📄 ecefpoint.java
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// **********************************************************************// // <copyright>// // BBN Technologies// 10 Moulton Street// Cambridge, MA 02138// (617) 873-8000// // Copyright (C) BBNT Solutions LLC. All rights reserved.// // </copyright>// **********************************************************************// // $Source: /cvs/distapps/openmap/src/openmap/com/bbn/openmap/proj/coords/ECEFPoint.java,v $// $RCSfile: ECEFPoint.java,v $// $Revision: 1.1.2.5 $// $Date: 2005/08/11 21:03:10 $// $Author: dietrick $// // **********************************************************************// **********************************************************************// // Based on coordinate conversion utilities in GeoTools//// Note: Height calculations are present, but commented out.// // **********************************************************************package com.bbn.openmap.proj.coords;import java.io.DataInputStream;import java.io.DataOutputStream;import java.io.IOException;import com.bbn.openmap.LatLonPoint;import com.bbn.openmap.MoreMath;/** * From: * http://www.commlinx.com.au/Datum%20Transformation%20Description.html : * <P> * The Cartesian coordinate frame of reference used in GPS/GLONASS is * called Earth-Centered, Earth-Fixed (ECEF). ECEF uses * three-dimensional XYZ coordinates (in meters) to describe the * location of a GPS user or satellite. The term "Earth- Centered" * comes from the fact that the origin of the axis (0,0,0) is located * at the mass center of gravity (determined through years of tracking * satellite trajectories). The term "Earth-Fixed" implies that the * axes are fixed with respect to the earth (that is, they rotate with * the earth). The Z-axis pierces the North Pole, and the XY-axis * defines the equatorial plane (Figure 1). * <P> * * ECEF coordinates are expressed in a reference system that is * related to mapping representations. Because the earth has a complex * shape, a simple, yet accurate, method to approximate the earth's * shape is required. The use of a reference ellipsoid allows for the * conversion of the ECEF coordinates to the more commonly used * geodetic-mapping coordinates of Latitude, Longitude, and Altitude * (LLA). */public class ECEFPoint { protected static double EQUIVALENT_TOLERANCE = 0.001; protected double x_ = 0.0; protected double y_ = 0.0; protected double z_ = 0.0; /** * Construct a default ECEFPoint. */ public ECEFPoint() {} /** * Construct an ECEFPoint */ public ECEFPoint(double x, double y, double z) { setECEF(x, y, z); } /** * Construct an ECEFPoint * * @param pt ECEFPoint */ public ECEFPoint(ECEFPoint pt) { x_ = pt.x_; y_ = pt.y_; z_ = pt.z_; } /** * Construct an ECEFPoint */ public ECEFPoint(float x, float y, float z) { this((double) x, (double) y, (double) z); } public static ECEFPoint LLtoECEF(LatLonPoint llpoint) { return LLtoECEF(llpoint, new ECEFPoint()); } public static ECEFPoint LLtoECEF(LatLonPoint llpoint, ECEFPoint ecef) { if (ecef == null) { ecef = new ECEFPoint(); } ecef.setLatLon(llpoint); return ecef; } /** * Returns a string representation of the object. * * @return String representation */ public String toString() { return "ECEFPoint[x=" + x_ + ",y=" + y_ + ",z=" + z_ + "]"; } /** * Set x. */ public void setx(double x) { x_ = x; } /** * Set y. */ public void sety(double y) { y_ = y; } /** * Set z. */ public void setz(double z) { z_ = z; } /** * Set x y z. */ public void setECEF(double x, double y, double z) { x_ = x; y_ = y; z_ = z; } /** * Set ECEFPoint. */ public void setECEF(ECEFPoint pt) { x_ = pt.x_; y_ = pt.y_; z_ = pt.z_; } /** * Get x */ public double getx() { return x_; } /** * Get y */ public double gety() { return y_; } /** * Get z */ public double getz() { return z_; } /** * Determines whether two ECEFPoints are equal. * * @param obj Object * @return Whether the two points are equal */ public boolean equals(Object obj) { if (obj instanceof