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5441 lines
182 KiB
JavaScript
5441 lines
182 KiB
JavaScript
/*
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proj4js.js -- Javascript reprojection library.
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Authors: Mike Adair madairATdmsolutions.ca
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Richard Greenwood richATgreenwoodmap.com
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Didier Richard didier.richardATign.fr
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Stephen Irons stephen.ironsATclear.net.nz
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Olivier Terral oterralATgmail.com
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License:
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Copyright (c) 2012, Mike Adair, Richard Greenwood, Didier Richard,
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Stephen Irons and Olivier Terral
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Permission is hereby granted, free of charge, to any person obtaining a
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copy of this software and associated documentation files (the "Software"),
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to deal in the Software without restriction, including without limitation
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the rights to use, copy, modify, merge, publish, distribute, sublicense,
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and/or sell copies of the Software, and to permit persons to whom the
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Software is furnished to do so, subject to the following conditions:
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The above copyright notice and this permission notice shall be included
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in all copies or substantial portions of the Software.
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
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OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
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THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
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FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
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DEALINGS IN THE SOFTWARE.
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Note: This program is an almost direct port of the C library PROJ.4.
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*/
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/* ======================================================================
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proj4js.js
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====================================================================== */
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/*
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Author: Mike Adair madairATdmsolutions.ca
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Richard Greenwood rich@greenwoodmap.com
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License: LGPL as per: http://www.gnu.org/copyleft/lesser.html
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$Id: Proj.js 2956 2007-07-09 12:17:52Z steven $
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*/
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/**
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* Namespace: Proj4js
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*
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* Proj4js is a JavaScript library to transform point coordinates from one
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* coordinate system to another, including datum transformations.
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*
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* This library is a port of both the Proj.4 and GCTCP C libraries to JavaScript.
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* Enabling these transformations in the browser allows geographic data stored
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* in different projections to be combined in browser-based web mapping
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* applications.
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*
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* Proj4js must have access to coordinate system initialization strings (which
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* are the same as for PROJ.4 command line). Thes can be included in your
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* application using a <script> tag or Proj4js can load CS initialization
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* strings from a local directory or a web service such as spatialreference.org.
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*
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* Similarly, Proj4js must have access to projection transform code. These can
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* be included individually using a <script> tag in your page, built into a
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* custom build of Proj4js or loaded dynamically at run-time. Using the
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* -combined and -compressed versions of Proj4js includes all projection class
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* code by default.
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*
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* Note that dynamic loading of defs and code happens ascynchrously, check the
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* Proj.readyToUse flag before using the Proj object. If the defs and code
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* required by your application are loaded through script tags, dynamic loading
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* is not required and the Proj object will be readyToUse on return from the
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* constructor.
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*
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* All coordinates are handled as points which have a .x and a .y property
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* which will be modified in place.
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*
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* Override Proj4js.reportError for output of alerts and warnings.
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*
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* See http://trac.osgeo.org/proj4js/wiki/UserGuide for full details.
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*/
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/**
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* Global namespace object for Proj4js library
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*/
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var Proj4js = {
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/**
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* Property: defaultDatum
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* The datum to use when no others a specified
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*/
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defaultDatum: 'WGS84', //default datum
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/**
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* Method: transform(source, dest, point)
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* Transform a point coordinate from one map projection to another. This is
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* really the only public method you should need to use.
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*
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* Parameters:
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* source - {Proj4js.Proj} source map projection for the transformation
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* dest - {Proj4js.Proj} destination map projection for the transformation
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* point - {Object} point to transform, may be geodetic (long, lat) or
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* projected Cartesian (x,y), but should always have x,y properties.
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*/
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transform: function(source, dest, point) {
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if (!source.readyToUse) {
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this.reportError("Proj4js initialization for:"+source.srsCode+" not yet complete");
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return point;
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}
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if (!dest.readyToUse) {
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this.reportError("Proj4js initialization for:"+dest.srsCode+" not yet complete");
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return point;
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}
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// Workaround for datum shifts towgs84, if either source or destination projection is not wgs84
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if (source.datum && dest.datum && (
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((source.datum.datum_type == Proj4js.common.PJD_3PARAM || source.datum.datum_type == Proj4js.common.PJD_7PARAM) && dest.datumCode != "WGS84") ||
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((dest.datum.datum_type == Proj4js.common.PJD_3PARAM || dest.datum.datum_type == Proj4js.common.PJD_7PARAM) && source.datumCode != "WGS84"))) {
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var wgs84 = Proj4js.WGS84;
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this.transform(source, wgs84, point);
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source = wgs84;
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}
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// DGR, 2010/11/12
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if (source.axis!="enu") {
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this.adjust_axis(source,false,point);
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}
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// Transform source points to long/lat, if they aren't already.
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if ( source.projName=="longlat") {
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point.x *= Proj4js.common.D2R; // convert degrees to radians
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point.y *= Proj4js.common.D2R;
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} else {
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if (source.to_meter) {
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point.x *= source.to_meter;
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point.y *= source.to_meter;
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}
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source.inverse(point); // Convert Cartesian to longlat
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}
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// Adjust for the prime meridian if necessary
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if (source.from_greenwich) {
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point.x += source.from_greenwich;
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}
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// Convert datums if needed, and if possible.
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point = this.datum_transform( source.datum, dest.datum, point );
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// Adjust for the prime meridian if necessary
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if (dest.from_greenwich) {
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point.x -= dest.from_greenwich;
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}
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if( dest.projName=="longlat" ) {
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// convert radians to decimal degrees
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point.x *= Proj4js.common.R2D;
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point.y *= Proj4js.common.R2D;
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} else { // else project
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dest.forward(point);
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if (dest.to_meter) {
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point.x /= dest.to_meter;
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point.y /= dest.to_meter;
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}
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}
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// DGR, 2010/11/12
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if (dest.axis!="enu") {
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this.adjust_axis(dest,true,point);
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}
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return point;
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}, // transform()
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/** datum_transform()
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source coordinate system definition,
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destination coordinate system definition,
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point to transform in geodetic coordinates (long, lat, height)
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*/
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datum_transform : function( source, dest, point ) {
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// Short cut if the datums are identical.
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if( source.compare_datums( dest ) ) {
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return point; // in this case, zero is sucess,
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// whereas cs_compare_datums returns 1 to indicate TRUE
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// confusing, should fix this
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}
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// Explicitly skip datum transform by setting 'datum=none' as parameter for either source or dest
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if( source.datum_type == Proj4js.common.PJD_NODATUM
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|| dest.datum_type == Proj4js.common.PJD_NODATUM) {
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return point;
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}
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// Do we need to go through geocentric coordinates?
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if( source.es != dest.es || source.a != dest.a
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|| source.datum_type == Proj4js.common.PJD_3PARAM
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|| source.datum_type == Proj4js.common.PJD_7PARAM
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|| dest.datum_type == Proj4js.common.PJD_3PARAM
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|| dest.datum_type == Proj4js.common.PJD_7PARAM)
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{
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// Convert to geocentric coordinates.
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source.geodetic_to_geocentric( point );
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// CHECK_RETURN;
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// Convert between datums
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if( source.datum_type == Proj4js.common.PJD_3PARAM || source.datum_type == Proj4js.common.PJD_7PARAM ) {
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source.geocentric_to_wgs84(point);
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// CHECK_RETURN;
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}
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if( dest.datum_type == Proj4js.common.PJD_3PARAM || dest.datum_type == Proj4js.common.PJD_7PARAM ) {
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dest.geocentric_from_wgs84(point);
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// CHECK_RETURN;
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}
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// Convert back to geodetic coordinates
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dest.geocentric_to_geodetic( point );
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// CHECK_RETURN;
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}
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return point;
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}, // cs_datum_transform
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/**
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* Function: adjust_axis
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* Normalize or de-normalized the x/y/z axes. The normal form is "enu"
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* (easting, northing, up).
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* Parameters:
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* crs {Proj4js.Proj} the coordinate reference system
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* denorm {Boolean} when false, normalize
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* point {Object} the coordinates to adjust
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*/
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adjust_axis: function(crs, denorm, point) {
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var xin= point.x, yin= point.y, zin= point.z || 0.0;
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var v, t;
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for (var i= 0; i<3; i++) {
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if (denorm && i==2 && point.z===undefined) { continue; }
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if (i==0) { v= xin; t= 'x'; }
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else if (i==1) { v= yin; t= 'y'; }
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else { v= zin; t= 'z'; }
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switch(crs.axis[i]) {
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case 'e':
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point[t]= v;
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break;
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case 'w':
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point[t]= -v;
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break;
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case 'n':
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point[t]= v;
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break;
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case 's':
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point[t]= -v;
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break;
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case 'u':
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if (point[t]!==undefined) { point.z= v; }
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break;
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case 'd':
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if (point[t]!==undefined) { point.z= -v; }
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break;
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default :
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alert("ERROR: unknow axis ("+crs.axis[i]+") - check definition of "+crs.projName);
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return null;
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}
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}
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return point;
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},
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/**
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* Function: reportError
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* An internal method to report errors back to user.
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* Override this in applications to report error messages or throw exceptions.
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*/
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reportError: function(msg) {
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//console.log(msg);
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},
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/**
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*
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* Title: Private Methods
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* The following properties and methods are intended for internal use only.
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*
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* This is a minimal implementation of JavaScript inheritance methods so that
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* Proj4js can be used as a stand-alone library.
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* These are copies of the equivalent OpenLayers methods at v2.7
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*/
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/**
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* Function: extend
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* Copy all properties of a source object to a destination object. Modifies
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* the passed in destination object. Any properties on the source object
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* that are set to undefined will not be (re)set on the destination object.
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*
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* Parameters:
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* destination - {Object} The object that will be modified
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* source - {Object} The object with properties to be set on the destination
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*
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* Returns:
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* {Object} The destination object.
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*/
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extend: function(destination, source) {
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destination = destination || {};
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if(source) {
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for(var property in source) {
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var value = source[property];
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if(value !== undefined) {
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destination[property] = value;
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}
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}
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}
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return destination;
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},
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/**
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* Constructor: Class
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* Base class used to construct all other classes. Includes support for
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* multiple inheritance.
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*
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*/
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Class: function() {
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var Class = function() {
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this.initialize.apply(this, arguments);
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};
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var extended = {};
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var parent;
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for(var i=0; i<arguments.length; ++i) {
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if(typeof arguments[i] == "function") {
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// get the prototype of the superclass
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parent = arguments[i].prototype;
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} else {
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// in this case we're extending with the prototype
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parent = arguments[i];
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}
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Proj4js.extend(extended, parent);
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}
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Class.prototype = extended;
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return Class;
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},
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/**
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* Function: bind
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* Bind a function to an object. Method to easily create closures with
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* 'this' altered.
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*
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* Parameters:
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* func - {Function} Input function.
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* object - {Object} The object to bind to the input function (as this).
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*
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* Returns:
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* {Function} A closure with 'this' set to the passed in object.
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*/
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bind: function(func, object) {
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// create a reference to all arguments past the second one
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var args = Array.prototype.slice.apply(arguments, [2]);
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return function() {
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// Push on any additional arguments from the actual function call.
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// These will come after those sent to the bind call.
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var newArgs = args.concat(
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Array.prototype.slice.apply(arguments, [0])
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);
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return func.apply(object, newArgs);
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};
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},
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/**
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* The following properties and methods handle dynamic loading of JSON objects.
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*/
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/**
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* Property: scriptName
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* {String} The filename of this script without any path.
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*/
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scriptName: "proj4js-combined.js",
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/**
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* Property: defsLookupService
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* AJAX service to retreive projection definition parameters from
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*/
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defsLookupService: 'http://spatialreference.org/ref',
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/**
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* Property: libPath
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||
* internal: http server path to library code.
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||
*/
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libPath: null,
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||
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/**
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||
* Function: getScriptLocation
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* Return the path to this script.
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||
*
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||
* Returns:
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* Path to this script
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||
*/
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getScriptLocation: function () {
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if (this.libPath) return this.libPath;
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var scriptName = this.scriptName;
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var scriptNameLen = scriptName.length;
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||
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||
var scripts = document.getElementsByTagName('script');
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||
for (var i = 0; i < scripts.length; i++) {
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var src = scripts[i].getAttribute('src');
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if (src) {
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var index = src.lastIndexOf(scriptName);
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// is it found, at the end of the URL?
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if ((index > -1) && (index + scriptNameLen == src.length)) {
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this.libPath = src.slice(0, -scriptNameLen);
|
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break;
|
||
}
|
||
}
|
||
}
|
||
return this.libPath||"";
|
||
},
|
||
|
||
/**
|
||
* Function: loadScript
|
||
* Load a JS file from a URL into a <script> tag in the page.
|
||
*
|
||
* Parameters:
|
||
* url - {String} The URL containing the script to load
|
||
* onload - {Function} A method to be executed when the script loads successfully
|
||
* onfail - {Function} A method to be executed when there is an error loading the script
|
||
* loadCheck - {Function} A boolean method that checks to see if the script
|
||
* has loaded. Typically this just checks for the existance of
|
||
* an object in the file just loaded.
|
||
*/
|
||
loadScript: function(url, onload, onfail, loadCheck) {
|
||
var script = document.createElement('script');
|
||
script.defer = false;
|
||
script.type = "text/javascript";
|
||
script.id = url;
|
||
script.src = url;
|
||
script.onload = onload;
|
||
script.onerror = onfail;
|
||
script.loadCheck = loadCheck;
|
||
if (/MSIE/.test(navigator.userAgent)) {
|
||
script.onreadystatechange = this.checkReadyState;
|
||
}
|
||
document.getElementsByTagName('head')[0].appendChild(script);
|
||
},
|
||
|
||
/**
|
||
* Function: checkReadyState
|
||
* IE workaround since there is no onerror handler. Calls the user defined
|
||
* loadCheck method to determine if the script is loaded.
|
||
*
|
||
*/
|
||
checkReadyState: function() {
|
||
if (this.readyState == 'loaded') {
|
||
if (!this.loadCheck()) {
|
||
this.onerror();
|
||
} else {
|
||
this.onload();
|
||
}
|
||
}
|
||
}
|
||
};
|
||
|
||
/**
|
||
* Class: Proj4js.Proj
|
||
*
|
||
* Proj objects provide transformation methods for point coordinates
|
||
* between geodetic latitude/longitude and a projected coordinate system.
|
||
* once they have been initialized with a projection code.
|
||
*
|
||
* Initialization of Proj objects is with a projection code, usually EPSG codes,
|
||
* which is the key that will be used with the Proj4js.defs array.
|
||
*
|
||
* The code passed in will be stripped of colons and converted to uppercase
|
||
* to locate projection definition files.
|
||
*
|
||
* A projection object has properties for units and title strings.
|
||
*/
|
||
Proj4js.Proj = Proj4js.Class({
|
||
|
||
/**
|
||
* Property: readyToUse
|
||
* Flag to indicate if initialization is complete for this Proj object
|
||
*/
|
||
readyToUse: false,
|
||
|
||
/**
|
||
* Property: title
|
||
* The title to describe the projection
|
||
*/
|
||
title: null,
|
||
|
||
/**
|
||
* Property: projName
|
||
* The projection class for this projection, e.g. lcc (lambert conformal conic,
|
||
* or merc for mercator). These are exactly equivalent to their Proj4
|
||
* counterparts.
|
||
*/
|
||
projName: null,
|
||
/**
|
||
* Property: units
|
||
* The units of the projection. Values include 'm' and 'degrees'
|
||
*/
|
||
units: null,
|
||
/**
|
||
* Property: datum
|
||
* The datum specified for the projection
|
||
*/
|
||
datum: null,
|
||
/**
|
||
* Property: x0
|
||
* The x coordinate origin
|
||
*/
|
||
x0: 0,
|
||
/**
|
||
* Property: y0
|
||
* The y coordinate origin
|
||
*/
|
||
y0: 0,
|
||
/**
|
||
* Property: localCS
|
||
* Flag to indicate if the projection is a local one in which no transforms
|
||
* are required.
|
||
*/
|
||
localCS: false,
|
||
|
||
/**
|
||
* Property: queue
|
||
* Buffer (FIFO) to hold callbacks waiting to be called when projection loaded.
|
||
*/
|
||
queue: null,
|
||
|
||
/**
|
||
* Constructor: initialize
|
||
* Constructor for Proj4js.Proj objects
|
||
*
|
||
* Parameters:
|
||
* srsCode - a code for map projection definition parameters. These are usually
|
||
* (but not always) EPSG codes.
|
||
*/
|
||
initialize: function(srsCode, callback) {
|
||
this.srsCodeInput = srsCode;
|
||
|
||
//Register callbacks prior to attempting to process definition
|
||
this.queue = [];
|
||
if( callback ){
|
||
this.queue.push( callback );
|
||
}
|
||
|
||
//check to see if this is a WKT string
|
||
if ((srsCode.indexOf('GEOGCS') >= 0) ||
|
||
(srsCode.indexOf('GEOCCS') >= 0) ||
|
||
(srsCode.indexOf('PROJCS') >= 0) ||
|
||
(srsCode.indexOf('LOCAL_CS') >= 0)) {
|
||
this.parseWKT(srsCode);
|
||
this.deriveConstants();
|
||
this.loadProjCode(this.projName);
|
||
return;
|
||
}
|
||
|
||
// DGR 2008-08-03 : support urn and url
|
||
if (srsCode.indexOf('urn:') == 0) {
|
||
//urn:ORIGINATOR:def:crs:CODESPACE:VERSION:ID
|
||
var urn = srsCode.split(':');
|
||
if ((urn[1] == 'ogc' || urn[1] =='x-ogc') &&
|
||
(urn[2] =='def') &&
|
||
(urn[3] =='crs')) {
|
||
srsCode = urn[4]+':'+urn[urn.length-1];
|
||
}
|
||
} else if (srsCode.indexOf('http://') == 0) {
|
||
//url#ID
|
||
var url = srsCode.split('#');
|
||
if (url[0].match(/epsg.org/)) {
|
||
// http://www.epsg.org/#
|
||
srsCode = 'EPSG:'+url[1];
|
||
} else if (url[0].match(/RIG.xml/)) {
|
||
//http://librairies.ign.fr/geoportail/resources/RIG.xml#
|
||
//http://interop.ign.fr/registers/ign/RIG.xml#
|
||
srsCode = 'IGNF:'+url[1];
|
||
}
|
||
}
|
||
this.srsCode = srsCode.toUpperCase();
|
||
if (this.srsCode.indexOf("EPSG") == 0) {
|
||
this.srsCode = this.srsCode;
|
||
this.srsAuth = 'epsg';
|
||
this.srsProjNumber = this.srsCode.substring(5);
|
||
// DGR 2007-11-20 : authority IGNF
|
||
} else if (this.srsCode.indexOf("IGNF") == 0) {
|
||
this.srsCode = this.srsCode;
|
||
this.srsAuth = 'IGNF';
|
||
this.srsProjNumber = this.srsCode.substring(5);
|
||
// DGR 2008-06-19 : pseudo-authority CRS for WMS
|
||
} else if (this.srsCode.indexOf("CRS") == 0) {
|
||
this.srsCode = this.srsCode;
|
||
this.srsAuth = 'CRS';
|
||
this.srsProjNumber = this.srsCode.substring(4);
|
||
} else {
|
||
this.srsAuth = '';
|
||
this.srsProjNumber = this.srsCode;
|
||
}
|
||
|
||
this.loadProjDefinition();
|
||
},
|
||
|
||
/**
|
||
* Function: loadProjDefinition
|
||
* Loads the coordinate system initialization string if required.
|
||
* Note that dynamic loading happens asynchronously so an application must
|
||
* wait for the readyToUse property is set to true.
|
||
* To prevent dynamic loading, include the defs through a script tag in
|
||
* your application.
|
||
*
|
||
*/
|
||
loadProjDefinition: function() {
|
||
//check in memory
|
||
if (Proj4js.defs[this.srsCode]) {
|
||
this.defsLoaded();
|
||
return;
|
||
}
|
||
|
||
//else check for def on the server
|
||
var url = Proj4js.getScriptLocation() + 'defs/' + this.srsAuth.toUpperCase() + this.srsProjNumber + '.js';
|
||
Proj4js.loadScript(url,
|
||
Proj4js.bind(this.defsLoaded, this),
|
||
Proj4js.bind(this.loadFromService, this),
|
||
Proj4js.bind(this.checkDefsLoaded, this) );
|
||
},
|
||
|
||
/**
|
||
* Function: loadFromService
|
||
* Creates the REST URL for loading the definition from a web service and
|
||
* loads it.
|
||
*
|
||
*/
|
||
loadFromService: function() {
|
||
//else load from web service
|
||
var url = Proj4js.defsLookupService +'/' + this.srsAuth +'/'+ this.srsProjNumber + '/proj4js/';
|
||
Proj4js.loadScript(url,
|
||
Proj4js.bind(this.defsLoaded, this),
|
||
Proj4js.bind(this.defsFailed, this),
|
||
Proj4js.bind(this.checkDefsLoaded, this) );
|
||
},
|
||
|
||
/**
|
||
* Function: defsLoaded
|
||
* Continues the Proj object initilization once the def file is loaded
|
||
*
|
||
*/
|
||
defsLoaded: function() {
|
||
this.parseDefs();
|
||
this.loadProjCode(this.projName);
|
||
},
|
||
|
||
/**
|
||
* Function: checkDefsLoaded
|
||
* This is the loadCheck method to see if the def object exists
|
||
*
|
||
*/
|
||
checkDefsLoaded: function() {
|
||
if (Proj4js.defs[this.srsCode]) {
|
||
return true;
|
||
} else {
|
||
return false;
|
||
}
|
||
},
|
||
|
||
/**
|
||
* Function: defsFailed
|
||
* Report an error in loading the defs file, but continue on using WGS84
|
||
*
|
||
*/
|
||
defsFailed: function() {
|
||
Proj4js.reportError('failed to load projection definition for: '+this.srsCode);
|
||
Proj4js.defs[this.srsCode] = Proj4js.defs['WGS84']; //set it to something so it can at least continue
|
||
this.defsLoaded();
|
||
},
|
||
|
||
/**
|
||
* Function: loadProjCode
|
||
* Loads projection class code dynamically if required.
|
||
* Projection code may be included either through a script tag or in
|
||
* a built version of proj4js
|
||
*
|
||
*/
|
||
loadProjCode: function(projName) {
|
||
if (Proj4js.Proj[projName]) {
|
||
this.initTransforms();
|
||
return;
|
||
}
|
||
|
||
//the URL for the projection code
|
||
var url = Proj4js.getScriptLocation() + 'projCode/' + projName + '.js';
|
||
Proj4js.loadScript(url,
|
||
Proj4js.bind(this.loadProjCodeSuccess, this, projName),
|
||
Proj4js.bind(this.loadProjCodeFailure, this, projName),
|
||
Proj4js.bind(this.checkCodeLoaded, this, projName) );
|
||
},
|
||
|
||
/**
|
||
* Function: loadProjCodeSuccess
|
||
* Loads any proj dependencies or continue on to final initialization.
|
||
*
|
||
*/
|
||
loadProjCodeSuccess: function(projName) {
|
||
if (Proj4js.Proj[projName].dependsOn){
|
||
this.loadProjCode(Proj4js.Proj[projName].dependsOn);
|
||
} else {
|
||
this.initTransforms();
|
||
}
|
||
},
|
||
|
||
/**
|
||
* Function: defsFailed
|
||
* Report an error in loading the proj file. Initialization of the Proj
|
||
* object has failed and the readyToUse flag will never be set.
|
||
*
|
||
*/
|
||
loadProjCodeFailure: function(projName) {
|
||
Proj4js.reportError("failed to find projection file for: " + projName);
|
||
//TBD initialize with identity transforms so proj will still work?
|
||
},
|
||
|
||
/**
|
||
* Function: checkCodeLoaded
|
||
* This is the loadCheck method to see if the projection code is loaded
|
||
*
|
||
*/
|
||
checkCodeLoaded: function(projName) {
|
||
if (Proj4js.Proj[projName]) {
|
||
return true;
|
||
} else {
|
||
return false;
|
||
}
|
||
},
|
||
|
||
/**
|
||
* Function: initTransforms
|
||
* Finalize the initialization of the Proj object
|
||
*
|
||
*/
|
||
initTransforms: function() {
|
||
Proj4js.extend(this, Proj4js.Proj[this.projName]);
|
||
this.init();
|
||
this.readyToUse = true;
|
||
if( this.queue ) {
|
||
var item;
|
||
while( (item = this.queue.shift()) ) {
|
||
item.call( this, this );
|
||
}
|
||
}
|
||
},
|
||
|
||
/**
|
||
* Function: parseWKT
|
||
* Parses a WKT string to get initialization parameters
|
||
*
|
||
*/
|
||
wktRE: /^(\w+)\[(.*)\]$/,
|
||
parseWKT: function(wkt) {
|
||
var wktMatch = wkt.match(this.wktRE);
|
||
if (!wktMatch) return;
|
||
var wktObject = wktMatch[1];
|
||
var wktContent = wktMatch[2];
|
||
var wktTemp = wktContent.split(",");
|
||
var wktName;
|
||
if (wktObject.toUpperCase() == "TOWGS84") {
|
||
wktName = wktObject; //no name supplied for the TOWGS84 array
|
||
} else {
|
||
wktName = wktTemp.shift();
|
||
}
|
||
wktName = wktName.replace(/^\"/,"");
|
||
wktName = wktName.replace(/\"$/,"");
|
||
|
||
/*
|
||
wktContent = wktTemp.join(",");
|
||
var wktArray = wktContent.split("],");
|
||
for (var i=0; i<wktArray.length-1; ++i) {
|
||
wktArray[i] += "]";
|
||
}
|
||
*/
|
||
|
||
var wktArray = new Array();
|
||
var bkCount = 0;
|
||
var obj = "";
|
||
for (var i=0; i<wktTemp.length; ++i) {
|
||
var token = wktTemp[i];
|
||
for (var j=0; j<token.length; ++j) {
|
||
if (token.charAt(j) == "[") ++bkCount;
|
||
if (token.charAt(j) == "]") --bkCount;
|
||
}
|
||
obj += token;
|
||
if (bkCount === 0) {
|
||
wktArray.push(obj);
|
||
obj = "";
|
||
} else {
|
||
obj += ",";
|
||
}
|
||
}
|
||
|
||
//do something based on the type of the wktObject being parsed
|
||
//add in variations in the spelling as required
|
||
switch (wktObject) {
|
||
case 'LOCAL_CS':
|
||
this.projName = 'identity'
|
||
this.localCS = true;
|
||
this.srsCode = wktName;
|
||
break;
|
||
case 'GEOGCS':
|
||
this.projName = 'longlat'
|
||
this.geocsCode = wktName;
|
||
if (!this.srsCode) this.srsCode = wktName;
|
||
break;
|
||
case 'PROJCS':
|
||
this.srsCode = wktName;
|
||
break;
|
||
case 'GEOCCS':
|
||
break;
|
||
case 'PROJECTION':
|
||
this.projName = Proj4js.wktProjections[wktName]
|
||
break;
|
||
case 'DATUM':
|
||
this.datumName = wktName;
|
||
break;
|
||
case 'LOCAL_DATUM':
|
||
this.datumCode = 'none';
|
||
break;
|
||
case 'SPHEROID':
|
||
this.ellps = wktName;
|
||
this.a = parseFloat(wktArray.shift());
|
||
this.rf = parseFloat(wktArray.shift());
|
||
break;
|
||
case 'PRIMEM':
|
||
this.from_greenwich = parseFloat(wktArray.shift()); //to radians?
|
||
break;
|
||
case 'UNIT':
|
||
this.units = wktName;
|
||
this.unitsPerMeter = parseFloat(wktArray.shift());
|
||
break;
|
||
case 'PARAMETER':
|
||
var name = wktName.toLowerCase();
|
||
var value = parseFloat(wktArray.shift());
|
||
//there may be many variations on the wktName values, add in case
|
||
//statements as required
|
||
switch (name) {
|
||
case 'false_easting':
|
||
this.x0 = value;
|
||
break;
|
||
case 'false_northing':
|
||
this.y0 = value;
|
||
break;
|
||
case 'scale_factor':
|
||
this.k0 = value;
|
||
break;
|
||
case 'central_meridian':
|
||
this.long0 = value*Proj4js.common.D2R;
|
||
break;
|
||
case 'latitude_of_origin':
|
||
this.lat0 = value*Proj4js.common.D2R;
|
||
break;
|
||
case 'more_here':
|
||
break;
|
||
default:
|
||
break;
|
||
}
|
||
break;
|
||
case 'TOWGS84':
|
||
this.datum_params = wktArray;
|
||
break;
|
||
//DGR 2010-11-12: AXIS
|
||
case 'AXIS':
|
||
var name= wktName.toLowerCase();
|
||
var value= wktArray.shift();
|
||
switch (value) {
|
||
case 'EAST' : value= 'e'; break;
|
||
case 'WEST' : value= 'w'; break;
|
||
case 'NORTH': value= 'n'; break;
|
||
case 'SOUTH': value= 's'; break;
|
||
case 'UP' : value= 'u'; break;
|
||
case 'DOWN' : value= 'd'; break;
|
||
case 'OTHER':
|
||
default : value= ' '; break;//FIXME
|
||
}
|
||
if (!this.axis) { this.axis= "enu"; }
|
||
switch(name) {
|
||
case 'x': this.axis= value + this.axis.substr(1,2); break;
|
||
case 'y': this.axis= this.axis.substr(0,1) + value + this.axis.substr(2,1); break;
|
||
case 'z': this.axis= this.axis.substr(0,2) + value ; break;
|
||
default : break;
|
||
}
|
||
case 'MORE_HERE':
|
||
break;
|
||
default:
|
||
break;
|
||
}
|
||
for (var i=0; i<wktArray.length; ++i) {
|
||
this.parseWKT(wktArray[i]);
|
||
}
|
||
},
|
||
|
||
/**
|
||
* Function: parseDefs
|
||
* Parses the PROJ.4 initialization string and sets the associated properties.
