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107 lines
3.6 KiB
C++
107 lines
3.6 KiB
C++
/*
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* Based on libgeotrans with the following Source Code Disclaimer:
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1. The GEOTRANS source code ("the software") is provided free of charge by
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the National Imagery and Mapping Agency (NIMA) of the United States
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Department of Defense. Although NIMA makes no copyright claim under Title 17
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U.S.C., NIMA claims copyrights in the source code under other legal regimes.
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NIMA hereby grants to each user of the software a license to use and
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distribute the software, and develop derivative works.
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2. Warranty Disclaimer: The software was developed to meet only the internal
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requirements of the U.S. National Imagery and Mapping Agency. The software
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is provided "as is," and no warranty, express or implied, including but not
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limited to the implied warranties of merchantability and fitness for
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particular purpose or arising by statute or otherwise in law or from a
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course of dealing or usage in trade, is made by NIMA as to the accuracy and
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functioning of the software.
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3. NIMA and its personnel are not required to provide technical support or
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general assistance with respect to the software.
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4. Neither NIMA nor its personnel will be liable for any claims, losses, or
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damages arising from or connected with the use of the software. The user
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agrees to hold harmless the United States National Imagery and Mapping
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Agency. The user's sole and exclusive remedy is to stop using the software.
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5. NIMA requests that products developed using the software credit the
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source of the software with the following statement, "The product was
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developed using GEOTRANS, a product of the National Imagery and Mapping
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Agency and U.S. Army Engineering Research and Development Center."
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6. For any products developed using the software, NIMA requires a disclaimer
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that use of the software does not indicate endorsement or approval of the
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product by the Secretary of Defense or the National Imagery and Mapping
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Agency. Pursuant to the United States Code, 10 U.S.C. Sec. 2797, the name of
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the National Imagery and Mapping Agency, the initials "NIMA", the seal of
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the National Imagery and Mapping Agency, or any colorable imitation thereof
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shall not be used to imply approval, endorsement, or authorization of a
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product without prior written permission from United States Secretary of
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Defense.
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*/
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#include "ellipsoid.h"
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#include "geocentric.h"
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#define AD_C 1.0026000
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Point3D Geocentric::fromGeodetic(const Coordinates &c, const Ellipsoid &e)
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{
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double lat = deg2rad(c.lat());
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double lon = deg2rad(c.lon());
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double slat = sin(lat);
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double slat2 = slat * slat;
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double clat = cos(lat);
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double Rn = e.radius() / (sqrt(1.0 - e.es() * slat2));
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if (lon > M_PI)
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lon -= 2 * M_PI;
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return Point3D(Rn * clat * cos(lon), Rn * clat * sin(lon),
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(Rn * (1 - e.es())) * slat);
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}
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Coordinates Geocentric::toGeodetic(const Point3D &p, const Ellipsoid &e)
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{
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bool pole = false;
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double lat, lon;
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if (p.x() == 0.0) {
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if (p.y() > 0)
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lon = M_PI_2;
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else if (p.y() < 0)
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lon = -M_PI_2;
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else {
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pole = true;
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lon = 0.0;
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if (p.z() > 0.0)
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lat = M_PI_2;
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else if (p.z() < 0.0)
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lat = -M_PI_2;
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else
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return Coordinates(rad2deg(lon), rad2deg(M_PI_2));
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}
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} else
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lon = atan2(p.y(), p.x());
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double W2 = p.x()*p.x() + p.y()*p.y();
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double W = sqrt(W2);
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double T0 = p.z() * AD_C;
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double S0 = sqrt(T0 * T0 + W2);
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double Sin_B0 = T0 / S0;
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double Cos_B0 = W / S0;
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double Sin3_B0 = Sin_B0 * Sin_B0 * Sin_B0;
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double T1 = p.z() + e.b() * e.e2s() * Sin3_B0;
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double Sum = W - e.radius() * e.es() * Cos_B0 * Cos_B0 * Cos_B0;
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double S1 = sqrt(T1*T1 + Sum * Sum);
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double Sin_p1 = T1 / S1;
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double Cos_p1 = Sum / S1;
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if (!pole)
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lat = atan(Sin_p1 / Cos_p1);
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return Coordinates(rad2deg(lon), rad2deg(lat));
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}
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