TransverseMercator.cpp

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#include "TransverseMercator.h"

#include <cmath>
#include <cfloat>

#include "Constants.h"
#include "IException.h"
#include "TProjection.h"
#include "Pvl.h"
#include "PvlGroup.h"
#include "PvlKeyword.h"

using namespace std;
namespace Isis {
  TransverseMercator::TransverseMercator(Pvl &label, bool allowDefaults) :
      TProjection::TProjection(label) {
    try {
      // Try to read the mapping group
      PvlGroup &mapGroup = label.findGroup("Mapping", Pvl::Traverse);

      // Compute and write the default center longitude if allowed and
      // necessary
      if ((allowDefaults) && (!mapGroup.hasKeyword("CenterLongitude"))) {
        double lon = (m_minimumLongitude + m_maximumLongitude) / 2.0;
        mapGroup += PvlKeyword("CenterLongitude", toString(lon));
      }

      // Compute and write the default center latitude if allowed and
      // necessary
      if ((allowDefaults) && (!mapGroup.hasKeyword("CenterLatitude"))) {
        double lat = (m_minimumLatitude + m_maximumLatitude) / 2.0;
        mapGroup += PvlKeyword("CenterLatitude", toString(lat));
      }

      // Get the center longitude  & latitude
      m_centerLongitude = mapGroup["CenterLongitude"];
      m_centerLatitude = mapGroup["CenterLatitude"];

      // make sure the center latitude value is valid
      if (fabs(m_centerLatitude) >= 90.0) {
        string msg = "Invalid Center Latitude Value. Must be between -90 and 90";
        throw IException(IException::Io, msg, _FILEINFO_);
      }

      // make sure the center longitude value is valid
      if (fabs(m_centerLongitude) > 360.0) {
        string msg = "Invalid Center Longitude Value. Must be between -360 and 360";
        throw IException(IException::Io, msg, _FILEINFO_);
      }

      // convert latitude to planetographic if it is planetocentric
      if (IsPlanetocentric()) {
        m_centerLatitude = ToPlanetographic(m_centerLatitude);
      }

      // convert to radians and adjust for longitude direction
      if (m_longitudeDirection == PositiveWest) m_centerLongitude *= -1.0;
      m_centerLatitude *= PI / 180.0;
      m_centerLongitude *= PI / 180.0;

      // Compute other necessary variables. See Snyder, page 61
      m_eccsq = Eccentricity() * Eccentricity();
      m_esp = m_eccsq;
      m_e0 = 1.0 - 0.25 * m_eccsq * (1.0 + m_eccsq / 16.0 * (3.0 + 1.25 * m_eccsq));
      m_e1 = 0.375 * m_eccsq * (1.0 + 0.25 * m_eccsq * (1.0 + 0.468750 * m_eccsq));
      m_e2 = 0.058593750 * m_eccsq * m_eccsq * (1.0 + 0.750 * m_eccsq);
      m_e3 = m_eccsq * m_eccsq * m_eccsq * (35.0 / 3072.0);
      m_ml0 = m_equatorialRadius * (m_e0 * m_centerLatitude - m_e1 * sin(2.0 * m_centerLatitude) +
                                    m_e2 * sin(4.0 * m_centerLatitude) - m_e3 * sin(6.0 * m_centerLatitude));

      // Set flag for sphere or ellipsiod
      m_sph = true; // Sphere
      if (Eccentricity() >= .00001) {
        m_sph = false; // Ellipsoid
        m_esp = m_eccsq / (1.0 - m_eccsq);
      }

      // Get the scale factor
      if ((allowDefaults) && (!mapGroup.hasKeyword("ScaleFactor"))) {
        mapGroup += PvlKeyword("ScaleFactor", toString(1.0));
      }
      m_scalefactor = mapGroup["ScaleFactor"];
    }
    catch(IException &e) {
      string message = "Invalid label group [Mapping]";
      throw IException(e, IException::Io, message, _FILEINFO_);
    }
  }

  TransverseMercator::~TransverseMercator() {
  }

  bool TransverseMercator::operator== (const Projection &proj) {
    if (!Projection::operator==(proj)) return false;
    // dont do the below it is a recusive plunge
    //  if (Projection::operator!=(proj)) return false;
    TransverseMercator *trans = (TransverseMercator *) &proj;
    if ((trans->m_centerLongitude != m_centerLongitude) ||
        (trans->m_centerLatitude != m_centerLatitude)) return false;
    return true;
  }

  QString TransverseMercator::Name() const {
    return "TransverseMercator";
  }

  QString TransverseMercator::Version() const {
    return "1.0";
  }

  bool TransverseMercator::SetGround(const double lat, const double lon) {
    // Get longitude & fix direction
    m_longitude = lon;
    if (m_longitudeDirection == PositiveWest) m_longitude *= -1.0;

    double cLonDeg = m_centerLongitude * 180.0 / PI;
    double deltaLon = m_longitude - cLonDeg;
    while(deltaLon < -360.0) deltaLon += 360.0;
    while(deltaLon > 360.0) deltaLon -= 360.0;
    double deltaLonRads = deltaLon * PI / 180.0;