|
||
*
|
||
*/
|
||
parseDefs: function() {
|
||
this.defData = Proj4js.defs[this.srsCode];
|
||
var paramName, paramVal;
|
||
if (!this.defData) {
|
||
return;
|
||
}
|
||
var paramArray=this.defData.split("+");
|
||
|
||
for (var prop=0; prop<paramArray.length; prop++) {
|
||
var property = paramArray[prop].split("=");
|
||
paramName = property[0].toLowerCase();
|
||
paramVal = property[1];
|
||
|
||
switch (paramName.replace(/\s/gi,"")) { // trim out spaces
|
||
case "": break; // throw away nameless parameter
|
||
case "title": this.title = paramVal; break;
|
||
case "proj": this.projName = paramVal.replace(/\s/gi,""); break;
|
||
case "units": this.units = paramVal.replace(/\s/gi,""); break;
|
||
case "datum": this.datumCode = paramVal.replace(/\s/gi,""); break;
|
||
case "nadgrids": this.nagrids = paramVal.replace(/\s/gi,""); break;
|
||
case "ellps": this.ellps = paramVal.replace(/\s/gi,""); break;
|
||
case "a": this.a = parseFloat(paramVal); break; // semi-major radius
|
||
case "b": this.b = parseFloat(paramVal); break; // semi-minor radius
|
||
// DGR 2007-11-20
|
||
case "rf": this.rf = parseFloat(paramVal); break; // inverse flattening rf= a/(a-b)
|
||
case "lat_0": this.lat0 = paramVal*Proj4js.common.D2R; break; // phi0, central latitude
|
||
case "lat_1": this.lat1 = paramVal*Proj4js.common.D2R; break; //standard parallel 1
|
||
case "lat_2": this.lat2 = paramVal*Proj4js.common.D2R; break; //standard parallel 2
|
||
case "lat_ts": this.lat_ts = paramVal*Proj4js.common.D2R; break; // used in merc and eqc
|
||
case "lon_0": this.long0 = paramVal*Proj4js.common.D2R; break; // lam0, central longitude
|
||
case "alpha": this.alpha = parseFloat(paramVal)*Proj4js.common.D2R; break; //for somerc projection
|
||
case "lonc": this.longc = paramVal*Proj4js.common.D2R; break; //for somerc projection
|
||
case "x_0": this.x0 = parseFloat(paramVal); break; // false easting
|
||
case "y_0": this.y0 = parseFloat(paramVal); break; // false northing
|
||
case "k_0": this.k0 = parseFloat(paramVal); break; // projection scale factor
|
||
case "k": this.k0 = parseFloat(paramVal); break; // both forms returned
|
||
case "r_a": this.R_A = true; break; // sphere--area of ellipsoid
|
||
case "zone": this.zone = parseInt(paramVal,10); break; // UTM Zone
|
||
case "south": this.utmSouth = true; break; // UTM north/south
|
||
case "towgs84":this.datum_params = paramVal.split(","); break;
|
||
case "to_meter": this.to_meter = parseFloat(paramVal); break; // cartesian scaling
|
||
case "from_greenwich": this.from_greenwich = paramVal*Proj4js.common.D2R; break;
|
||
// DGR 2008-07-09 : if pm is not a well-known prime meridian take
|
||
// the value instead of 0.0, then convert to radians
|
||
case "pm": paramVal = paramVal.replace(/\s/gi,"");
|
||
this.from_greenwich = Proj4js.PrimeMeridian[paramVal] ?
|
||
Proj4js.PrimeMeridian[paramVal] : parseFloat(paramVal);
|
||
this.from_greenwich *= Proj4js.common.D2R;
|
||
break;
|
||
// DGR 2010-11-12: axis
|
||
case "axis": paramVal = paramVal.replace(/\s/gi,"");
|
||
var legalAxis= "ewnsud";
|
||
if (paramVal.length==3 &&
|
||
legalAxis.indexOf(paramVal.substr(0,1))!=-1 &&
|
||
legalAxis.indexOf(paramVal.substr(1,1))!=-1 &&
|
||
legalAxis.indexOf(paramVal.substr(2,1))!=-1) {
|
||
this.axis= paramVal;
|
||
} //FIXME: be silent ?
|
||
break
|
||
case "no_defs": break;
|
||
default: //alert("Unrecognized parameter: " + paramName);
|
||
} // switch()
|
||
} // for paramArray
|
||
this.deriveConstants();
|
||
},
|
||
|
||
/**
|
||
* Function: deriveConstants
|
||
* Sets several derived constant values and initialization of datum and ellipse
|
||
* parameters.
|
||
*
|
||
*/
|
||
deriveConstants: function() {
|
||
if (this.nagrids == '@null') this.datumCode = 'none';
|
||
if (this.datumCode && this.datumCode != 'none') {
|
||
var datumDef = Proj4js.Datum[this.datumCode];
|
||
if (datumDef) {
|
||
this.datum_params = datumDef.towgs84 ? datumDef.towgs84.split(',') : null;
|
||
this.ellps = datumDef.ellipse;
|
||
this.datumName = datumDef.datumName ? datumDef.datumName : this.datumCode;
|
||
}
|
||
}
|
||
if (!this.a) { // do we have an ellipsoid?
|
||
var ellipse = Proj4js.Ellipsoid[this.ellps] ? Proj4js.Ellipsoid[this.ellps] : Proj4js.Ellipsoid['WGS84'];
|
||
Proj4js.extend(this, ellipse);
|
||
}
|
||
if (this.rf && !this.b) this.b = (1.0 - 1.0/this.rf) * this.a;
|
||
if (this.rf === 0 || Math.abs(this.a - this.b)<Proj4js.common.EPSLN) {
|
||
this.sphere = true;
|
||
this.b= this.a;
|
||
}
|
||
this.a2 = this.a * this.a; // used in geocentric
|
||
this.b2 = this.b * this.b; // used in geocentric
|
||
this.es = (this.a2-this.b2)/this.a2; // e ^ 2
|
||
this.e = Math.sqrt(this.es); // eccentricity
|
||
if (this.R_A) {
|
||
this.a *= 1. - this.es * (Proj4js.common.SIXTH + this.es * (Proj4js.common.RA4 + this.es * Proj4js.common.RA6));
|
||
this.a2 = this.a * this.a;
|
||
this.b2 = this.b * this.b;
|
||
this.es = 0.;
|
||
}
|
||
this.ep2=(this.a2-this.b2)/this.b2; // used in geocentric
|
||
if (!this.k0) this.k0 = 1.0; //default value
|
||
//DGR 2010-11-12: axis
|
||
if (!this.axis) { this.axis= "enu"; }
|
||
|
||
this.datum = new Proj4js.datum(this);
|
||
}
|
||
});
|
||
|
||
Proj4js.Proj.longlat = {
|
||
init: function() {
|
||
//no-op for longlat
|
||
},
|
||
forward: function(pt) {
|
||
//identity transform
|
||
return pt;
|
||
},
|
||
inverse: function(pt) {
|
||
//identity transform
|
||
return pt;
|
||
}
|
||
};
|
||
Proj4js.Proj.identity = Proj4js.Proj.longlat;
|
||
|
||
/**
|
||
Proj4js.defs is a collection of coordinate system definition objects in the
|
||
PROJ.4 command line format.
|
||
Generally a def is added by means of a separate .js file for example:
|
||
|
||
<SCRIPT type="text/javascript" src="defs/EPSG26912.js"></SCRIPT>
|
||
|
||
def is a CS definition in PROJ.4 WKT format, for example:
|
||
+proj="tmerc" //longlat, etc.
|
||
+a=majorRadius
|
||
+b=minorRadius
|
||
+lat0=somenumber
|
||
+long=somenumber
|
||
*/
|
||
Proj4js.defs = {
|
||
// These are so widely used, we'll go ahead and throw them in
|
||
// without requiring a separate .js file
|
||
'WGS84': "+title=long/lat:WGS84 +proj=longlat +ellps=WGS84 +datum=WGS84 +units=degrees",
|
||
'EPSG:4326': "+title=long/lat:WGS84 +proj=longlat +a=6378137.0 +b=6356752.31424518 +ellps=WGS84 +datum=WGS84 +units=degrees",
|
||
'EPSG:4269': "+title=long/lat:NAD83 +proj=longlat +a=6378137.0 +b=6356752.31414036 +ellps=GRS80 +datum=NAD83 +units=degrees",
|
||
'EPSG:3875': "+title= Google Mercator +proj=merc +a=6378137 +b=6378137 +lat_ts=0.0 +lon_0=0.0 +x_0=0.0 +y_0=0 +k=1.0 +units=m +nadgrids=@null +no_defs"
|
||
};
|
||
Proj4js.defs['EPSG:3785'] = Proj4js.defs['EPSG:3875']; //maintain backward compat, official code is 3875
|
||
Proj4js.defs['GOOGLE'] = Proj4js.defs['EPSG:3875'];
|
||
Proj4js.defs['EPSG:900913'] = Proj4js.defs['EPSG:3875'];
|
||
Proj4js.defs['EPSG:102113'] = Proj4js.defs['EPSG:3875'];
|
||
|
||
Proj4js.common = {
|
||
PI : 3.141592653589793238, //Math.PI,
|
||
HALF_PI : 1.570796326794896619, //Math.PI*0.5,
|
||
TWO_PI : 6.283185307179586477, //Math.PI*2,
|
||
FORTPI : 0.78539816339744833,
|
||
R2D : 57.29577951308232088,
|
||
D2R : 0.01745329251994329577,
|
||
SEC_TO_RAD : 4.84813681109535993589914102357e-6, /* SEC_TO_RAD = Pi/180/3600 */
|
||
EPSLN : 1.0e-10,
|
||
MAX_ITER : 20,
|
||
// following constants from geocent.c
|
||
COS_67P5 : 0.38268343236508977, /* cosine of 67.5 degrees */
|
||
AD_C : 1.0026000, /* Toms region 1 constant */
|
||
|
||
/* datum_type values */
|
||
PJD_UNKNOWN : 0,
|
||
PJD_3PARAM : 1,
|
||
PJD_7PARAM : 2,
|
||
PJD_GRIDSHIFT: 3,
|
||
PJD_WGS84 : 4, // WGS84 or equivalent
|
||
PJD_NODATUM : 5, // WGS84 or equivalent
|
||
SRS_WGS84_SEMIMAJOR : 6378137.0, // only used in grid shift transforms
|
||
|
||
// ellipoid pj_set_ell.c
|
||
SIXTH : .1666666666666666667, /* 1/6 */
|
||
RA4 : .04722222222222222222, /* 17/360 */
|
||
RA6 : .02215608465608465608, /* 67/3024 */
|
||
RV4 : .06944444444444444444, /* 5/72 */
|
||
RV6 : .04243827160493827160, /* 55/1296 */
|
||
|
||
// Function to compute the constant small m which is the radius of
|
||
// a parallel of latitude, phi, divided by the semimajor axis.
|
||
// -----------------------------------------------------------------
|
||
msfnz : function(eccent, sinphi, cosphi) {
|
||
var con = eccent * sinphi;
|
||
return cosphi/(Math.sqrt(1.0 - con * con));
|
||
},
|
||
|
||
// Function to compute the constant small t for use in the forward
|
||
// computations in the Lambert Conformal Conic and the Polar
|
||
// Stereographic projections.
|
||
// -----------------------------------------------------------------
|
||
tsfnz : function(eccent, phi, sinphi) {
|
||
var con = eccent * sinphi;
|
||
var com = .5 * eccent;
|
||
con = Math.pow(((1.0 - con) / (1.0 + con)), com);
|
||
return (Math.tan(.5 * (this.HALF_PI - phi))/con);
|
||
},
|
||
|
||
// Function to compute the latitude angle, phi2, for the inverse of the
|
||
// Lambert Conformal Conic and Polar Stereographic projections.
|
||
// ----------------------------------------------------------------
|
||
phi2z : function(eccent, ts) {
|
||
var eccnth = .5 * eccent;
|
||
var con, dphi;
|
||
var phi = this.HALF_PI - 2 * Math.atan(ts);
|
||
for (var i = 0; i <= 15; i++) {
|
||
con = eccent * Math.sin(phi);
|
||
dphi = this.HALF_PI - 2 * Math.atan(ts *(Math.pow(((1.0 - con)/(1.0 + con)),eccnth))) - phi;
|
||
phi += dphi;
|
||
if (Math.abs(dphi) <= .0000000001) return phi;
|
||
}
|
||
alert("phi2z has NoConvergence");
|
||
return (-9999);
|
||
},
|
||
|
||
/* Function to compute constant small q which is the radius of a
|
||
parallel of latitude, phi, divided by the semimajor axis.
|
||
------------------------------------------------------------*/
|
||
qsfnz : function(eccent,sinphi) {
|
||
var con;
|
||
if (eccent > 1.0e-7) {
|
||
con = eccent * sinphi;
|
||
return (( 1.0- eccent * eccent) * (sinphi /(1.0 - con * con) - (.5/eccent)*Math.log((1.0 - con)/(1.0 + con))));
|
||
} else {
|
||
return(2.0 * sinphi);
|
||
}
|
||
},
|
||
|
||
/* Function to eliminate roundoff errors in asin
|
||
----------------------------------------------*/
|
||
asinz : function(x) {
|
||
if (Math.abs(x)>1.0) {
|
||
x=(x>1.0)?1.0:-1.0;
|
||
}
|
||
return Math.asin(x);
|
||
},
|
||
|
||
// following functions from gctpc cproj.c for transverse mercator projections
|
||
e0fn : function(x) {return(1.0-0.25*x*(1.0+x/16.0*(3.0+1.25*x)));},
|
||
e1fn : function(x) {return(0.375*x*(1.0+0.25*x*(1.0+0.46875*x)));},
|
||
e2fn : function(x) {return(0.05859375*x*x*(1.0+0.75*x));},
|
||
e3fn : function(x) {return(x*x*x*(35.0/3072.0));},
|
||
mlfn : function(e0,e1,e2,e3,phi) {return(e0*phi-e1*Math.sin(2.0*phi)+e2*Math.sin(4.0*phi)-e3*Math.sin(6.0*phi));},
|
||
|
||
srat : function(esinp, exp) {
|
||
return(Math.pow((1.0-esinp)/(1.0+esinp), exp));
|
||
},
|
||
|
||
// Function to return the sign of an argument
|
||
sign : function(x) { if (x < 0.0) return(-1); else return(1);},
|
||
|
||
// Function to adjust longitude to -180 to 180; input in radians
|
||
adjust_lon : function(x) {
|
||
x = (Math.abs(x) < this.PI) ? x: (x - (this.sign(x)*this.TWO_PI) );
|
||
return x;
|
||
},
|
||
|
||
// IGNF - DGR : algorithms used by IGN France
|
||
|
||
// Function to adjust latitude to -90 to 90; input in radians
|
||
adjust_lat : function(x) {
|
||
x= (Math.abs(x) < this.HALF_PI) ? x: (x - (this.sign(x)*this.PI) );
|
||
return x;
|
||
},
|
||
|
||
// Latitude Isometrique - close to tsfnz ...
|
||
latiso : function(eccent, phi, sinphi) {
|
||
if (Math.abs(phi) > this.HALF_PI) return +Number.NaN;
|
||
if (phi==this.HALF_PI) return Number.POSITIVE_INFINITY;
|
||
if (phi==-1.0*this.HALF_PI) return -1.0*Number.POSITIVE_INFINITY;
|
||
|
||
var con= eccent*sinphi;
|
||
return Math.log(Math.tan((this.HALF_PI+phi)/2.0))+eccent*Math.log((1.0-con)/(1.0+con))/2.0;
|
||
},
|
||
|
||
fL : function(x,L) {
|
||
return 2.0*Math.atan(x*Math.exp(L)) - this.HALF_PI;
|
||
},
|
||
|
||
// Inverse Latitude Isometrique - close to ph2z
|
||
invlatiso : function(eccent, ts) {
|
||
var phi= this.fL(1.0,ts);
|
||
var Iphi= 0.0;
|
||
var con= 0.0;
|
||
do {
|
||
Iphi= phi;
|
||
con= eccent*Math.sin(Iphi);
|
||
phi= this.fL(Math.exp(eccent*Math.log((1.0+con)/(1.0-con))/2.0),ts)
|
||
} while (Math.abs(phi-Iphi)>1.0e-12);
|
||
return phi;
|
||
},
|
||
|
||
// Needed for Gauss Schreiber
|
||
// Original: Denis Makarov (info@binarythings.com)
|
||
// Web Site: http://www.binarythings.com
|
||
sinh : function(x)
|
||
{
|
||
var r= Math.exp(x);
|
||
r= (r-1.0/r)/2.0;
|
||
return r;
|
||
},
|
||
|
||
cosh : function(x)
|
||
{
|
||
var r= Math.exp(x);
|
||
r= (r+1.0/r)/2.0;
|
||
return r;
|
||
},
|
||
|
||
tanh : function(x)
|
||
{
|
||
var r= Math.exp(x);
|
||
r= (r-1.0/r)/(r+1.0/r);
|
||
return r;
|
||
},
|
||
|
||
asinh : function(x)
|
||
{
|
||
var s= (x>= 0? 1.0:-1.0);
|
||
return s*(Math.log( Math.abs(x) + Math.sqrt(x*x+1.0) ));
|
||
},
|
||
|
||
acosh : function(x)
|
||
{
|
||
return 2.0*Math.log(Math.sqrt((x+1.0)/2.0) + Math.sqrt((x-1.0)/2.0));
|
||
},
|
||
|
||
atanh : function(x)
|
||
{
|
||
return Math.log((x-1.0)/(x+1.0))/2.0;
|
||
},
|
||
|
||
// Grande Normale
|
||
gN : function(a,e,sinphi)
|
||
{
|
||
var temp= e*sinphi;
|
||
return a/Math.sqrt(1.0 - temp*temp);
|
||
},
|
||
|
||
//code from the PROJ.4 pj_mlfn.c file; this may be useful for other projections
|
||
pj_enfn: function(es) {
|
||
var en = new Array();
|
||
en[0] = this.C00 - es * (this.C02 + es * (this.C04 + es * (this.C06 + es * this.C08)));
|
||
en[1] = es * (this.C22 - es * (this.C04 + es * (this.C06 + es * this.C08)));
|
||
var t = es * es;
|
||
en[2] = t * (this.C44 - es * (this.C46 + es * this.C48));
|
||
t *= es;
|
||
en[3] = t * (this.C66 - es * this.C68);
|
||
en[4] = t * es * this.C88;
|
||
return en;
|
||
},
|
||
|
||
pj_mlfn: function(phi, sphi, cphi, en) {
|
||
cphi *= sphi;
|
||
sphi *= sphi;
|
||
return(en[0] * phi - cphi * (en[1] + sphi*(en[2]+ sphi*(en[3] + sphi*en[4]))));
|
||
},
|
||
|
||
pj_inv_mlfn: function(arg, es, en) {
|
||
var k = 1./(1.-es);
|
||
var phi = arg;
|
||
for (var i = Proj4js.common.MAX_ITER; i ; --i) { /* rarely goes over 2 iterations */
|
||
var s = Math.sin(phi);
|
||
var t = 1. - es * s * s;
|
||
//t = this.pj_mlfn(phi, s, Math.cos(phi), en) - arg;
|
||
//phi -= t * (t * Math.sqrt(t)) * k;
|
||
t = (this.pj_mlfn(phi, s, Math.cos(phi), en) - arg) * (t * Math.sqrt(t)) * k;
|
||
phi -= t;
|
||
if (Math.abs(t) < Proj4js.common.EPSLN)
|
||
return phi;
|
||
}
|
||
Proj4js.reportError("cass:pj_inv_mlfn: Convergence error");
|
||
return phi;
|
||
},
|
||
|
||
/* meridinal distance for ellipsoid and inverse
|
||
** 8th degree - accurate to < 1e-5 meters when used in conjuction
|
||
** with typical major axis values.
|
||
** Inverse determines phi to EPS (1e-11) radians, about 1e-6 seconds.
|
||
*/
|
||
C00: 1.0,
|
||
C02: .25,
|
||
C04: .046875,
|
||
C06: .01953125,
|
||
C08: .01068115234375,
|
||
C22: .75,
|
||
C44: .46875,
|
||
C46: .01302083333333333333,
|
||
C48: .00712076822916666666,
|
||
C66: .36458333333333333333,
|
||
C68: .00569661458333333333,
|
||
C88: .3076171875
|
||
|
||
};
|
||
|
||
/** datum object
|
||
*/
|
||
Proj4js.datum = Proj4js.Class({
|
||
|
||
initialize : function(proj) {
|
||
this.datum_type = Proj4js.common.PJD_WGS84; //default setting
|
||
if (proj.datumCode && proj.datumCode == 'none') {
|
||
this.datum_type = Proj4js.common.PJD_NODATUM;
|
||
}
|
||
if (proj && proj.datum_params) {
|
||
for (var i=0; i<proj.datum_params.length; i++) {
|
||
proj.datum_params[i]=parseFloat(proj.datum_params[i]);
|
||
}
|
||
if (proj.datum_params[0] != 0 || proj.datum_params[1] != 0 || proj.datum_params[2] != 0 ) {
|
||
this.datum_type = Proj4js.common.PJD_3PARAM;
|
||
}
|
||
if (proj.datum_params.length > 3) {
|
||
if (proj.datum_params[3] != 0 || proj.datum_params[4] != 0 ||
|
||
proj.datum_params[5] != 0 || proj.datum_params[6] != 0 ) {
|
||
this.datum_type = Proj4js.common.PJD_7PARAM;
|
||
proj.datum_params[3] *= Proj4js.common.SEC_TO_RAD;
|
||
proj.datum_params[4] *= Proj4js.common.SEC_TO_RAD;
|
||
proj.datum_params[5] *= Proj4js.common.SEC_TO_RAD;
|
||
proj.datum_params[6] = (proj.datum_params[6]/1000000.0) + 1.0;
|
||
}
|
||
}
|
||
}
|
||
if (proj) {
|
||
this.a = proj.a; //datum object also uses these values
|
||
this.b = proj.b;
|
||
this.es = proj.es;
|
||
this.ep2 = proj.ep2;
|
||
this.datum_params = proj.datum_params;
|
||
}
|
||
},
|
||
|
||
/****************************************************************/
|
||
// cs_compare_datums()
|
||
// Returns TRUE if the two datums match, otherwise FALSE.
|
||
compare_datums : function( dest ) {
|
||
if( this.datum_type != dest.datum_type ) {
|
||
return false; // false, datums are not equal
|
||
} else if( this.a != dest.a || Math.abs(this.es-dest.es) > 0.000000000050 ) {
|
||
// the tolerence for es is to ensure that GRS80 and WGS84
|
||
// are considered identical
|
||
return false;
|
||
} else if( this.datum_type == Proj4js.common.PJD_3PARAM ) {
|
||
return (this.datum_params[0] == dest.datum_params[0]
|
||
&& this.datum_params[1] == dest.datum_params[1]
|
||
&& this.datum_params[2] == dest.datum_params[2]);
|
||
} else if( this.datum_type == Proj4js.common.PJD_7PARAM ) {
|
||
return (this.datum_params[0] == dest.datum_params[0]
|
||
&& this.datum_params[1] == dest.datum_params[1]
|
||
&& this.datum_params[2] == dest.datum_params[2]
|
||
&& this.datum_params[3] == dest.datum_params[3]
|
||
&& this.datum_params[4] == dest.datum_params[4]
|
||
&& this.datum_params[5] == dest.datum_params[5]
|
||
&& this.datum_params[6] == dest.datum_params[6]);
|
||
} else if ( this.datum_type == Proj4js.common.PJD_GRIDSHIFT ||
|
||
dest.datum_type == Proj4js.common.PJD_GRIDSHIFT ) {
|
||
alert("ERROR: Grid shift transformations are not implemented.");
|
||
return false
|
||
} else {
|
||
return true; // datums are equal
|
||
}
|
||
}, // cs_compare_datums()
|
||
|
||
/*
|
||
* The function Convert_Geodetic_To_Geocentric converts geodetic coordinates
|
||
* (latitude, longitude, and height) to geocentric coordinates (X, Y, Z),
|
||
* according to the current ellipsoid parameters.
|
||
*
|
||
* Latitude : Geodetic latitude in radians (input)
|
||
* Longitude : Geodetic longitude in radians (input)
|
||
* Height : Geodetic height, in meters (input)
|
||
* X : Calculated Geocentric X coordinate, in meters (output)
|
||
* Y : Calculated Geocentric Y coordinate, in meters (output)
|
||
* Z : Calculated Geocentric Z coordinate, in meters (output)
|
||
*
|
||
*/
|
||
geodetic_to_geocentric : function(p) {
|
||
var Longitude = p.x;
|
||
var Latitude = p.y;
|
||
var Height = p.z ? p.z : 0; //Z value not always supplied
|
||
var X; // output
|
||
var Y;
|
||
var Z;
|
||
|
||
var Error_Code=0; // GEOCENT_NO_ERROR;
|
||
var Rn; /* Earth radius at location */
|
||
var Sin_Lat; /* Math.sin(Latitude) */
|
||
var Sin2_Lat; /* Square of Math.sin(Latitude) */
|
||
var Cos_Lat; /* Math.cos(Latitude) */
|
||
|
||
/*
|
||
** Don't blow up if Latitude is just a little out of the value
|
||
** range as it may just be a rounding issue. Also removed longitude
|
||
** test, it should be wrapped by Math.cos() and Math.sin(). NFW for PROJ.4, Sep/2001.
|
||
*/
|
||
if( Latitude < -Proj4js.common.HALF_PI && Latitude > -1.001 * Proj4js.common.HALF_PI ) {
|
||
Latitude = -Proj4js.common.HALF_PI;
|
||
} else if( Latitude > Proj4js.common.HALF_PI && Latitude < 1.001 * Proj4js.common.HALF_PI ) {
|
||
Latitude = Proj4js.common.HALF_PI;
|
||
} else if ((Latitude < -Proj4js.common.HALF_PI) || (Latitude > Proj4js.common.HALF_PI)) {
|
||
/* Latitude out of range */
|
||
Proj4js.reportError('geocent:lat out of range:'+Latitude);
|
||
return null;
|
||
}
|
||
|
||
if (Longitude > Proj4js.common.PI) Longitude -= (2*Proj4js.common.PI);
|
||
Sin_Lat = Math.sin(Latitude);
|
||
Cos_Lat = Math.cos(Latitude);
|
||
Sin2_Lat = Sin_Lat * Sin_Lat;
|
||
Rn = this.a / (Math.sqrt(1.0e0 - this.es * Sin2_Lat));
|
||
X = (Rn + Height) * Cos_Lat * Math.cos(Longitude);
|
||
Y = (Rn + Height) * Cos_Lat * Math.sin(Longitude);
|
||
Z = ((Rn * (1 - this.es)) + Height) * Sin_Lat;
|
||
|
||
p.x = X;
|
||
p.y = Y;
|
||
p.z = Z;
|
||
return Error_Code;
|
||
}, // cs_geodetic_to_geocentric()
|
||
|
||
|
||
geocentric_to_geodetic : function (p) {
|
||
/* local defintions and variables */
|
||
/* end-criterium of loop, accuracy of sin(Latitude) */
|
||
var genau = 1.E-12;
|
||
var genau2 = (genau*genau);
|
||
var maxiter = 30;
|
||
|
||
var P; /* distance between semi-minor axis and location */
|
||
var RR; /* distance between center and location */
|
||
var CT; /* sin of geocentric latitude */
|
||
var ST; /* cos of geocentric latitude */
|
||
var RX;
|
||
var RK;
|
||
var RN; /* Earth radius at location */
|
||
var CPHI0; /* cos of start or old geodetic latitude in iterations */
|
||
var SPHI0; /* sin of start or old geodetic latitude in iterations */
|
||
var CPHI; /* cos of searched geodetic latitude */
|
||
var SPHI; /* sin of searched geodetic latitude */
|
||
var SDPHI; /* end-criterium: addition-theorem of sin(Latitude(iter)-Latitude(iter-1)) */
|
||
var At_Pole; /* indicates location is in polar region */
|
||
var iter; /* # of continous iteration, max. 30 is always enough (s.a.) */
|
||
|
||
var X = p.x;
|
||
var Y = p.y;
|
||
var Z = p.z ? p.z : 0.0; //Z value not always supplied
|
||
var Longitude;
|
||
var Latitude;
|
||
var Height;
|
||
|
||
At_Pole = false;
|
||
P = Math.sqrt(X*X+Y*Y);
|
||
RR = Math.sqrt(X*X+Y*Y+Z*Z);
|
||
|
||
/* special cases for latitude and longitude */
|
||
if (P/this.a < genau) {
|
||
|
||
/* special case, if P=0. (X=0., Y=0.) */
|
||
At_Pole = true;
|
||
Longitude = 0.0;
|
||
|
||
/* if (X,Y,Z)=(0.,0.,0.) then Height becomes semi-minor axis
|
||
* of ellipsoid (=center of mass), Latitude becomes PI/2 */
|
||
if (RR/this.a < genau) {
|
||
Latitude = Proj4js.common.HALF_PI;
|
||
Height = -this.b;
|
||
return;
|
||
}
|
||
} else {
|
||
/* ellipsoidal (geodetic) longitude
|
||
* interval: -PI < Longitude <= +PI */
|
||
Longitude=Math.atan2(Y,X);
|
||
}
|
||
|
||
/* --------------------------------------------------------------
|
||
* Following iterative algorithm was developped by
|
||
* "Institut f<>r Erdmessung", University of Hannover, July 1988.
