* Copyright (c) 2021 Huawei Device Co., Ltd.
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#include "geomagnetic_field.h"
#include <mutex>
#include "sensor_utils.h"
using namespace OHOS::Sensors;
namespace {
constexpr float EARTH_MAJOR_AXIS_RADIUS = 6378.137f;
constexpr float EARTH_MINOR_AXIS_RADIUS = 6356.7523142f;
constexpr float EARTH_REFERENCE_RADIUS = 6371.2f;
constexpr float PRECISION = 1e-5f;
constexpr float LATITUDE_MAX = 90.0f;
constexpr float LATITUDE_MIN = -90.0f;
constexpr float CONVERSION_FACTOR = 1000.0f;
constexpr float DERIVATIVE_FACTOR = 1.0f;
constexpr int64_t WMM_BASE_TIME = 1580486400000;
constexpr float GAUSS_COEFFICIENT_G[13][13] = {
{0.0f},
{-29404.5f, -1450.7f},
{-2500.0f, 2982.0f, 1676.8f},
{1363.9f, -2381.0f, 1236.2f, 525.7f},
{903.1f, 809.4f, 86.2f, -309.4f, 47.9f},
{-234.4f, 363.1f, 187.8f, -140.7f, -151.2f, 13.7f},
{65.9f, 65.6f, 73.0f, -121.5f, -36.2f, 13.5f, -64.7f},
{80.6f, -76.8f, -8.3f, 56.5f, 15.8f, 6.4f, -7.2f, 9.8f},
{23.6f, 9.8f, -17.5f, -0.4f, -21.1f, 15.3f, 13.7f, -16.5f, -0.3f},
{5.0f, 8.2f, 2.9f, -1.4f, -1.1f, -13.3f, 1.1f, 8.9f, -9.3f, -11.9f},
{-1.9f, -6.2f, -0.1f, 1.7f, -0.9f, 0.6f, -0.9f, 1.9f, 1.4f, -2.4f, -3.9f},
{3.0f, -1.4f, -2.5f, 2.4f, -0.9f, 0.3f, -0.7f, -0.1f, 1.4f, -0.6f, 0.2f, 3.1f},
{-2.0f, -0.1f, 0.5f, 1.3f, -1.2f, 0.7f, 0.3f, 0.5f, -0.2f, -0.5f, 0.1f, -1.1f, -0.3f}
};
constexpr float GAUSS_COEFFICIENT_H[13][13] = {
{0.0f},
{0.0f, 4652.9f},
{0.0f, -2991.6f, -734.8f},
{0.0f, -82.2f, 241.8f, -542.9f},
{0.0f, 282.0f, -158.4f, 199.8f, -350.1f},
{0.0f, 47.7f, 208.4f, -121.3f, 32.2f, 99.1f},
{0.0f, -19.1f, 25.0f, 52.7f, -64.4f, 9.0f, 68.1f},
{0.0f, -51.4f, -16.8f, 2.3f, 23.5f, -2.2f, -27.2f, -1.9f},
{0.0f, 8.4f, -15.3f, 12.8f, -11.8f, 14.9f, 3.6f, -6.9f, 2.8f},
{0.0f, -23.3f, 11.1f, 9.8f, -5.1f, -6.2f, 7.8f, 0.4f, -1.5f, 9.7f},
{0.0f, 3.4f, -0.2f, 3.5f, 4.8f, -8.6f, -0.1f, -4.2f, -3.4f, -0.1f, -8.8f},
{0.0f, 0.0f, 2.6f, -0.5f, -0.4f, 0.6f, -0.2f, -1.7f, -1.6f, -3.0f, -2.0f, -2.6f},
{0.0f, -1.2f, 0.5f, 1.3f, -1.8f, 0.1f, 0.7f, -0.1f, 0.6f, 0.2f, -0.9f, 0.0f, 0.5f}
};
constexpr float DELTA_GAUSS_COEFFICIENT_G[13][13] = {
{0.0f},
{6.7f, 7.7f},
{-11.5f, -7.1f, -2.2f},
{2.8f, -6.2f, 3.4f, -12.2f},
{-1.1f, -1.6f, -6.0f, 5.4f, -5.5f},
{-0.3f, 0.6f, -0.7f, 0.1f, 1.2f, 1.0f},
{-0.6f, -0.4f, 0.5f, 1.4f, -1.4f, 0.0f, 0.8f},
{-0.1f, -0.3f, -0.1f, 0.7f, 0.2f, -0.5f, -0.8f, 1.0f},
{-0.1f, 0.1f, -0.1f, 0.5f, -0.1f, 0.4f, 0.5f, 0.0f, 0.4f},
{-0.1f, -0.2f, 0.0f, 0.4f, -0.3f, 0.0f, 0.3f, 0.0f, 0.0f, -0.4f},
{0.0f, 0.0f, 0.0f, 0.2f, -0.1f, -0.2f, 0.0f, -0.1f, -0.2f, -0.1f, 0.0f},
{0.0f, -0.1f, 0.0f, 0.0f, 0.0f, -0.1f, 0.0f, 0.0f, -0.1f, -0.1f, -0.1f, -0.1f},
{0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, -0.1f}
};
constexpr float DELTA_GAUSS_COEFFICIENT_H[13][13] = {
{0.0f},
{0.0f, -25.1f},
{0.0f, -30.2f, -23.9f},
{0.0f, 5.7f, -1.0f, 1.1f},
{0.0f, 0.2f, 6.9f, 3.7f, -5.6f},
