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/********************************************************************************** | ||
* MIT License * | ||
* * | ||
* Copyright (c) 2017 Vahan Aghajanyan <[email protected]> * | ||
* * | ||
* Permission is hereby granted, free of charge, to any person obtaining a copy * | ||
* of this software and associated documentation files (the "Software"), to deal * | ||
* in the Software without restriction, including without limitation the rights * | ||
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell * | ||
* copies of the Software, and to permit persons to whom the Software is * | ||
* furnished to do so, subject to the following conditions: * | ||
* * | ||
* The above copyright notice and this permission notice shall be included in all * | ||
* copies or substantial portions of the Software. * | ||
* * | ||
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR * | ||
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, * | ||
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE * | ||
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER * | ||
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, * | ||
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE * | ||
* SOFTWARE. * | ||
***********************************************************************************/ | ||
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#ifndef POLYLINEENCODER_H | ||
#define POLYLINEENCODER_H | ||
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#include <cassert> | ||
#include <cinttypes> | ||
#include <cmath> | ||
#include <limits> | ||
#include <string> | ||
#include <vector> | ||
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namespace gepaf | ||
{ | ||
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//! Implements Google's Encoded Polyline Algorithm Format | ||
/*! | ||
For more details refer to the algorithm definition at | ||
https://developers.google.com/maps/documentation/utilities/polylinealgorithm | ||
Default implementation (precision of 5 decimal places) guarantees to conform | ||
with the results of the Google Interactive Polyline Encoder Utility | ||
(https://developers.google.com/maps/documentation/utilities/polylineutility) | ||
*/ | ||
template<int Digits = 5> | ||
class PolylineEncoder | ||
{ | ||
public: | ||
/// A geodetic point. | ||
class Point | ||
{ | ||
public: | ||
/// Creates a geodetic point with the given coordinates. | ||
/*! | ||
Both latitude and longitude will be rounded to a reasonable precision | ||
of 5 decimal places (default) or to the number of digits specified by the template parameter.. | ||
\param latitude The latitude in decimal point degrees. The values are bounded by ±90.0°. | ||
\param longitude The longitude in decimal point degrees. The values are bounded by ±180.0°. | ||
*/ | ||
Point(double latitude, double longitude); | ||
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/// Returns the latitude. | ||
double latitude() const; | ||
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/// Returns the longitude. | ||
double longitude() const; | ||
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private: | ||
double m_latitude { 0.0 }; | ||
double m_longitude{ 0.0 }; | ||
}; | ||
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/// The container of geodetic points to be encoded. | ||
using Polyline = std::vector<Point>; | ||
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//! Adds new point with the given \p latitude and \p longitude for encoding. | ||
/*! | ||
Note: both latitude and longitude will be rounded to a reasonable precision | ||
of 5 decimal places (default) or to the number of digits specified by the | ||
template parameter. | ||
\param latitude The latitude in decimal point degrees. The values are bounded by ±90.0°. | ||
\param longitude The longitude in decimal point degrees. The values are bounded by ±180.0°. | ||
*/ | ||
void addPoint(double latitude, double longitude); | ||
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//! Encode the polyline according to the defined compression algorithm. | ||
/*! | ||
\return The encoded polyline as string. | ||
*/ | ||
std::string encode() const; | ||
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//! Returns the existing polyline. | ||
const Polyline &polyline() const; | ||
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//! Clears the list of points. | ||
void clear(); | ||
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//! Returns the result of encoding of the given polyline. | ||
static std::string encode(const Polyline &polyline); | ||
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//! Returns polyline decoded from the given \p coordinates string. | ||
static Polyline decode(const std::string &coordinates); | ||
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enum Precision | ||
{ | ||
Value = PolylineEncoder<Digits - 1>::Precision::Value * 10 | ||
}; | ||
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private: | ||
//! Encodes a single value according to the compression algorithm. | ||
static std::string encode(double value); | ||
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//! Decodes the current decimal value out of string. | ||
static double decode(const std::string &coords, size_t &i); | ||
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//! Store the polyline - the list of points. | ||
Polyline m_polyline; | ||
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//! Constants | ||
static const int s_chunkSize = 5; | ||
static const int s_asciiOffset = 63; | ||
static const int s_5bitMask = 0x1f; // 0b11111 = 31 | ||
static const int s_6bitMask = 0x20; // 0b100000 = 32 | ||
}; | ||
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// A bogus class for compile-time precision calculations. | ||
template<> | ||
class PolylineEncoder<0> | ||
{ | ||
public: | ||
enum Precision | ||
{ | ||
Value = 1 // 10^0 = 1 | ||
}; | ||
}; | ||
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/////////////////////////////////////////////////////////////////////////////// | ||