|
||
* Internet: www.ife.uni-hannover.de
|
||
* Iterative computation of CPHI,SPHI and Height.
|
||
* Iteration of CPHI and SPHI to 10**-12 radian resp.
|
||
* 2*10**-7 arcsec.
|
||
* --------------------------------------------------------------
|
||
*/
|
||
CT = Z/RR;
|
||
ST = P/RR;
|
||
RX = 1.0/Math.sqrt(1.0-this.es*(2.0-this.es)*ST*ST);
|
||
CPHI0 = ST*(1.0-this.es)*RX;
|
||
SPHI0 = CT*RX;
|
||
iter = 0;
|
||
|
||
/* loop to find sin(Latitude) resp. Latitude
|
||
* until |sin(Latitude(iter)-Latitude(iter-1))| < genau */
|
||
do
|
||
{
|
||
iter++;
|
||
RN = this.a/Math.sqrt(1.0-this.es*SPHI0*SPHI0);
|
||
|
||
/* ellipsoidal (geodetic) height */
|
||
Height = P*CPHI0+Z*SPHI0-RN*(1.0-this.es*SPHI0*SPHI0);
|
||
|
||
RK = this.es*RN/(RN+Height);
|
||
RX = 1.0/Math.sqrt(1.0-RK*(2.0-RK)*ST*ST);
|
||
CPHI = ST*(1.0-RK)*RX;
|
||
SPHI = CT*RX;
|
||
SDPHI = SPHI*CPHI0-CPHI*SPHI0;
|
||
CPHI0 = CPHI;
|
||
SPHI0 = SPHI;
|
||
}
|
||
while (SDPHI*SDPHI > genau2 && iter < maxiter);
|
||
|
||
/* ellipsoidal (geodetic) latitude */
|
||
Latitude=Math.atan(SPHI/Math.abs(CPHI));
|
||
|
||
p.x = Longitude;
|
||
p.y = Latitude;
|
||
p.z = Height;
|
||
return p;
|
||
}, // cs_geocentric_to_geodetic()
|
||
|
||
/** Convert_Geocentric_To_Geodetic
|
||
* The method used here is derived from 'An Improved Algorithm for
|
||
* Geocentric to Geodetic Coordinate Conversion', by Ralph Toms, Feb 1996
|
||
*/
|
||
geocentric_to_geodetic_noniter : function (p) {
|
||
var X = p.x;
|
||
var Y = p.y;
|
||
var Z = p.z ? p.z : 0; //Z value not always supplied
|
||
var Longitude;
|
||
var Latitude;
|
||
var Height;
|
||
|
||
var W; /* distance from Z axis */
|
||
var W2; /* square of distance from Z axis */
|
||
var T0; /* initial estimate of vertical component */
|
||
var T1; /* corrected estimate of vertical component */
|
||
var S0; /* initial estimate of horizontal component */
|
||
var S1; /* corrected estimate of horizontal component */
|
||
var Sin_B0; /* Math.sin(B0), B0 is estimate of Bowring aux variable */
|
||
var Sin3_B0; /* cube of Math.sin(B0) */
|
||
var Cos_B0; /* Math.cos(B0) */
|
||
var Sin_p1; /* Math.sin(phi1), phi1 is estimated latitude */
|
||
var Cos_p1; /* Math.cos(phi1) */
|
||
var Rn; /* Earth radius at location */
|
||
var Sum; /* numerator of Math.cos(phi1) */
|
||
var At_Pole; /* indicates location is in polar region */
|
||
|
||
X = parseFloat(X); // cast from string to float
|
||
Y = parseFloat(Y);
|
||
Z = parseFloat(Z);
|
||
|
||
At_Pole = false;
|
||
if (X != 0.0)
|
||
{
|
||
Longitude = Math.atan2(Y,X);
|
||
}
|
||
else
|
||
{
|
||
if (Y > 0)
|
||
{
|
||
Longitude = Proj4js.common.HALF_PI;
|
||
}
|
||
else if (Y < 0)
|
||
{
|
||
Longitude = -Proj4js.common.HALF_PI;
|
||
}
|
||
else
|
||
{
|
||
At_Pole = true;
|
||
Longitude = 0.0;
|
||
if (Z > 0.0)
|
||
{ /* north pole */
|
||
Latitude = Proj4js.common.HALF_PI;
|
||
}
|
||
else if (Z < 0.0)
|
||
{ /* south pole */
|
||
Latitude = -Proj4js.common.HALF_PI;
|
||
}
|
||
else
|
||
{ /* center of earth */
|
||
Latitude = Proj4js.common.HALF_PI;
|
||
Height = -this.b;
|
||
return;
|
||
}
|
||
}
|
||
}
|
||
W2 = X*X + Y*Y;
|
||
W = Math.sqrt(W2);
|
||
T0 = Z * Proj4js.common.AD_C;
|
||
S0 = Math.sqrt(T0 * T0 + W2);
|
||
Sin_B0 = T0 / S0;
|
||
Cos_B0 = W / S0;
|
||
Sin3_B0 = Sin_B0 * Sin_B0 * Sin_B0;
|
||
T1 = Z + this.b * this.ep2 * Sin3_B0;
|
||
Sum = W - this.a * this.es * Cos_B0 * Cos_B0 * Cos_B0;
|
||
S1 = Math.sqrt(T1*T1 + Sum * Sum);
|
||
Sin_p1 = T1 / S1;
|
||
Cos_p1 = Sum / S1;
|
||
Rn = this.a / Math.sqrt(1.0 - this.es * Sin_p1 * Sin_p1);
|
||
if (Cos_p1 >= Proj4js.common.COS_67P5)
|
||
{
|
||
Height = W / Cos_p1 - Rn;
|
||
}
|
||
else if (Cos_p1 <= -Proj4js.common.COS_67P5)
|
||
{
|
||
Height = W / -Cos_p1 - Rn;
|
||
}
|
||
else
|
||
{
|
||
Height = Z / Sin_p1 + Rn * (this.es - 1.0);
|
||
}
|
||
if (At_Pole == false)
|
||
{
|
||
Latitude = Math.atan(Sin_p1 / Cos_p1);
|
||
}
|
||
|
||
p.x = Longitude;
|
||
p.y = Latitude;
|
||
p.z = Height;
|
||
return p;
|
||
}, // geocentric_to_geodetic_noniter()
|
||
|
||
/****************************************************************/
|
||
// pj_geocentic_to_wgs84( p )
|
||
// p = point to transform in geocentric coordinates (x,y,z)
|
||
geocentric_to_wgs84 : function ( p ) {
|
||
|
||
if( this.datum_type == Proj4js.common.PJD_3PARAM )
|
||
{
|
||
// if( x[io] == HUGE_VAL )
|
||
// continue;
|
||
p.x += this.datum_params[0];
|
||
p.y += this.datum_params[1];
|
||
p.z += this.datum_params[2];
|
||
|
||
}
|
||
else if (this.datum_type == Proj4js.common.PJD_7PARAM)
|
||
{
|
||
var Dx_BF =this.datum_params[0];
|
||
var Dy_BF =this.datum_params[1];
|
||
var Dz_BF =this.datum_params[2];
|
||
var Rx_BF =this.datum_params[3];
|
||
var Ry_BF =this.datum_params[4];
|
||
var Rz_BF =this.datum_params[5];
|
||
var M_BF =this.datum_params[6];
|
||
// if( x[io] == HUGE_VAL )
|
||
// continue;
|
||
var x_out = M_BF*( p.x - Rz_BF*p.y + Ry_BF*p.z) + Dx_BF;
|
||
var y_out = M_BF*( Rz_BF*p.x + p.y - Rx_BF*p.z) + Dy_BF;
|
||
var z_out = M_BF*(-Ry_BF*p.x + Rx_BF*p.y + p.z) + Dz_BF;
|
||
p.x = x_out;
|
||
p.y = y_out;
|
||
p.z = z_out;
|
||
}
|
||
}, // cs_geocentric_to_wgs84
|
||
|
||
/****************************************************************/
|
||
// pj_geocentic_from_wgs84()
|
||
// coordinate system definition,
|
||
// point to transform in geocentric coordinates (x,y,z)
|
||
geocentric_from_wgs84 : function( p ) {
|
||
|
||
if( this.datum_type == Proj4js.common.PJD_3PARAM )
|
||
{
|
||
//if( x[io] == HUGE_VAL )
|
||
// continue;
|
||
p.x -= this.datum_params[0];
|
||
p.y -= this.datum_params[1];
|
||
p.z -= this.datum_params[2];
|
||
|
||
}
|
||
else if (this.datum_type == Proj4js.common.PJD_7PARAM)
|
||
{
|
||
var Dx_BF =this.datum_params[0];
|
||
var Dy_BF =this.datum_params[1];
|
||
var Dz_BF =this.datum_params[2];
|
||
var Rx_BF =this.datum_params[3];
|
||
var Ry_BF =this.datum_params[4];
|
||
var Rz_BF =this.datum_params[5];
|
||
var M_BF =this.datum_params[6];
|
||
var x_tmp = (p.x - Dx_BF) / M_BF;
|
||
var y_tmp = (p.y - Dy_BF) / M_BF;
|
||
var z_tmp = (p.z - Dz_BF) / M_BF;
|
||
//if( x[io] == HUGE_VAL )
|
||
// continue;
|
||
|
||
p.x = x_tmp + Rz_BF*y_tmp - Ry_BF*z_tmp;
|
||
p.y = -Rz_BF*x_tmp + y_tmp + Rx_BF*z_tmp;
|
||
p.z = Ry_BF*x_tmp - Rx_BF*y_tmp + z_tmp;
|
||
} //cs_geocentric_from_wgs84()
|
||
}
|
||
});
|
||
|
||
/** point object, nothing fancy, just allows values to be
|
||
passed back and forth by reference rather than by value.
|
||
Other point classes may be used as long as they have
|
||
x and y properties, which will get modified in the transform method.
|
||
*/
|
||
Proj4js.Point = Proj4js.Class({
|
||
|
||
/**
|
||
* Constructor: Proj4js.Point
|
||
*
|
||
* Parameters:
|
||
* - x {float} or {Array} either the first coordinates component or
|
||
* the full coordinates
|
||
* - y {float} the second component
|
||
* - z {float} the third component, optional.
|
||
*/
|
||
initialize : function(x,y,z) {
|
||
if (typeof x == 'object') {
|
||
this.x = x[0];
|
||
this.y = x[1];
|
||
this.z = x[2] || 0.0;
|
||
} else if (typeof x == 'string' && typeof y == 'undefined') {
|
||
var coords = x.split(',');
|
||
this.x = parseFloat(coords[0]);
|
||
this.y = parseFloat(coords[1]);
|
||
this.z = parseFloat(coords[2]) || 0.0;
|
||
} else {
|
||
this.x = x;
|
||
this.y = y;
|
||
this.z = z || 0.0;
|
||
}
|
||
},
|
||
|
||
/**
|
||
* APIMethod: clone
|
||
* Build a copy of a Proj4js.Point object.
|
||
*
|
||
* Return:
|
||
* {Proj4js}.Point the cloned point.
|
||
*/
|
||
clone : function() {
|
||
return new Proj4js.Point(this.x, this.y, this.z);
|
||
},
|
||
|
||
/**
|
||
* APIMethod: toString
|
||
* Return a readable string version of the point
|
||
*
|
||
* Return:
|
||
* {String} String representation of Proj4js.Point object.
|
||
* (ex. <i>"x=5,y=42"</i>)
|
||
*/
|
||
toString : function() {
|
||
return ("x=" + this.x + ",y=" + this.y);
|
||
},
|
||
|
||
/**
|
||
* APIMethod: toShortString
|
||
* Return a short string version of the point.
|
||
*
|
||
* Return:
|
||
* {String} Shortened String representation of Proj4js.Point object.
|
||
* (ex. <i>"5, 42"</i>)
|
||
*/
|
||
toShortString : function() {
|
||
return (this.x + ", " + this.y);
|
||
}
|
||
});
|
||
|
||
Proj4js.PrimeMeridian = {
|
||
"greenwich": 0.0, //"0dE",
|
||
"lisbon": -9.131906111111, //"9d07'54.862\"W",
|
||
"paris": 2.337229166667, //"2d20'14.025\"E",
|
||
"bogota": -74.080916666667, //"74d04'51.3\"W",
|
||
"madrid": -3.687938888889, //"3d41'16.58\"W",
|
||
"rome": 12.452333333333, //"12d27'8.4\"E",
|
||
"bern": 7.439583333333, //"7d26'22.5\"E",
|
||
"jakarta": 106.807719444444, //"106d48'27.79\"E",
|
||
"ferro": -17.666666666667, //"17d40'W",
|
||
"brussels": 4.367975, //"4d22'4.71\"E",
|
||
"stockholm": 18.058277777778, //"18d3'29.8\"E",
|
||
"athens": 23.7163375, //"23d42'58.815\"E",
|
||
"oslo": 10.722916666667 //"10d43'22.5\"E"
|
||
};
|
||
|
||
Proj4js.Ellipsoid = {
|
||
"MERIT": {a:6378137.0, rf:298.257, ellipseName:"MERIT 1983"},
|
||
"SGS85": {a:6378136.0, rf:298.257, ellipseName:"Soviet Geodetic System 85"},
|
||
"GRS80": {a:6378137.0, rf:298.257222101, ellipseName:"GRS 1980(IUGG, 1980)"},
|
||
"IAU76": {a:6378140.0, rf:298.257, ellipseName:"IAU 1976"},
|
||
"airy": {a:6377563.396, b:6356256.910, ellipseName:"Airy 1830"},
|
||
"APL4.": {a:6378137, rf:298.25, ellipseName:"Appl. Physics. 1965"},
|
||
"NWL9D": {a:6378145.0, rf:298.25, ellipseName:"Naval Weapons Lab., 1965"},
|
||
"mod_airy": {a:6377340.189, b:6356034.446, ellipseName:"Modified Airy"},
|
||
"andrae": {a:6377104.43, rf:300.0, ellipseName:"Andrae 1876 (Den., Iclnd.)"},
|
||
"aust_SA": {a:6378160.0, rf:298.25, ellipseName:"Australian Natl & S. Amer. 1969"},
|
||
"GRS67": {a:6378160.0, rf:298.2471674270, ellipseName:"GRS 67(IUGG 1967)"},
|
||
"bessel": {a:6377397.155, rf:299.1528128, ellipseName:"Bessel 1841"},
|
||
"bess_nam": {a:6377483.865, rf:299.1528128, ellipseName:"Bessel 1841 (Namibia)"},
|
||
"clrk66": {a:6378206.4, b:6356583.8, ellipseName:"Clarke 1866"},
|
||
"clrk80": {a:6378249.145, rf:293.4663, ellipseName:"Clarke 1880 mod."},
|
||
"CPM": {a:6375738.7, rf:334.29, ellipseName:"Comm. des Poids et Mesures 1799"},
|
||
"delmbr": {a:6376428.0, rf:311.5, ellipseName:"Delambre 1810 (Belgium)"},
|
||
"engelis": {a:6378136.05, rf:298.2566, ellipseName:"Engelis 1985"},
|
||
"evrst30": {a:6377276.345, rf:300.8017, ellipseName:"Everest 1830"},
|
||
"evrst48": {a:6377304.063, rf:300.8017, ellipseName:"Everest 1948"},
|
||
"evrst56": {a:6377301.243, rf:300.8017, ellipseName:"Everest 1956"},
|
||
"evrst69": {a:6377295.664, rf:300.8017, ellipseName:"Everest 1969"},
|
||
"evrstSS": {a:6377298.556, rf:300.8017, ellipseName:"Everest (Sabah & Sarawak)"},
|
||
"fschr60": {a:6378166.0, rf:298.3, ellipseName:"Fischer (Mercury Datum) 1960"},
|
||
"fschr60m": {a:6378155.0, rf:298.3, ellipseName:"Fischer 1960"},
|
||
"fschr68": {a:6378150.0, rf:298.3, ellipseName:"Fischer 1968"},
|
||
"helmert": {a:6378200.0, rf:298.3, ellipseName:"Helmert 1906"},
|
||
"hough": {a:6378270.0, rf:297.0, ellipseName:"Hough"},
|
||
"intl": {a:6378388.0, rf:297.0, ellipseName:"International 1909 (Hayford)"},
|
||
"kaula": {a:6378163.0, rf:298.24, ellipseName:"Kaula 1961"},
|
||
"lerch": {a:6378139.0, rf:298.257, ellipseName:"Lerch 1979"},
|
||
"mprts": {a:6397300.0, rf:191.0, ellipseName:"Maupertius 1738"},
|
||
"new_intl": {a:6378157.5, b:6356772.2, ellipseName:"New International 1967"},
|
||
"plessis": {a:6376523.0, rf:6355863.0, ellipseName:"Plessis 1817 (France)"},
|
||
"krass": {a:6378245.0, rf:298.3, ellipseName:"Krassovsky, 1942"},
|
||
"SEasia": {a:6378155.0, b:6356773.3205, ellipseName:"Southeast Asia"},
|
||
"walbeck": {a:6376896.0, b:6355834.8467, ellipseName:"Walbeck"},
|
||
"WGS60": {a:6378165.0, rf:298.3, ellipseName:"WGS 60"},
|
||
"WGS66": {a:6378145.0, rf:298.25, ellipseName:"WGS 66"},
|
||
"WGS72": {a:6378135.0, rf:298.26, ellipseName:"WGS 72"},
|
||
"WGS84": {a:6378137.0, rf:298.257223563, ellipseName:"WGS 84"},
|
||
"sphere": {a:6370997.0, b:6370997.0, ellipseName:"Normal Sphere (r=6370997)"}
|
||
};
|
||
|
||
Proj4js.Datum = {
|
||
"WGS84": {towgs84: "0,0,0", ellipse: "WGS84", datumName: "WGS84"},
|
||
"GGRS87": {towgs84: "-199.87,74.79,246.62", ellipse: "GRS80", datumName: "Greek_Geodetic_Reference_System_1987"},
|
||
"NAD83": {towgs84: "0,0,0", ellipse: "GRS80", datumName: "North_American_Datum_1983"},
|
||
"NAD27": {nadgrids: "@conus,@alaska,@ntv2_0.gsb,@ntv1_can.dat", ellipse: "clrk66", datumName: "North_American_Datum_1927"},
|
||
"potsdam": {towgs84: "606.0,23.0,413.0", ellipse: "bessel", datumName: "Potsdam Rauenberg 1950 DHDN"},
|
||
"carthage": {towgs84: "-263.0,6.0,431.0", ellipse: "clark80", datumName: "Carthage 1934 Tunisia"},
|
||
"hermannskogel": {towgs84: "653.0,-212.0,449.0", ellipse: "bessel", datumName: "Hermannskogel"},
|
||
"ire65": {towgs84: "482.530,-130.596,564.557,-1.042,-0.214,-0.631,8.15", ellipse: "mod_airy", datumName: "Ireland 1965"},
|
||
"nzgd49": {towgs84: "59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993", ellipse: "intl", datumName: "New Zealand Geodetic Datum 1949"},
|
||
"OSGB36": {towgs84: "446.448,-125.157,542.060,0.1502,0.2470,0.8421,-20.4894", ellipse: "airy", datumName: "Airy 1830"}
|
||
};
|
||
|
||
Proj4js.WGS84 = new Proj4js.Proj('WGS84');
|
||
Proj4js.Datum['OSB36'] = Proj4js.Datum['OSGB36']; //as returned from spatialreference.org
|
||
|
||
//lookup table to go from the projection name in WKT to the Proj4js projection name
|
||
//build this out as required
|
||
Proj4js.wktProjections = {
|
||
"Lambert Tangential Conformal Conic Projection": "lcc",
|
||
"Mercator": "merc",
|
||
"Popular Visualisation Pseudo Mercator": "merc",
|
||
"Mercator_1SP": "merc",
|
||
"Transverse_Mercator": "tmerc",
|
||
"Transverse Mercator": "tmerc",
|
||
"Lambert Azimuthal Equal Area": "laea",
|
||
"Universal Transverse Mercator System": "utm"
|
||
};
|
||
|
||
Proj4js.defs['EPSG:3857'] = Proj4js.defs['EPSG:3785'];
|
||
|
||
|
||
/* ======================================================================
|
||
projCode/aea.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME ALBERS CONICAL EQUAL AREA
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and Northing
|
||
for the Albers Conical Equal Area projection. The longitude
|
||
and latitude must be in radians. The Easting and Northing
|
||
values will be returned in meters.
|
||
|
||
PROGRAMMER DATE
|
||
---------- ----
|
||
T. Mittan, Feb, 1992
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
|
||
U.S. Geological Survey Professional Paper 1453 , United State Government
|
||
Printing Office, Washington D.C., 1989.
|
||
*******************************************************************************/
|
||
|
||
|
||
Proj4js.Proj.aea = {
|
||
init : function() {
|
||
|
||
if (Math.abs(this.lat1 + this.lat2) < Proj4js.common.EPSLN) {
|
||
Proj4js.reportError("aeaInitEqualLatitudes");
|
||
return;
|
||
}
|
||
this.temp = this.b / this.a;
|
||
this.es = 1.0 - Math.pow(this.temp,2);
|
||
this.e3 = Math.sqrt(this.es);
|
||
|
||
this.sin_po=Math.sin(this.lat1);
|
||
this.cos_po=Math.cos(this.lat1);
|
||
this.t1=this.sin_po;
|
||
this.con = this.sin_po;
|
||
this.ms1 = Proj4js.common.msfnz(this.e3,this.sin_po,this.cos_po);
|
||
this.qs1 = Proj4js.common.qsfnz(this.e3,this.sin_po,this.cos_po);
|
||
|
||
this.sin_po=Math.sin(this.lat2);
|
||
this.cos_po=Math.cos(this.lat2);
|
||
this.t2=this.sin_po;
|
||
this.ms2 = Proj4js.common.msfnz(this.e3,this.sin_po,this.cos_po);
|
||
this.qs2 = Proj4js.common.qsfnz(this.e3,this.sin_po,this.cos_po);
|
||
|
||
this.sin_po=Math.sin(this.lat0);
|
||
this.cos_po=Math.cos(this.lat0);
|
||
this.t3=this.sin_po;
|
||
this.qs0 = Proj4js.common.qsfnz(this.e3,this.sin_po,this.cos_po);
|
||
|
||
if (Math.abs(this.lat1 - this.lat2) > Proj4js.common.EPSLN) {
|
||
this.ns0 = (this.ms1 * this.ms1 - this.ms2 *this.ms2)/ (this.qs2 - this.qs1);
|
||
} else {
|
||
this.ns0 = this.con;
|
||
}
|
||
this.c = this.ms1 * this.ms1 + this.ns0 * this.qs1;
|
||
this.rh = this.a * Math.sqrt(this.c - this.ns0 * this.qs0)/this.ns0;
|
||
},
|
||
|
||
/* Albers Conical Equal Area forward equations--mapping lat,long to x,y
|
||
-------------------------------------------------------------------*/
|
||
forward: function(p){
|
||
|
||
var lon=p.x;
|
||
var lat=p.y;
|
||
|
||
this.sin_phi=Math.sin(lat);
|
||
this.cos_phi=Math.cos(lat);
|
||
|
||
var qs = Proj4js.common.qsfnz(this.e3,this.sin_phi,this.cos_phi);
|
||
var rh1 =this.a * Math.sqrt(this.c - this.ns0 * qs)/this.ns0;
|
||
var theta = this.ns0 * Proj4js.common.adjust_lon(lon - this.long0);
|
||
var x = rh1 * Math.sin(theta) + this.x0;
|
||
var y = this.rh - rh1 * Math.cos(theta) + this.y0;
|
||
|
||
p.x = x;
|
||
p.y = y;
|
||
return p;
|
||
},
|
||
|
||
|
||
inverse: function(p) {
|
||
var rh1,qs,con,theta,lon,lat;
|
||
|
||
p.x -= this.x0;
|
||
p.y = this.rh - p.y + this.y0;
|
||
if (this.ns0 >= 0) {
|
||
rh1 = Math.sqrt(p.x *p.x + p.y * p.y);
|
||
con = 1.0;
|
||
} else {
|
||
rh1 = -Math.sqrt(p.x * p.x + p.y *p.y);
|
||
con = -1.0;
|
||
}
|
||
theta = 0.0;
|
||
if (rh1 != 0.0) {
|
||
theta = Math.atan2(con * p.x, con * p.y);
|
||
}
|
||
con = rh1 * this.ns0 / this.a;
|
||
qs = (this.c - con * con) / this.ns0;
|
||
if (this.e3 >= 1e-10) {
|
||
con = 1 - .5 * (1.0 -this.es) * Math.log((1.0 - this.e3) / (1.0 + this.e3))/this.e3;
|
||
if (Math.abs(Math.abs(con) - Math.abs(qs)) > .0000000001 ) {
|
||
lat = this.phi1z(this.e3,qs);
|
||
} else {
|
||
if (qs >= 0) {
|
||
lat = .5 * Proj4js.common.PI;
|
||
} else {
|
||
lat = -.5 * Proj4js.common.PI;
|
||
}
|
||
}
|
||
} else {
|
||
lat = this.phi1z(this.e3,qs);
|
||
}
|
||
|
||
lon = Proj4js.common.adjust_lon(theta/this.ns0 + this.long0);
|
||
p.x = lon;
|
||
p.y = lat;
|
||
return p;
|
||
},
|
||
|
||
/* Function to compute phi1, the latitude for the inverse of the
|
||
Albers Conical Equal-Area projection.