{0.0f, 0.1f, 2.5f, -0.9f, 3.0f, 0.5f},
{0.0f, 0.1f, -1.8f, -1.4f, 0.9f, 0.1f, 1.0f},
{0.0f, 0.5f, 0.6f, -0.7f, -0.2f, -1.2f, 0.2f, 0.3f},
{0.0f, -0.3f, 0.7f, -0.2f, 0.5f, -0.3f, -0.5f, 0.4f, 0.1f},
{0.0f, -0.3f, 0.2f, -0.4f, 0.4f, 0.1f, 0.0f, -0.2f, 0.5f, 0.2f},
{0.0f, 0.0f, 0.1f, -0.3f, 0.1f, -0.2f, 0.1f, 0.0f, -0.1f, 0.2f, 0.0f},
{0.0f, 0.0f, 0.1f, 0.0f, 0.2f, 0.0f, 0.0f, 0.1f, 0.0f, -0.1f, 0.0f, 0.0f},
{0.0f, 0.0f, 0.0f, -0.1f, 0.1f, 0.0f, 0.0f, 0.0f, 0.1f, 0.0f, 0.0f, 0.0f, -0.1f}
};
constexpr int32_t GAUSSIAN_COEFFICIENT_DIMENSION = 13;
std::mutex g_mutex;
float g_northComponent;
float g_eastComponent;
float g_downComponent;
float g_geocentricLatitude;
float g_geocentricLongitude;
float g_geocentricRadius;
std::vector<std::vector<float>> schmidtQuasiNormalFactors;
std::vector<std::vector<float>> polynomials(GAUSSIAN_COEFFICIENT_DIMENSION);
std::vector<std::vector<float>> polynomialsDerivative(GAUSSIAN_COEFFICIENT_DIMENSION);
std::vector<float> relativeRadiusPower(GAUSSIAN_COEFFICIENT_DIMENSION + 2);
std::vector<float> sinMLongitude(GAUSSIAN_COEFFICIENT_DIMENSION);
std::vector<float> cosMLongitude(GAUSSIAN_COEFFICIENT_DIMENSION);
}
GeomagneticField::GeomagneticField(float latitude, float longitude, float altitude, int64_t timeMillis)
{
std::lock_guard<std::mutex> geomagneticLock(g_mutex);
schmidtQuasiNormalFactors = GetSchmidtQuasiNormalFactors(GAUSSIAN_COEFFICIENT_DIMENSION);
float gcLatitude = fmax(LATITUDE_MIN + PRECISION, fmin(LATITUDE_MAX - PRECISION, latitude));
CalibrateGeocentricCoordinates(gcLatitude, longitude, altitude);
InitLegendreTable(GAUSSIAN_COEFFICIENT_DIMENSION - 1, static_cast<float>(M_PI / 2.0 - g_geocentricLatitude));
GetRelativeRadiusPower();
double latDiffRad = ToRadians(gcLatitude) - g_geocentricLatitude;
CalculateGeomagneticComponent(latDiffRad, timeMillis);
}
std::vector<std::vector<float>> GeomagneticField::GetSchmidtQuasiNormalFactors(int32_t expansionDegree)
{
std::vector<std::vector<float>> schmidtQuasiNormFactors(expansionDegree + 1);
schmidtQuasiNormFactors[0].resize(1);
schmidtQuasiNormFactors[0][0] = 1.0f;
for (int32_t row = 1; row <= expansionDegree; row++) {
schmidtQuasiNormFactors[row].resize(row + 1);
schmidtQuasiNormFactors[row][0] =
schmidtQuasiNormFactors[row - 1][0] * (2 * row - 1) / static_cast<float>(row);
for (int32_t column = 1; column <= row; column++) {
schmidtQuasiNormFactors[row][column] = schmidtQuasiNormFactors[row][column - 1]
* static_cast<float>(sqrt((row - column + 1) * ((column == 1) ? 2 : 1)
/ static_cast<float>(row + column)));
}
}
return schmidtQuasiNormFactors;
}
void GeomagneticField::CalculateGeomagneticComponent(double latDiffRad, int64_t timeMillis)
{
float yearsSinceBase = (timeMillis - WMM_BASE_TIME) / (365.0f * 24.0f * 60.0f * 60.0f * 1000.0f);
float inverseCosLatitude = IsEqual(static_cast<float>(cos(g_geocentricLatitude)), 0.0f) ?