    // Now convert latitude to radians & clean up ... it must be planetographic
    m_latitude = lat;
    double latRadians = m_latitude * PI / 180.0;
    if (IsPlanetocentric()) {
      latRadians = ToPlanetographic(m_latitude) * PI / 180.0;
    }

    // distance along the meridian fromthe Equator to the latitude phi
    // see equation (3-21) on pages 61, 17.
    double M = m_equatorialRadius * (m_e0 * latRadians 
                                      - m_e1 * sin(2.0 * latRadians)
                                      + m_e2 * sin(4.0 * latRadians) 
                                      - m_e3 * sin(6.0 * latRadians));

    // Declare variables
    const double epsilon = 1.0e-10;

    // Sphere Conversion
    double x, y;
    if (m_sph) {
      double cosphi = cos(latRadians);
      double b = cosphi * sin(deltaLonRads);

      // Point projects to infinity
      if (fabs(fabs(b) - 1.0) <= epsilon) {
        m_good = false;
        return m_good;
      }
      x = 0.5 * m_equatorialRadius * m_scalefactor * log((1.0 + b) / (1.0 - b));

      // If arcosine argument is too close to 1, con=0.0 because arcosine(1)=0
      double con = cosphi * cos(deltaLonRads) / sqrt(1.0 - b * b);
      if (fabs(con) > 1.0) {
        con = 0.0;
      }
      else {
        con = acos(con);
      }
      if (m_latitude < 0.0) con = -con;
      y = m_equatorialRadius * m_scalefactor * (con - m_centerLatitude);
    }

    // Ellipsoid Conversion
    else {
      if (fabs(HALFPI - fabs(latRadians)) < epsilon) {
        x = 0.0;
        y = m_scalefactor * (M - m_ml0);
      }
      else {
        // Define Snyder's variables for ellipsoidal projections, page61
        double sinphi = sin(latRadians);
        double cosphi = cos(latRadians);
        double A = cosphi * deltaLonRads;        // see equation (8-15), page 61
        double Asquared = A * A;
        double C = m_esp * cosphi * cosphi;      // see equation (8-14), page 61
        double tanphi = tan(latRadians);
        double T = tanphi * tanphi;              // see equation (8-13), page 61
        double N = m_equatorialRadius / sqrt(1.0 - m_eccsq * sinphi * sinphi);
                                                 // see equation (4-20), page 61

        x = m_scalefactor * N * A 
               * (1.0 + Asquared / 6.0 * (1.0 - T + C + Asquared / 20.0 
                                 *(5.0 - 18.0*T + T*T + 72.0*C - 58.0*m_esp)));
        y = m_scalefactor 
               * (M - m_ml0 + N*tanphi*(Asquared * (0.5 + Asquared / 24.0 *
                             (5.0 - T + 9.0*C + 4.0*C*C + Asquared / 30.0
                             *(61.0 - 58.0*T + T*T + 600.0*C - 330.0*m_esp)))));
      }
    }

    SetComputedXY(x, y);
    m_good = true;
    return m_good;
  }

  bool TransverseMercator::SetCoordinate(const double x, const double y) {
    // Save the coordinate
    SetXY(x, y);

    // Declare & Initialize variables
    double f, g, h, temp, con, phi, dphi, sinphi, cosphi, tanphi;
    double c, cs, t, ts, n, rp, d, ds;
    const double epsilon = 1.0e-10;

    // Sphere Conversion
    if (m_sph) {
      f = exp(GetX() / (m_equatorialRadius * m_scalefactor));
      g = 0.5 * (f - 1.0 / f);
      temp = m_centerLatitude + GetY() / (m_equatorialRadius * m_scalefactor);
      h = cos(temp);
      con = sqrt((1.0 - h * h) / (1.0 + g * g));
      if (con > 1.0) con = 1.0;
      if (con < -1.0) con = -1.0;
      m_latitude = asin(con);
      if (temp < 0.0) m_latitude = -m_latitude;
      m_longitude = m_centerLongitude;
      if (g != 0.0 || h != 0.0) {
        m_longitude = atan2(g, h) + m_centerLongitude;
      }
    }

    // Ellipsoid Conversion
    else if (!m_sph) {
      con = (m_ml0 + GetY() / m_scalefactor) / m_equatorialRadius;
      phi = con;
      for (int i = 1; i < 7; i++) {
        dphi = ((con + m_e1 * sin(2.0 * phi) - m_e2 * sin(4.0 * phi)
                 + m_e3 * sin(6.0 * phi)) / m_e0) - phi;
        phi += dphi;
        if (fabs(dphi) <= epsilon) break;
      }