|
||
-------------------------------------------*/
|
||
phi1z: function (eccent,qs) {
|
||
var sinphi, cosphi, con, com, dphi;
|
||
var phi = Proj4js.common.asinz(.5 * qs);
|
||
if (eccent < Proj4js.common.EPSLN) return phi;
|
||
|
||
var eccnts = eccent * eccent;
|
||
for (var i = 1; i <= 25; i++) {
|
||
sinphi = Math.sin(phi);
|
||
cosphi = Math.cos(phi);
|
||
con = eccent * sinphi;
|
||
com = 1.0 - con * con;
|
||
dphi = .5 * com * com / cosphi * (qs / (1.0 - eccnts) - sinphi / com + .5 / eccent * Math.log((1.0 - con) / (1.0 + con)));
|
||
phi = phi + dphi;
|
||
if (Math.abs(dphi) <= 1e-7) return phi;
|
||
}
|
||
Proj4js.reportError("aea:phi1z:Convergence error");
|
||
return null;
|
||
}
|
||
|
||
};
|
||
|
||
|
||
|
||
/* ======================================================================
|
||
projCode/sterea.js
|
||
====================================================================== */
|
||
|
||
|
||
Proj4js.Proj.sterea = {
|
||
dependsOn : 'gauss',
|
||
|
||
init : function() {
|
||
Proj4js.Proj['gauss'].init.apply(this);
|
||
if (!this.rc) {
|
||
Proj4js.reportError("sterea:init:E_ERROR_0");
|
||
return;
|
||
}
|
||
this.sinc0 = Math.sin(this.phic0);
|
||
this.cosc0 = Math.cos(this.phic0);
|
||
this.R2 = 2.0 * this.rc;
|
||
if (!this.title) this.title = "Oblique Stereographic Alternative";
|
||
},
|
||
|
||
forward : function(p) {
|
||
var sinc, cosc, cosl, k;
|
||
p.x = Proj4js.common.adjust_lon(p.x-this.long0); /* adjust del longitude */
|
||
Proj4js.Proj['gauss'].forward.apply(this, [p]);
|
||
sinc = Math.sin(p.y);
|
||
cosc = Math.cos(p.y);
|
||
cosl = Math.cos(p.x);
|
||
k = this.k0 * this.R2 / (1.0 + this.sinc0 * sinc + this.cosc0 * cosc * cosl);
|
||
p.x = k * cosc * Math.sin(p.x);
|
||
p.y = k * (this.cosc0 * sinc - this.sinc0 * cosc * cosl);
|
||
p.x = this.a * p.x + this.x0;
|
||
p.y = this.a * p.y + this.y0;
|
||
return p;
|
||
},
|
||
|
||
inverse : function(p) {
|
||
var sinc, cosc, lon, lat, rho;
|
||
p.x = (p.x - this.x0) / this.a; /* descale and de-offset */
|
||
p.y = (p.y - this.y0) / this.a;
|
||
|
||
p.x /= this.k0;
|
||
p.y /= this.k0;
|
||
if ( (rho = Math.sqrt(p.x*p.x + p.y*p.y)) ) {
|
||
var c = 2.0 * Math.atan2(rho, this.R2);
|
||
sinc = Math.sin(c);
|
||
cosc = Math.cos(c);
|
||
lat = Math.asin(cosc * this.sinc0 + p.y * sinc * this.cosc0 / rho);
|
||
lon = Math.atan2(p.x * sinc, rho * this.cosc0 * cosc - p.y * this.sinc0 * sinc);
|
||
} else {
|
||
lat = this.phic0;
|
||
lon = 0.;
|
||
}
|
||
|
||
p.x = lon;
|
||
p.y = lat;
|
||
Proj4js.Proj['gauss'].inverse.apply(this,[p]);
|
||
p.x = Proj4js.common.adjust_lon(p.x + this.long0); /* adjust longitude to CM */
|
||
return p;
|
||
}
|
||
};
|
||
|
||
/* ======================================================================
|
||
projCode/poly.js
|
||
====================================================================== */
|
||
|
||
/* Function to compute, phi4, the latitude for the inverse of the
|
||
Polyconic projection.
|
||
------------------------------------------------------------*/
|
||
function phi4z (eccent,e0,e1,e2,e3,a,b,c,phi) {
|
||
var sinphi, sin2ph, tanphi, ml, mlp, con1, con2, con3, dphi, i;
|
||
|
||
phi = a;
|
||
for (i = 1; i <= 15; i++) {
|
||
sinphi = Math.sin(phi);
|
||
tanphi = Math.tan(phi);
|
||
c = tanphi * Math.sqrt (1.0 - eccent * sinphi * sinphi);
|
||
sin2ph = Math.sin (2.0 * phi);
|
||
/*
|
||
ml = e0 * *phi - e1 * sin2ph + e2 * sin (4.0 * *phi);
|
||
mlp = e0 - 2.0 * e1 * cos (2.0 * *phi) + 4.0 * e2 * cos (4.0 * *phi);
|
||
*/
|
||
ml = e0 * phi - e1 * sin2ph + e2 * Math.sin (4.0 * phi) - e3 * Math.sin (6.0 * phi);
|
||
mlp = e0 - 2.0 * e1 * Math.cos (2.0 * phi) + 4.0 * e2 * Math.cos (4.0 * phi) - 6.0 * e3 * Math.cos (6.0 * phi);
|
||
con1 = 2.0 * ml + c * (ml * ml + b) - 2.0 * a * (c * ml + 1.0);
|
||
con2 = eccent * sin2ph * (ml * ml + b - 2.0 * a * ml) / (2.0 *c);
|
||
con3 = 2.0 * (a - ml) * (c * mlp - 2.0 / sin2ph) - 2.0 * mlp;
|
||
dphi = con1 / (con2 + con3);
|
||
phi += dphi;
|
||
if (Math.abs(dphi) <= .0000000001 ) return(phi);
|
||
}
|
||
Proj4js.reportError("phi4z: No convergence");
|
||
return null;
|
||
}
|
||
|
||
|
||
/* Function to compute the constant e4 from the input of the eccentricity
|
||
of the spheroid, x. This constant is used in the Polar Stereographic
|
||
projection.
|
||
--------------------------------------------------------------------*/
|
||
function e4fn(x) {
|
||
var con, com;
|
||
con = 1.0 + x;
|
||
com = 1.0 - x;
|
||
return (Math.sqrt((Math.pow(con,con))*(Math.pow(com,com))));
|
||
}
|
||
|
||
|
||
|
||
|
||
|
||
/*******************************************************************************
|
||
NAME POLYCONIC
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the Polyconic projection. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
|
||
PROGRAMMER DATE
|
||
---------- ----
|
||
T. Mittan Mar, 1993
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
|
||
U.S. Geological Survey Professional Paper 1453 , United State Government
|
||
Printing Office, Washington D.C., 1989.
|
||
*******************************************************************************/
|
||
|
||
Proj4js.Proj.poly = {
|
||
|
||
/* Initialize the POLYCONIC projection
|
||
----------------------------------*/
|
||
init: function() {
|
||
var temp; /* temporary variable */
|
||
if (this.lat0 == 0) this.lat0 = 90;//this.lat0 ca
|
||
|
||
/* Place parameters in static storage for common use
|
||
-------------------------------------------------*/
|
||
this.temp = this.b / this.a;
|
||
this.es = 1.0 - Math.pow(this.temp,2);// devait etre dans tmerc.js mais n y est pas donc je commente sinon retour de valeurs nulles
|
||
this.e = Math.sqrt(this.es);
|
||
this.e0 = Proj4js.common.e0fn(this.es);
|
||
this.e1 = Proj4js.common.e1fn(this.es);
|
||
this.e2 = Proj4js.common.e2fn(this.es);
|
||
this.e3 = Proj4js.common.e3fn(this.es);
|
||
this.ml0 = Proj4js.common.mlfn(this.e0, this.e1,this.e2, this.e3, this.lat0);//si que des zeros le calcul ne se fait pas
|
||
//if (!this.ml0) {this.ml0=0;}
|
||
},
|
||
|
||
|
||
/* Polyconic forward equations--mapping lat,long to x,y
|
||
---------------------------------------------------*/
|
||
forward: function(p) {
|
||
var sinphi, cosphi; /* sin and cos value */
|
||
var al; /* temporary values */
|
||
var c; /* temporary values */
|
||
var con, ml; /* cone constant, small m */
|
||
var ms; /* small m */
|
||
var x,y;
|
||
|
||
var lon=p.x;
|
||
var lat=p.y;
|
||
|
||
con = Proj4js.common.adjust_lon(lon - this.long0);
|
||
if (Math.abs(lat) <= .0000001) {
|
||
x = this.x0 + this.a * con;
|
||
y = this.y0 - this.a * this.ml0;
|
||
} else {
|
||
sinphi = Math.sin(lat);
|
||
cosphi = Math.cos(lat);
|
||
|
||
ml = Proj4js.common.mlfn(this.e0, this.e1, this.e2, this.e3, lat);
|
||
ms = Proj4js.common.msfnz(this.e,sinphi,cosphi);
|
||
con = sinphi;
|
||
x = this.x0 + this.a * ms * Math.sin(con)/sinphi;
|
||
y = this.y0 + this.a * (ml - this.ml0 + ms * (1.0 - Math.cos(con))/sinphi);
|
||
}
|
||
|
||
p.x=x;
|
||
p.y=y;
|
||
return p;
|
||
},
|
||
|
||
|
||
/* Inverse equations
|
||
-----------------*/
|
||
inverse: function(p) {
|
||
var sin_phi, cos_phi; /* sin and cos value */
|
||
var al; /* temporary values */
|
||
var b; /* temporary values */
|
||
var c; /* temporary values */
|
||
var con, ml; /* cone constant, small m */
|
||
var iflg; /* error flag */
|
||
var lon,lat;
|
||
p.x -= this.x0;
|
||
p.y -= this.y0;
|
||
al = this.ml0 + p.y/this.a;
|
||
iflg = 0;
|
||
|
||
if (Math.abs(al) <= .0000001) {
|
||
lon = p.x/this.a + this.long0;
|
||
lat = 0.0;
|
||
} else {
|
||
b = al * al + (p.x/this.a) * (p.x/this.a);
|
||
iflg = phi4z(this.es,this.e0,this.e1,this.e2,this.e3,this.al,b,c,lat);
|
||
if (iflg != 1) return(iflg);
|
||
lon = Proj4js.common.adjust_lon((Proj4js.common.asinz(p.x * c / this.a) / Math.sin(lat)) + this.long0);
|
||
}
|
||
|
||
p.x=lon;
|
||
p.y=lat;
|
||
return p;
|
||
}
|
||
};
|
||
|
||
|
||
|
||
/* ======================================================================
|
||
projCode/equi.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME EQUIRECTANGULAR
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the Equirectangular projection. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
|
||
PROGRAMMER DATE
|
||
---------- ----
|
||
T. Mittan Mar, 1993
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
|
||
U.S. Geological Survey Professional Paper 1453 , United State Government
|
||
Printing Office, Washington D.C., 1989.
|
||
*******************************************************************************/
|
||
Proj4js.Proj.equi = {
|
||
|
||
init: function() {
|
||
if(!this.x0) this.x0=0;
|
||
if(!this.y0) this.y0=0;
|
||
if(!this.lat0) this.lat0=0;
|
||
if(!this.long0) this.long0=0;
|
||
///this.t2;
|
||
},
|
||
|
||
|
||
|
||
/* Equirectangular forward equations--mapping lat,long to x,y
|
||
---------------------------------------------------------*/
|
||
forward: function(p) {
|
||
|
||
var lon=p.x;
|
||
var lat=p.y;
|
||
|
||
var dlon = Proj4js.common.adjust_lon(lon - this.long0);
|
||
var x = this.x0 +this. a * dlon *Math.cos(this.lat0);
|
||
var y = this.y0 + this.a * lat;
|
||
|
||
this.t1=x;
|
||
this.t2=Math.cos(this.lat0);
|
||
p.x=x;
|
||
p.y=y;
|
||
return p;
|
||
}, //equiFwd()
|
||
|
||
|
||
|
||
/* Equirectangular inverse equations--mapping x,y to lat/long
|
||
---------------------------------------------------------*/
|
||
inverse: function(p) {
|
||
|
||
p.x -= this.x0;
|
||
p.y -= this.y0;
|
||
var lat = p.y /this. a;
|
||
|
||
if ( Math.abs(lat) > Proj4js.common.HALF_PI) {
|
||
Proj4js.reportError("equi:Inv:DataError");
|
||
}
|
||
var lon = Proj4js.common.adjust_lon(this.long0 + p.x / (this.a * Math.cos(this.lat0)));
|
||
p.x=lon;
|
||
p.y=lat;
|
||
}//equiInv()
|
||
};
|
||
|
||
|
||
/* ======================================================================
|
||
projCode/merc.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME MERCATOR
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the Mercator projection. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
|
||
PROGRAMMER DATE
|
||
---------- ----
|
||
D. Steinwand, EROS Nov, 1991
|
||
T. Mittan Mar, 1993
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
|
||
U.S. Geological Survey Professional Paper 1453 , United State Government
|
||
Printing Office, Washington D.C., 1989.
|
||
*******************************************************************************/
|
||
|
||
//static double r_major = a; /* major axis */
|
||
//static double r_minor = b; /* minor axis */
|
||
//static double lon_center = long0; /* Center longitude (projection center) */
|
||
//static double lat_origin = lat0; /* center latitude */
|
||
//static double e,es; /* eccentricity constants */
|
||
//static double m1; /* small value m */
|
||
//static double false_northing = y0; /* y offset in meters */
|
||
//static double false_easting = x0; /* x offset in meters */
|
||
//scale_fact = k0
|
||
|
||
Proj4js.Proj.merc = {
|
||
init : function() {
|
||
//?this.temp = this.r_minor / this.r_major;
|
||
//this.temp = this.b / this.a;
|
||
//this.es = 1.0 - Math.sqrt(this.temp);
|
||
//this.e = Math.sqrt( this.es );
|
||
//?this.m1 = Math.cos(this.lat_origin) / (Math.sqrt( 1.0 - this.es * Math.sin(this.lat_origin) * Math.sin(this.lat_origin)));
|
||
//this.m1 = Math.cos(0.0) / (Math.sqrt( 1.0 - this.es * Math.sin(0.0) * Math.sin(0.0)));
|
||
if (this.lat_ts) {
|
||
if (this.sphere) {
|
||
this.k0 = Math.cos(this.lat_ts);
|
||
} else {
|
||
this.k0 = Proj4js.common.msfnz(this.es, Math.sin(this.lat_ts), Math.cos(this.lat_ts));
|
||
}
|
||
}
|
||
},
|
||
|
||
/* Mercator forward equations--mapping lat,long to x,y
|
||
--------------------------------------------------*/
|
||
|
||
forward : function(p) {
|
||
//alert("ll2m coords : "+coords);
|
||
var lon = p.x;
|
||
var lat = p.y;
|
||
// convert to radians
|
||
if ( lat*Proj4js.common.R2D > 90.0 &&
|
||
lat*Proj4js.common.R2D < -90.0 &&
|
||
lon*Proj4js.common.R2D > 180.0 &&
|
||
lon*Proj4js.common.R2D < -180.0) {
|
||
Proj4js.reportError("merc:forward: llInputOutOfRange: "+ lon +" : " + lat);
|
||
return null;
|
||
}
|
||
|
||
var x,y;
|
||
if(Math.abs( Math.abs(lat) - Proj4js.common.HALF_PI) <= Proj4js.common.EPSLN) {
|
||
Proj4js.reportError("merc:forward: ll2mAtPoles");
|
||
return null;
|
||
} else {
|
||
if (this.sphere) {
|
||
x = this.x0 + this.a * this.k0 * Proj4js.common.adjust_lon(lon - this.long0);
|
||
y = this.y0 + this.a * this.k0 * Math.log(Math.tan(Proj4js.common.FORTPI + 0.5*lat));
|
||
} else {
|
||
var sinphi = Math.sin(lat);
|
||
var ts = Proj4js.common.tsfnz(this.e,lat,sinphi);
|
||
x = this.x0 + this.a * this.k0 * Proj4js.common.adjust_lon(lon - this.long0);
|
||
y = this.y0 - this.a * this.k0 * Math.log(ts);
|
||
}
|
||
p.x = x;
|
||
p.y = y;
|
||
return p;
|
||
}
|
||
},
|
||
|
||
|
||
/* Mercator inverse equations--mapping x,y to lat/long
|
||
--------------------------------------------------*/
|
||
inverse : function(p) {
|
||
|
||
var x = p.x - this.x0;
|
||
var y = p.y - this.y0;
|
||
var lon,lat;
|
||
|
||
if (this.sphere) {
|
||
lat = Proj4js.common.HALF_PI - 2.0 * Math.atan(Math.exp(-y / this.a * this.k0));
|
||
} else {
|
||
var ts = Math.exp(-y / (this.a * this.k0));
|
||
lat = Proj4js.common.phi2z(this.e,ts);
|
||
if(lat == -9999) {
|
||
Proj4js.reportError("merc:inverse: lat = -9999");
|
||
return null;
|
||
}
|
||
}
|
||
lon = Proj4js.common.adjust_lon(this.long0+ x / (this.a * this.k0));
|
||
|
||
p.x = lon;
|
||
p.y = lat;
|
||
return p;
|
||
}
|
||
};
|
||
|
||
|
||
/* ======================================================================
|
||
projCode/utm.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME TRANSVERSE MERCATOR
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the Transverse Mercator projection. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
|
||
U.S. Geological Survey Professional Paper 1453 , United State Government
|
||
Printing Office, Washington D.C., 1989.
|
||
*******************************************************************************/
|
||
|
||
|
||
/**
|
||
Initialize Transverse Mercator projection
|
||
*/
|
||
|
||
Proj4js.Proj.utm = {
|
||
dependsOn : 'tmerc',
|
||
|
||
init : function() {
|
||
if (!this.zone) {
|
||
Proj4js.reportError("utm:init: zone must be specified for UTM");
|
||
return;
|
||
}
|
||
this.lat0 = 0.0;
|
||
this.long0 = ((6 * Math.abs(this.zone)) - 183) * Proj4js.common.D2R;
|
||
this.x0 = 500000.0;
|
||
this.y0 = this.utmSouth ? 10000000.0 : 0.0;
|
||
this.k0 = 0.9996;
|
||
|
||
Proj4js.Proj['tmerc'].init.apply(this);
|
||
this.forward = Proj4js.Proj['tmerc'].forward;
|
||
this.inverse = Proj4js.Proj['tmerc'].inverse;
|
||
}
|
||
};
|
||
/* ======================================================================
|
||
projCode/eqdc.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME EQUIDISTANT CONIC
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and Northing
|
||
for the Equidistant Conic projection. The longitude and
|
||
latitude must be in radians. The Easting and Northing values
|
||
will be returned in meters.
|
||
|
||
PROGRAMMER DATE
|
||
---------- ----
|
||
T. Mittan Mar, 1993
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
|
||
U.S. Geological Survey Professional Paper 1453 , United State Government
|
||
Printing Office, Washington D.C., 1989.
|
||
*******************************************************************************/
|
||
|
||
/* Variables common to all subroutines in this code file
|
||
-----------------------------------------------------*/
|
||
|
||
Proj4js.Proj.eqdc = {
|
||
|
||
/* Initialize the Equidistant Conic projection
|
||
------------------------------------------*/
|
||
init: function() {
|
||
|
||
/* Place parameters in static storage for common use
|
||
-------------------------------------------------*/
|
||
|
||
if(!this.mode) this.mode=0;//chosen default mode
|
||
this.temp = this.b / this.a;
|
||
this.es = 1.0 - Math.pow(this.temp,2);
|
||
this.e = Math.sqrt(this.es);
|
||
this.e0 = Proj4js.common.e0fn(this.es);
|
||
this.e1 = Proj4js.common.e1fn(this.es);
|
||
this.e2 = Proj4js.common.e2fn(this.es);
|
||
this.e3 = Proj4js.common.e3fn(this.es);
|
||
|
||
this.sinphi=Math.sin(this.lat1);
|
||
this.cosphi=Math.cos(this.lat1);
|
||
|
||
this.ms1 = Proj4js.common.msfnz(this.e,this.sinphi,this.cosphi);
|
||
this.ml1 = Proj4js.common.mlfn(this.e0, this.e1, this.e2,this.e3, this.lat1);
|
||
|
||
/* format B
|
||
---------*/
|
||
if (this.mode != 0) {
|
||
if (Math.abs(this.lat1 + this.lat2) < Proj4js.common.EPSLN) {
|
||
Proj4js.reportError("eqdc:Init:EqualLatitudes");
|
||
//return(81);
|
||
}
|
||
this.sinphi=Math.sin(this.lat2);
|
||
this.cosphi=Math.cos(this.lat2);
|
||
|
||
this.ms2 = Proj4js.common.msfnz(this.e,this.sinphi,this.cosphi);
|
||
this.ml2 = Proj4js.common.mlfn(this.e0, this.e1, this.e2, this.e3, this.lat2);
|
||
if (Math.abs(this.lat1 - this.lat2) >= Proj4js.common.EPSLN) {
|
||
this.ns = (this.ms1 - this.ms2) / (this.ml2 - this.ml1);
|
||
} else {
|
||
this.ns = this.sinphi;
|
||
}
|
||
} else {
|
||
this.ns = this.sinphi;
|
||
}
|
||
this.g = this.ml1 + this.ms1/this.ns;
|
||
this.ml0 = Proj4js.common.mlfn(this.e0, this.e1,this. e2, this.e3, this.lat0);
|
||
this.rh = this.a * (this.g - this.ml0);
|
||
},
|
||
|
||
|
||
/* Equidistant Conic forward equations--mapping lat,long to x,y
|
||
-----------------------------------------------------------*/
|
||
forward: function(p) {
|
||
var lon=p.x;
|
||
var lat=p.y;
|
||
|
||
/* Forward equations
|
||
-----------------*/
|
||
var ml = Proj4js.common.mlfn(this.e0, this.e1, this.e2, this.e3, lat);
|
||
var rh1 = this.a * (this.g - ml);
|
||
var theta = this.ns * Proj4js.common.adjust_lon(lon - this.long0);
|
||
|
||
var x = this.x0 + rh1 * Math.sin(theta);
|
||
var y = this.y0 + this.rh - rh1 * Math.cos(theta);
|
||
p.x=x;
|
||
p.y=y;
|
||
return p;
|
||
},
|
||
|
||
/* Inverse equations
|
||
-----------------*/
|
||
inverse: function(p) {
|
||
p.x -= this.x0;
|
||
p.y = this.rh - p.y + this.y0;
|
||
var con, rh1;
|
||
if (this.ns >= 0) {
|
||
rh1 = Math.sqrt(p.x *p.x + p.y * p.y);
|
||
con = 1.0;
|
||
} else {
|
||
rh1 = -Math.sqrt(p.x *p. x +p. y * p.y);
|
||
con = -1.0;
|
||
}
|
||
var theta = 0.0;
|
||
if (rh1 != 0.0) theta = Math.atan2(con *p.x, con *p.y);
|
||
var ml = this.g - rh1 /this.a;
|
||
var lat = this.phi3z(ml,this.e0,this.e1,this.e2,this.e3);
|
||
var lon = Proj4js.common.adjust_lon(this.long0 + theta / this.ns);
|
||
|
||
p.x=lon;
|
||
p.y=lat;
|
||
return p;
|
||
},
|
||
|
||
/* Function to compute latitude, phi3, for the inverse of the Equidistant
|
||
Conic projection.
|
||
-----------------------------------------------------------------*/
|
||
phi3z: function(ml,e0,e1,e2,e3) {
|
||
var phi;
|
||
var dphi;
|
||
|
||
phi = ml;
|
||
for (var i = 0; i < 15; i++) {
|
||
dphi = (ml + e1 * Math.sin(2.0 * phi) - e2 * Math.sin(4.0 * phi) + e3 * Math.sin(6.0 * phi))/ e0 - phi;
|
||
phi += dphi;
|
||
if (Math.abs(dphi) <= .0000000001) {
|
||
return phi;
|
||
}
|
||
}
|
||
Proj4js.reportError("PHI3Z-CONV:Latitude failed to converge after 15 iterations");
|
||
return null;
|
||
}
|
||
|
||
|
||
};
|
||
/* ======================================================================
|
||
projCode/tmerc.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME TRANSVERSE MERCATOR
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the Transverse Mercator projection. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
|
||
U.S. Geological Survey Professional Paper 1453 , United State Government
|
||
Printing Office, Washington D.C., 1989.
|
||
*******************************************************************************/
|
||
|
||
|
||
/**
|
||
Initialize Transverse Mercator projection
|
||
*/
|
||
|
||
Proj4js.Proj.tmerc = {
|
||
init : function() {
|
||
this.e0 = Proj4js.common.e0fn(this.es);
|
||
this.e1 = Proj4js.common.e1fn(this.es);
|
||
this.e2 = Proj4js.common.e2fn(this.es);
|
||
this.e3 = Proj4js.common.e3fn(this.es);
|
||
this.ml0 = this.a * Proj4js.common.mlfn(this.e0, this.e1, this.e2, this.e3, this.lat0);
|
||
},
|
||
|
||
/**
|
||
Transverse Mercator Forward - long/lat to x/y
|
||
long/lat in radians
|
||
*/
|
||
forward : function(p) {
|
||
var lon = p.x;
|
||
var lat = p.y;
|
||
|
||
var delta_lon = Proj4js.common.adjust_lon(lon - this.long0); // Delta longitude
|
||
var con; // cone constant
|
||
var x, y;
|
||
var sin_phi=Math.sin(lat);
|
||
var cos_phi=Math.cos(lat);
|
||
|
||
if (this.sphere) { /* spherical form */
|
||
var b = cos_phi * Math.sin(delta_lon);
|
||
if ((Math.abs(Math.abs(b) - 1.0)) < .0000000001) {
|
||
Proj4js.reportError("tmerc:forward: Point projects into infinity");
|
||
return(93);
|
||
} else {
|
||
x = .5 * this.a * this.k0 * Math.log((1.0 + b)/(1.0 - b));
|
||
con = Math.acos(cos_phi * Math.cos(delta_lon)/Math.sqrt(1.0 - b*b));
|
||
if (lat < 0) con = - con;
|
||
y = this.a * this.k0 * (con - this.lat0);
|
||
}
|
||
} else {
|
||
var al = cos_phi * delta_lon;
|
||
var als = Math.pow(al,2);
|
||
var c = this.ep2 * Math.pow(cos_phi,2);
|
||
var tq = Math.tan(lat);
|
||
var t = Math.pow(tq,2);
|
||
con = 1.0 - this.es * Math.pow(sin_phi,2);
|
||
var n = this.a / Math.sqrt(con);
|
||
var ml = this.a * Proj4js.common.mlfn(this.e0, this.e1, this.e2, this.e3, lat);
|
||
|
||
x = this.k0 * n * al * (1.0 + als / 6.0 * (1.0 - t + c + als / 20.0 * (5.0 - 18.0 * t + Math.pow(t,2) + 72.0 * c - 58.0 * this.ep2))) + this.x0;
|
||
y = this.k0 * (ml - this.ml0 + n * tq * (als * (0.5 + als / 24.0 * (5.0 - t + 9.0 * c + 4.0 * Math.pow(c,2) + als / 30.0 * (61.0 - 58.0 * t + Math.pow(t,2) + 600.0 * c - 330.0 * this.ep2))))) + this.y0;
|
||
|
||
}
|
||
p.x = x; p.y = y;
|
||
return p;
|
||
}, // tmercFwd()
|
||
|
||
/**
|
||
Transverse Mercator Inverse - x/y to long/lat
|
||
*/
|
||
inverse : function(p) {
|
||
var con, phi; /* temporary angles */
|
||
var delta_phi; /* difference between longitudes */
|
||
var i;
|
||
var max_iter = 6; /* maximun number of iterations */
|
||
var lat, lon;
|
||
|
||
if (this.sphere) { /* spherical form */
|
||
var f = Math.exp(p.x/(this.a * this.k0));
|
||
var g = .5 * (f - 1/f);
|
||
var temp = this.lat0 + p.y/(this.a * this.k0);
|
||
var h = Math.cos(temp);
|
||
con = Math.sqrt((1.0 - h * h)/(1.0 + g * g));
|
||
lat = Proj4js.common.asinz(con);
|
||
if (temp < 0)
|
||
lat = -lat;
|
||
if ((g == 0) && (h == 0)) {
|
||
lon = this.long0;
|
||
} else {
|
||
lon = Proj4js.common.adjust_lon(Math.atan2(g,h) + this.long0);
|
||
}
|
||
} else { // ellipsoidal form
|
||
var x = p.x - this.x0;
|
||
var y = p.y - this.y0;
|
||
|
||
con = (this.ml0 + y / this.k0) / this.a;
|
||
phi = con;
|
||
for (i=0;true;i++) {
|
||
delta_phi=((con + this.e1 * Math.sin(2.0*phi) - this.e2 * Math.sin(4.0*phi) + this.e3 * Math.sin(6.0*phi)) / this.e0) - phi;
|
||
phi += delta_phi;
|
||
if (Math.abs(delta_phi) <= Proj4js.common.EPSLN) break;
|
||
if (i >= max_iter) {
|
||
Proj4js.reportError("tmerc:inverse: Latitude failed to converge");
|
||
return(95);
|
||
}
|
||
} // for()
|
||
if (Math.abs(phi) < Proj4js.common.HALF_PI) {
|
||
// sincos(phi, &sin_phi, &cos_phi);
|
||
var sin_phi=Math.sin(phi);
|
||
var cos_phi=Math.cos(phi);
|
||
var tan_phi = Math.tan(phi);
|
||
var c = this.ep2 * Math.pow(cos_phi,2);
|
||
var cs = Math.pow(c,2);
|
||
var t = Math.pow(tan_phi,2);
|
||
var ts = Math.pow(t,2);
|
||
con = 1.0 - this.es * Math.pow(sin_phi,2);
|
||
var n = this.a / Math.sqrt(con);
|
||
var r = n * (1.0 - this.es) / con;
|
||
var d = x / (n * this.k0);
|
||
var ds = Math.pow(d,2);
|
||
lat = phi - (n * tan_phi * ds / r) * (0.5 - ds / 24.0 * (5.0 + 3.0 * t + 10.0 * c - 4.0 * cs - 9.0 * this.ep2 - ds / 30.0 * (61.0 + 90.0 * t + 298.0 * c + 45.0 * ts - 252.0 * this.ep2 - 3.0 * cs)));
|
||
lon = Proj4js.common.adjust_lon(this.long0 + (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 * this.ep2 + 24.0 * ts))) / cos_phi));
|
||
} else {
|
||
lat = Proj4js.common.HALF_PI * Proj4js.common.sign(y);
|
||
lon = this.long0;
|
||
}
|
||
}
|
||
p.x = lon;
|
||
p.y = lat;
|
||
return p;
|
||
} // tmercInv()
|
||
};
|
||
/* ======================================================================
|
||
defs/GOOGLE.js
|
||
====================================================================== */
|
||
|
||
Proj4js.defs["GOOGLE"]="+proj=merc +a=6378137 +b=6378137 +lat_ts=0.0 +lon_0=0.0 +x_0=0.0 +y_0=0 +k=1.0 +units=m +nadgrids=@null +no_defs";
|
||
Proj4js.defs["EPSG:900913"]=Proj4js.defs["GOOGLE"];
|
||
/* ======================================================================
|
||
projCode/gstmerc.js
|
||
====================================================================== */
|
||
|
||
Proj4js.Proj.gstmerc = {
|
||
init : function() {
|
||
|
||
// array of: a, b, lon0, lat0, k0, x0, y0
|
||
var temp= this.b / this.a;
|
||
this.e= Math.sqrt(1.0 - temp*temp);
|
||
this.lc= this.long0;
|
||
this.rs= Math.sqrt(1.0+this.e*this.e*Math.pow(Math.cos(this.lat0),4.0)/(1.0-this.e*this.e));
|
||
var sinz= Math.sin(this.lat0);
|
||
var pc= Math.asin(sinz/this.rs);
|
||
var sinzpc= Math.sin(pc);
|
||
this.cp= Proj4js.common.latiso(0.0,pc,sinzpc)-this.rs*Proj4js.common.latiso(this.e,this.lat0,sinz);
|
||
this.n2= this.k0*this.a*Math.sqrt(1.0-this.e*this.e)/(1.0-this.e*this.e*sinz*sinz);
|
||
this.xs= this.x0;
|
||
this.ys= this.y0-this.n2*pc;
|
||
|
||
if (!this.title) this.title = "Gauss Schreiber transverse mercator";
|
||
},
|
||
|
||
|
||
// forward equations--mapping lat,long to x,y
|
||
// -----------------------------------------------------------------
|
||
forward : function(p) {
|
||
|
||
var lon= p.x;
|
||
var lat= p.y;
|
||
|
||
var L= this.rs*(lon-this.lc);
|
||
var Ls= this.cp+(this.rs*Proj4js.common.latiso(this.e,lat,Math.sin(lat)));
|
||
var lat1= Math.asin(Math.sin(L)/Proj4js.common.cosh(Ls));
|
||
var Ls1= Proj4js.common.latiso(0.0,lat1,Math.sin(lat1));
|
||
p.x= this.xs+(this.n2*Ls1);
|
||
p.y= this.ys+(this.n2*Math.atan(Proj4js.common.sinh(Ls)/Math.cos(L)));
|
||
return p;
|
||
},
|
||
|
||
// inverse equations--mapping x,y to lat/long
|
||
// -----------------------------------------------------------------
|
||
inverse : function(p) {
|
||
|
||
var x= p.x;
|
||
var y= p.y;
|
||
|
||
var L= Math.atan(Proj4js.common.sinh((x-this.xs)/this.n2)/Math.cos((y-this.ys)/this.n2));
|
||
var lat1= Math.asin(Math.sin((y-this.ys)/this.n2)/Proj4js.common.cosh((x-this.xs)/this.n2));
|
||
var LC= Proj4js.common.latiso(0.0,lat1,Math.sin(lat1));
|
||
p.x= this.lc+L/this.rs;
|
||
p.y= Proj4js.common.invlatiso(this.e,(LC-this.cp)/this.rs);
|
||
return p;
|
||
}
|
||
|
||
};
|
||
/* ======================================================================
|
||
projCode/ortho.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME ORTHOGRAPHIC
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the Orthographic projection. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
|
||
PROGRAMMER DATE
|
||
---------- ----
|
||
T. Mittan Mar, 1993
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
|
||
U.S. Geological Survey Professional Paper 1453 , United State Government
|
||
Printing Office, Washington D.C., 1989.
