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/*
 * Copyright 1998-2012 University Corporation for Atmospheric Research/Unidata
 *
 * Portions of this software were developed by the Unidata Program at the
 * University Corporation for Atmospheric Research.
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package ucar.unidata.geoloc.projection;

import ucar.nc2.constants.CDM;
import ucar.nc2.constants.CF;
import ucar.unidata.geoloc.*;
import ucar.unidata.geoloc.projection.sat.BoundingBoxHelper;

/**
 * Vertical Perspective Projection, spherical earth.
 * 

* See John Snyder, Map Projections used by the USGS, Bulletin 1532, * 2nd edition (1983), p 176 * * @author Unidata Development Team * @see Projection * @see ProjectionImpl */ public class VerticalPerspectiveView extends ProjectionImpl { private double lat0, lon0; // center lat/lon in radians private final double false_east, false_north; private double R, H; // constants from Snyder's equations private double P, lon0Degrees; private double cosLat0, sinLat0; private double maxR; // "map limit" circle of this radius from the origin, p 173 @Override public ProjectionImpl constructCopy() { ProjectionImpl result = new VerticalPerspectiveView(getOriginLat(), getOriginLon(), R, getHeight(), false_east, false_north); result.setDefaultMapArea(defaultMapArea); result.setName(name); return result; } /** * Constructor with default parameters */ public VerticalPerspectiveView() { this(0.0, 0.0, EARTH_RADIUS, 35800); } /** * Construct a VerticalPerspectiveView Projection * * @param lat0 lat origin of the coord. system on the projection plane * @param lon0 lon origin of the coord. system on the projection plane * @param earthRadius radius of the earth (km) * @param distance height above the earth (km) */ public VerticalPerspectiveView(double lat0, double lon0, double earthRadius, double distance) { this(lat0, lon0, earthRadius, distance, 0, 0); } /** * Construct a VerticalPerspectiveView Projection * * @param lat0 lat origin of the coord. system on the projection plane * @param lon0 lon origin of the coord. system on the projection plane * @param earthRadius radius of the earth (km) * @param distance height above the earth (km) * @param false_easting easting offset (km) * @param false_northing northing offset (km) */ public VerticalPerspectiveView(double lat0, double lon0, double earthRadius, double distance, double false_easting, double false_northing) { super("VerticalPerspectiveView", false); this.lat0 = Math.toRadians(lat0); this.lon0 = Math.toRadians(lon0); R = earthRadius; H = distance; false_east = false_easting; false_north = false_northing; precalculate(); addParameter(CF.GRID_MAPPING_NAME, CF.VERTICAL_PERSPECTIVE); addParameter(CF.LATITUDE_OF_PROJECTION_ORIGIN, lat0); addParameter(CF.LONGITUDE_OF_PROJECTION_ORIGIN, lon0); addParameter(CF.EARTH_RADIUS, earthRadius * 1000); addParameter(CF.PERSPECTIVE_POINT_HEIGHT, distance * 1000); if (false_easting != 0 || false_northing != 0) { addParameter(CF.FALSE_EASTING, false_easting); addParameter(CF.FALSE_NORTHING, false_northing); addParameter(CDM.UNITS, "km"); } } /** * Precalculate some stuff */ private void precalculate() { sinLat0 = Math.sin(lat0); cosLat0 = Math.cos(lat0); lon0Degrees = Math.toDegrees(lon0); P = 1.0 + H / R; // "map limit" circle of this radius from the origin, p 173 maxR = .99 * R * Math.sqrt((P - 1) / (P + 1)); } @Override