// PolylineEncoder implementation | ||
/////////////////////////////////////////////////////////////////////////////// | ||
template<int Digits> | ||
PolylineEncoder<Digits>::Point::Point(double latitude, double longitude) | ||
: m_latitude(std::round(latitude *Precision::Value) / Precision::Value) | ||
, m_longitude(std::round(longitude *Precision::Value) / Precision::Value) | ||
{ | ||
assert(latitude <= 90.0 && latitude >= -90.0); | ||
assert(longitude <= 180.0 && longitude >= -180.0); | ||
} | ||
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template<int Digits> | ||
double PolylineEncoder<Digits>::Point::latitude() const | ||
{ | ||
return m_latitude; | ||
} | ||
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template<int Digits> | ||
double PolylineEncoder<Digits>::Point::longitude() const | ||
{ | ||
return m_longitude; | ||
} | ||
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template<int Digits> | ||
void PolylineEncoder<Digits>::addPoint(double latitude, double longitude) | ||
{ | ||
m_polyline.emplace_back(latitude, longitude); | ||
} | ||
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template<int Digits> | ||
std::string PolylineEncoder<Digits>::encode() const | ||
{ | ||
return encode(m_polyline); | ||
} | ||
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template<int Digits> | ||
std::string PolylineEncoder<Digits>::encode(double value) | ||
{ | ||
int32_t e5 = | ||
std::round(value * Precision::Value); // (2) | ||
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e5 <<= 1; // (4) | ||
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if (value < 0) { | ||
e5 = ~e5; // (5) | ||
} | ||
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bool hasNextChunk = false; | ||
std::string result; | ||
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// Split the value into 5-bit chunks and convert each of them to integer | ||
do { | ||
int32_t nextChunk = (e5 >> s_chunkSize); // (6), (7) - start from the left 5 bits. | ||
hasNextChunk = nextChunk > 0; | ||
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int charVar = e5 & s_5bitMask; // 5-bit mask (0b11111 == 31). Extract the left 5 bits. | ||
if (hasNextChunk) { | ||
charVar |= s_6bitMask; // (8) | ||
} | ||
charVar += s_asciiOffset; // (10) | ||
result += (char)charVar; // (11) | ||
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e5 = nextChunk; | ||
} while (hasNextChunk); | ||
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return result; | ||
} | ||
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template<int Digits> | ||
std::string PolylineEncoder<Digits>::encode(const PolylineEncoder::Polyline &polyline) | ||
{ | ||
std::string result; | ||
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// The first segment: offset from (.0, .0) | ||
double latPrev = .0; | ||
double lonPrev = .0; | ||
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for (const auto &point : polyline) { | ||
const auto lat = point.latitude(); | ||
const auto lon = point.longitude(); | ||
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// Offset from the previous point | ||
result.append(encode(lat - latPrev)); | ||
result.append(encode(lon - lonPrev)); | ||
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latPrev = lat; | ||
lonPrev = lon; | ||
} | ||
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return result; | ||
} | ||
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template<int Digits> | ||
double PolylineEncoder<Digits>::decode(const std::string &coords, size_t &i) | ||
{ | ||
assert(i < coords.size()); | ||
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int32_t result = 0; | ||
int shift = 0; | ||
char c = 0; | ||
do { | ||
if (i < coords.size()) { | ||
c = coords.at(i++); | ||
c -= s_asciiOffset; // (10) | ||
result |= (c & s_5bitMask) << shift; | ||
shift += s_chunkSize; // (7) | ||
} else { | ||
return std::numeric_limits<double>::quiet_NaN(); | ||
} | ||
} while (c >= s_6bitMask); | ||
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if (result & 1) { | ||
result = ~result; // (5) | ||
} | ||
result >>= 1; // (4) | ||
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// Convert to decimal value with the given precision. | ||
return result / static_cast<double>(Precision::Value); // (2) | ||
} | ||
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template<int Digits> | ||
typename PolylineEncoder<Digits>::Polyline PolylineEncoder<Digits>::decode(const std::string &coords) | ||
{ | ||
PolylineEncoder<Digits>::Polyline polyline; | ||
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size_t i = 0; | ||
while (i < coords.size()) { | ||
double lat = decode(coords, i); | ||
if (std::isnan(lat) || fabs(lat) > 90.0) { | ||
// Invalid latitude, implies invalid polyline string. | ||
polyline.clear(); | ||
break; // exit while | ||
} | ||
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double lon = std::numeric_limits<double>::quiet_NaN(); | ||
if (i < coords.size()) { | ||
lon = decode(coords, i); | ||
} | ||
if (std::isnan(lon) || fabs(lon) > 180.0) { | ||
// Invalid longitude, implies invalid polyline string. | ||
polyline.clear(); | ||
break; // exit while | ||
} | ||
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if (!polyline.empty()) { | ||
const auto &prevPoint = polyline.back(); | ||
lat += prevPoint.latitude(); | ||
lon += prevPoint.longitude(); | ||
} | ||
polyline.emplace_back(lat, lon); | ||
} | ||
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return polyline; | ||
} | ||
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template<int Digits> | ||
const typename PolylineEncoder<Digits>::Polyline &PolylineEncoder<Digits>::polyline() const | ||
{ | ||
return m_polyline; | ||
} | ||
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template<int Digits> | ||
void PolylineEncoder<Digits>::clear() | ||
{ | ||
m_polyline.clear(); | ||
} | ||
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} // namespace | ||
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#endif // POLYLINEENCODER_H | ||
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