|
||
*******************************************************************************/
|
||
|
||
Proj4js.Proj.ortho = {
|
||
|
||
/* Initialize the Orthographic projection
|
||
-------------------------------------*/
|
||
init: function(def) {
|
||
//double temp; /* temporary variable */
|
||
|
||
/* Place parameters in static storage for common use
|
||
-------------------------------------------------*/;
|
||
this.sin_p14=Math.sin(this.lat0);
|
||
this.cos_p14=Math.cos(this.lat0);
|
||
},
|
||
|
||
|
||
/* Orthographic forward equations--mapping lat,long to x,y
|
||
---------------------------------------------------*/
|
||
forward: function(p) {
|
||
var sinphi, cosphi; /* sin and cos value */
|
||
var dlon; /* delta longitude value */
|
||
var coslon; /* cos of longitude */
|
||
var ksp; /* scale factor */
|
||
var g;
|
||
var lon=p.x;
|
||
var lat=p.y;
|
||
/* Forward equations
|
||
-----------------*/
|
||
dlon = Proj4js.common.adjust_lon(lon - this.long0);
|
||
|
||
sinphi=Math.sin(lat);
|
||
cosphi=Math.cos(lat);
|
||
|
||
coslon = Math.cos(dlon);
|
||
g = this.sin_p14 * sinphi + this.cos_p14 * cosphi * coslon;
|
||
ksp = 1.0;
|
||
if ((g > 0) || (Math.abs(g) <= Proj4js.common.EPSLN)) {
|
||
var x = this.a * ksp * cosphi * Math.sin(dlon);
|
||
var y = this.y0 + this.a * ksp * (this.cos_p14 * sinphi - this.sin_p14 * cosphi * coslon);
|
||
} else {
|
||
Proj4js.reportError("orthoFwdPointError");
|
||
}
|
||
p.x=x;
|
||
p.y=y;
|
||
return p;
|
||
},
|
||
|
||
|
||
inverse: function(p) {
|
||
var rh; /* height above ellipsoid */
|
||
var z; /* angle */
|
||
var sinz,cosz; /* sin of z and cos of z */
|
||
var temp;
|
||
var con;
|
||
var lon , lat;
|
||
/* Inverse equations
|
||
-----------------*/
|
||
p.x -= this.x0;
|
||
p.y -= this.y0;
|
||
rh = Math.sqrt(p.x * p.x + p.y * p.y);
|
||
if (rh > this.a + .0000001) {
|
||
Proj4js.reportError("orthoInvDataError");
|
||
}
|
||
z = Proj4js.common.asinz(rh / this.a);
|
||
|
||
sinz=Math.sin(z);
|
||
cosz=Math.cos(z);
|
||
|
||
lon = this.long0;
|
||
if (Math.abs(rh) <= Proj4js.common.EPSLN) {
|
||
lat = this.lat0;
|
||
}
|
||
lat = Proj4js.common.asinz(cosz * this.sin_p14 + (p.y * sinz * this.cos_p14)/rh);
|
||
con = Math.abs(this.lat0) - Proj4js.common.HALF_PI;
|
||
if (Math.abs(con) <= Proj4js.common.EPSLN) {
|
||
if (this.lat0 >= 0) {
|
||
lon = Proj4js.common.adjust_lon(this.long0 + Math.atan2(p.x, -p.y));
|
||
} else {
|
||
lon = Proj4js.common.adjust_lon(this.long0 -Math.atan2(-p.x, p.y));
|
||
}
|
||
}
|
||
con = cosz - this.sin_p14 * Math.sin(lat);
|
||
p.x=lon;
|
||
p.y=lat;
|
||
return p;
|
||
}
|
||
};
|
||
|
||
|
||
/* ======================================================================
|
||
projCode/krovak.js
|
||
====================================================================== */
|
||
|
||
/**
|
||
NOTES: According to EPSG the full Krovak projection method should have
|
||
the following parameters. Within PROJ.4 the azimuth, and pseudo
|
||
standard parallel are hardcoded in the algorithm and can't be
|
||
altered from outside. The others all have defaults to match the
|
||
common usage with Krovak projection.
|
||
|
||
lat_0 = latitude of centre of the projection
|
||
|
||
lon_0 = longitude of centre of the projection
|
||
|
||
** = azimuth (true) of the centre line passing through the centre of the projection
|
||
|
||
** = latitude of pseudo standard parallel
|
||
|
||
k = scale factor on the pseudo standard parallel
|
||
|
||
x_0 = False Easting of the centre of the projection at the apex of the cone
|
||
|
||
y_0 = False Northing of the centre of the projection at the apex of the cone
|
||
|
||
**/
|
||
|
||
Proj4js.Proj.krovak = {
|
||
|
||
init: function() {
|
||
/* we want Bessel as fixed ellipsoid */
|
||
this.a = 6377397.155;
|
||
this.es = 0.006674372230614;
|
||
this.e = Math.sqrt(this.es);
|
||
/* if latitude of projection center is not set, use 49d30'N */
|
||
if (!this.lat0) {
|
||
this.lat0 = 0.863937979737193;
|
||
}
|
||
if (!this.long0) {
|
||
this.long0 = 0.7417649320975901 - 0.308341501185665;
|
||
}
|
||
/* if scale not set default to 0.9999 */
|
||
if (!this.k0) {
|
||
this.k0 = 0.9999;
|
||
}
|
||
this.s45 = 0.785398163397448; /* 45<34> */
|
||
this.s90 = 2 * this.s45;
|
||
this.fi0 = this.lat0; /* Latitude of projection centre 49<34> 30' */
|
||
/* Ellipsoid Bessel 1841 a = 6377397.155m 1/f = 299.1528128,
|
||
e2=0.006674372230614;
|
||
*/
|
||
this.e2 = this.es; /* 0.006674372230614; */
|
||
this.e = Math.sqrt(this.e2);
|
||
this.alfa = Math.sqrt(1. + (this.e2 * Math.pow(Math.cos(this.fi0), 4)) / (1. - this.e2));
|
||
this.uq = 1.04216856380474; /* DU(2, 59, 42, 42.69689) */
|
||
this.u0 = Math.asin(Math.sin(this.fi0) / this.alfa);
|
||
this.g = Math.pow( (1. + this.e * Math.sin(this.fi0)) / (1. - this.e * Math.sin(this.fi0)) , this.alfa * this.e / 2. );
|
||
this.k = Math.tan( this.u0 / 2. + this.s45) / Math.pow (Math.tan(this.fi0 / 2. + this.s45) , this.alfa) * this.g;
|
||
this.k1 = this.k0;
|
||
this.n0 = this.a * Math.sqrt(1. - this.e2) / (1. - this.e2 * Math.pow(Math.sin(this.fi0), 2));
|
||
this.s0 = 1.37008346281555; /* Latitude of pseudo standard parallel 78<37> 30'00" N */
|
||
this.n = Math.sin(this.s0);
|
||
this.ro0 = this.k1 * this.n0 / Math.tan(this.s0);
|
||
this.ad = this.s90 - this.uq;
|
||
},
|
||
|
||
/* ellipsoid */
|
||
/* calculate xy from lat/lon */
|
||
/* Constants, identical to inverse transform function */
|
||
forward: function(p) {
|
||
var gfi, u, deltav, s, d, eps, ro;
|
||
var lon = p.x;
|
||
var lat = p.y;
|
||
var delta_lon = Proj4js.common.adjust_lon(lon - this.long0); // Delta longitude
|
||
/* Transformation */
|
||
gfi = Math.pow ( ((1. + this.e * Math.sin(lat)) / (1. - this.e * Math.sin(lat))) , (this.alfa * this.e / 2.));
|
||
u= 2. * (Math.atan(this.k * Math.pow( Math.tan(lat / 2. + this.s45), this.alfa) / gfi)-this.s45);
|
||
deltav = - delta_lon * this.alfa;
|
||
s = Math.asin(Math.cos(this.ad) * Math.sin(u) + Math.sin(this.ad) * Math.cos(u) * Math.cos(deltav));
|
||
d = Math.asin(Math.cos(u) * Math.sin(deltav) / Math.cos(s));
|
||
eps = this.n * d;
|
||
ro = this.ro0 * Math.pow(Math.tan(this.s0 / 2. + this.s45) , this.n) / Math.pow(Math.tan(s / 2. + this.s45) , this.n);
|
||
/* x and y are reverted! */
|
||
//p.y = ro * Math.cos(eps) / a;
|
||
//p.x = ro * Math.sin(eps) / a;
|
||
p.y = ro * Math.cos(eps) / 1.0;
|
||
p.x = ro * Math.sin(eps) / 1.0;
|
||
|
||
if(this.czech) {
|
||
p.y *= -1.0;
|
||
p.x *= -1.0;
|
||
}
|
||
return (p);
|
||
},
|
||
|
||
/* calculate lat/lon from xy */
|
||
inverse: function(p) {
|
||
/* Constants, identisch wie in der Umkehrfunktion */
|
||
var u, deltav, s, d, eps, ro, fi1;
|
||
var ok;
|
||
|
||
/* Transformation */
|
||
/* revert y, x*/
|
||
var tmp = p.x;
|
||
p.x=p.y;
|
||
p.y=tmp;
|
||
if(this.czech) {
|
||
p.y *= -1.0;
|
||
p.x *= -1.0;
|
||
}
|
||
ro = Math.sqrt(p.x * p.x + p.y * p.y);
|
||
eps = Math.atan2(p.y, p.x);
|
||
d = eps / Math.sin(this.s0);
|
||
s = 2. * (Math.atan( Math.pow(this.ro0 / ro, 1. / this.n) * Math.tan(this.s0 / 2. + this.s45)) - this.s45);
|
||
u = Math.asin(Math.cos(this.ad) * Math.sin(s) - Math.sin(this.ad) * Math.cos(s) * Math.cos(d));
|
||
deltav = Math.asin(Math.cos(s) * Math.sin(d) / Math.cos(u));
|
||
p.x = this.long0 - deltav / this.alfa;
|
||
/* ITERATION FOR lat */
|
||
fi1 = u;
|
||
ok = 0;
|
||
var iter = 0;
|
||
do {
|
||
p.y = 2. * ( Math.atan( Math.pow( this.k, -1. / this.alfa) *
|
||
Math.pow( Math.tan(u / 2. + this.s45) , 1. / this.alfa) *
|
||
Math.pow( (1. + this.e * Math.sin(fi1)) / (1. - this.e * Math.sin(fi1)) , this.e / 2.)
|
||
) - this.s45);
|
||
if (Math.abs(fi1 - p.y) < 0.0000000001) ok=1;
|
||
fi1 = p.y;
|
||
iter += 1;
|
||
} while (ok==0 && iter < 15);
|
||
if (iter >= 15) {
|
||
Proj4js.reportError("PHI3Z-CONV:Latitude failed to converge after 15 iterations");
|
||
//console.log('iter:', iter);
|
||
return null;
|
||
}
|
||
|
||
return (p);
|
||
}
|
||
};
|
||
/* ======================================================================
|
||
projCode/somerc.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME SWISS OBLIQUE MERCATOR
|
||
|
||
PURPOSE: Swiss projection.
|
||
WARNING: X and Y are inverted (weird) in the swiss coordinate system. Not
|
||
here, since we want X to be horizontal and Y vertical.
|
||
|
||
ALGORITHM REFERENCES
|
||
1. "Formules et constantes pour le Calcul pour la
|
||
projection cylindrique conforme à axe oblique et pour la transformation entre
|
||
des systèmes de référence".
|
||
http://www.swisstopo.admin.ch/internet/swisstopo/fr/home/topics/survey/sys/refsys/switzerland.parsysrelated1.31216.downloadList.77004.DownloadFile.tmp/swissprojectionfr.pdf
|
||
|
||
*******************************************************************************/
|
||
|
||
Proj4js.Proj.somerc = {
|
||
|
||
init: function() {
|
||
var phy0 = this.lat0;
|
||
this.lambda0 = this.long0;
|
||
var sinPhy0 = Math.sin(phy0);
|
||
var semiMajorAxis = this.a;
|
||
var invF = this.rf;
|
||
var flattening = 1 / invF;
|
||
var e2 = 2 * flattening - Math.pow(flattening, 2);
|
||
var e = this.e = Math.sqrt(e2);
|
||
this.R = this.k0 * semiMajorAxis * Math.sqrt(1 - e2) / (1 - e2 * Math.pow(sinPhy0, 2.0));
|
||
this.alpha = Math.sqrt(1 + e2 / (1 - e2) * Math.pow(Math.cos(phy0), 4.0));
|
||
this.b0 = Math.asin(sinPhy0 / this.alpha);
|
||
this.K = Math.log(Math.tan(Math.PI / 4.0 + this.b0 / 2.0))
|
||
- this.alpha
|
||
* Math.log(Math.tan(Math.PI / 4.0 + phy0 / 2.0))
|
||
+ this.alpha
|
||
* e / 2
|
||
* Math.log((1 + e * sinPhy0)
|
||
/ (1 - e * sinPhy0));
|
||
},
|
||
|
||
|
||
forward: function(p) {
|
||
var Sa1 = Math.log(Math.tan(Math.PI / 4.0 - p.y / 2.0));
|
||
var Sa2 = this.e / 2.0
|
||
* Math.log((1 + this.e * Math.sin(p.y))
|
||
/ (1 - this.e * Math.sin(p.y)));
|
||
var S = -this.alpha * (Sa1 + Sa2) + this.K;
|
||
|
||
// spheric latitude
|
||
var b = 2.0 * (Math.atan(Math.exp(S)) - Math.PI / 4.0);
|
||
|
||
// spheric longitude
|
||
var I = this.alpha * (p.x - this.lambda0);
|
||
|
||
// psoeudo equatorial rotation
|
||
var rotI = Math.atan(Math.sin(I)
|
||
/ (Math.sin(this.b0) * Math.tan(b) +
|
||
Math.cos(this.b0) * Math.cos(I)));
|
||
|
||
var rotB = Math.asin(Math.cos(this.b0) * Math.sin(b) -
|
||
Math.sin(this.b0) * Math.cos(b) * Math.cos(I));
|
||
|
||
p.y = this.R / 2.0
|
||
* Math.log((1 + Math.sin(rotB)) / (1 - Math.sin(rotB)))
|
||
+ this.y0;
|
||
p.x = this.R * rotI + this.x0;
|
||
return p;
|
||
},
|
||
|
||
inverse: function(p) {
|
||
var Y = p.x - this.x0;
|
||
var X = p.y - this.y0;
|
||
|
||
var rotI = Y / this.R;
|
||
var rotB = 2 * (Math.atan(Math.exp(X / this.R)) - Math.PI / 4.0);
|
||
|
||
var b = Math.asin(Math.cos(this.b0) * Math.sin(rotB)
|
||
+ Math.sin(this.b0) * Math.cos(rotB) * Math.cos(rotI));
|
||
var I = Math.atan(Math.sin(rotI)
|
||
/ (Math.cos(this.b0) * Math.cos(rotI) - Math.sin(this.b0)
|
||
* Math.tan(rotB)));
|
||
|
||
var lambda = this.lambda0 + I / this.alpha;
|
||
|
||
var S = 0.0;
|
||
var phy = b;
|
||
var prevPhy = -1000.0;
|
||
var iteration = 0;
|
||
while (Math.abs(phy - prevPhy) > 0.0000001)
|
||
{
|
||
if (++iteration > 20)
|
||
{
|
||
Proj4js.reportError("omercFwdInfinity");
|
||
return;
|
||
}
|
||
//S = Math.log(Math.tan(Math.PI / 4.0 + phy / 2.0));
|
||
S = 1.0
|
||
/ this.alpha
|
||
* (Math.log(Math.tan(Math.PI / 4.0 + b / 2.0)) - this.K)
|
||
+ this.e
|
||
* Math.log(Math.tan(Math.PI / 4.0
|
||
+ Math.asin(this.e * Math.sin(phy))
|
||
/ 2.0));
|
||
prevPhy = phy;
|
||
phy = 2.0 * Math.atan(Math.exp(S)) - Math.PI / 2.0;
|
||
}
|
||
|
||
p.x = lambda;
|
||
p.y = phy;
|
||
return p;
|
||
}
|
||
};
|
||
/* ======================================================================
|
||
projCode/stere.js
|
||
====================================================================== */
|
||
|
||
|
||
// Initialize the Stereographic projection
|
||
|
||
Proj4js.Proj.stere = {
|
||
ssfn_: function(phit, sinphi, eccen) {
|
||
sinphi *= eccen;
|
||
return (Math.tan (.5 * (Proj4js.common.HALF_PI + phit)) * Math.pow((1. - sinphi) / (1. + sinphi), .5 * eccen));
|
||
},
|
||
TOL: 1.e-8,
|
||
NITER: 8,
|
||
CONV: 1.e-10,
|
||
S_POLE: 0,
|
||
N_POLE: 1,
|
||
OBLIQ: 2,
|
||
EQUIT: 3,
|
||
|
||
init: function() {
|
||
this.phits = this.lat_ts ? this.lat_ts : Proj4js.common.HALF_PI;
|
||
var t = Math.abs(this.lat0);
|
||
if ((Math.abs(t) - Proj4js.common.HALF_PI) < Proj4js.common.EPSLN) {
|
||
this.mode = this.lat0 < 0. ? this.S_POLE : this.N_POLE;
|
||
} else {
|
||
this.mode = t > Proj4js.common.EPSLN ? this.OBLIQ : this.EQUIT;
|
||
}
|
||
this.phits = Math.abs(this.phits);
|
||
if (this.es) {
|
||
var X;
|
||
|
||
switch (this.mode) {
|
||
case this.N_POLE:
|
||
case this.S_POLE:
|
||
if (Math.abs(this.phits - Proj4js.common.HALF_PI) < Proj4js.common.EPSLN) {
|
||
this.akm1 = 2. * this.k0 / Math.sqrt(Math.pow(1+this.e,1+this.e)*Math.pow(1-this.e,1-this.e));
|
||
} else {
|
||
t = Math.sin(this.phits);
|
||
this.akm1 = Math.cos(this.phits) / Proj4js.common.tsfnz(this.e, this.phits, t);
|
||
t *= this.e;
|
||
this.akm1 /= Math.sqrt(1. - t * t);
|
||
}
|
||
break;
|
||
case this.EQUIT:
|
||
this.akm1 = 2. * this.k0;
|
||
break;
|
||
case this.OBLIQ:
|
||
t = Math.sin(this.lat0);
|
||
X = 2. * Math.atan(this.ssfn_(this.lat0, t, this.e)) - Proj4js.common.HALF_PI;
|
||
t *= this.e;
|
||
this.akm1 = 2. * this.k0 * Math.cos(this.lat0) / Math.sqrt(1. - t * t);
|
||
this.sinX1 = Math.sin(X);
|
||
this.cosX1 = Math.cos(X);
|
||
break;
|
||
}
|
||
} else {
|
||
switch (this.mode) {
|
||
case this.OBLIQ:
|
||
this.sinph0 = Math.sin(this.lat0);
|
||
this.cosph0 = Math.cos(this.lat0);
|
||
case this.EQUIT:
|
||
this.akm1 = 2. * this.k0;
|
||
break;
|
||
case this.S_POLE:
|
||
case this.N_POLE:
|
||
this.akm1 = Math.abs(this.phits - Proj4js.common.HALF_PI) >= Proj4js.common.EPSLN ?
|
||
Math.cos(this.phits) / Math.tan(Proj4js.common.FORTPI - .5 * this.phits) :
|
||
2. * this.k0 ;
|
||
break;
|
||
}
|
||
}
|
||
},
|
||
|
||
// Stereographic forward equations--mapping lat,long to x,y
|
||
forward: function(p) {
|
||
var lon = p.x;
|
||
lon = Proj4js.common.adjust_lon(lon - this.long0);
|
||
var lat = p.y;
|
||
var x, y;
|
||
|
||
if (this.sphere) {
|
||
var sinphi, cosphi, coslam, sinlam;
|
||
|
||
sinphi = Math.sin(lat);
|
||
cosphi = Math.cos(lat);
|
||
coslam = Math.cos(lon);
|
||
sinlam = Math.sin(lon);
|
||
switch (this.mode) {
|
||
case this.EQUIT:
|
||
y = 1. + cosphi * coslam;
|
||
if (y <= Proj4js.common.EPSLN) {
|
||
Proj4js.reportError("stere:forward:Equit");
|
||
}
|
||
y = this.akm1 / y;
|
||
x = y * cosphi * sinlam;
|
||
y *= sinphi;
|
||
break;
|
||
case this.OBLIQ:
|
||
y = 1. + this.sinph0 * sinphi + this.cosph0 * cosphi * coslam;
|
||
if (y <= Proj4js.common.EPSLN) {
|
||
Proj4js.reportError("stere:forward:Obliq");
|
||
}
|
||
y = this.akm1 / y;
|
||
x = y * cosphi * sinlam;
|
||
y *= this.cosph0 * sinphi - this.sinph0 * cosphi * coslam;
|
||
break;
|
||
case this.N_POLE:
|
||
coslam = -coslam;
|
||
lat = -lat;
|
||
//Note no break here so it conitnues through S_POLE
|
||
case this.S_POLE:
|
||
if (Math.abs(lat - Proj4js.common.HALF_PI) < this.TOL) {
|
||
Proj4js.reportError("stere:forward:S_POLE");
|
||
}
|
||
y = this.akm1 * Math.tan(Proj4js.common.FORTPI + .5 * lat);
|
||
x = sinlam * y;
|
||
y *= coslam;
|
||
break;
|
||
}
|
||
} else {
|
||
coslam = Math.cos(lon);
|
||
sinlam = Math.sin(lon);
|
||
sinphi = Math.sin(lat);
|
||
var sinX, cosX;
|
||
if (this.mode == this.OBLIQ || this.mode == this.EQUIT) {
|
||
var Xt = 2. * Math.atan(this.ssfn_(lat, sinphi, this.e));
|
||
sinX = Math.sin(Xt - Proj4js.common.HALF_PI);
|
||
cosX = Math.cos(Xt);
|
||
}
|
||
switch (this.mode) {
|
||
case this.OBLIQ:
|
||
var A = this.akm1 / (this.cosX1 * (1. + this.sinX1 * sinX + this.cosX1 * cosX * coslam));
|
||
y = A * (this.cosX1 * sinX - this.sinX1 * cosX * coslam);
|
||
x = A * cosX;
|
||
break;
|
||
case this.EQUIT:
|
||
var A = 2. * this.akm1 / (1. + cosX * coslam);
|
||
y = A * sinX;
|
||
x = A * cosX;
|
||
break;
|
||
case this.S_POLE:
|
||
lat = -lat;
|
||
coslam = - coslam;
|
||
sinphi = -sinphi;
|
||
case this.N_POLE:
|
||
x = this.akm1 * Proj4js.common.tsfnz(this.e, lat, sinphi);
|
||
y = - x * coslam;
|
||
break;
|
||
}
|
||
x = x * sinlam;
|
||
}
|
||
p.x = x*this.a + this.x0;
|
||
p.y = y*this.a + this.y0;
|
||
return p;
|
||
},
|
||
|
||
|
||
//* Stereographic inverse equations--mapping x,y to lat/long
|
||
inverse: function(p) {
|
||
var x = (p.x - this.x0)/this.a; /* descale and de-offset */
|
||
var y = (p.y - this.y0)/this.a;
|
||
var lon, lat;
|
||
|
||
var cosphi, sinphi, tp=0.0, phi_l=0.0, rho, halfe=0.0, pi2=0.0;
|
||
var i;
|
||
|
||
if (this.sphere) {
|
||
var c, rh, sinc, cosc;
|
||
|
||
rh = Math.sqrt(x*x + y*y);
|
||
c = 2. * Math.atan(rh / this.akm1);
|
||
sinc = Math.sin(c);
|
||
cosc = Math.cos(c);
|
||
lon = 0.;
|
||
switch (this.mode) {
|
||
case this.EQUIT:
|
||
if (Math.abs(rh) <= Proj4js.common.EPSLN) {
|
||
lat = 0.;
|
||
} else {
|
||
lat = Math.asin(y * sinc / rh);
|
||
}
|
||
if (cosc != 0. || x != 0.) lon = Math.atan2(x * sinc, cosc * rh);
|
||
break;
|
||
case this.OBLIQ:
|
||
if (Math.abs(rh) <= Proj4js.common.EPSLN) {
|
||
lat = this.phi0;
|
||
} else {
|
||
lat = Math.asin(cosc * this.sinph0 + y * sinc * this.cosph0 / rh);
|
||
}
|
||
c = cosc - this.sinph0 * Math.sin(lat);
|
||
if (c != 0. || x != 0.) {
|
||
lon = Math.atan2(x * sinc * this.cosph0, c * rh);
|
||
}
|
||
break;
|
||
case this.N_POLE:
|
||
y = -y;
|
||
case this.S_POLE:
|
||
if (Math.abs(rh) <= Proj4js.common.EPSLN) {
|
||
lat = this.phi0;
|
||
} else {
|
||
lat = Math.asin(this.mode == this.S_POLE ? -cosc : cosc);
|
||
}
|
||
lon = (x == 0. && y == 0.) ? 0. : Math.atan2(x, y);
|
||
break;
|
||
}
|
||
p.x = Proj4js.common.adjust_lon(lon + this.long0);
|
||
p.y = lat;
|
||
} else {
|
||
rho = Math.sqrt(x*x + y*y);
|
||
switch (this.mode) {
|
||
case this.OBLIQ:
|
||
case this.EQUIT:
|
||
tp = 2. * Math.atan2(rho * this.cosX1 , this.akm1);
|
||
cosphi = Math.cos(tp);
|
||
sinphi = Math.sin(tp);
|
||
if( rho == 0.0 ) {
|
||
phi_l = Math.asin(cosphi * this.sinX1);
|
||
} else {
|
||
phi_l = Math.asin(cosphi * this.sinX1 + (y * sinphi * this.cosX1 / rho));
|
||
}
|
||
|
||
tp = Math.tan(.5 * (Proj4js.common.HALF_PI + phi_l));
|
||
x *= sinphi;
|
||
y = rho * this.cosX1 * cosphi - y * this.sinX1* sinphi;
|
||
pi2 = Proj4js.common.HALF_PI;
|
||
halfe = .5 * this.e;
|
||
break;
|
||
case this.N_POLE:
|
||
y = -y;
|
||
case this.S_POLE:
|
||
tp = - rho / this.akm1;
|
||
phi_l = Proj4js.common.HALF_PI - 2. * Math.atan(tp);
|
||
pi2 = -Proj4js.common.HALF_PI;
|
||
halfe = -.5 * this.e;
|
||
break;
|
||
}
|
||
for (i = this.NITER; i--; phi_l = lat) { //check this
|
||
sinphi = this.e * Math.sin(phi_l);
|
||
lat = 2. * Math.atan(tp * Math.pow((1.+sinphi)/(1.-sinphi), halfe)) - pi2;
|
||
if (Math.abs(phi_l - lat) < this.CONV) {
|
||
if (this.mode == this.S_POLE) lat = -lat;
|
||
lon = (x == 0. && y == 0.) ? 0. : Math.atan2(x, y);
|
||
p.x = Proj4js.common.adjust_lon(lon + this.long0);
|
||
p.y = lat;
|
||
return p;
|
||
}
|
||
}
|
||
}
|
||
}
|
||
};
|
||
/* ======================================================================
|
||
projCode/nzmg.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME NEW ZEALAND MAP GRID
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the New Zealand Map Grid projection. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Department of Land and Survey Technical Circular 1973/32
|
||
http://www.linz.govt.nz/docs/miscellaneous/nz-map-definition.pdf
|
||
|
||
2. OSG Technical Report 4.1
|
||
http://www.linz.govt.nz/docs/miscellaneous/nzmg.pdf
|
||
|
||
|
||
IMPLEMENTATION NOTES
|
||
|
||
The two references use different symbols for the calculated values. This
|
||
implementation uses the variable names similar to the symbols in reference [1].
