[76] | 1 | /* |
---|
| 2 | proj4js.js -- Javascript reprojection library. |
---|
| 3 | |
---|
| 4 | Authors: Mike Adair madairATdmsolutions.ca |
---|
| 5 | Richard Greenwood richATgreenwoodmap.com |
---|
| 6 | Didier Richard didier.richardATign.fr |
---|
| 7 | Stephen Irons |
---|
| 8 | License: LGPL as per: http://www.gnu.org/copyleft/lesser.html |
---|
| 9 | Note: This program is an almost direct port of the C library |
---|
| 10 | Proj4. |
---|
| 11 | */ |
---|
| 12 | /* ====================================================================== |
---|
| 13 | proj4js.js |
---|
| 14 | ====================================================================== */ |
---|
| 15 | |
---|
| 16 | /* |
---|
| 17 | Author: Mike Adair madairATdmsolutions.ca |
---|
| 18 | Richard Greenwood rich@greenwoodmap.com |
---|
| 19 | License: LGPL as per: http://www.gnu.org/copyleft/lesser.html |
---|
| 20 | |
---|
| 21 | $Id: Proj.js 2956 2007-07-09 12:17:52Z steven $ |
---|
| 22 | */ |
---|
| 23 | |
---|
| 24 | /** |
---|
| 25 | * Namespace: Proj4js |
---|
| 26 | * |
---|
| 27 | * Proj4js is a JavaScript library to transform point coordinates from one |
---|
| 28 | * coordinate system to another, including datum transformations. |
---|
| 29 | * |
---|
| 30 | * This library is a port of both the Proj.4 and GCTCP C libraries to JavaScript. |
---|
| 31 | * Enabling these transformations in the browser allows geographic data stored |
---|
| 32 | * in different projections to be combined in browser-based web mapping |
---|
| 33 | * applications. |
---|
| 34 | * |
---|
| 35 | * Proj4js must have access to coordinate system initialization strings (which |
---|
| 36 | * are the same as for PROJ.4 command line). Thes can be included in your |
---|
| 37 | * application using a <script> tag or Proj4js can load CS initialization |
---|
| 38 | * strings from a local directory or a web service such as spatialreference.org. |
---|
| 39 | * |
---|
| 40 | * Similarly, Proj4js must have access to projection transform code. These can |
---|
| 41 | * be included individually using a <script> tag in your page, built into a |
---|
| 42 | * custom build of Proj4js or loaded dynamically at run-time. Using the |
---|
| 43 | * -combined and -compressed versions of Proj4js includes all projection class |
---|
| 44 | * code by default. |
---|
| 45 | * |
---|
| 46 | * Note that dynamic loading of defs and code happens ascynchrously, check the |
---|
| 47 | * Proj.readyToUse flag before using the Proj object. If the defs and code |
---|
| 48 | * required by your application are loaded through script tags, dynamic loading |
---|
| 49 | * is not required and the Proj object will be readyToUse on return from the |
---|
| 50 | * constructor. |
---|
| 51 | * |
---|
| 52 | * All coordinates are handled as points which have a .x and a .y property |
---|
| 53 | * which will be modified in place. |
---|
| 54 | * |
---|
| 55 | * Override Proj4js.reportError for output of alerts and warnings. |
---|
| 56 | * |
---|
| 57 | * See http://trac.osgeo.org/proj4js/wiki/UserGuide for full details. |
---|
| 58 | */ |
---|
| 59 | |
---|
| 60 | /** |
---|
| 61 | * Global namespace object for Proj4js library |
---|
| 62 | */ |
---|
| 63 | Proj4js = { |
---|
| 64 | |
---|
| 65 | /** |
---|
| 66 | * Property: defaultDatum |
---|
| 67 | * The datum to use when no others a specified |
---|
| 68 | */ |
---|
| 69 | defaultDatum: 'WGS84', //default datum |
---|
| 70 | |
---|
| 71 | /** |
---|
| 72 | * Method: transform(source, dest, point) |
---|
| 73 | * Transform a point coordinate from one map projection to another. This is |
---|