std::numeric_limits<float>::max() : DERIVATIVE_FACTOR / static_cast<float>(cos(g_geocentricLatitude));
GetLongitudeTrigonometric();
float gcX = 0.0f;
float gcY = 0.0f;
float gcZ = 0.0f;
for (int32_t row = 1; row < GAUSSIAN_COEFFICIENT_DIMENSION; row++) {
for (int32_t column = 0; column <= row; column++) {
float g = GAUSS_COEFFICIENT_G[row][column] + yearsSinceBase
* DELTA_GAUSS_COEFFICIENT_G[row][column];
float h = GAUSS_COEFFICIENT_H[row][column] + yearsSinceBase
* DELTA_GAUSS_COEFFICIENT_H[row][column];
gcX += relativeRadiusPower[row + 2]
* (g * cosMLongitude[column] + h * sinMLongitude[column])
* polynomialsDerivative[row][column]
* schmidtQuasiNormalFactors[row][column];
gcY += relativeRadiusPower[row + 2] * column
* (g * sinMLongitude[column] - h * cosMLongitude[column])
* polynomials[row][column]
* schmidtQuasiNormalFactors[row][column]
* inverseCosLatitude;
gcZ -= (row + 1) * relativeRadiusPower[row + 2]
* (g * cosMLongitude[column] + h * sinMLongitude[column])
* polynomials[row][column]
* schmidtQuasiNormalFactors[row][column];
}
g_northComponent = static_cast<float>(gcX * cos(latDiffRad) + gcZ * sin(latDiffRad));
g_eastComponent = gcY;
g_downComponent = static_cast<float>(-gcX * sin(latDiffRad) + gcZ * cos(latDiffRad));
}
}
void GeomagneticField::GetLongitudeTrigonometric()
{
sinMLongitude[0] = 0.0f;
cosMLongitude[0] = 1.0f;
sinMLongitude[1] = static_cast<float>(sin(g_geocentricLongitude));
cosMLongitude[1] = static_cast<float>(cos(g_geocentricLongitude));
for (uint32_t index = 2; index < GAUSSIAN_COEFFICIENT_DIMENSION; ++index) {
uint32_t x = index >> 1;
sinMLongitude[index] = (sinMLongitude[index - x] * cosMLongitude[x]
+ cosMLongitude[index - x] * sinMLongitude[x]);
cosMLongitude[index] = (cosMLongitude[index - x] * cosMLongitude[x]
- sinMLongitude[index - x] * sinMLongitude[x]);
}
}
void GeomagneticField::GetRelativeRadiusPower()
{
relativeRadiusPower[0] = 1.0f;
relativeRadiusPower[1] = IsEqual(g_geocentricRadius, 0.0f) ? std::numeric_limits<float>::max() :
EARTH_REFERENCE_RADIUS / g_geocentricRadius;
for (int32_t index = 2; index < static_cast<int32_t>(relativeRadiusPower.size()); ++index) {
relativeRadiusPower[index] = relativeRadiusPower[index - 1] * relativeRadiusPower[1];
}
}
void GeomagneticField::CalibrateGeocentricCoordinates(float latitude, float longitude, float altitude)
{
float altitudeKm = altitude / CONVERSION_FACTOR;
float a2 = EARTH_MAJOR_AXIS_RADIUS * EARTH_MAJOR_AXIS_RADIUS;
float b2 = EARTH_MINOR_AXIS_RADIUS * EARTH_MINOR_AXIS_RADIUS;
double gdLatRad = ToRadians(latitude);
float clat = static_cast<float>(cos(gdLatRad));
float slat = static_cast<float>(sin(gdLatRad));
float tlat = IsEqual(clat, 0.0f) ? std::numeric_limits<float>::max() : slat / clat;
float latRad = static_cast<float>(sqrt(a2 * clat * clat + b2 * slat * slat));
g_geocentricLatitude = static_cast<float>(atan(tlat * (latRad * altitudeKm + b2)
/ (latRad * altitudeKm + a2)));
g_geocentricLongitude = static_cast<float>(ToRadians(longitude));
float radSq = altitudeKm * altitudeKm + 2 * altitudeKm