|
||
|
||
The alogrithm uses different units for delta latitude and delta longitude.
|
||
The delta latitude is assumed to be in units of seconds of arc x 10^-5.
|
||
The delta longitude is the usual radians. Look out for these conversions.
|
||
|
||
The algorithm is described using complex arithmetic. There were three
|
||
options:
|
||
* find and use a Javascript library for complex arithmetic
|
||
* write my own complex library
|
||
* expand the complex arithmetic by hand to simple arithmetic
|
||
|
||
This implementation has expanded the complex multiplication operations
|
||
into parallel simple arithmetic operations for the real and imaginary parts.
|
||
The imaginary part is way over to the right of the display; this probably
|
||
violates every coding standard in the world, but, to me, it makes it much
|
||
more obvious what is going on.
|
||
|
||
The following complex operations are used:
|
||
- addition
|
||
- multiplication
|
||
- division
|
||
- complex number raised to integer power
|
||
- summation
|
||
|
||
A summary of complex arithmetic operations:
|
||
(from http://en.wikipedia.org/wiki/Complex_arithmetic)
|
||
addition: (a + bi) + (c + di) = (a + c) + (b + d)i
|
||
subtraction: (a + bi) - (c + di) = (a - c) + (b - d)i
|
||
multiplication: (a + bi) x (c + di) = (ac - bd) + (bc + ad)i
|
||
division: (a + bi) / (c + di) = [(ac + bd)/(cc + dd)] + [(bc - ad)/(cc + dd)]i
|
||
|
||
The algorithm needs to calculate summations of simple and complex numbers. This is
|
||
implemented using a for-loop, pre-loading the summed value to zero.
|
||
|
||
The algorithm needs to calculate theta^2, theta^3, etc while doing a summation.
|
||
There are three possible implementations:
|
||
- use Math.pow in the summation loop - except for complex numbers
|
||
- precalculate the values before running the loop
|
||
- calculate theta^n = theta^(n-1) * theta during the loop
|
||
This implementation uses the third option for both real and complex arithmetic.
|
||
|
||
For example
|
||
psi_n = 1;
|
||
sum = 0;
|
||
for (n = 1; n <=6; n++) {
|
||
psi_n1 = psi_n * psi; // calculate psi^(n+1)
|
||
psi_n = psi_n1;
|
||
sum = sum + A[n] * psi_n;
|
||
}
|
||
|
||
|
||
TEST VECTORS
|
||
|
||
NZMG E, N: 2487100.638 6751049.719 metres
|
||
NZGD49 long, lat: 172.739194 -34.444066 degrees
|
||
|
||
NZMG E, N: 2486533.395 6077263.661 metres
|
||
NZGD49 long, lat: 172.723106 -40.512409 degrees
|
||
|
||
NZMG E, N: 2216746.425 5388508.765 metres
|
||
NZGD49 long, lat: 169.172062 -46.651295 degrees
|
||
|
||
Note that these test vectors convert from NZMG metres to lat/long referenced
|
||
to NZGD49, not the more usual WGS84. The difference is about 70m N/S and about
|
||
10m E/W.
|
||
|
||
These test vectors are provided in reference [1]. Many more test
|
||
vectors are available in
|
||
http://www.linz.govt.nz/docs/topography/topographicdata/placenamesdatabase/nznamesmar08.zip
|
||
which is a catalog of names on the 260-series maps.
|
||
|
||
|
||
EPSG CODES
|
||
|
||
NZMG EPSG:27200
|
||
NZGD49 EPSG:4272
|
||
|
||
http://spatialreference.org/ defines these as
|
||
Proj4js.defs["EPSG:4272"] = "+proj=longlat +ellps=intl +datum=nzgd49 +no_defs ";
|
||
Proj4js.defs["EPSG:27200"] = "+proj=nzmg +lat_0=-41 +lon_0=173 +x_0=2510000 +y_0=6023150 +ellps=intl +datum=nzgd49 +units=m +no_defs ";
|
||
|
||
|
||
LICENSE
|
||
Copyright: Stephen Irons 2008
|
||
Released under terms of the LGPL as per: http://www.gnu.org/copyleft/lesser.html
|
||
|
||
*******************************************************************************/
|
||
|
||
|
||
/**
|
||
Initialize New Zealand Map Grip projection
|
||
*/
|
||
|
||
Proj4js.Proj.nzmg = {
|
||
|
||
/**
|
||
* iterations: Number of iterations to refine inverse transform.
|
||
* 0 -> km accuracy
|
||
* 1 -> m accuracy -- suitable for most mapping applications
|
||
* 2 -> mm accuracy
|
||
*/
|
||
iterations: 1,
|
||
|
||
init : function() {
|
||
this.A = new Array();
|
||
this.A[1] = +0.6399175073;
|
||
this.A[2] = -0.1358797613;
|
||
this.A[3] = +0.063294409;
|
||
this.A[4] = -0.02526853;
|
||
this.A[5] = +0.0117879;
|
||
this.A[6] = -0.0055161;
|
||
this.A[7] = +0.0026906;
|
||
this.A[8] = -0.001333;
|
||
this.A[9] = +0.00067;
|
||
this.A[10] = -0.00034;
|
||
|
||
this.B_re = new Array(); this.B_im = new Array();
|
||
this.B_re[1] = +0.7557853228; this.B_im[1] = 0.0;
|
||
this.B_re[2] = +0.249204646; this.B_im[2] = +0.003371507;
|
||
this.B_re[3] = -0.001541739; this.B_im[3] = +0.041058560;
|
||
this.B_re[4] = -0.10162907; this.B_im[4] = +0.01727609;
|
||
this.B_re[5] = -0.26623489; this.B_im[5] = -0.36249218;
|
||
this.B_re[6] = -0.6870983; this.B_im[6] = -1.1651967;
|
||
|
||
this.C_re = new Array(); this.C_im = new Array();
|
||
this.C_re[1] = +1.3231270439; this.C_im[1] = 0.0;
|
||
this.C_re[2] = -0.577245789; this.C_im[2] = -0.007809598;
|
||
this.C_re[3] = +0.508307513; this.C_im[3] = -0.112208952;
|
||
this.C_re[4] = -0.15094762; this.C_im[4] = +0.18200602;
|
||
this.C_re[5] = +1.01418179; this.C_im[5] = +1.64497696;
|
||
this.C_re[6] = +1.9660549; this.C_im[6] = +2.5127645;
|
||
|
||
this.D = new Array();
|
||
this.D[1] = +1.5627014243;
|
||
this.D[2] = +0.5185406398;
|
||
this.D[3] = -0.03333098;
|
||
this.D[4] = -0.1052906;
|
||
this.D[5] = -0.0368594;
|
||
this.D[6] = +0.007317;
|
||
this.D[7] = +0.01220;
|
||
this.D[8] = +0.00394;
|
||
this.D[9] = -0.0013;
|
||
},
|
||
|
||
/**
|
||
New Zealand Map Grid Forward - long/lat to x/y
|
||
long/lat in radians
|
||
*/
|
||
forward : function(p) {
|
||
var lon = p.x;
|
||
var lat = p.y;
|
||
|
||
var delta_lat = lat - this.lat0;
|
||
var delta_lon = lon - this.long0;
|
||
|
||
// 1. Calculate d_phi and d_psi ... // and d_lambda
|
||
// For this algorithm, delta_latitude is in seconds of arc x 10-5, so we need to scale to those units. Longitude is radians.
|
||
var d_phi = delta_lat / Proj4js.common.SEC_TO_RAD * 1E-5; var d_lambda = delta_lon;
|
||
var d_phi_n = 1; // d_phi^0
|
||
|
||
var d_psi = 0;
|
||
for (var n = 1; n <= 10; n++) {
|
||
d_phi_n = d_phi_n * d_phi;
|
||
d_psi = d_psi + this.A[n] * d_phi_n;
|
||
}
|
||
|
||
// 2. Calculate theta
|
||
var th_re = d_psi; var th_im = d_lambda;
|
||
|
||
// 3. Calculate z
|
||
var th_n_re = 1; var th_n_im = 0; // theta^0
|
||
var th_n_re1; var th_n_im1;
|
||
|
||
var z_re = 0; var z_im = 0;
|
||
for (var n = 1; n <= 6; n++) {
|
||
th_n_re1 = th_n_re*th_re - th_n_im*th_im; th_n_im1 = th_n_im*th_re + th_n_re*th_im;
|
||
th_n_re = th_n_re1; th_n_im = th_n_im1;
|
||
z_re = z_re + this.B_re[n]*th_n_re - this.B_im[n]*th_n_im; z_im = z_im + this.B_im[n]*th_n_re + this.B_re[n]*th_n_im;
|
||
}
|
||
|
||
// 4. Calculate easting and northing
|
||
p.x = (z_im * this.a) + this.x0;
|
||
p.y = (z_re * this.a) + this.y0;
|
||
|
||
return p;
|
||
},
|
||
|
||
|
||
/**
|
||
New Zealand Map Grid Inverse - x/y to long/lat
|
||
*/
|
||
inverse : function(p) {
|
||
|
||
var x = p.x;
|
||
var y = p.y;
|
||
|
||
var delta_x = x - this.x0;
|
||
var delta_y = y - this.y0;
|
||
|
||
// 1. Calculate z
|
||
var z_re = delta_y / this.a; var z_im = delta_x / this.a;
|
||
|
||
// 2a. Calculate theta - first approximation gives km accuracy
|
||
var z_n_re = 1; var z_n_im = 0; // z^0
|
||
var z_n_re1; var z_n_im1;
|
||
|
||
var th_re = 0; var th_im = 0;
|
||
for (var n = 1; n <= 6; n++) {
|
||
z_n_re1 = z_n_re*z_re - z_n_im*z_im; z_n_im1 = z_n_im*z_re + z_n_re*z_im;
|
||
z_n_re = z_n_re1; z_n_im = z_n_im1;
|
||
th_re = th_re + this.C_re[n]*z_n_re - this.C_im[n]*z_n_im; th_im = th_im + this.C_im[n]*z_n_re + this.C_re[n]*z_n_im;
|
||
}
|
||
|
||
// 2b. Iterate to refine the accuracy of the calculation
|
||
// 0 iterations gives km accuracy
|
||
// 1 iteration gives m accuracy -- good enough for most mapping applications
|
||
// 2 iterations bives mm accuracy
|
||
for (var i = 0; i < this.iterations; i++) {
|
||
var th_n_re = th_re; var th_n_im = th_im;
|
||
var th_n_re1; var th_n_im1;
|
||
|
||
var num_re = z_re; var num_im = z_im;
|
||
for (var n = 2; n <= 6; n++) {
|
||
th_n_re1 = th_n_re*th_re - th_n_im*th_im; th_n_im1 = th_n_im*th_re + th_n_re*th_im;
|
||
th_n_re = th_n_re1; th_n_im = th_n_im1;
|
||
num_re = num_re + (n-1)*(this.B_re[n]*th_n_re - this.B_im[n]*th_n_im); num_im = num_im + (n-1)*(this.B_im[n]*th_n_re + this.B_re[n]*th_n_im);
|
||
}
|
||
|
||
th_n_re = 1; th_n_im = 0;
|
||
var den_re = this.B_re[1]; var den_im = this.B_im[1];
|
||
for (var n = 2; n <= 6; n++) {
|
||
th_n_re1 = th_n_re*th_re - th_n_im*th_im; th_n_im1 = th_n_im*th_re + th_n_re*th_im;
|
||
th_n_re = th_n_re1; th_n_im = th_n_im1;
|
||
den_re = den_re + n * (this.B_re[n]*th_n_re - this.B_im[n]*th_n_im); den_im = den_im + n * (this.B_im[n]*th_n_re + this.B_re[n]*th_n_im);
|
||
}
|
||
|
||
// Complex division
|
||
var den2 = den_re*den_re + den_im*den_im;
|
||
th_re = (num_re*den_re + num_im*den_im) / den2; th_im = (num_im*den_re - num_re*den_im) / den2;
|
||
}
|
||
|
||
// 3. Calculate d_phi ... // and d_lambda
|
||
var d_psi = th_re; var d_lambda = th_im;
|
||
var d_psi_n = 1; // d_psi^0
|
||
|
||
var d_phi = 0;
|
||
for (var n = 1; n <= 9; n++) {
|
||
d_psi_n = d_psi_n * d_psi;
|
||
d_phi = d_phi + this.D[n] * d_psi_n;
|
||
}
|
||
|
||
// 4. Calculate latitude and longitude
|
||
// d_phi is calcuated in second of arc * 10^-5, so we need to scale back to radians. d_lambda is in radians.
|
||
var lat = this.lat0 + (d_phi * Proj4js.common.SEC_TO_RAD * 1E5);
|
||
var lon = this.long0 + d_lambda;
|
||
|
||
p.x = lon;
|
||
p.y = lat;
|
||
|
||
return p;
|
||
}
|
||
};
|
||
/* ======================================================================
|
||
projCode/mill.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME MILLER CYLINDRICAL
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the Miller Cylindrical projection. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
|
||
PROGRAMMER DATE
|
||
---------- ----
|
||
T. Mittan March, 1993
|
||
|
||
This function was adapted from the Lambert Azimuthal Equal Area projection
|
||
code (FORTRAN) in the General Cartographic Transformation Package software
|
||
which is available from the U.S. Geological Survey National Mapping Division.
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. "New Equal-Area Map Projections for Noncircular Regions", John P. Snyder,
|
||
The American Cartographer, Vol 15, No. 4, October 1988, pp. 341-355.
|
||
|
||
2. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
3. "Software Documentation for GCTP General Cartographic Transformation
|
||
Package", U.S. Geological Survey National Mapping Division, May 1982.
|
||
*******************************************************************************/
|
||
|
||
Proj4js.Proj.mill = {
|
||
|
||
/* Initialize the Miller Cylindrical projection
|
||
-------------------------------------------*/
|
||
init: function() {
|
||
//no-op
|
||
},
|
||
|
||
|
||
/* Miller Cylindrical forward equations--mapping lat,long to x,y
|
||
------------------------------------------------------------*/
|
||
forward: function(p) {
|
||
var lon=p.x;
|
||
var lat=p.y;
|
||
/* Forward equations
|
||
-----------------*/
|
||
var dlon = Proj4js.common.adjust_lon(lon -this.long0);
|
||
var x = this.x0 + this.a * dlon;
|
||
var y = this.y0 + this.a * Math.log(Math.tan((Proj4js.common.PI / 4.0) + (lat / 2.5))) * 1.25;
|
||
|
||
p.x=x;
|
||
p.y=y;
|
||
return p;
|
||
},//millFwd()
|
||
|
||
/* Miller Cylindrical inverse equations--mapping x,y to lat/long
|
||
------------------------------------------------------------*/
|
||
inverse: function(p) {
|
||
p.x -= this.x0;
|
||
p.y -= this.y0;
|
||
|
||
var lon = Proj4js.common.adjust_lon(this.long0 + p.x /this.a);
|
||
var lat = 2.5 * (Math.atan(Math.exp(0.8*p.y/this.a)) - Proj4js.common.PI / 4.0);
|
||
|
||
p.x=lon;
|
||
p.y=lat;
|
||
return p;
|
||
}//millInv()
|
||
};
|
||
/* ======================================================================
|
||
projCode/gnom.js
|
||
====================================================================== */
|
||
|
||
/*****************************************************************************
|
||
NAME GNOMONIC
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the Gnomonic Projection.
|
||
Implementation based on the existing sterea and ortho
|
||
implementations.
|
||
|
||
PROGRAMMER DATE
|
||
---------- ----
|
||
Richard Marsden November 2009
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Snyder, John P., "Flattening the Earth - Two Thousand Years of Map
|
||
Projections", University of Chicago Press 1993
|
||
|
||
2. Wolfram Mathworld "Gnomonic Projection"
|
||
http://mathworld.wolfram.com/GnomonicProjection.html
|
||
Accessed: 12th November 2009
|
||
******************************************************************************/
|
||
|
||
Proj4js.Proj.gnom = {
|
||
|
||
/* Initialize the Gnomonic projection
|
||
-------------------------------------*/
|
||
init: function(def) {
|
||
|
||
/* Place parameters in static storage for common use
|
||
-------------------------------------------------*/
|
||
this.sin_p14=Math.sin(this.lat0);
|
||
this.cos_p14=Math.cos(this.lat0);
|
||
// Approximation for projecting points to the horizon (infinity)
|
||
this.infinity_dist = 1000 * this.a;
|
||
this.rc = 1;
|
||
},
|
||
|
||
|
||
/* Gnomonic forward equations--mapping lat,long to x,y
|
||
---------------------------------------------------*/
|
||
forward: function(p) {
|
||
var sinphi, cosphi; /* sin and cos value */
|
||
var dlon; /* delta longitude value */
|
||
var coslon; /* cos of longitude */
|
||
var ksp; /* scale factor */
|
||
var g;
|
||
var x, y;
|
||
var lon=p.x;
|
||
var lat=p.y;
|
||
/* Forward equations
|
||
-----------------*/
|
||
dlon = Proj4js.common.adjust_lon(lon - this.long0);
|
||
|
||
sinphi=Math.sin(lat);
|
||
cosphi=Math.cos(lat);
|
||
|
||
coslon = Math.cos(dlon);
|
||
g = this.sin_p14 * sinphi + this.cos_p14 * cosphi * coslon;
|
||
ksp = 1.0;
|
||
if ((g > 0) || (Math.abs(g) <= Proj4js.common.EPSLN)) {
|
||
x = this.x0 + this.a * ksp * cosphi * Math.sin(dlon) / g;
|
||
y = this.y0 + this.a * ksp * (this.cos_p14 * sinphi - this.sin_p14 * cosphi * coslon) / g;
|
||
} else {
|
||
Proj4js.reportError("orthoFwdPointError");
|
||
|
||
// Point is in the opposing hemisphere and is unprojectable
|
||
// We still need to return a reasonable point, so we project
|
||
// to infinity, on a bearing
|
||
// equivalent to the northern hemisphere equivalent
|
||
// This is a reasonable approximation for short shapes and lines that
|
||
// straddle the horizon.
|
||
|
||
x = this.x0 + this.infinity_dist * cosphi * Math.sin(dlon);
|
||
y = this.y0 + this.infinity_dist * (this.cos_p14 * sinphi - this.sin_p14 * cosphi * coslon);
|
||
|
||
}
|
||
p.x=x;
|
||
p.y=y;
|
||
return p;
|
||
},
|
||
|
||
|
||
inverse: function(p) {
|
||
var rh; /* Rho */
|
||
var z; /* angle */
|
||
var sinc, cosc;
|
||
var c;
|
||
var lon , lat;
|
||
|
||
/* Inverse equations
|
||
-----------------*/
|
||
p.x = (p.x - this.x0) / this.a;
|
||
p.y = (p.y - this.y0) / this.a;
|
||
|
||
p.x /= this.k0;
|
||
p.y /= this.k0;
|
||
|
||
if ( (rh = Math.sqrt(p.x * p.x + p.y * p.y)) ) {
|
||
c = Math.atan2(rh, this.rc);
|
||
sinc = Math.sin(c);
|
||
cosc = Math.cos(c);
|
||
|
||
lat = Proj4js.common.asinz(cosc*this.sin_p14 + (p.y*sinc*this.cos_p14) / rh);
|
||
lon = Math.atan2(p.x*sinc, rh*this.cos_p14*cosc - p.y*this.sin_p14*sinc);
|
||
lon = Proj4js.common.adjust_lon(this.long0+lon);
|
||
} else {
|
||
lat = this.phic0;
|
||
lon = 0.0;
|
||
}
|
||
|
||
p.x=lon;
|
||
p.y=lat;
|
||
return p;
|
||
}
|
||
};
|
||
|
||
|
||
/* ======================================================================
|
||
projCode/sinu.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME SINUSOIDAL
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the Sinusoidal projection. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
|
||
PROGRAMMER DATE
|
||
---------- ----
|
||
D. Steinwand, EROS May, 1991
|
||
|
||
This function was adapted from the Sinusoidal projection code (FORTRAN) in the
|
||
General Cartographic Transformation Package software which is available from
|
||
the U.S. Geological Survey National Mapping Division.
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
2. "Software Documentation for GCTP General Cartographic Transformation
|
||
Package", U.S. Geological Survey National Mapping Division, May 1982.
|
||
*******************************************************************************/
|
||
|
||
Proj4js.Proj.sinu = {
|
||
|
||
/* Initialize the Sinusoidal projection
|
||
------------------------------------*/
|
||
init: function() {
|
||
/* Place parameters in static storage for common use
|
||
-------------------------------------------------*/
|
||
|
||
|
||
if (!this.sphere) {
|
||
this.en = Proj4js.common.pj_enfn(this.es);
|
||
} else {
|
||
this.n = 1.;
|
||
this.m = 0.;
|
||
this.es = 0;
|
||
this.C_y = Math.sqrt((this.m + 1.) / this.n);
|
||
this.C_x = this.C_y/(this.m + 1.);
|
||
}
|
||
|
||
},
|
||
|
||
/* Sinusoidal forward equations--mapping lat,long to x,y
|
||
-----------------------------------------------------*/
|
||
forward: function(p) {
|
||
var x,y,delta_lon;
|
||
var lon=p.x;
|
||
var lat=p.y;
|
||
/* Forward equations
|
||
-----------------*/
|
||
lon = Proj4js.common.adjust_lon(lon - this.long0);
|
||
|
||
if (this.sphere) {
|
||
if (!this.m) {
|
||
lat = this.n != 1. ? Math.asin(this.n * Math.sin(lat)): lat;
|
||
} else {
|
||
var k = this.n * Math.sin(lat);
|
||
for (var i = Proj4js.common.MAX_ITER; i ; --i) {
|
||
var V = (this.m * lat + Math.sin(lat) - k) / (this.m + Math.cos(lat));
|
||
lat -= V;
|
||
if (Math.abs(V) < Proj4js.common.EPSLN) break;
|
||
}
|
||
}
|
||
x = this.a * this.C_x * lon * (this.m + Math.cos(lat));
|
||
y = this.a * this.C_y * lat;
|
||
|
||
} else {
|
||
|
||
var s = Math.sin(lat);
|
||
var c = Math.cos(lat);
|
||
y = this.a * Proj4js.common.pj_mlfn(lat, s, c, this.en);
|
||
x = this.a * lon * c / Math.sqrt(1. - this.es * s * s);
|
||
}
|
||
|
||
p.x=x;
|
||
p.y=y;
|
||
return p;
|
||
},
|
||
|
||
inverse: function(p) {
|
||
var lat,temp,lon;
|
||
|
||
/* Inverse equations
|
||
-----------------*/
|
||
p.x -= this.x0;
|
||
p.y -= this.y0;
|
||
lat = p.y / this.a;
|
||
|
||
if (this.sphere) {
|
||
|
||
p.y /= this.C_y;
|
||
lat = this.m ? Math.asin((this.m * p.y + Math.sin(p.y)) / this.n) :
|
||
( this.n != 1. ? Math.asin(Math.sin(p.y) / this.n) : p.y );
|
||
lon = p.x / (this.C_x * (this.m + Math.cos(p.y)));
|
||
|
||
} else {
|
||
lat = Proj4js.common.pj_inv_mlfn(p.y/this.a, this.es, this.en)
|
||
var s = Math.abs(lat);
|
||
if (s < Proj4js.common.HALF_PI) {
|
||
s = Math.sin(lat);
|
||
temp = this.long0 + p.x * Math.sqrt(1. - this.es * s * s) /(this.a * Math.cos(lat));
|
||
//temp = this.long0 + p.x / (this.a * Math.cos(lat));
|
||
lon = Proj4js.common.adjust_lon(temp);
|
||
} else if ((s - Proj4js.common.EPSLN) < Proj4js.common.HALF_PI) {
|
||
lon = this.long0;
|
||
}
|
||
|
||
}
|
||
|
||
p.x=lon;
|
||
p.y=lat;
|
||
return p;
|
||
}
|
||
};
|
||
|
||
|
||
/* ======================================================================
|
||
projCode/vandg.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME VAN DER GRINTEN
|
||
|
||
PURPOSE: Transforms input Easting and Northing to longitude and
|
||
latitude for the Van der Grinten projection. The
|
||
Easting and Northing must be in meters. The longitude
|
||
and latitude values will be returned in radians.
|
||
|
||
PROGRAMMER DATE
|
||
---------- ----
|
||
T. Mittan March, 1993
|
||
|
||
This function was adapted from the Van Der Grinten projection code
|
||
(FORTRAN) in the General Cartographic Transformation Package software
|
||
which is available from the U.S. Geological Survey National Mapping Division.