| 74 | * really the only public method you should need to use. |
---|
| 75 | * |
---|
| 76 | * Parameters: |
---|
| 77 | * source - {Proj4js.Proj} source map projection for the transformation |
---|
| 78 | * dest - {Proj4js.Proj} destination map projection for the transformation |
---|
| 79 | * point - {Object} point to transform, may be geodetic (long, lat) or |
---|
| 80 | * projected Cartesian (x,y), but should always have x,y properties. |
---|
| 81 | */ |
---|
| 82 | transform: function(source, dest, point) { |
---|
| 83 | if (!source.readyToUse) { |
---|
| 84 | this.reportError("Proj4js initialization for:"+source.srsCode+" not yet complete"); |
---|
| 85 | return point; |
---|
| 86 | } |
---|
| 87 | if (!dest.readyToUse) { |
---|
| 88 | this.reportError("Proj4js initialization for:"+dest.srsCode+" not yet complete"); |
---|
| 89 | return point; |
---|
| 90 | } |
---|
| 91 | |
---|
| 92 | // Workaround for Spherical Mercator |
---|
| 93 | if ((source.srsProjNumber =="900913" && dest.datumCode != "WGS84" && !dest.datum_params) || |
---|
| 94 | (dest.srsProjNumber == "900913" && source.datumCode != "WGS84" && !source.datum_params)) { |
---|
| 95 | var wgs84 = Proj4js.WGS84; |
---|
| 96 | this.transform(source, wgs84, point); |
---|
| 97 | source = wgs84; |
---|
| 98 | } |
---|
| 99 | |
---|
| 100 | // DGR, 2010/11/12 |
---|
| 101 | if (source.axis!="enu") { |
---|
| 102 | this.adjust_axis(source,false,point); |
---|
| 103 | } |
---|
| 104 | |
---|
| 105 | // Transform source points to long/lat, if they aren't already. |
---|
| 106 | if ( source.projName=="longlat") { |
---|
| 107 | point.x *= Proj4js.common.D2R; // convert degrees to radians |
---|
| 108 | point.y *= Proj4js.common.D2R; |
---|
| 109 | } else { |
---|
| 110 | if (source.to_meter) { |
---|
| 111 | point.x *= source.to_meter; |
---|
| 112 | point.y *= source.to_meter; |
---|
| 113 | } |
---|
| 114 | source.inverse(point); // Convert Cartesian to longlat |
---|
| 115 | } |
---|
| 116 | |
---|
| 117 | // Adjust for the prime meridian if necessary |
---|
| 118 | if (source.from_greenwich) { |
---|
| 119 | point.x += source.from_greenwich; |
---|
| 120 | } |
---|
| 121 | |
---|
| 122 | // Convert datums if needed, and if possible. |
---|
| 123 | point = this.datum_transform( source.datum, dest.datum, point ); |
---|
| 124 | |
---|
| 125 | // Adjust for the prime meridian if necessary |
---|
| 126 | if (dest.from_greenwich) { |
---|
| 127 | point.x -= dest.from_greenwich; |
---|
| 128 | } |
---|
| 129 | |
---|
| 130 | if( dest.projName=="longlat" ) { |
---|
| 131 | // convert radians to decimal degrees |
---|
| 132 | point.x *= Proj4js.common.R2D; |
---|
| 133 | point.y *= Proj4js.common.R2D; |
---|
| 134 | } else { // else project |
---|
| 135 | dest.forward(point); |
---|
| 136 | if (dest.to_meter) { |
---|
| 137 | point.x /= dest.to_meter; |
---|
| 138 | point.y /= dest.to_meter; |
---|
| 139 | } |
---|
| 140 | } |
---|
| 141 | |
---|
| 142 | // DGR, 2010/11/12 |
---|
| 143 | if (dest.axis!="enu") { |
---|
| 144 | this.adjust_axis(dest,true,point); |
---|
| 145 | } |
---|
| 146 | |
---|
| 147 | return point; |
---|
| 148 | }, // transform() |
---|
| 149 | |
---|
| 150 | /** datum_transform() |
---|
| 151 | source coordinate system definition, |
---|
| 152 | destination coordinate system definition, |
---|
| 153 | point to transform in geodetic coordinates (long, lat, height) |
---|
| 154 | */ |
---|
| 155 | datum_transform : function( source, dest, point ) { |
---|
| 156 | |
---|
| 157 | // Short cut if the datums are identical. |
---|
| 158 | if( source.compare_datums( dest ) ) { |
---|