      // Didn't converge
      if (fabs(dphi) > epsilon) {
        m_good = false;
        return m_good;
      }
      if (fabs(phi) >= HALFPI) {
        if (GetY() >= 0.0) m_latitude = fabs(HALFPI);
        if (GetY() < 0.0) m_latitude = - fabs(HALFPI);
        m_longitude = m_centerLongitude;
      }
      else {
        sinphi = sin(phi);
        cosphi = cos(phi);
        tanphi = tan(phi);
        c = m_esp * cosphi * cosphi;
        cs = c * c;
        t = tanphi * tanphi;
        ts = t * t;
        con = 1.0 - m_eccsq * sinphi * sinphi;
        n = m_equatorialRadius / sqrt(con);
        rp = n * (1.0 - m_eccsq) / con;
        d = GetX() / (n * m_scalefactor);
        ds = d * d;
        m_latitude = phi - (n * tanphi * ds / rp) * (0.5 - ds /
                     24.0 * (5.0 + 3.0 * t + 10.0 * c - 4.0 * cs - 9.0 *
                             m_esp - ds / 30.0 * (61.0 + 90.0 * t + 298.0 * c +
                                 45.0 * ts - 252.0 * m_esp - 3.0 * cs)));


        // Latitude cannot be greater than + or - halfpi radians (or 90 degrees)
        if (fabs(m_latitude) > HALFPI) {
          m_good = false;
          return m_good;
        }
        m_longitude = m_centerLongitude 
                      + (d * (1.0 - ds / 6.0 *
                              (1.0 + 2.0 * t + c - ds / 20.0 * (5.0 - 2.0 * c +
                                   28.0 * t - 3.0 * cs + 8.0 * m_esp + 24.0 * ts))) / cosphi);
      }
    }

    // Convert to Degrees
    m_latitude *= 180.0 / PI;
    m_longitude *= 180.0 / PI;

    // Cleanup the longitude
    if (m_longitudeDirection == PositiveWest) m_longitude *= -1.0;
    // These need to be done for circular type projections
    m_longitude = To360Domain(m_longitude);
    if (m_longitudeDomain == 180) m_longitude = To180Domain(m_longitude);

    // Cleanup the latitude
    if (IsPlanetocentric()) m_latitude = ToPlanetocentric(m_latitude);

    m_good = true;
    return m_good;
  }

  bool TransverseMercator::XYRange(double &minX, double &maxX, 
                                   double &minY, double &maxY) {
    // Check the corners of the lat/lon range
    XYRangeCheck(m_minimumLatitude, m_minimumLongitude);
    XYRangeCheck(m_maximumLatitude, m_minimumLongitude);
    XYRangeCheck(m_minimumLatitude, m_maximumLongitude);
    XYRangeCheck(m_maximumLatitude, m_maximumLongitude);

    // convert center latitude to degrees & test
    double clat = m_centerLatitude * 180.0 / PI;

    if (clat > m_minimumLatitude &&
        clat < m_maximumLatitude) {
      XYRangeCheck(clat, m_minimumLongitude);
      XYRangeCheck(clat, m_maximumLongitude);
    }

    // convert center longitude to degrees & test
    double clon = m_centerLongitude * 180.0 / PI;
    if (clon > m_minimumLongitude &&
        clon < m_maximumLongitude) {
      XYRangeCheck(m_minimumLatitude, clon);
      XYRangeCheck(m_maximumLatitude, clon);
    }

    // Make sure everything is ordered
    if (m_minimumX >= m_maximumX) return false;
    if (m_minimumY >= m_maximumY) return false;

    // Return X/Y min/maxs
    minX = m_minimumX;
    maxX = m_maximumX;
    minY = m_minimumY;
    maxY = m_maximumY;
    return true;
  }


  PvlGroup TransverseMercator::Mapping() {
    PvlGroup mapping = TProjection::Mapping();

    mapping += m_mappingGrp["CenterLatitude"];
    mapping += m_mappingGrp["CenterLongitude"];
    mapping += m_mappingGrp["ScaleFactor"];

    return mapping;
  }

  PvlGroup TransverseMercator::MappingLatitudes() {
    PvlGroup mapping = TProjection::MappingLatitudes();

    mapping += m_mappingGrp["CenterLatitude"];

    return mapping;
  }

  PvlGroup TransverseMercator::MappingLongitudes() {
    PvlGroup mapping = TProjection::MappingLongitudes();

    mapping += m_mappingGrp["CenterLongitude"];

    return mapping;
  }
} // end namespace isis

extern "C" Isis::Projection *TransverseMercatorPlugin(Isis::Pvl &lab,
    bool allowDefaults) {
  return new Isis::TransverseMercator(lab, allowDefaults);
}