* latRad + (a2 * a2 * clat * clat + b2 * b2 * slat * slat)
/ (a2 * clat * clat + b2 * slat * slat);
g_geocentricRadius = static_cast<float>(sqrt(radSq));
}
void GeomagneticField::InitLegendreTable(int32_t expansionDegree, float thetaRad)
{
polynomials[0].resize(1);
polynomials[0][0] = 1.0f;
polynomialsDerivative[0].resize(1);
polynomialsDerivative[0][0] = 0.0f;
float cosValue = static_cast<float>(cos(thetaRad));
float sinValue = static_cast<float>(sin(thetaRad));
for (int32_t row = 1; row <= expansionDegree; row++) {
polynomials[row].resize(row + 1);
polynomialsDerivative[row].resize(row + 1);
for (int32_t column = 0; column <= row; column++) {
if (row == column) {
polynomials[row][column] = sinValue * polynomials[row - 1][column - 1];
polynomialsDerivative[row][column] = cosValue * polynomials[row - 1][column - 1]
+ sinValue * polynomialsDerivative[row - 1][column - 1];
} else if (row == 1 || column == row - 1) {
polynomials[row][column] = cosValue * polynomials[row - 1][column];
polynomialsDerivative[row][column] = -sinValue * polynomials[row - 1][column]
+ cosValue * polynomialsDerivative[row - 1][column];
} else {
float k = ((row - 1) * (row - 1) - column * column)
/ static_cast<float>((2 * row - 1) * (2 * row - 3));
polynomials[row][column] = cosValue * polynomials[row - 1][column]
- k * polynomials[row - 2][column];
polynomialsDerivative[row][column] = -sinValue * polynomials[row - 1][column]
+ cosValue * polynomialsDerivative[row - 1][column]
- k * polynomialsDerivative[row - 2][column];
}
}
}
}
float GeomagneticField::ObtainX()
{
std::lock_guard<std::mutex> geomagneticLock(g_mutex);
return g_northComponent;
}
float GeomagneticField::ObtainY()
{
std::lock_guard<std::mutex> geomagneticLock(g_mutex);
return g_eastComponent;
}
float GeomagneticField::ObtainZ()
{
std::lock_guard<std::mutex> geomagneticLock(g_mutex);
return g_downComponent;
}
float GeomagneticField::ObtainGeomagneticDip()
{
std::lock_guard<std::mutex> geomagneticLock(g_mutex);
float horizontalIntensity = hypot(g_northComponent, g_eastComponent);
return static_cast<float>(ToDegrees(atan2(g_downComponent, horizontalIntensity)));
}
double GeomagneticField::ToDegrees(double angrad)
{
return angrad * 180.0 / M_PI;
}
double GeomagneticField::ToRadians(double angdeg)
{
return angdeg / 180.0 * M_PI;
}
float GeomagneticField::ObtainDeflectionAngle()
{
std::lock_guard<std::mutex> geomagneticLock(g_mutex);
return static_cast<float>(ToDegrees(atan2(g_eastComponent, g_northComponent)));
}
float GeomagneticField::ObtainLevelIntensity()
{
std::lock_guard<std::mutex> geomagneticLock(g_mutex);
float horizontalIntensity = hypot(g_northComponent, g_eastComponent);
return horizontalIntensity;
}
float GeomagneticField::ObtainTotalIntensity()
{
std::lock_guard<std::mutex> geomagneticLock(g_mutex);
float sumOfSquares = g_northComponent * g_northComponent + g_eastComponent * g_eastComponent
+ g_downComponent * g_downComponent;
float totalIntensity = static_cast<float>(sqrt(sumOfSquares));
return totalIntensity;
}