| 159 | return point; // in this case, zero is sucess, |
---|
| 160 | // whereas cs_compare_datums returns 1 to indicate TRUE |
---|
| 161 | // confusing, should fix this |
---|
| 162 | } |
---|
| 163 | |
---|
| 164 | // Explicitly skip datum transform by setting 'datum=none' as parameter for either source or dest |
---|
| 165 | if( source.datum_type == Proj4js.common.PJD_NODATUM |
---|
| 166 | || dest.datum_type == Proj4js.common.PJD_NODATUM) { |
---|
| 167 | return point; |
---|
| 168 | } |
---|
| 169 | |
---|
| 170 | // If this datum requires grid shifts, then apply it to geodetic coordinates. |
---|
| 171 | if( source.datum_type == Proj4js.common.PJD_GRIDSHIFT ) |
---|
| 172 | { |
---|
| 173 | alert("ERROR: Grid shift transformations are not implemented yet."); |
---|
| 174 | /* |
---|
| 175 | pj_apply_gridshift( pj_param(source.params,"snadgrids").s, 0, |
---|
| 176 | point_count, point_offset, x, y, z ); |
---|
| 177 | CHECK_RETURN; |
---|
| 178 | |
---|
| 179 | src_a = SRS_WGS84_SEMIMAJOR; |
---|
| 180 | src_es = 0.006694379990; |
---|
| 181 | */ |
---|
| 182 | } |
---|
| 183 | |
---|
| 184 | if( dest.datum_type == Proj4js.common.PJD_GRIDSHIFT ) |
---|
| 185 | { |
---|
| 186 | alert("ERROR: Grid shift transformations are not implemented yet."); |
---|
| 187 | /* |
---|
| 188 | dst_a = ; |
---|
| 189 | dst_es = 0.006694379990; |
---|
| 190 | */ |
---|
| 191 | } |
---|
| 192 | |
---|
| 193 | // Do we need to go through geocentric coordinates? |
---|
| 194 | if( source.es != dest.es || source.a != dest.a |
---|
| 195 | || source.datum_type == Proj4js.common.PJD_3PARAM |
---|
| 196 | || source.datum_type == Proj4js.common.PJD_7PARAM |
---|
| 197 | || dest.datum_type == Proj4js.common.PJD_3PARAM |
---|
| 198 | || dest.datum_type == Proj4js.common.PJD_7PARAM) |
---|
| 199 | { |
---|
| 200 | |
---|
| 201 | // Convert to geocentric coordinates. |
---|
| 202 | source.geodetic_to_geocentric( point ); |
---|
| 203 | // CHECK_RETURN; |
---|
| 204 | |
---|
| 205 | // Convert between datums |
---|
| 206 | if( source.datum_type == Proj4js.common.PJD_3PARAM || source.datum_type == Proj4js.common.PJD_7PARAM ) { |
---|
| 207 | source.geocentric_to_wgs84(point); |
---|
| 208 | // CHECK_RETURN; |
---|
| 209 | } |
---|
| 210 | |
---|
| 211 | if( dest.datum_type == Proj4js.common.PJD_3PARAM || dest.datum_type == Proj4js.common.PJD_7PARAM ) { |
---|
| 212 | dest.geocentric_from_wgs84(point); |
---|
| 213 | // CHECK_RETURN; |
---|
| 214 | } |
---|
| 215 | |
---|
| 216 | // Convert back to geodetic coordinates |
---|
| 217 | dest.geocentric_to_geodetic( point ); |
---|
| 218 | // CHECK_RETURN; |
---|
| 219 | } |
---|
| 220 | |
---|
| 221 | // Apply grid shift to destination if required |
---|
| 222 | if( dest.datum_type == Proj4js.common.PJD_GRIDSHIFT ) |
---|
| 223 | { |
---|
| 224 | alert("ERROR: Grid shift transformations are not implemented yet."); |
---|
| 225 | // pj_apply_gridshift( pj_param(dest.params,"snadgrids").s, 1, point); |
---|
| 226 | // CHECK_RETURN; |
---|
| 227 | } |
---|
| 228 | return point; |
---|
| 229 | }, // cs_datum_transform |
---|
| 230 | |
---|
| 231 | /** |
---|
| 232 | * Function: adjust_axis |
---|
| 233 | * Normalize or de-normalized the x/y/z axes. The normal form is "enu" |
---|
| 234 | * (easting, northing, up). |
---|
| 235 | * Parameters: |
---|
| 236 | * crs {Proj4js.Proj} the coordinate reference system |
---|
| 237 | * denorm {Boolean} when false, normalize |
---|
| 238 | * point {Object} the coordinates to adjust |
---|
| 239 | */ |
---|
| 240 | adjust_axis: function(crs, denorm, point) { |
---|
| 241 | var xin= point.x, yin= point.y, zin= point.z || 0.0; |