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. "New Equal-Area Map Projections for Noncircular Regions", John P. Snyder,
|
||
The American Cartographer, Vol 15, No. 4, October 1988, pp. 341-355.
|
||
|
||
2. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
3. "Software Documentation for GCTP General Cartographic Transformation
|
||
Package", U.S. Geological Survey National Mapping Division, May 1982.
|
||
*******************************************************************************/
|
||
|
||
Proj4js.Proj.vandg = {
|
||
|
||
/* Initialize the Van Der Grinten projection
|
||
----------------------------------------*/
|
||
init: function() {
|
||
this.R = 6370997.0; //Radius of earth
|
||
},
|
||
|
||
forward: function(p) {
|
||
|
||
var lon=p.x;
|
||
var lat=p.y;
|
||
|
||
/* Forward equations
|
||
-----------------*/
|
||
var dlon = Proj4js.common.adjust_lon(lon - this.long0);
|
||
var x,y;
|
||
|
||
if (Math.abs(lat) <= Proj4js.common.EPSLN) {
|
||
x = this.x0 + this.R * dlon;
|
||
y = this.y0;
|
||
}
|
||
var theta = Proj4js.common.asinz(2.0 * Math.abs(lat / Proj4js.common.PI));
|
||
if ((Math.abs(dlon) <= Proj4js.common.EPSLN) || (Math.abs(Math.abs(lat) - Proj4js.common.HALF_PI) <= Proj4js.common.EPSLN)) {
|
||
x = this.x0;
|
||
if (lat >= 0) {
|
||
y = this.y0 + Proj4js.common.PI * this.R * Math.tan(.5 * theta);
|
||
} else {
|
||
y = this.y0 + Proj4js.common.PI * this.R * - Math.tan(.5 * theta);
|
||
}
|
||
// return(OK);
|
||
}
|
||
var al = .5 * Math.abs((Proj4js.common.PI / dlon) - (dlon / Proj4js.common.PI));
|
||
var asq = al * al;
|
||
var sinth = Math.sin(theta);
|
||
var costh = Math.cos(theta);
|
||
|
||
var g = costh / (sinth + costh - 1.0);
|
||
var gsq = g * g;
|
||
var m = g * (2.0 / sinth - 1.0);
|
||
var msq = m * m;
|
||
var con = Proj4js.common.PI * this.R * (al * (g - msq) + Math.sqrt(asq * (g - msq) * (g - msq) - (msq + asq) * (gsq - msq))) / (msq + asq);
|
||
if (dlon < 0) {
|
||
con = -con;
|
||
}
|
||
x = this.x0 + con;
|
||
con = Math.abs(con / (Proj4js.common.PI * this.R));
|
||
if (lat >= 0) {
|
||
y = this.y0 + Proj4js.common.PI * this.R * Math.sqrt(1.0 - con * con - 2.0 * al * con);
|
||
} else {
|
||
y = this.y0 - Proj4js.common.PI * this.R * Math.sqrt(1.0 - con * con - 2.0 * al * con);
|
||
}
|
||
p.x = x;
|
||
p.y = y;
|
||
return p;
|
||
},
|
||
|
||
/* Van Der Grinten inverse equations--mapping x,y to lat/long
|
||
---------------------------------------------------------*/
|
||
inverse: function(p) {
|
||
var lon, lat;
|
||
var xx,yy,xys,c1,c2,c3;
|
||
var al,asq;
|
||
var a1;
|
||
var m1;
|
||
var con;
|
||
var th1;
|
||
var d;
|
||
|
||
/* inverse equations
|
||
-----------------*/
|
||
p.x -= this.x0;
|
||
p.y -= this.y0;
|
||
con = Proj4js.common.PI * this.R;
|
||
xx = p.x / con;
|
||
yy =p.y / con;
|
||
xys = xx * xx + yy * yy;
|
||
c1 = -Math.abs(yy) * (1.0 + xys);
|
||
c2 = c1 - 2.0 * yy * yy + xx * xx;
|
||
c3 = -2.0 * c1 + 1.0 + 2.0 * yy * yy + xys * xys;
|
||
d = yy * yy / c3 + (2.0 * c2 * c2 * c2 / c3 / c3 / c3 - 9.0 * c1 * c2 / c3 /c3) / 27.0;
|
||
a1 = (c1 - c2 * c2 / 3.0 / c3) / c3;
|
||
m1 = 2.0 * Math.sqrt( -a1 / 3.0);
|
||
con = ((3.0 * d) / a1) / m1;
|
||
if (Math.abs(con) > 1.0) {
|
||
if (con >= 0.0) {
|
||
con = 1.0;
|
||
} else {
|
||
con = -1.0;
|
||
}
|
||
}
|
||
th1 = Math.acos(con) / 3.0;
|
||
if (p.y >= 0) {
|
||
lat = (-m1 *Math.cos(th1 + Proj4js.common.PI / 3.0) - c2 / 3.0 / c3) * Proj4js.common.PI;
|
||
} else {
|
||
lat = -(-m1 * Math.cos(th1 + Proj4js.common.PI / 3.0) - c2 / 3.0 / c3) * Proj4js.common.PI;
|
||
}
|
||
|
||
if (Math.abs(xx) < Proj4js.common.EPSLN) {
|
||
lon = this.long0;
|
||
}
|
||
lon = Proj4js.common.adjust_lon(this.long0 + Proj4js.common.PI * (xys - 1.0 + Math.sqrt(1.0 + 2.0 * (xx * xx - yy * yy) + xys * xys)) / 2.0 / xx);
|
||
|
||
p.x=lon;
|
||
p.y=lat;
|
||
return p;
|
||
}
|
||
};
|
||
/* ======================================================================
|
||
projCode/cea.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME LAMBERT CYLINDRICAL EQUAL AREA
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the Lambert Cylindrical Equal Area projection.
|
||
This class of projection includes the Behrmann and
|
||
Gall-Peters Projections. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
|
||
PROGRAMMER DATE
|
||
---------- ----
|
||
R. Marsden August 2009
|
||
Winwaed Software Tech LLC, http://www.winwaed.com
|
||
|
||
This function was adapted from the Miller Cylindrical Projection in the Proj4JS
|
||
library.
|
||
|
||
Note: This implementation assumes a Spherical Earth. The (commented) code
|
||
has been included for the ellipsoidal forward transform, but derivation of
|
||
the ellispoidal inverse transform is beyond me. Note that most of the
|
||
Proj4JS implementations do NOT currently support ellipsoidal figures.
|
||
Therefore this is not seen as a problem - especially this lack of support
|
||
is explicitly stated here.
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. "Cartographic Projection Procedures for the UNIX Environment -
|
||
A User's Manual" by Gerald I. Evenden, USGS Open File Report 90-284
|
||
and Release 4 Interim Reports (2003)
|
||
|
||
2. Snyder, John P., "Flattening the Earth - Two Thousand Years of Map
|
||
Projections", Univ. Chicago Press, 1993
|
||
*******************************************************************************/
|
||
|
||
Proj4js.Proj.cea = {
|
||
|
||
/* Initialize the Cylindrical Equal Area projection
|
||
-------------------------------------------*/
|
||
init: function() {
|
||
//no-op
|
||
},
|
||
|
||
|
||
/* Cylindrical Equal Area forward equations--mapping lat,long to x,y
|
||
------------------------------------------------------------*/
|
||
forward: function(p) {
|
||
var lon=p.x;
|
||
var lat=p.y;
|
||
/* Forward equations
|
||
-----------------*/
|
||
var dlon = Proj4js.common.adjust_lon(lon -this.long0);
|
||
var x = this.x0 + this.a * dlon * Math.cos(this.lat_ts);
|
||
var y = this.y0 + this.a * Math.sin(lat) / Math.cos(this.lat_ts);
|
||
/* Elliptical Forward Transform
|
||
Not implemented due to a lack of a matchign inverse function
|
||
{
|
||
var Sin_Lat = Math.sin(lat);
|
||
var Rn = this.a * (Math.sqrt(1.0e0 - this.es * Sin_Lat * Sin_Lat ));
|
||
x = this.x0 + this.a * dlon * Math.cos(this.lat_ts);
|
||
y = this.y0 + Rn * Math.sin(lat) / Math.cos(this.lat_ts);
|
||
}
|
||
*/
|
||
|
||
|
||
p.x=x;
|
||
p.y=y;
|
||
return p;
|
||
},//ceaFwd()
|
||
|
||
/* Cylindrical Equal Area inverse equations--mapping x,y to lat/long
|
||
------------------------------------------------------------*/
|
||
inverse: function(p) {
|
||
p.x -= this.x0;
|
||
p.y -= this.y0;
|
||
|
||
var lon = Proj4js.common.adjust_lon( this.long0 + (p.x / this.a) / Math.cos(this.lat_ts) );
|
||
|
||
var lat = Math.asin( (p.y/this.a) * Math.cos(this.lat_ts) );
|
||
|
||
p.x=lon;
|
||
p.y=lat;
|
||
return p;
|
||
}//ceaInv()
|
||
};
|
||
/* ======================================================================
|
||
projCode/eqc.js
|
||
====================================================================== */
|
||
|
||
/* similar to equi.js FIXME proj4 uses eqc */
|
||
Proj4js.Proj.eqc = {
|
||
init : function() {
|
||
|
||
if(!this.x0) this.x0=0;
|
||
if(!this.y0) this.y0=0;
|
||
if(!this.lat0) this.lat0=0;
|
||
if(!this.long0) this.long0=0;
|
||
if(!this.lat_ts) this.lat_ts=0;
|
||
if (!this.title) this.title = "Equidistant Cylindrical (Plate Carre)";
|
||
|
||
this.rc= Math.cos(this.lat_ts);
|
||
},
|
||
|
||
|
||
// forward equations--mapping lat,long to x,y
|
||
// -----------------------------------------------------------------
|
||
forward : function(p) {
|
||
|
||
var lon= p.x;
|
||
var lat= p.y;
|
||
|
||
var dlon = Proj4js.common.adjust_lon(lon - this.long0);
|
||
var dlat = Proj4js.common.adjust_lat(lat - this.lat0 );
|
||
p.x= this.x0 + (this.a*dlon*this.rc);
|
||
p.y= this.y0 + (this.a*dlat );
|
||
return p;
|
||
},
|
||
|
||
// inverse equations--mapping x,y to lat/long
|
||
// -----------------------------------------------------------------
|
||
inverse : function(p) {
|
||
|
||
var x= p.x;
|
||
var y= p.y;
|
||
|
||
p.x= Proj4js.common.adjust_lon(this.long0 + ((x - this.x0)/(this.a*this.rc)));
|
||
p.y= Proj4js.common.adjust_lat(this.lat0 + ((y - this.y0)/(this.a )));
|
||
return p;
|
||
}
|
||
|
||
};
|
||
/* ======================================================================
|
||
projCode/cass.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME CASSINI
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the Cassini projection. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
Ported from PROJ.4.
|
||
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
|
||
U.S. Geological Survey Professional Paper 1453 , United State Government
|
||
*******************************************************************************/
|
||
|
||
|
||
//Proj4js.defs["EPSG:28191"] = "+proj=cass +lat_0=31.73409694444445 +lon_0=35.21208055555556 +x_0=170251.555 +y_0=126867.909 +a=6378300.789 +b=6356566.435 +towgs84=-275.722,94.7824,340.894,-8.001,-4.42,-11.821,1 +units=m +no_defs";
|
||
|
||
// Initialize the Cassini projection
|
||
// -----------------------------------------------------------------
|
||
|
||
Proj4js.Proj.cass = {
|
||
init : function() {
|
||
if (!this.sphere) {
|
||
this.en = Proj4js.common.pj_enfn(this.es)
|
||
this.m0 = Proj4js.common.pj_mlfn(this.lat0, Math.sin(this.lat0), Math.cos(this.lat0), this.en);
|
||
}
|
||
},
|
||
|
||
C1: .16666666666666666666,
|
||
C2: .00833333333333333333,
|
||
C3: .04166666666666666666,
|
||
C4: .33333333333333333333,
|
||
C5: .06666666666666666666,
|
||
|
||
|
||
/* Cassini forward equations--mapping lat,long to x,y
|
||
-----------------------------------------------------------------------*/
|
||
forward: function(p) {
|
||
|
||
/* Forward equations
|
||
-----------------*/
|
||
var x,y;
|
||
var lam=p.x;
|
||
var phi=p.y;
|
||
lam = Proj4js.common.adjust_lon(lam - this.long0);
|
||
|
||
if (this.sphere) {
|
||
x = Math.asin(Math.cos(phi) * Math.sin(lam));
|
||
y = Math.atan2(Math.tan(phi) , Math.cos(lam)) - this.phi0;
|
||
} else {
|
||
//ellipsoid
|
||
this.n = Math.sin(phi);
|
||
this.c = Math.cos(phi);
|
||
y = Proj4js.common.pj_mlfn(phi, this.n, this.c, this.en);
|
||
this.n = 1./Math.sqrt(1. - this.es * this.n * this.n);
|
||
this.tn = Math.tan(phi);
|
||
this.t = this.tn * this.tn;
|
||
this.a1 = lam * this.c;
|
||
this.c *= this.es * this.c / (1 - this.es);
|
||
this.a2 = this.a1 * this.a1;
|
||
x = this.n * this.a1 * (1. - this.a2 * this.t * (this.C1 - (8. - this.t + 8. * this.c) * this.a2 * this.C2));
|
||
y -= this.m0 - this.n * this.tn * this.a2 * (.5 + (5. - this.t + 6. * this.c) * this.a2 * this.C3);
|
||
}
|
||
|
||
p.x = this.a*x + this.x0;
|
||
p.y = this.a*y + this.y0;
|
||
return p;
|
||
},//cassFwd()
|
||
|
||
/* Inverse equations
|
||
-----------------*/
|
||
inverse: function(p) {
|
||
p.x -= this.x0;
|
||
p.y -= this.y0;
|
||
var x = p.x/this.a;
|
||
var y = p.y/this.a;
|
||
var phi, lam;
|
||
|
||
if (this.sphere) {
|
||
this.dd = y + this.lat0;
|
||
phi = Math.asin(Math.sin(this.dd) * Math.cos(x));
|
||
lam = Math.atan2(Math.tan(x), Math.cos(this.dd));
|
||
} else {
|
||
/* ellipsoid */
|
||
var ph1 = Proj4js.common.pj_inv_mlfn(this.m0 + y, this.es, this.en);
|
||
this.tn = Math.tan(ph1);
|
||
this.t = this.tn * this.tn;
|
||
this.n = Math.sin(ph1);
|
||
this.r = 1. / (1. - this.es * this.n * this.n);
|
||
this.n = Math.sqrt(this.r);
|
||
this.r *= (1. - this.es) * this.n;
|
||
this.dd = x / this.n;
|
||
this.d2 = this.dd * this.dd;
|
||
phi = ph1 - (this.n * this.tn / this.r) * this.d2 * (.5 - (1. + 3. * this.t) * this.d2 * this.C3);
|
||
lam = this.dd * (1. + this.t * this.d2 * (-this.C4 + (1. + 3. * this.t) * this.d2 * this.C5)) / Math.cos(ph1);
|
||
}
|
||
p.x = Proj4js.common.adjust_lon(this.long0+lam);
|
||
p.y = phi;
|
||
return p;
|
||
}//cassInv()
|
||
|
||
}
|
||
/* ======================================================================
|
||
projCode/gauss.js
|
||
====================================================================== */
|
||
|
||
|
||
Proj4js.Proj.gauss = {
|
||
|
||
init : function() {
|
||
var sphi = Math.sin(this.lat0);
|
||
var cphi = Math.cos(this.lat0);
|
||
cphi *= cphi;
|
||
this.rc = Math.sqrt(1.0 - this.es) / (1.0 - this.es * sphi * sphi);
|
||
this.C = Math.sqrt(1.0 + this.es * cphi * cphi / (1.0 - this.es));
|
||
this.phic0 = Math.asin(sphi / this.C);
|
||
this.ratexp = 0.5 * this.C * this.e;
|
||
this.K = Math.tan(0.5 * this.phic0 + Proj4js.common.FORTPI) / (Math.pow(Math.tan(0.5*this.lat0 + Proj4js.common.FORTPI), this.C) * Proj4js.common.srat(this.e*sphi, this.ratexp));
|
||
},
|
||
|
||
forward : function(p) {
|
||
var lon = p.x;
|
||
var lat = p.y;
|
||
|
||
p.y = 2.0 * Math.atan( this.K * Math.pow(Math.tan(0.5 * lat + Proj4js.common.FORTPI), this.C) * Proj4js.common.srat(this.e * Math.sin(lat), this.ratexp) ) - Proj4js.common.HALF_PI;
|
||
p.x = this.C * lon;
|
||
return p;
|
||
},
|
||
|
||
inverse : function(p) {
|
||
var DEL_TOL = 1e-14;
|
||
var lon = p.x / this.C;
|
||
var lat = p.y;
|
||
var num = Math.pow(Math.tan(0.5 * lat + Proj4js.common.FORTPI)/this.K, 1./this.C);
|
||
for (var i = Proj4js.common.MAX_ITER; i>0; --i) {
|
||
lat = 2.0 * Math.atan(num * Proj4js.common.srat(this.e * Math.sin(p.y), -0.5 * this.e)) - Proj4js.common.HALF_PI;
|
||
if (Math.abs(lat - p.y) < DEL_TOL) break;
|
||
p.y = lat;
|
||
}
|
||
/* convergence failed */
|
||
if (!i) {
|
||
Proj4js.reportError("gauss:inverse:convergence failed");
|
||
return null;
|
||
}
|
||
p.x = lon;
|
||
p.y = lat;
|
||
return p;
|
||
}
|
||
};
|
||
|
||
/* ======================================================================
|
||
projCode/omerc.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME OBLIQUE MERCATOR (HOTINE)
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the Oblique Mercator projection. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
|
||
PROGRAMMER DATE
|
||
---------- ----
|
||
T. Mittan Mar, 1993
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
|
||
U.S. Geological Survey Professional Paper 1453 , United State Government
|
||
Printing Office, Washington D.C., 1989.
|
||
*******************************************************************************/
|
||
|
||
Proj4js.Proj.omerc = {
|
||
|
||
/* Initialize the Oblique Mercator projection
|
||
------------------------------------------*/
|
||
init: function() {
|
||
if (!this.mode) this.mode=0;
|
||
if (!this.lon1) {this.lon1=0;this.mode=1;}
|
||
if (!this.lon2) this.lon2=0;
|
||
if (!this.lat2) this.lat2=0;
|
||
|
||
/* Place parameters in static storage for common use
|
||
-------------------------------------------------*/
|
||
var temp = this.b/ this.a;
|
||
var es = 1.0 - Math.pow(temp,2);
|
||
var e = Math.sqrt(es);
|
||
|
||
this.sin_p20=Math.sin(this.lat0);
|
||
this.cos_p20=Math.cos(this.lat0);
|
||
|
||
this.con = 1.0 - this.es * this.sin_p20 * this.sin_p20;
|
||
this.com = Math.sqrt(1.0 - es);
|
||
this.bl = Math.sqrt(1.0 + this.es * Math.pow(this.cos_p20,4.0)/(1.0 - es));
|
||
this.al = this.a * this.bl * this.k0 * this.com / this.con;
|
||
if (Math.abs(this.lat0) < Proj4js.common.EPSLN) {
|
||
this.ts = 1.0;
|
||
this.d = 1.0;
|
||
this.el = 1.0;
|
||
} else {
|
||
this.ts = Proj4js.common.tsfnz(this.e,this.lat0,this.sin_p20);
|
||
this.con = Math.sqrt(this.con);
|
||
this.d = this.bl * this.com / (this.cos_p20 * this.con);
|
||
if ((this.d * this.d - 1.0) > 0.0) {
|
||
if (this.lat0 >= 0.0) {
|
||
this.f = this.d + Math.sqrt(this.d * this.d - 1.0);
|
||
} else {
|
||
this.f = this.d - Math.sqrt(this.d * this.d - 1.0);
|
||
}
|
||
} else {
|
||
this.f = this.d;
|
||
}
|
||
this.el = this.f * Math.pow(this.ts,this.bl);
|
||
}
|
||
|
||
//this.longc=52.60353916666667;
|
||
|
||
if (this.mode != 0) {
|
||
this.g = .5 * (this.f - 1.0/this.f);
|
||
this.gama = Proj4js.common.asinz(Math.sin(this.alpha) / this.d);
|
||
this.longc= this.longc - Proj4js.common.asinz(this.g * Math.tan(this.gama))/this.bl;
|
||
|
||
/* Report parameters common to format B
|
||
-------------------------------------*/
|
||
//genrpt(azimuth * R2D,"Azimuth of Central Line: ");
|
||
//cenlon(lon_origin);
|
||
// cenlat(lat_origin);
|
||
|
||
this.con = Math.abs(this.lat0);
|
||
if ((this.con > Proj4js.common.EPSLN) && (Math.abs(this.con - Proj4js.common.HALF_PI) > Proj4js.common.EPSLN)) {
|
||
this.singam=Math.sin(this.gama);
|
||
this.cosgam=Math.cos(this.gama);
|
||
|
||
this.sinaz=Math.sin(this.alpha);
|
||
this.cosaz=Math.cos(this.alpha);
|
||
|
||
if (this.lat0>= 0) {
|
||
this.u = (this.al / this.bl) * Math.atan(Math.sqrt(this.d*this.d - 1.0)/this.cosaz);
|
||
} else {
|
||
this.u = -(this.al / this.bl) *Math.atan(Math.sqrt(this.d*this.d - 1.0)/this.cosaz);
|
||
}
|
||
} else {
|
||
Proj4js.reportError("omerc:Init:DataError");
|
||
}
|
||
} else {
|
||
this.sinphi =Math. sin(this.at1);
|
||
this.ts1 = Proj4js.common.tsfnz(this.e,this.lat1,this.sinphi);
|
||
this.sinphi = Math.sin(this.lat2);
|
||
this.ts2 = Proj4js.common.tsfnz(this.e,this.lat2,this.sinphi);
|
||
this.h = Math.pow(this.ts1,this.bl);
|
||
this.l = Math.pow(this.ts2,this.bl);
|
||
this.f = this.el/this.h;
|
||
this.g = .5 * (this.f - 1.0/this.f);
|
||
this.j = (this.el * this.el - this.l * this.h)/(this.el * this.el + this.l * this.h);
|
||
this.p = (this.l - this.h) / (this.l + this.h);
|
||
this.dlon = this.lon1 - this.lon2;
|
||
if (this.dlon < -Proj4js.common.PI) this.lon2 = this.lon2 - 2.0 * Proj4js.common.PI;
|
||
if (this.dlon > Proj4js.common.PI) this.lon2 = this.lon2 + 2.0 * Proj4js.common.PI;
|
||
this.dlon = this.lon1 - this.lon2;
|
||
this.longc = .5 * (this.lon1 + this.lon2) -Math.atan(this.j * Math.tan(.5 * this.bl * this.dlon)/this.p)/this.bl;
|
||
this.dlon = Proj4js.common.adjust_lon(this.lon1 - this.longc);
|
||
this.gama = Math.atan(Math.sin(this.bl * this.dlon)/this.g);
|
||
this.alpha = Proj4js.common.asinz(this.d * Math.sin(this.gama));
|
||
|
||
/* Report parameters common to format A
|
||
-------------------------------------*/
|
||
|
||
if (Math.abs(this.lat1 - this.lat2) <= Proj4js.common.EPSLN) {
|
||
Proj4js.reportError("omercInitDataError");
|
||
//return(202);
|
||
} else {
|
||
this.con = Math.abs(this.lat1);
|
||
}
|
||
if ((this.con <= Proj4js.common.EPSLN) || (Math.abs(this.con - Proj4js.common.HALF_PI) <= Proj4js.common.EPSLN)) {
|
||
Proj4js.reportError("omercInitDataError");
|
||
//return(202);
|
||
} else {
|
||
if (Math.abs(Math.abs(this.lat0) - Proj4js.common.HALF_PI) <= Proj4js.common.EPSLN) {
|
||
Proj4js.reportError("omercInitDataError");
|
||
//return(202);
|
||
}
|
||
}
|
||
|
||
this.singam=Math.sin(this.gam);
|
||
this.cosgam=Math.cos(this.gam);
|
||
|
||
this.sinaz=Math.sin(this.alpha);
|
||
this.cosaz=Math.cos(this.alpha);
|
||
|
||
|
||
if (this.lat0 >= 0) {
|
||
this.u = (this.al/this.bl) * Math.atan(Math.sqrt(this.d * this.d - 1.0)/this.cosaz);
|
||
} else {
|
||
this.u = -(this.al/this.bl) * Math.atan(Math.sqrt(this.d * this.d - 1.0)/this.cosaz);
|
||
}
|
||
}
|
||
},
|
||
|
||
|
||
/* Oblique Mercator forward equations--mapping lat,long to x,y
|
||
----------------------------------------------------------*/
|
||
forward: function(p) {
|
||
var theta; /* angle */
|
||
var sin_phi, cos_phi;/* sin and cos value */
|
||
var b; /* temporary values */
|
||
var c, t, tq; /* temporary values */
|
||
var con, n, ml; /* cone constant, small m */
|
||
var q,us,vl;
|
||
var ul,vs;
|
||
var s;
|
||
var dlon;
|
||
var ts1;
|
||
|
||
var lon=p.x;
|
||
var lat=p.y;
|
||
/* Forward equations
|
||
-----------------*/
|
||
sin_phi = Math.sin(lat);
|
||
dlon = Proj4js.common.adjust_lon(lon - this.longc);
|
||
vl = Math.sin(this.bl * dlon);
|
||
if (Math.abs(Math.abs(lat) - Proj4js.common.HALF_PI) > Proj4js.common.EPSLN) {
|
||
ts1 = Proj4js.common.tsfnz(this.e,lat,sin_phi);
|
||
q = this.el / (Math.pow(ts1,this.bl));
|
||
s = .5 * (q - 1.0 / q);
|
||
t = .5 * (q + 1.0/ q);
|
||
ul = (s * this.singam - vl * this.cosgam) / t;
|
||
con = Math.cos(this.bl * dlon);
|
||
if (Math.abs(con) < .0000001) {
|
||
us = this.al * this.bl * dlon;
|
||
} else {
|
||
us = this.al * Math.atan((s * this.cosgam + vl * this.singam) / con)/this.bl;
|
||
if (con < 0) us = us + Proj4js.common.PI * this.al / this.bl;
|
||
}
|
||
} else {
|
||
if (lat >= 0) {
|
||
ul = this.singam;
|
||
} else {
|
||
ul = -this.singam;
|
||
}
|
||
us = this.al * lat / this.bl;
|
||
}
|
||
if (Math.abs(Math.abs(ul) - 1.0) <= Proj4js.common.EPSLN) {
|
||
//alert("Point projects into infinity","omer-for");
|
||
Proj4js.reportError("omercFwdInfinity");
|
||
//return(205);
|
||
}
|
||
vs = .5 * this.al * Math.log((1.0 - ul)/(1.0 + ul)) / this.bl;
|
||
us = us - this.u;
|
||
var x = this.x0 + vs * this.cosaz + us * this.sinaz;
|
||
var y = this.y0 + us * this.cosaz - vs * this.sinaz;
|
||
|
||
p.x=x;
|
||
p.y=y;
|
||
return p;
|
||
},
|
||
|
||
inverse: function(p) {
|
||
var delta_lon; /* Delta longitude (Given longitude - center */
|
||
var theta; /* angle */
|
||
var delta_theta; /* adjusted longitude */
|
||
var sin_phi, cos_phi;/* sin and cos value */
|
||
var b; /* temporary values */
|
||
var c, t, tq; /* temporary values */
|
||
var con, n, ml; /* cone constant, small m */
|
||
var vs,us,q,s,ts1;
|
||
var vl,ul,bs;
|
||
var lon, lat;
|
||
var flag;
|
||
|
||
/* Inverse equations
|
||
-----------------*/
|
||
p.x -= this.x0;
|
||
p.y -= this.y0;
|
||
flag = 0;
|
||
vs = p.x * this.cosaz - p.y * this.sinaz;
|
||
us = p.y * this.cosaz + p.x * this.sinaz;
|
||
us = us + this.u;
|
||
q = Math.exp(-this.bl * vs / this.al);
|
||
s = .5 * (q - 1.0/q);
|
||
t = .5 * (q + 1.0/q);
|
||
vl = Math.sin(this.bl * us / this.al);
|
||
ul = (vl * this.cosgam + s * this.singam)/t;
|
||
if (Math.abs(Math.abs(ul) - 1.0) <= Proj4js.common.EPSLN)
|
||
{
|
||
lon = this.longc;
|
||
if (ul >= 0.0) {
|
||
lat = Proj4js.common.HALF_PI;
|
||
} else {
|
||
lat = -Proj4js.common.HALF_PI;
|
||
}
|
||
} else {
|
||
con = 1.0 / this.bl;
|
||
ts1 =Math.pow((this.el / Math.sqrt((1.0 + ul) / (1.0 - ul))),con);
|
||
lat = Proj4js.common.phi2z(this.e,ts1);
|
||
//if (flag != 0)
|
||
//return(flag);
|
||
//~ con = Math.cos(this.bl * us /al);
|
||
theta = this.longc - Math.atan2((s * this.cosgam - vl * this.singam) , con)/this.bl;
|
||
lon = Proj4js.common.adjust_lon(theta);
|
||
}
|
||
p.x=lon;
|
||
p.y=lat;
|
||
return p;
|
||
}
|
||
};
|
||
/* ======================================================================
|
||
projCode/lcc.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME LAMBERT CONFORMAL CONIC
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the Lambert Conformal Conic projection. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
|
||
U.S. Geological Survey Professional Paper 1453 , United State Government
|
||
*******************************************************************************/
|
||
|
||
|
||
//<2104> +proj=lcc +lat_1=10.16666666666667 +lat_0=10.16666666666667 +lon_0=-71.60561777777777 +k_0=1 +x0=-17044 +x0=-23139.97 +ellps=intl +units=m +no_defs no_defs
|
||
|
||
// Initialize the Lambert Conformal conic projection
|
||
// -----------------------------------------------------------------
|
||
|
||
//Proj4js.Proj.lcc = Class.create();
|
||
Proj4js.Proj.lcc = {
|
||
init : function() {
|
||
|
||
// array of: r_maj,r_min,lat1,lat2,c_lon,c_lat,false_east,false_north
|
||
//double c_lat; /* center latitude */
|
||
//double c_lon; /* center longitude */
|
||
//double lat1; /* first standard parallel */
|
||
//double lat2; /* second standard parallel */
|
||
//double r_maj; /* major axis */
|
||
//double r_min; /* minor axis */
|
||
//double false_east; /* x offset in meters */
|
||
//double false_north; /* y offset in meters */
|
||
|
||
if (!this.lat2){this.lat2=this.lat0;}//if lat2 is not defined
|
||
if (!this.k0) this.k0 = 1.0;
|
||
|
||
// Standard Parallels cannot be equal and on opposite sides of the equator
|
||
if (Math.abs(this.lat1+this.lat2) < Proj4js.common.EPSLN) {
|
||
Proj4js.reportError("lcc:init: Equal Latitudes");
|
||
return;
|
||
}
|
||
|
||
var temp = this.b / this.a;
|
||
this.e = Math.sqrt(1.0 - temp*temp);
|
||
|
||
var sin1 = Math.sin(this.lat1);
|
||
var cos1 = Math.cos(this.lat1);
|
||
var ms1 = Proj4js.common.msfnz(this.e, sin1, cos1);
|
||
var ts1 = Proj4js.common.tsfnz(this.e, this.lat1, sin1);
|
||
|
||
var sin2 = Math.sin(this.lat2);
|
||
var cos2 = Math.cos(this.lat2);
|
||
var ms2 = Proj4js.common.msfnz(this.e, sin2, cos2);
|
||
var ts2 = Proj4js.common.tsfnz(this.e, this.lat2, sin2);
|
||
|
||
var ts0 = Proj4js.common.tsfnz(this.e, this.lat0, Math.sin(this.lat0));
|
||
|
||
if (Math.abs(this.lat1 - this.lat2) > Proj4js.common.EPSLN) {
|
||
this.ns = Math.log(ms1/ms2)/Math.log(ts1/ts2);
|
||
} else {
|
||
this.ns = sin1;
|
||
}
|
||
this.f0 = ms1 / (this.ns * Math.pow(ts1, this.ns));
|
||
this.rh = this.a * this.f0 * Math.pow(ts0, this.ns);
|
||
if (!this.title) this.title = "Lambert Conformal Conic";
|
||
},
|
||
|
||
|
||
// Lambert Conformal conic forward equations--mapping lat,long to x,y
|
||
// -----------------------------------------------------------------
|
||
forward : function(p) {
|
||
|
||
var lon = p.x;
|
||
var lat = p.y;
|
||
|
||
// convert to radians
|
||
if ( lat <= 90.0 && lat >= -90.0 && lon <= 180.0 && lon >= -180.0) {
|
||
//lon = lon * Proj4js.common.D2R;
|
||
//lat = lat * Proj4js.common.D2R;
|
||
} else {
|
||
Proj4js.reportError("lcc:forward: llInputOutOfRange: "+ lon +" : " + lat);
|
||
return null;
|
||
}
|
||
|
||
var con = Math.abs( Math.abs(lat) - Proj4js.common.HALF_PI);
|
||
var ts, rh1;
|
||
if (con > Proj4js.common.EPSLN) {
|
||
ts = Proj4js.common.tsfnz(this.e, lat, Math.sin(lat) );
|
||
rh1 = this.a * this.f0 * Math.pow(ts, this.ns);
|
||
} else {
|
||
con = lat * this.ns;
|
||
if (con <= 0) {
|
||
Proj4js.reportError("lcc:forward: No Projection");
|
||
return null;
|
||
}
|
||
rh1 = 0;
|
||
}
|
||
var theta = this.ns * Proj4js.common.adjust_lon(lon - this.long0);
|
||
p.x = this.k0 * (rh1 * Math.sin(theta)) + this.x0;
|
||
p.y = this.k0 * (this.rh - rh1 * Math.cos(theta)) + this.y0;
|
||
|
||
return p;
|
||
},
|
||
|
||
// Lambert Conformal Conic inverse equations--mapping x,y to lat/long
|
||
// -----------------------------------------------------------------
|
||
inverse : function(p) {
|
||
|
||
var rh1, con, ts;
|
||
var lat, lon;
|
||
var x = (p.x - this.x0)/this.k0;
|
||
var y = (this.rh - (p.y - this.y0)/this.k0);
|
||
if (this.ns > 0) {
|
||
rh1 = Math.sqrt (x * x + y * y);
|
||
con = 1.0;
|
||
} else {
|
||
rh1 = -Math.sqrt (x * x + y * y);
|
||
con = -1.0;
|
||
}
|
||
var theta = 0.0;
|
||
if (rh1 != 0) {
|
||
theta = Math.atan2((con * x),(con * y));
|
||
}
|
||
if ((rh1 != 0) || (this.ns > 0.0)) {
|
||
con = 1.0/this.ns;
|
||
ts = Math.pow((rh1/(this.a * this.f0)), con);
|
||
lat = Proj4js.common.phi2z(this.e, ts);
|
||
if (lat == -9999) return null;
|
||
} else {
|
||
lat = -Proj4js.common.HALF_PI;
|
||
}
|
||
lon = Proj4js.common.adjust_lon(theta/this.ns + this.long0);
|
||
|
||
p.x = lon;
|
||
p.y = lat;
|
||
return p;
|
||
}
|
||
};
|
||
|
||
|
||
|
||
|
||
/* ======================================================================
|
||
projCode/laea.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME LAMBERT AZIMUTHAL EQUAL-AREA
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the Lambert Azimuthal Equal-Area projection. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
|
||
PROGRAMMER DATE
|
||
---------- ----
|
||
D. Steinwand, EROS March, 1991
|
||
|
||
This function was adapted from the Lambert Azimuthal Equal Area projection
|
||
code (FORTRAN) in the General Cartographic Transformation Package software
|
||
which is available from the U.S. Geological Survey National Mapping Division.