ECEFPoint) { ECEFPoint pt = (ECEFPoint) obj; return (MoreMath.approximately_equal(x_, pt.x_, EQUIVALENT_TOLERANCE) && MoreMath.approximately_equal(y_, pt.y_, EQUIVALENT_TOLERANCE) && MoreMath.approximately_equal(z_, pt.z_, EQUIVALENT_TOLERANCE)); } return false; } /** * Write object. * * @param s DataOutputStream */ public void write(DataOutputStream s) throws IOException { // Write my information s.writeDouble(x_); s.writeDouble(y_); s.writeDouble(z_); } /** * Read object. * * @param s DataInputStream */ public void read(DataInputStream s) throws IOException { setECEF(s.readDouble(), s.readDouble(), s.readDouble()); } /** * Set an ECEFPoint from a LatLonPoint * * @param pt LatLonPoint */ public void setLatLon(LatLonPoint pt) { setLatLon(pt.getLatitude(), pt.getLongitude()); } /** * Set an ECEFPoint from a Lat, Lon */ public void setLatLon(float lat, float lon) { final double a = 6378137.0; //WGS84 semimajor (meters) final double b = 6356752.3142; //WGS84 semiminor (meters) final double a2 = a * a; final double b2 = b * b; final double e2 = (a2 - b2) / a2; final double L = Math.toRadians(lon); // Longitude final double P = Math.toRadians(lat); // Latitude final double h = 0; // Height above the ellipsoid (m) final double cosLat = Math.cos(P); final double sinLat = Math.sin(P); final double rn = a / Math.sqrt(1 - e2 * (sinLat * sinLat)); final double x = (rn + h) * cosLat * Math.cos(L); // X: Toward // prime // meridian final double y = (rn + h) * cosLat * Math.sin(L); // Y: Toward // East final double z = (rn * (1 - e2) + h) * sinLat; // Z: Toward // North this.setECEF(x, y, z); } /** * Return a LatLonPoint */ public LatLonPoint getLatLon() { final double a = 6378137.0; //WGS84 semimajor (meters) final double b = 6356752.3142; //WGS84 semiminor (meters) final double a2 = a * a; final double b2 = b * b; final double e2 = (a2 - b2) / a2; final double ep2 = (a2 - b2) / b2; /** * Cosine of 67.5 degrees. */// final double COS_67P5 = 0.38268343236508977; /** * Toms region 1 constant. */ final double AD_C = 1.0026000; final double x = x_; // Toward prime meridian final double y = y_; // Toward East final double z = z_; // Toward North // Note: The Java version of 'atan2' work correctly for x==0. // No need for special handling like in the C version. // No special handling neither for latitude. Formulas // below are generic enough, considering that 'atan' // work correctly with infinities (1/0). // Note: Variable names follow the notation used in Toms, Feb // 1996 final double W2 = x * x + y * y; // square of distance from Z // axis final double W = Math.sqrt(W2); // distance from Z axis final double T0 = z * AD_C; // initial estimate of vertical // component final double S0 = Math.sqrt(T0 * T0 + W2); // initial estimate // of horizontal // component final double sin_B0 = T0 / S0; // sin(B0), B0 is estimate of // Bowring aux variable final double cos_B0 = W / S0; // cos(B0) final double sin3_B0 = sin_B0 * sin_B0 * sin_B0; // cube of // sin(B0) final double T1 = z + b * ep2 * sin3_B0; // corrected estimate // of vertical // component final double sum = W - a * e2 * (cos_B0 * cos_B0 * cos_B0); // numerator // of // cos(phi1) final double S1 = Math.sqrt(T1 * T1 + sum * sum); // corrected // estimate // of // horizontal // component final double sin_p1 = T1 / S1; // sin(phi1), phi1 is estimated // latitude final double cos_p1 = sum / S1; // cos(phi1) final double longitude = Math.toDegrees(Math.atan2(y, x)); final double latitude = Math.toDegrees(Math.atan(sin_p1 / cos_p1)); // final double height; // if (computeHeight) { // final double rn = a/Math.sqrt(1-e2*(sin_p1*sin_p1)); // // Earth radius at location // if (cos_p1 >= +COS_67P5) height = W / +cos_p1 - rn; // else if (cos_p1 <= -COS_67P5) height = W / -cos_p1 - rn; // else height = z / sin_p1 + rn*(e2 - 1.0); // } LatLonPoint dst = new LatLonPoint((float) latitude, (float) longitude); return dst; }}
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