---|
| 242 | var v, t; |
---|
| 243 | for (var i= 0; i<3; i++) { |
---|
| 244 | if (denorm && i==2 && point.z===undefined) { continue; } |
---|
| 245 | if (i==0) { v= xin; t= 'x'; } |
---|
| 246 | else if (i==1) { v= yin; t= 'y'; } |
---|
| 247 | else { v= zin; t= 'z'; } |
---|
| 248 | switch(crs.axis[i]) { |
---|
| 249 | case 'e': |
---|
| 250 | point[t]= v; |
---|
| 251 | break; |
---|
| 252 | case 'w': |
---|
| 253 | point[t]= -v; |
---|
| 254 | break; |
---|
| 255 | case 'n': |
---|
| 256 | point[t]= v; |
---|
| 257 | break; |
---|
| 258 | case 's': |
---|
| 259 | point[t]= -v; |
---|
| 260 | break; |
---|
| 261 | case 'u': |
---|
| 262 | if (point[t]!==undefined) { point.z= v; } |
---|
| 263 | break; |
---|
| 264 | case 'd': |
---|
| 265 | if (point[t]!==undefined) { point.z= -v; } |
---|
| 266 | break; |
---|
| 267 | default : |
---|
| 268 | alert("ERROR: unknow axis ("+crs.axis[i]+") - check definition of "+src.projName); |
---|
| 269 | return null; |
---|
| 270 | } |
---|
| 271 | } |
---|
| 272 | return point; |
---|
| 273 | }, |
---|
| 274 | |
---|
| 275 | /** |
---|
| 276 | * Function: reportError |
---|
| 277 | * An internal method to report errors back to user. |
---|
| 278 | * Override this in applications to report error messages or throw exceptions. |
---|
| 279 | */ |
---|
| 280 | reportError: function(msg) { |
---|
| 281 | //console.log(msg); |
---|
| 282 | }, |
---|
| 283 | |
---|
| 284 | /** |
---|
| 285 | * |
---|
| 286 | * Title: Private Methods |
---|
| 287 | * The following properties and methods are intended for internal use only. |
---|
| 288 | * |
---|
| 289 | * This is a minimal implementation of JavaScript inheritance methods so that |
---|
| 290 | * Proj4js can be used as a stand-alone library. |
---|
| 291 | * These are copies of the equivalent OpenLayers methods at v2.7 |
---|
| 292 | */ |
---|
| 293 | |
---|
| 294 | /** |
---|
| 295 | * Function: extend |
---|
| 296 | * Copy all properties of a source object to a destination object. Modifies |
---|
| 297 | * the passed in destination object. Any properties on the source object |
---|
| 298 | * that are set to undefined will not be (re)set on the destination object. |
---|
| 299 | * |
---|
| 300 | * Parameters: |
---|
| 301 | * destination - {Object} The object that will be modified |
---|
| 302 | * source - {Object} The object with properties to be set on the destination |
---|
| 303 | * |
---|
| 304 | * Returns: |
---|
| 305 | * {Object} The destination object. |
---|
| 306 | */ |
---|
| 307 | extend: function(destination, source) { |
---|
| 308 | destination = destination || {}; |
---|
| 309 | if(source) { |
---|
| 310 | for(var property in source) { |
---|
| 311 | var value = source[property]; |
---|
| 312 | if(value !== undefined) { |
---|
| 313 | destination[property] = value; |
---|
| 314 | } |
---|
| 315 | } |
---|
| 316 | } |
---|
| 317 | return destination; |
---|
| 318 | }, |
---|
| 319 | |
---|
| 320 | /** |
---|
| 321 | * Constructor: Class |
---|
| 322 | * Base class used to construct all other classes. Includes support for |
---|
| 323 | * multiple inheritance. |
---|
| 324 | * |
---|
| 325 | */ |
---|
| 326 | Class: function() { |
---|
| 327 | var Class = function() { |
---|
| 328 | this.initialize.apply(this, arguments); |
---|
| 329 | }; |
---|
| 330 | |
---|
| 331 | var extended = {}; |
---|
| 332 | var parent; |
---|
| 333 | for(var i=0; i<arguments.length; ++i) { |
---|
| 334 | if(typeof arguments[i] == "function") { |
---|
| 335 | // get the prototype of the superclass |
---|
| 336 | parent = arguments[i].prototype; |
---|
| 337 | } else { |
---|