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. "New Equal-Area Map Projections for Noncircular Regions", John P. Snyder,
|
||
The American Cartographer, Vol 15, No. 4, October 1988, pp. 341-355.
|
||
|
||
2. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
|
||
3. "Software Documentation for GCTP General Cartographic Transformation
|
||
Package", U.S. Geological Survey National Mapping Division, May 1982.
|
||
*******************************************************************************/
|
||
|
||
Proj4js.Proj.laea = {
|
||
S_POLE: 1,
|
||
N_POLE: 2,
|
||
EQUIT: 3,
|
||
OBLIQ: 4,
|
||
|
||
|
||
/* Initialize the Lambert Azimuthal Equal Area projection
|
||
------------------------------------------------------*/
|
||
init: function() {
|
||
var t = Math.abs(this.lat0);
|
||
if (Math.abs(t - Proj4js.common.HALF_PI) < Proj4js.common.EPSLN) {
|
||
this.mode = this.lat0 < 0. ? this.S_POLE : this.N_POLE;
|
||
} else if (Math.abs(t) < Proj4js.common.EPSLN) {
|
||
this.mode = this.EQUIT;
|
||
} else {
|
||
this.mode = this.OBLIQ;
|
||
}
|
||
if (this.es > 0) {
|
||
var sinphi;
|
||
|
||
this.qp = Proj4js.common.qsfnz(this.e, 1.0);
|
||
this.mmf = .5 / (1. - this.es);
|
||
this.apa = this.authset(this.es);
|
||
switch (this.mode) {
|
||
case this.N_POLE:
|
||
case this.S_POLE:
|
||
this.dd = 1.;
|
||
break;
|
||
case this.EQUIT:
|
||
this.rq = Math.sqrt(.5 * this.qp);
|
||
this.dd = 1. / this.rq;
|
||
this.xmf = 1.;
|
||
this.ymf = .5 * this.qp;
|
||
break;
|
||
case this.OBLIQ:
|
||
this.rq = Math.sqrt(.5 * this.qp);
|
||
sinphi = Math.sin(this.lat0);
|
||
this.sinb1 = Proj4js.common.qsfnz(this.e, sinphi) / this.qp;
|
||
this.cosb1 = Math.sqrt(1. - this.sinb1 * this.sinb1);
|
||
this.dd = Math.cos(this.lat0) / (Math.sqrt(1. - this.es * sinphi * sinphi) * this.rq * this.cosb1);
|
||
this.ymf = (this.xmf = this.rq) / this.dd;
|
||
this.xmf *= this.dd;
|
||
break;
|
||
}
|
||
} else {
|
||
if (this.mode == this.OBLIQ) {
|
||
this.sinph0 = Math.sin(this.lat0);
|
||
this.cosph0 = Math.cos(this.lat0);
|
||
}
|
||
}
|
||
},
|
||
|
||
/* Lambert Azimuthal Equal Area forward equations--mapping lat,long to x,y
|
||
-----------------------------------------------------------------------*/
|
||
forward: function(p) {
|
||
|
||
/* Forward equations
|
||
-----------------*/
|
||
var x,y;
|
||
var lam=p.x;
|
||
var phi=p.y;
|
||
lam = Proj4js.common.adjust_lon(lam - this.long0);
|
||
|
||
if (this.sphere) {
|
||
var coslam, cosphi, sinphi;
|
||
|
||
sinphi = Math.sin(phi);
|
||
cosphi = Math.cos(phi);
|
||
coslam = Math.cos(lam);
|
||
switch (this.mode) {
|
||
case this.OBLIQ:
|
||
case this.EQUIT:
|
||
y = (this.mode == this.EQUIT) ? 1. + cosphi * coslam : 1. + this.sinph0 * sinphi + this.cosph0 * cosphi * coslam;
|
||
if (y <= Proj4js.common.EPSLN) {
|
||
Proj4js.reportError("laea:fwd:y less than eps");
|
||
return null;
|
||
}
|
||
y = Math.sqrt(2. / y);
|
||
x = y * cosphi * Math.sin(lam);
|
||
y *= (this.mode == this.EQUIT) ? sinphi : this.cosph0 * sinphi - this.sinph0 * cosphi * coslam;
|
||
break;
|
||
case this.N_POLE:
|
||
coslam = -coslam;
|
||
case this.S_POLE:
|
||
if (Math.abs(phi + this.phi0) < Proj4js.common.EPSLN) {
|
||
Proj4js.reportError("laea:fwd:phi < eps");
|
||
return null;
|
||
}
|
||
y = Proj4js.common.FORTPI - phi * .5;
|
||
y = 2. * ((this.mode == this.S_POLE) ? Math.cos(y) : Math.sin(y));
|
||
x = y * Math.sin(lam);
|
||
y *= coslam;
|
||
break;
|
||
}
|
||
} else {
|
||
var coslam, sinlam, sinphi, q, sinb=0.0, cosb=0.0, b=0.0;
|
||
|
||
coslam = Math.cos(lam);
|
||
sinlam = Math.sin(lam);
|
||
sinphi = Math.sin(phi);
|
||
q = Proj4js.common.qsfnz(this.e, sinphi);
|
||
if (this.mode == this.OBLIQ || this.mode == this.EQUIT) {
|
||
sinb = q / this.qp;
|
||
cosb = Math.sqrt(1. - sinb * sinb);
|
||
}
|
||
switch (this.mode) {
|
||
case this.OBLIQ:
|
||
b = 1. + this.sinb1 * sinb + this.cosb1 * cosb * coslam;
|
||
break;
|
||
case this.EQUIT:
|
||
b = 1. + cosb * coslam;
|
||
break;
|
||
case this.N_POLE:
|
||
b = Proj4js.common.HALF_PI + phi;
|
||
q = this.qp - q;
|
||
break;
|
||
case this.S_POLE:
|
||
b = phi - Proj4js.common.HALF_PI;
|
||
q = this.qp + q;
|
||
break;
|
||
}
|
||
if (Math.abs(b) < Proj4js.common.EPSLN) {
|
||
Proj4js.reportError("laea:fwd:b < eps");
|
||
return null;
|
||
}
|
||
switch (this.mode) {
|
||
case this.OBLIQ:
|
||
case this.EQUIT:
|
||
b = Math.sqrt(2. / b);
|
||
if (this.mode == this.OBLIQ) {
|
||
y = this.ymf * b * (this.cosb1 * sinb - this.sinb1 * cosb * coslam);
|
||
} else {
|
||
y = (b = Math.sqrt(2. / (1. + cosb * coslam))) * sinb * this.ymf;
|
||
}
|
||
x = this.xmf * b * cosb * sinlam;
|
||
break;
|
||
case this.N_POLE:
|
||
case this.S_POLE:
|
||
if (q >= 0.) {
|
||
x = (b = Math.sqrt(q)) * sinlam;
|
||
y = coslam * ((this.mode == this.S_POLE) ? b : -b);
|
||
} else {
|
||
x = y = 0.;
|
||
}
|
||
break;
|
||
}
|
||
}
|
||
|
||
//v 1.0
|
||
/*
|
||
var sin_lat=Math.sin(lat);
|
||
var cos_lat=Math.cos(lat);
|
||
|
||
var sin_delta_lon=Math.sin(delta_lon);
|
||
var cos_delta_lon=Math.cos(delta_lon);
|
||
|
||
var g =this.sin_lat_o * sin_lat +this.cos_lat_o * cos_lat * cos_delta_lon;
|
||
if (g == -1.0) {
|
||
Proj4js.reportError("laea:fwd:Point projects to a circle of radius "+ 2.0 * R);
|
||
return null;
|
||
}
|
||
var ksp = this.a * Math.sqrt(2.0 / (1.0 + g));
|
||
var x = ksp * cos_lat * sin_delta_lon + this.x0;
|
||
var y = ksp * (this.cos_lat_o * sin_lat - this.sin_lat_o * cos_lat * cos_delta_lon) + this.y0;
|
||
*/
|
||
p.x = this.a*x + this.x0;
|
||
p.y = this.a*y + this.y0;
|
||
return p;
|
||
},//lamazFwd()
|
||
|
||
/* Inverse equations
|
||
-----------------*/
|
||
inverse: function(p) {
|
||
p.x -= this.x0;
|
||
p.y -= this.y0;
|
||
var x = p.x/this.a;
|
||
var y = p.y/this.a;
|
||
var lam, phi;
|
||
|
||
if (this.sphere) {
|
||
var cosz=0.0, rh, sinz=0.0;
|
||
|
||
rh = Math.sqrt(x*x + y*y);
|
||
phi = rh * .5;
|
||
if (phi > 1.) {
|
||
Proj4js.reportError("laea:Inv:DataError");
|
||
return null;
|
||
}
|
||
phi = 2. * Math.asin(phi);
|
||
if (this.mode == this.OBLIQ || this.mode == this.EQUIT) {
|
||
sinz = Math.sin(phi);
|
||
cosz = Math.cos(phi);
|
||
}
|
||
switch (this.mode) {
|
||
case this.EQUIT:
|
||
phi = (Math.abs(rh) <= Proj4js.common.EPSLN) ? 0. : Math.asin(y * sinz / rh);
|
||
x *= sinz;
|
||
y = cosz * rh;
|
||
break;
|
||
case this.OBLIQ:
|
||
phi = (Math.abs(rh) <= Proj4js.common.EPSLN) ? this.phi0 : Math.asin(cosz * this.sinph0 + y * sinz * this.cosph0 / rh);
|
||
x *= sinz * this.cosph0;
|
||
y = (cosz - Math.sin(phi) * this.sinph0) * rh;
|
||
break;
|
||
case this.N_POLE:
|
||
y = -y;
|
||
phi = Proj4js.common.HALF_PI - phi;
|
||
break;
|
||
case this.S_POLE:
|
||
phi -= Proj4js.common.HALF_PI;
|
||
break;
|
||
}
|
||
lam = (y == 0. && (this.mode == this.EQUIT || this.mode == this.OBLIQ)) ? 0. : Math.atan2(x, y);
|
||
} else {
|
||
var cCe, sCe, q, rho, ab=0.0;
|
||
|
||
switch (this.mode) {
|
||
case this.EQUIT:
|
||
case this.OBLIQ:
|
||
x /= this.dd;
|
||
y *= this.dd;
|
||
rho = Math.sqrt(x*x + y*y);
|
||
if (rho < Proj4js.common.EPSLN) {
|
||
p.x = 0.;
|
||
p.y = this.phi0;
|
||
return p;
|
||
}
|
||
sCe = 2. * Math.asin(.5 * rho / this.rq);
|
||
cCe = Math.cos(sCe);
|
||
x *= (sCe = Math.sin(sCe));
|
||
if (this.mode == this.OBLIQ) {
|
||
ab = cCe * this.sinb1 + y * sCe * this.cosb1 / rho
|
||
q = this.qp * ab;
|
||
y = rho * this.cosb1 * cCe - y * this.sinb1 * sCe;
|
||
} else {
|
||
ab = y * sCe / rho;
|
||
q = this.qp * ab;
|
||
y = rho * cCe;
|
||
}
|
||
break;
|
||
case this.N_POLE:
|
||
y = -y;
|
||
case this.S_POLE:
|
||
q = (x * x + y * y);
|
||
if (!q ) {
|
||
p.x = 0.;
|
||
p.y = this.phi0;
|
||
return p;
|
||
}
|
||
/*
|
||
q = this.qp - q;
|
||
*/
|
||
ab = 1. - q / this.qp;
|
||
if (this.mode == this.S_POLE) {
|
||
ab = - ab;
|
||
}
|
||
break;
|
||
}
|
||
lam = Math.atan2(x, y);
|
||
phi = this.authlat(Math.asin(ab), this.apa);
|
||
}
|
||
|
||
/*
|
||
var Rh = Math.Math.sqrt(p.x *p.x +p.y * p.y);
|
||
var temp = Rh / (2.0 * this.a);
|
||
|
||
if (temp > 1) {
|
||
Proj4js.reportError("laea:Inv:DataError");
|
||
return null;
|
||
}
|
||
|
||
var z = 2.0 * Proj4js.common.asinz(temp);
|
||
var sin_z=Math.sin(z);
|
||
var cos_z=Math.cos(z);
|
||
|
||
var lon =this.long0;
|
||
if (Math.abs(Rh) > Proj4js.common.EPSLN) {
|
||
var lat = Proj4js.common.asinz(this.sin_lat_o * cos_z +this. cos_lat_o * sin_z *p.y / Rh);
|
||
var temp =Math.abs(this.lat0) - Proj4js.common.HALF_PI;
|
||
if (Math.abs(temp) > Proj4js.common.EPSLN) {
|
||
temp = cos_z -this.sin_lat_o * Math.sin(lat);
|
||
if(temp!=0.0) lon=Proj4js.common.adjust_lon(this.long0+Math.atan2(p.x*sin_z*this.cos_lat_o,temp*Rh));
|
||
} else if (this.lat0 < 0.0) {
|
||
lon = Proj4js.common.adjust_lon(this.long0 - Math.atan2(-p.x,p.y));
|
||
} else {
|
||
lon = Proj4js.common.adjust_lon(this.long0 + Math.atan2(p.x, -p.y));
|
||
}
|
||
} else {
|
||
lat = this.lat0;
|
||
}
|
||
*/
|
||
//return(OK);
|
||
p.x = Proj4js.common.adjust_lon(this.long0+lam);
|
||
p.y = phi;
|
||
return p;
|
||
},//lamazInv()
|
||
|
||
/* determine latitude from authalic latitude */
|
||
P00: .33333333333333333333,
|
||
P01: .17222222222222222222,
|
||
P02: .10257936507936507936,
|
||
P10: .06388888888888888888,
|
||
P11: .06640211640211640211,
|
||
P20: .01641501294219154443,
|
||
|
||
authset: function(es) {
|
||
var t;
|
||
var APA = new Array();
|
||
APA[0] = es * this.P00;
|
||
t = es * es;
|
||
APA[0] += t * this.P01;
|
||
APA[1] = t * this.P10;
|
||
t *= es;
|
||
APA[0] += t * this.P02;
|
||
APA[1] += t * this.P11;
|
||
APA[2] = t * this.P20;
|
||
return APA;
|
||
},
|
||
|
||
authlat: function(beta, APA) {
|
||
var t = beta+beta;
|
||
return(beta + APA[0] * Math.sin(t) + APA[1] * Math.sin(t+t) + APA[2] * Math.sin(t+t+t));
|
||
}
|
||
|
||
};
|
||
|
||
|
||
|
||
/* ======================================================================
|
||
projCode/aeqd.js
|
||
====================================================================== */
|
||
|
||
Proj4js.Proj.aeqd = {
|
||
|
||
init : function() {
|
||
this.sin_p12=Math.sin(this.lat0);
|
||
this.cos_p12=Math.cos(this.lat0);
|
||
},
|
||
|
||
forward: function(p) {
|
||
var lon=p.x;
|
||
var lat=p.y;
|
||
var ksp;
|
||
|
||
var sinphi=Math.sin(p.y);
|
||
var cosphi=Math.cos(p.y);
|
||
var dlon = Proj4js.common.adjust_lon(lon - this.long0);
|
||
var coslon = Math.cos(dlon);
|
||
var g = this.sin_p12 * sinphi + this.cos_p12 * cosphi * coslon;
|
||
if (Math.abs(Math.abs(g) - 1.0) < Proj4js.common.EPSLN) {
|
||
ksp = 1.0;
|
||
if (g < 0.0) {
|
||
Proj4js.reportError("aeqd:Fwd:PointError");
|
||
return;
|
||
}
|
||
} else {
|
||
var z = Math.acos(g);
|
||
ksp = z/Math.sin(z);
|
||
}
|
||
p.x = this.x0 + this.a * ksp * cosphi * Math.sin(dlon);
|
||
p.y = this.y0 + this.a * ksp * (this.cos_p12 * sinphi - this.sin_p12 * cosphi * coslon);
|
||
return p;
|
||
},
|
||
|
||
inverse: function(p){
|
||
p.x -= this.x0;
|
||
p.y -= this.y0;
|
||
|
||
var rh = Math.sqrt(p.x * p.x + p.y *p.y);
|
||
if (rh > (2.0 * Proj4js.common.HALF_PI * this.a)) {
|
||
Proj4js.reportError("aeqdInvDataError");
|
||
return;
|
||
}
|
||
var z = rh / this.a;
|
||
|
||
var sinz=Math.sin(z);
|
||
var cosz=Math.cos(z);
|
||
|
||
var lon = this.long0;
|
||
var lat;
|
||
if (Math.abs(rh) <= Proj4js.common.EPSLN) {
|
||
lat = this.lat0;
|
||
} else {
|
||
lat = Proj4js.common.asinz(cosz * this.sin_p12 + (p.y * sinz * this.cos_p12) / rh);
|
||
var con = Math.abs(this.lat0) - Proj4js.common.HALF_PI;
|
||
if (Math.abs(con) <= Proj4js.common.EPSLN) {
|
||
if (this.lat0 >= 0.0) {
|
||
lon = Proj4js.common.adjust_lon(this.long0 + Math.atan2(p.x , -p.y));
|
||
} else {
|
||
lon = Proj4js.common.adjust_lon(this.long0 - Math.atan2(-p.x , p.y));
|
||
}
|
||
} else {
|
||
con = cosz - this.sin_p12 * Math.sin(lat);
|
||
if ((Math.abs(con) < Proj4js.common.EPSLN) && (Math.abs(p.x) < Proj4js.common.EPSLN)) {
|
||
//no-op, just keep the lon value as is
|
||
} else {
|
||
var temp = Math.atan2((p.x * sinz * this.cos_p12), (con * rh));
|
||
lon = Proj4js.common.adjust_lon(this.long0 + Math.atan2((p.x * sinz * this.cos_p12), (con * rh)));
|
||
}
|
||
}
|
||
}
|
||
|
||
p.x = lon;
|
||
p.y = lat;
|
||
return p;
|
||
}
|
||
};
|
||
/* ======================================================================
|
||
projCode/moll.js
|
||
====================================================================== */
|
||
|
||
/*******************************************************************************
|
||
NAME MOLLWEIDE
|
||
|
||
PURPOSE: Transforms input longitude and latitude to Easting and
|
||
Northing for the MOllweide projection. The
|
||
longitude and latitude must be in radians. The Easting
|
||
and Northing values will be returned in meters.
|
||
|
||
PROGRAMMER DATE
|
||
---------- ----
|
||
D. Steinwand, EROS May, 1991; Updated Sept, 1992; Updated Feb, 1993
|
||
S. Nelson, EDC Jun, 2993; Made corrections in precision and
|
||
number of iterations.
|
||
|
||
ALGORITHM REFERENCES
|
||
|
||
1. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections",
|
||
U.S. Geological Survey Professional Paper 1453 , United State Government
|
||
Printing Office, Washington D.C., 1989.
|
||
|
||
2. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological
|
||
Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United
|
||
State Government Printing Office, Washington D.C., 1987.
|
||
*******************************************************************************/
|
||
|
||
Proj4js.Proj.moll = {
|
||
|
||
/* Initialize the Mollweide projection
|
||
------------------------------------*/
|
||
init: function(){
|
||
//no-op
|
||
},
|
||
|
||
/* Mollweide forward equations--mapping lat,long to x,y
|
||
----------------------------------------------------*/
|
||
forward: function(p) {
|
||
|
||
/* Forward equations
|
||
-----------------*/
|
||
var lon=p.x;
|
||
var lat=p.y;
|
||
|
||
var delta_lon = Proj4js.common.adjust_lon(lon - this.long0);
|
||
var theta = lat;
|
||
var con = Proj4js.common.PI * Math.sin(lat);
|
||
|
||
/* Iterate using the Newton-Raphson method to find theta
|
||
-----------------------------------------------------*/
|
||
for (var i=0;true;i++) {
|
||
var delta_theta = -(theta + Math.sin(theta) - con)/ (1.0 + Math.cos(theta));
|
||
theta += delta_theta;
|
||
if (Math.abs(delta_theta) < Proj4js.common.EPSLN) break;
|
||
if (i >= 50) {
|
||
Proj4js.reportError("moll:Fwd:IterationError");
|
||
//return(241);
|
||
}
|
||
}
|
||
theta /= 2.0;
|
||
|
||
/* If the latitude is 90 deg, force the x coordinate to be "0 + false easting"
|
||
this is done here because of precision problems with "cos(theta)"
|
||
--------------------------------------------------------------------------*/
|
||
if (Proj4js.common.PI/2 - Math.abs(lat) < Proj4js.common.EPSLN) delta_lon =0;
|
||
var x = 0.900316316158 * this.a * delta_lon * Math.cos(theta) + this.x0;
|
||
var y = 1.4142135623731 * this.a * Math.sin(theta) + this.y0;
|
||
|
||
p.x=x;
|
||
p.y=y;
|
||
return p;
|
||
},
|
||
|
||
inverse: function(p){
|
||
var theta;
|
||
var arg;
|
||
|
||
/* Inverse equations
|
||
-----------------*/
|
||
p.x-= this.x0;
|
||
//~ p.y -= this.y0;
|
||
var arg = p.y / (1.4142135623731 * this.a);
|
||
|
||
/* Because of division by zero problems, 'arg' can not be 1.0. Therefore
|
||
a number very close to one is used instead.
|
||
-------------------------------------------------------------------*/
|
||
if(Math.abs(arg) > 0.999999999999) arg=0.999999999999;
|
||
var theta =Math.asin(arg);
|
||
var lon = Proj4js.common.adjust_lon(this.long0 + (p.x / (0.900316316158 * this.a * Math.cos(theta))));
|
||
if(lon < (-Proj4js.common.PI)) lon= -Proj4js.common.PI;
|
||
if(lon > Proj4js.common.PI) lon= Proj4js.common.PI;
|
||
arg = (2.0 * theta + Math.sin(2.0 * theta)) / Proj4js.common.PI;
|
||
if(Math.abs(arg) > 1.0)arg=1.0;
|
||
var lat = Math.asin(arg);
|
||
//return(OK);
|
||
|
||
p.x=lon;
|
||
p.y=lat;
|
||
return p;
|
||
}
|
||
};
|
||
|