public boolean equals(Object o) { if (this == o) return true; if (o == null || getClass() != o.getClass()) return false; VerticalPerspectiveView that = (VerticalPerspectiveView) o; if (Double.compare(that.H, H) != 0) return false; if (Double.compare(that.R, R) != 0) return false; if (Double.compare(that.false_east, false_east) != 0) return false; if (Double.compare(that.false_north, false_north) != 0) return false; if (Double.compare(that.lat0, lat0) != 0) return false; if (Double.compare(that.lon0, lon0) != 0) return false; if ((defaultMapArea == null) != (that.defaultMapArea == null)) return false; // common case is that these are null if (defaultMapArea != null && !that.defaultMapArea.equals(defaultMapArea)) return false; return true; } @Override public int hashCode() { int result; long temp; temp = lat0 != +0.0d ? Double.doubleToLongBits(lat0) : 0L; result = (int) (temp ^ (temp >>> 32)); temp = lon0 != +0.0d ? Double.doubleToLongBits(lon0) : 0L; result = 31 * result + (int) (temp ^ (temp >>> 32)); temp = false_east != +0.0d ? Double.doubleToLongBits(false_east) : 0L; result = 31 * result + (int) (temp ^ (temp >>> 32)); temp = false_north != +0.0d ? Double.doubleToLongBits(false_north) : 0L; result = 31 * result + (int) (temp ^ (temp >>> 32)); temp = R != +0.0d ? Double.doubleToLongBits(R) : 0L; result = 31 * result + (int) (temp ^ (temp >>> 32)); temp = H != +0.0d ? Double.doubleToLongBits(H) : 0L; result = 31 * result + (int) (temp ^ (temp >>> 32)); return result; } // bean properties /** * Get the height above the earth * * @return the height above the earth */ public double getHeight() { return H; } /** * Get the origin longitude in degrees * * @return the origin longitude. */ public double getOriginLon() { return Math.toDegrees(lon0); } /** * Get the origin latitude in degrees * * @return the origin latitude. */ public double getOriginLat() { return Math.toDegrees(lat0); } ////////////////////////////////////////////// // setters for IDV serialization - do not use except for object creating /** * Set the origin longitude. * @param lon the origin longitude. */ public void setOriginLon(double lon) { lon0 = Math.toRadians(lon); precalculate(); } /** * Set the height above the earth * @param height height above the earth */ public void setHeight(double height) { H = height; precalculate(); } /** * Set the origin latitude. * * @param lat the origin latitude. */ public void setOriginLat(double lat) { lat0 = Math.toRadians(lat); precalculate(); } /** * Get the label to be used in the gui for this type of projection * * @return Type label */ public String getProjectionTypeLabel() { return "VerticalPerspectiveView"; } /** * Create a String of the parameters. * * @return a String of the parameters */ public String paramsToString() { return toString(); } @Override public String toString() { return "VerticalPerspectiveView{" + "lat0=" + lat0 + ", lon0=" + lon0 + ", false_east=" + false_east + ", false_north=" + false_north + ", R=" + R + ", H=" + H + ", P=" + P + '}'; } /** * This returns true when the line between pt1 and pt2 crosses the seam. * When the cone is flattened, the "seam" is lon0 +- 180. * * @param pt1 point 1 * @param pt2 point 2 * @return true when the line between pt1 and pt2 crosses the seam. */ public boolean crossSeam(ProjectionPoint pt1, ProjectionPoint pt2) { // either point is infinite if (ProjectionPointImpl.isInfinite(pt1) || ProjectionPointImpl.isInfinite(pt2)) { return true; } // opposite signed X values, larger then 5000 km return (pt1.getX() * pt2.getX() < 0) && (Math.abs(pt1.getX() - pt2.getX()) > 5000.0); } /*MACROBODY latLonToProj {} { fromLat = Math.toRadians(fromLat); double lonDiff = Math.toRadians(LatLonPointImpl.lonNormal(fromLon-lon0Degrees)); double cosc = sinLat0*Math.sin(fromLat) + cosLat0*Math.cos(fromLat)*Math.cos(lonDiff); double ksp = (P-1.0)/(P-cosc); if (cosc < 1.0/P) { toX = Double.POSITIVE_INFINITY; toY = Double.POSITIVE_INFINITY; } else { toX = false_east + R*ksp*Math.cos(fromLat)*Math.sin(lonDiff); toY = false_north + R*ksp*(cosLat0*Math.sin(fromLat) - sinLat0*Math.cos(fromLat)*Math.cos(lonDiff)); } } projToLatLon {} { fromX = fromX - false_east; fromY = fromY - false_north; double rho = Math.sqrt(fromX*fromX + fromY*fromY); double r = rho /R; double con = P - 1.0; double com = P + 1.0; double c = Math.asin((P - Math.sqrt(1.0 - (r * r * com) / con)) / (con / r + r/con)); toLon = lon0; double temp = 0; if (Math.abs(rho) > TOLERANCE) { toLat = Math.asin(Math.cos(c)*sinLat0 + (fromY*Math.sin(c)*cosLat0/rho)); if (Math.abs(lat0 - PI_OVER_4) > TOLERANCE) { // not 90 or -90 temp = rho*cosLat0*Math.cos(c) - fromY*sinLat0*Math.sin(c); toLon = lon0 + Math.atan(fromX*Math.sin(c)/temp); } else if (lat0 == PI_OVER_4) { toLon = lon0 + Math.atan(fromX/-fromY); temp = -fromY; } else { toLon = lon0 + Math.atan(fromX/fromY); temp = fromY; } } else { toLat = lat0; } toLat= Math.toDegrees(toLat); toLon= Math.toDegrees(toLon); if (temp < 0) toLon += 180; toLon= LatLonPointImpl.lonNormal(toLon); } MACROBODY*/ /*BEGINGENERATED*/ /* Note this section has been generated using the convert.tcl script. This script, run as: tcl convert.tcl VerticalPerspectiveView.java takes the actual projection conversion code defined in the MACROBODY section above and generates the following 6 methods */ /** * Convert a LatLonPoint to projection coordinates * * @param latLon convert from these lat, lon coordinates * @param result the object to write to * @return the given result */ public ProjectionPoint latLonToProj(LatLonPoint latLon, ProjectionPointImpl result) { double toX, toY; double fromLat = latLon.getLatitude(); double fromLon = latLon.getLongitude(); fromLat = Math.toRadians(fromLat); double lonDiff = Math.toRadians(LatLonPointImpl.lonNormal(fromLon - lon0Degrees)); double cosc = sinLat0 * Math.sin(fromLat) + cosLat0 * Math.cos(fromLat) * Math.cos(lonDiff); double ksp = (P - 1.0) / (P - cosc); if (cosc < 1.0 / P) { toX = Double.POSITIVE_INFINITY; toY = Double.POSITIVE_INFINITY; } else { toX = false_east + R * ksp * Math.cos(fromLat) * Math.sin(lonDiff); toY = false_north + R * ksp * (cosLat0 * Math.sin(fromLat) - sinLat0 * Math.cos(fromLat) * Math.cos(lonDiff)); } result.setLocation(toX, toY); return result; } /** * Convert projection coordinates to a LatLonPoint * Note: a new object is not created on each call for the return value. * * @param world convert from these projection coordinates * @param result the object to write to * @return LatLonPoint convert to these lat/lon coordinates */ public LatLonPoint projToLatLon(ProjectionPoint world, LatLonPointImpl result) { double toLat, toLon; double fromX = world.getX(); double fromY = world.getY(); fromX = fromX - false_east; fromY = fromY - false_north; double rho = Math.sqrt(fromX * fromX + fromY * fromY); double r = rho / R; double con = P - 1.0; double com = P + 1.0; double c = Math.asin((P - Math.sqrt(1.0 - (r * r * com) / con)) / (con / r + r / con)); toLon = lon0; double temp = 0; if (Math.abs(rho) > TOLERANCE) { toLat = Math.asin(Math.cos(c) * sinLat0 + (fromY * Math.sin(c) * cosLat0 / rho)); if (Math.abs(lat0 - PI_OVER_4) > TOLERANCE) { // not 90 or -90 temp = rho * cosLat0 * Math.cos(c) - fromY * sinLat0 * Math.sin(c); toLon = lon0 + Math.atan(fromX * Math.sin(c) / temp); } else if (Double.compare(lat0, PI_OVER_4) == 0) { toLon = lon0 + Math.atan(fromX / -fromY); temp = -fromY; } else { toLon = lon0 + Math.atan(fromX / fromY); temp = fromY; } } else { toLat = lat0; } toLat = Math.toDegrees(toLat); toLon = Math.toDegrees(toLon); if (temp < 0) { toLon += 180; } toLon = LatLonPointImpl.lonNormal(toLon); result.setLatitude(toLat); result.setLongitude(toLon); return result; } /** * Convert lat/lon coordinates to projection coordinates. * * @param from array of lat/lon coordinates: from[2][n], * where from[0][i], from[1][i] is the (lat,lon) * coordinate of the ith point * @param to resulting array of projection coordinates, * where to[0][i], to[1][i] is the (x,y) coordinate * of the ith point * @param latIndex index of latitude in "from" * @param lonIndex index of longitude in "from" * @return the "to" array. */ public float[][] latLonToProj(float[][] from, float[][] to, int latIndex, int lonIndex) { int cnt = from[0].length; float[] fromLatA = from[latIndex]; float[] fromLonA = from[lonIndex]; float[] resultXA = to[INDEX_X]; float[] resultYA = to[INDEX_Y]; double toX, toY; for (int i = 0; i < cnt; i++) { double fromLat = fromLatA[i]; double fromLon = fromLonA[i]; fromLat = Math.toRadians(fromLat); double lonDiff = Math.toRadians(LatLonPointImpl.lonNormal(fromLon - lon0Degrees)); double cosc = sinLat0 * Math.sin(fromLat) + cosLat0 * Math.cos(fromLat) * Math.cos(lonDiff); double ksp = (P - 1.0) / (P - cosc); if (cosc < 1.0 / P) { toX = Double.POSITIVE_INFINITY; toY = Double.POSITIVE_INFINITY; } else { toX = false_east + R * ksp * Math.cos(fromLat) * Math.sin(lonDiff); toY = false_north + R * ksp * (cosLat0 * Math.sin(fromLat) - sinLat0 * Math.cos(fromLat) * Math.cos(lonDiff)); } resultXA[i] = (float) toX; resultYA[i] = (float) toY; } return to; } /** * Convert lat/lon coordinates to projection coordinates. * * @param from array of lat/lon coordinates: from[2][n], where * (from[0][i], from[1][i]) is the (lat,lon) coordinate * of the ith point * @param to resulting array of projection coordinates: to[2][n] * where (to[0][i], to[1][i]) is the (x,y) coordinate * of the ith point * @return the "to" array */ public float[][] projToLatLon(float[][] from, float[][] to) { int cnt = from[0].length; float[] fromXA = from[INDEX_X]; float[] fromYA = from[INDEX_Y]; float[] toLatA = to[INDEX_LAT]; float[] toLonA = to[INDEX_LON]; double toLat, toLon; for (int i = 0; i < cnt; i++) { double fromX = fromXA[i]; double fromY = fromYA[i]; fromX = fromX - false_east; fromY = fromY - false_north; double rho = Math.sqrt(fromX * fromX + fromY * fromY); double r = rho / R; double con = P - 1.0; double com = P + 1.0; double c = Math.asin((P - Math.sqrt(1.0 - (r * r * com) / con)) / (con / r + r / con)); toLon = lon0; double temp = 0; if (Math.abs(rho) > TOLERANCE) { toLat = Math.asin(Math.cos(c) * sinLat0 + (fromY * Math.sin(c) * cosLat0 / rho)); if (Math.abs(lat0 - PI_OVER_4) > TOLERANCE) { // not 90 or -90 temp = rho * cosLat0 * Math.cos(c) - fromY * sinLat0 * Math.sin(c); toLon = lon0 + Math.atan(fromX * Math.sin(c) / temp); } else if (Double.compare(lat0, PI_OVER_4) == 0) { toLon = lon0 + Math.atan(fromX / -fromY); temp = -fromY; } else { toLon = lon0 + Math.atan(fromX / fromY); temp = fromY; } } else { toLat = lat0; } toLat = Math.toDegrees(toLat); toLon = Math.toDegrees(toLon); if (temp < 0) { toLon += 180; } toLon = LatLonPointImpl.lonNormal(toLon); toLatA[i] = (float) toLat; toLonA[i] = (float) toLon; } return to; } /** * Convert lat/lon coordinates to projection coordinates. * * @param from array of lat/lon coordinates: from[2][n], * where from[0][i], from[1][i] is the (lat,lon) * coordinate of the ith point * @param to resulting array of projection coordinates, * where to[0][i], to[1][i] is the (x,y) coordinate * of the ith point * @param latIndex index of latitude in "from" * @param lonIndex index of longitude in "from" * @return the "to" array. */ public double[][] latLonToProj(double[][] from, double[][] to, int latIndex, int lonIndex) { int cnt = from[0].length; double[] fromLatA = from[latIndex]; double[] fromLonA = from[lonIndex]; double[] resultXA = to[INDEX_X]; double[] resultYA = to[INDEX_Y]; double toX, toY; for (int i = 0; i < cnt; i++) { double fromLat = fromLatA[i]; double fromLon = fromLonA[i]; fromLat = Math.toRadians(fromLat); double lonDiff = Math.toRadians(LatLonPointImpl.lonNormal(fromLon - lon0Degrees)); double cosc = sinLat0 * Math.sin(fromLat) + cosLat0 * Math.cos(fromLat) * Math.cos(lonDiff); double ksp = (P - 1.0) / (P - cosc); if (cosc < 1.0 / P) { toX = Double.POSITIVE_INFINITY; toY = Double.POSITIVE_INFINITY; } else { toX = false_east + R * ksp * Math.cos(fromLat) * Math.sin(lonDiff); toY = false_north + R * ksp * (cosLat0 * Math.sin(fromLat) - sinLat0 * Math.cos(fromLat) * Math.cos(lonDiff)); } resultXA[i] = toX; resultYA[i] = toY; } return to; } /** * Convert lat/lon coordinates to projection coordinates. * * @param from array of lat/lon coordinates: from[2][n], where * (from[0][i], from[1][i]) is the (lat,lon) coordinate * of the ith point * @param to resulting array of projection coordinates: to[2][n] * where (to[0][i], to[1][i]) is the (x,y) coordinate * of the ith point * @return the "to" array */ public double[][] projToLatLon(double[][] from, double[][] to) { int cnt = from[0].length; double[] fromXA = from[INDEX_X]; double[] fromYA = from[INDEX_Y]; double[] toLatA = to[INDEX_LAT]; double[] toLonA = to[INDEX_LON]; double toLat, toLon; for (int i = 0; i < cnt; i++) { double fromX = fromXA[i]; double fromY = fromYA[i]; fromX = fromX - false_east; fromY = fromY - false_north; double rho = Math.sqrt(fromX * fromX + fromY * fromY); double r = rho / R; double con = P - 1.0; double com = P + 1.0; double c = Math.asin((P - Math.sqrt(1.0 - (r * r * com) / con)) / (con / r + r / con)); toLon = lon0; double temp = 0; if (Math.abs(rho) > TOLERANCE) { toLat = Math.asin(Math.cos(c) * sinLat0 + (fromY * Math.sin(c) * cosLat0 / rho)); if (Math.abs(lat0 - PI_OVER_4) > TOLERANCE) { // not 90 or -90 temp = rho * cosLat0 * Math.cos(c) - fromY * sinLat0 * Math.sin(c); toLon = lon0 + Math.atan(fromX * Math.sin(c) / temp); } else if (Double.compare(lat0, PI_OVER_4) == 0) { toLon = lon0 + Math.atan(fromX / -fromY); temp = -fromY; } else { toLon = lon0 + Math.atan(fromX / fromY); temp = fromY; } } else { toLat = lat0; } toLat = Math.toDegrees(toLat); toLon = Math.toDegrees(toLon); if (temp < 0) { toLon += 180; } toLon = LatLonPointImpl.lonNormal(toLon); toLatA[i] = toLat; toLonA[i] = toLon; } return to; } /*ENDGENERATED*/ /** * Create a ProjectionRect from the given LatLonRect. * Handles lat/lon points that do not intersect the projection panel. * * @param rect the LatLonRect * @return ProjectionRect, or null if no part of the LatLonRect intersects the projection plane */ @Override public ProjectionRect latLonToProjBB(LatLonRect rect) { BoundingBoxHelper bbhelper = new BoundingBoxHelper(this, maxR); return bbhelper.latLonToProjBB(rect); } private static void test(double lat, double lon) { double radius = 6371.0; VerticalPerspectiveView a = new VerticalPerspectiveView(0, 0, radius, 5.62 * radius); ProjectionPoint p = a.latLonToProj(lat, lon); System.out.println("-----\nproj point = " + p); System.out.println("x/r = " + p.getX() / radius); // see snyder p 174 System.out.println("y/r = " + p.getY() / radius); LatLonPoint ll = a.projToLatLon(p); System.out.println(" lat = " + ll.getLatitude() + " should be= " + lat); System.out.println(" lon = " + ll.getLongitude() + " should be= " + lon); } public static void main(String[] args) { double radius = 6371.0; double height = 35747.0; VerticalPerspectiveView a = new VerticalPerspectiveView(0, 0, radius, height); double limit = .99 * Math.sqrt((a.P - 1) / (a.P + 1)); System.out.println(" limit = " + limit); System.out.println(" limit*90 = " + limit * 90); /* whats the min and max lat/lon ? double theta = 0; while (theta <= 360) { double x = limit*radius * Math.cos(Math.toRadians(theta)); double y = limit*radius * Math.sin(Math.toRadians(theta)); LatLonPointImpl llpt = (LatLonPointImpl) a.projToLatLon( new ProjectionPointImpl(x, y)); System.out.println(theta+" = "+llpt.toString()); theta += 15; } */ LatLonRect rect = new LatLonRect(new LatLonPointImpl(-45.0, -45.0), -45.0, -45.0); ProjectionRect r = a.latLonToProjBB(rect); System.out.println(" ProjectionRect result = " + r); /* double minx, maxx, miny, maxy; // first clip the request rectangle to the bounding box of the grid LatLonRect bb = getLatLonBoundingBox(); rect = bb.intersect( rect); if (null == rect) throw new InvalidRangeException("Request Bounding box does not intersect Grid"); LatLonPointImpl llpt = rect.getLowerLeftPoint(); LatLonPointImpl urpt = rect.getUpperRightPoint(); LatLonPointImpl lrpt = rect.getLowerRightPoint(); LatLonPointImpl ulpt = rect.getUpperLeftPoint(); if (isLatLon()) { minx = getMinOrMaxLon(llpt.getLongitude(), ulpt.getLongitude(), true); miny = Math.min(llpt.getLatitude(), lrpt.getLatitude()); maxx = getMinOrMaxLon(urpt.getLongitude(), lrpt.getLongitude(), false); maxy = Math.min(ulpt.getLatitude(), urpt.getLatitude()); } else { Projection dataProjection = getProjection(); ProjectionPoint ll = dataProjection.latLonToProj(llpt, new ProjectionPointImpl()); ProjectionPoint ur = dataProjection.latLonToProj(urpt, new ProjectionPointImpl()); ProjectionPoint lr = dataProjection.latLonToProj(lrpt, new ProjectionPointImpl()); ProjectionPoint ul = dataProjection.latLonToProj(ulpt, new ProjectionPointImpl()); minx = Math.min(ll.getX(), ul.getX()); miny = Math.min(ll.getY(), lr.getY()); maxx = Math.max(ur.getX(), lr.getX()); maxy = Math.max(ul.getY(), ur.getY()); } */ } }





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