| 338 | // in this case we're extending with the prototype |
---|
| 339 | parent = arguments[i]; |
---|
| 340 | } |
---|
| 341 | Proj4js.extend(extended, parent); |
---|
| 342 | } |
---|
| 343 | Class.prototype = extended; |
---|
| 344 | |
---|
| 345 | return Class; |
---|
| 346 | }, |
---|
| 347 | |
---|
| 348 | /** |
---|
| 349 | * Function: bind |
---|
| 350 | * Bind a function to an object. Method to easily create closures with |
---|
| 351 | * 'this' altered. |
---|
| 352 | * |
---|
| 353 | * Parameters: |
---|
| 354 | * func - {Function} Input function. |
---|
| 355 | * object - {Object} The object to bind to the input function (as this). |
---|
| 356 | * |
---|
| 357 | * Returns: |
---|
| 358 | * {Function} A closure with 'this' set to the passed in object. |
---|
| 359 | */ |
---|
| 360 | bind: function(func, object) { |
---|
| 361 | // create a reference to all arguments past the second one |
---|
| 362 | var args = Array.prototype.slice.apply(arguments, [2]); |
---|
| 363 | return function() { |
---|
| 364 | // Push on any additional arguments from the actual function call. |
---|
| 365 | // These will come after those sent to the bind call. |
---|
| 366 | var newArgs = args.concat( |
---|
| 367 | Array.prototype.slice.apply(arguments, [0]) |
---|
| 368 | ); |
---|
| 369 | return func.apply(object, newArgs); |
---|
| 370 | }; |
---|
| 371 | }, |
---|
| 372 | |
---|
| 373 | /** |
---|
| 374 | * The following properties and methods handle dynamic loading of JSON objects. |
---|
| 375 | */ |
---|
| 376 | |
---|
| 377 | /** |
---|
| 378 | * Property: scriptName |
---|
| 379 | * {String} The filename of this script without any path. |
---|
| 380 | */ |
---|
| 381 | scriptName: "proj4js-combined.js", |
---|
| 382 | |
---|
| 383 | /** |
---|
| 384 | * Property: defsLookupService |
---|
| 385 | * AJAX service to retreive projection definition parameters from |
---|
| 386 | */ |
---|
| 387 | defsLookupService: 'http://spatialreference.org/ref', |
---|
| 388 | |
---|
| 389 | /** |
---|
| 390 | * Property: libPath |
---|
| 391 | * internal: http server path to library code. |
---|
| 392 | */ |
---|
| 393 | libPath: null, |
---|
| 394 | |
---|
| 395 | /** |
---|
| 396 | * Function: getScriptLocation |
---|
| 397 | * Return the path to this script. |
---|
| 398 | * |
---|
| 399 | * Returns: |
---|
| 400 | * Path to this script |
---|
| 401 | */ |
---|
| 402 | getScriptLocation: function () { |
---|
| 403 | if (this.libPath) return this.libPath; |
---|
| 404 | var scriptName = this.scriptName; |
---|
| 405 | var scriptNameLen = scriptName.length; |
---|
| 406 | |
---|
| 407 | var scripts = document.getElementsByTagName('script'); |
---|
| 408 | for (var i = 0; i < scripts.length; i++) { |
---|
| 409 | var src = scripts[i].getAttribute('src'); |
---|
| 410 | if (src) { |
---|
| 411 | var index = src.lastIndexOf(scriptName); |
---|
| 412 | // is it found, at the end of the URL? |
---|
| 413 | if ((index > -1) && (index + scriptNameLen == src.length)) { |
---|
| 414 | this.libPath = src.slice(0, -scriptNameLen); |
---|
| 415 | break; |
---|
| 416 | } |
---|
| 417 | } |
---|
| 418 | } |
---|
| 419 | return this.libPath||""; |
---|
| 420 | }, |
---|
| 421 | |
---|
| 422 | /** |
---|
| 423 | * Function: loadScript |
---|
| 424 | * Load a JS file from a URL into a <script> tag in the page. |
---|
| 425 | * |
---|
| 426 | * Parameters: |
---|
| 427 | * url - {String} The URL containing the script to load |
---|
| 428 | * onload - {Function} A method to be executed when the script loads successfully |
---|
| 429 | * onfail - {Function} A method to be executed when there is an error loading the script |
---|
| 430 | * loadCheck - {Function} A boolean method that checks to see if the script |
---|
| 431 | * has loaded. Typically this just checks for the existance of |
---|
| 432 | * an object in the file just loaded. |
---|
| 433 | */ |
---|
| 434 | loadScript: function(url, onload, onfail, loadCheck) { |
---|
| 435 | var script = document.createElement('script'); |
---|
| 436 | script.defer = false; |
---|
| 437 | script.type = "text/javascript"; |
---|
| 438 | script.id = url; |
---|
| 439 | script.src = url; |
---|
| 440 | script.onload = onload; |
---|
| 441 | script.onerror = onfail; |
---|
| 442 | script.loadCheck = loadCheck; |
---|
| 443 | if (/MSIE/.test(navigator.userAgent)) { |
---|
| 444 | script.onreadystatechange = this.checkReadyState; |
---|
| 445 | } |
---|
| 446 | document.getElementsByTagName('head')[0].appendChild(script); |
---|
| 447 | }, |
---|
| 448 | |
---|
| 449 | /** |
---|
| 450 | * Function: checkReadyState |
---|
| 451 | * IE workaround since there is no onerror handler. Calls the user defined |
---|
| 452 | * loadCheck method to determine if the script is loaded. |
---|
| 453 | * |
---|
| 454 | */ |
---|
| 455 | checkReadyState: function() { |
---|
| 456 | if (this.readyState == 'loaded') { |
---|
| 457 | if (!this.loadCheck()) { |
---|
| 458 | this.onerror(); |
---|
| 459 | } else { |
---|
| 460 | this.onload(); |
---|
| 461 | } |
---|
| 462 | } |
---|
| 463 | } |
---|
| 464 | }; |
---|
| 465 | |
---|
| 466 | /** |
---|
| 467 | * Class: Proj4js.Proj |
---|
| 468 | * |
---|
| 469 | * Proj objects provide transformation methods for point coordinates |
---|
| 470 | * between geodetic latitude/longitude and a projected coordinate system. |
---|
| 471 | * once they have been initialized with a projection code. |
---|
| 472 | * |
---|
| 473 | * Initialization of Proj objects is with a projection code, usually EPSG codes, |
---|
| 474 | * which is the key that will be used with the Proj4js.defs array. |
---|
| 475 | * |
---|
| 476 | * The code passed in will be stripped of colons and converted to uppercase |
---|
| 477 | * to locate projection definition files. |
---|
| 478 | * |
---|
| 479 | * A projection object has properties for units and title strings. |
---|
| 480 | */ |
---|
| 481 | Proj4js.Proj = Proj4js.Class({ |
---|
| 482 | |
---|
| 483 | /** |
---|
| 484 | * Property: readyToUse |
---|
| 485 | * Flag to indicate if initialization is complete for this Proj object |
---|
| 486 | */ |
---|
| 487 | readyToUse: false, |
---|
| 488 | |
---|
| 489 | /** |
---|
| 490 | * Property: title |
---|
| 491 | * The title to describe the projection |
---|
| 492 | */ |
---|
| 493 | title: null, |
---|
| 494 | |
---|
| 495 | /** |
---|
| 496 | * Property: projName |
---|
| 497 | * The projection class for this projection, e.g. lcc (lambert conformal conic, |
---|
| 498 | * or merc for mercator). These are exactly equivalent to their Proj4 |
---|
| 499 | * counterparts. |
---|
| 500 | */ |
---|
| 501 | projName: null, |
---|
| 502 | /** |
---|
| 503 | * Property: units |
---|
| 504 | * The units of the projection. Values include 'm' and 'degrees' |
---|
| 505 | */ |
---|
| 506 | units: null, |
---|
| 507 | /** |
---|
| 508 | * Property: datum |
---|
| 509 | * The datum specified for the projection |
---|
| 510 | */ |
---|
| 511 | datum: null, |
---|
| 512 | /** |
---|
| 513 | * Property: x0 |
---|
| 514 | * The x coordinate origin |
---|
| 515 | */ |
---|
| 516 | x0: 0, |
---|
| 517 | /** |
---|
| 518 | * Property: y0 |
---|
| 519 | * The y coordinate origin |
---|
| 520 | */ |
---|
| 521 | y0: 0, |
---|
| 522 | /** |
---|
| 523 | * Property: localCS |
---|
| 524 | * Flag to indicate if the projection is a local one in which no transforms |
---|
| 525 | * are required. |
---|
| 526 | */ |
---|
| 527 | localCS: false, |
---|
| 528 | |
---|
| 529 | /** |
---|
| 530 | * Property: queue |
---|
| 531 | * Buffer (FIFO) to hold callbacks waiting to be called when projection loaded. |
---|
| 532 | */ |
---|
| 533 | queue: null, |
---|
| 534 | |
---|
| 535 | /** |
---|
| 536 | * Constructor: initialize |
---|
| 537 | * Constructor for Proj4js.Proj objects |
---|
| 538 | * |
---|
| 539 | * Parameters: |
---|
| 540 | * srsCode - a code for map projection definition parameters. These are usually |
---|
| 541 | * (but not always) EPSG codes. |
---|
| 542 | */ |
---|
| 543 | initialize: function(srsCode, callback) { |
---|
| 544 | this.srsCodeInput = srsCode; |
---|
| 545 | |
---|
| 546 | //Register callbacks prior to attempting to process definition |
---|
| 547 | this.queue = []; |
---|
| 548 | if( callback ){ |
---|
| 549 | this.queue.push( callback ); |
---|
| 550 | } |
---|
| 551 | |
---|
| 552 | //check to see if this is a WKT string |
---|
| 553 | if ((srsCode.indexOf('GEOGCS') >= 0) || |
---|
| 554 | (srsCode.indexOf('GEOCCS') >= 0) || |
---|
| 555 | (srsCode.indexOf('PROJCS') >= 0) || |
---|
| 556 | (srsCode.indexOf('LOCAL_CS') >= 0)) { |
---|
| 557 | this.parseWKT(srsCode); |
---|
| 558 | this.deriveConstants(); |
---|
| 559 | this.loadProjCode(this.projName); |
---|
| 560 | return; |
---|
| 561 | } |
---|
| 562 | |
---|
| 563 | // DGR 2008-08-03 : support urn and url |
---|
| 564 | if (srsCode.indexOf('urn:') == 0) { |
---|
| 565 | //urn:ORIGINATOR:def:crs:CODESPACE:VERSION:ID |
---|
| 566 | var urn = srsCode.split(':'); |
---|
| 567 | if ((urn[1] == 'ogc' || urn[1] =='x-ogc') && |
---|
| 568 | (urn[2] =='def') && |
---|
| 569 | (urn[3] =='crs')) { |
---|
| 570 | srsCode = urn[4]+':'+urn[urn.length-1]; |
---|
| 571 | } |
---|
| 572 | } else if (srsCode.indexOf('http://') == 0) { |
---|
| 573 | //url#ID |
---|
| 574 | var url = srsCode.split('#'); |
---|
| 575 | if (url[0].match(/epsg.org/)) { |
---|
| 576 | // http://www.epsg.org/# |
---|
| 577 | srsCode = 'EPSG:'+url[1]; |
---|
| 578 | } else if (url[0].match(/RIG.xml/)) { |
---|
| 579 | //http://librairies.ign.fr/geoportail/resources/RIG.xml# |
---|
| 580 | //http://interop.ign.fr/registers/ign/RIG.xml# |
---|
| 581 | srsCode = 'IGNF:'+url[1]; |
---|
| 582 | } |
---|
| 583 | } |
---|
| 584 | this.srsCode = srsCode.toUpperCase(); |
---|
| 585 | if (this.srsCode.indexOf("EPSG") == 0) { |
---|
| 586 | this.srsCode = this.srsCode; |
---|
| 587 | this.srsAuth = 'epsg'; |
---|
| 588 | this.srsProjNumber = this.srsCode.substring(5); |
---|
| 589 | // DGR 2007-11-20 : authority IGNF |
---|
| 590 | } else if (this.srsCode.indexOf("IGNF") == 0) { |
---|
| 591 | this.srsCode = this.srsCode; |
---|
| 592 | this.srsAuth = 'IGNF'; |
---|
| 593 | this.srsProjNumber = this.srsCode.substring(5); |
---|
| 594 | // DGR 2008-06-19 : pseudo-authority CRS for WMS |
---|
| 595 | } else if (this.srsCode.indexOf("CRS") == 0) { |
---|
| 596 | this.srsCode = this.srsCode; |
---|
| 597 | this.srsAuth = 'CRS'; |
---|
| 598 | this.srsProjNumber = this.srsCode.substring(4); |
---|
| 599 | } else { |
---|
| 600 | this.srsAuth = ''; |
---|
| 601 | this.srsProjNumber = this.srsCode; |
---|
| 602 | } |
---|
| 603 | |
---|
| 604 | this.loadProjDefinition(); |
---|
| 605 | }, |
---|
| 606 | |
---|
| 607 | /** |
---|
| 608 | * Function: loadProjDefinition |
---|
| 609 | * Loads the coordinate system initialization string if required. |
---|
| 610 | * Note that dynamic loading happens asynchronously so an application must |
---|
| 611 | * wait for the readyToUse property is set to true. |
---|
| 612 | * To prevent dynamic loading, include the defs through a script tag in |
---|
| 613 | * your application. |
---|
| 614 | * |
---|
| 615 | */ |
---|
| 616 | loadProjDefinition: function() { |
---|
| 617 | //check in memory |
---|
| 618 | if (Proj4js.defs[this.srsCode]) { |
---|
| 619 | this.defsLoaded(); |
---|
| 620 | return; |
---|
| 621 | } |
---|
| 622 | |
---|
| 623 | //else check for def on the server |
---|
| 624 | var url = Proj4js.getScriptLocation() + 'defs/' + this.srsAuth.toUpperCase() + this.srsProjNumber + '.js'; |
---|
| 625 | Proj4js.loadScript(url, |
---|
| 626 | Proj4js.bind(this.defsLoaded, this), |
---|
| 627 | Proj4js.bind(this.loadFromService, this), |
---|
| 628 | Proj4js.bind(this.checkDefsLoaded, this) ); |
---|
| 629 | }, |
---|
| 630 | |
---|
| 631 | /** |
---|
| 632 | * Function: loadFromService |
---|
| 633 | * Creates the REST URL for loading the definition from a web service and |
---|
| 634 | * loads it. |
---|
| 635 | * |
---|
| 636 | */ |
---|
| 637 | loadFromService: function() { |
---|
| 638 | //else load from web service |
---|
| 639 | var url = Proj4js.defsLookupService +'/' + this.srsAuth +'/'+ this.srsProjNumber + '/proj4js/'; |
---|
| 640 | Proj4js.loadScript(url, |
---|
| 641 | Proj4js.bind(this.defsLoaded, this), |
---|
| 642 | Proj4js.bind(this.defsFailed, this), |
---|
| 643 | Proj4js.bind(this.checkDefsLoaded, this) ); |
---|
| 644 | }, |
---|
| 645 | |
---|
| 646 | /** |
---|
| 647 | * Function: defsLoaded |
---|
| 648 | * Continues the Proj object initilization once the def file is loaded |
---|
| 649 | * |
---|
| 650 | */ |
---|
| 651 | defsLoaded: function() { |
---|
| 652 | this.parseDefs(); |
---|
| 653 | this.loadProjCode(this.projName); |
---|
| 654 | }, |
---|
| 655 | |
---|
| 656 | /** |
---|
| 657 | * Function: checkDefsLoaded |
---|
| 658 | * This is the loadCheck method to see if the def object exists |
---|
| 659 | * |
---|
| 660 | */ |
---|
| 661 | checkDefsLoaded: function() { |
---|
| 662 | if (Proj4js.defs[this.srsCode]) { |
---|
| 663 | return true; |
---|
| 664 | } else { |
---|
| 665 | return false; |
---|
| 666 | } |
---|
| 667 | }, |
---|
| 668 | |
---|
| 669 | /** |
---|
| 670 | * Function: defsFailed |
---|
| 671 | * Report an error in loading the defs file, but continue on using WGS84 |
---|
| 672 | * |
---|
| 673 | */ |
---|
| 674 | defsFailed: function() { |
---|
| 675 | Proj4js.reportError('failed to load projection definition for: '+this.srsCode); |
---|
| 676 | Proj4js.defs[this.srsCode] = Proj4js.defs['WGS84']; //set it to something so it can at least continue |
---|
| 677 | this.defsLoaded(); |
---|
| 678 | }, |
---|
| 679 | |
---|
| 680 | /** |
---|
| 681 | * Function: loadProjCode |
---|
| 682 | * Loads projection class code dynamically if required. |
---|
| 683 | * Projection code may be included either through a script tag or in |
---|
| 684 | * a built version of proj4js |
---|
| 685 | * |
---|
| 686 | */ |
---|
| 687 | loadProjCode: function(projName) { |
---|
| 688 | if (Proj4js.Proj[projName]) { |
---|
| 689 | this.initTransforms(); |
---|
| 690 | return; |
---|
| 691 | } |
---|
| 692 | |
---|
| 693 | //the URL for the projection code |
---|
| 694 | var url = Proj4js.getScriptLocation() + 'projCode/' + projName + '.js'; |
---|
| 695 | Proj4js.loadScript(url, |
---|
| 696 | Proj4js.bind(this.loadProjCodeSuccess, this, projName), |
---|
| 697 | Proj4js.bind(this.loadProjCodeFailure, this, projName), |
---|
| 698 | Proj4js.bind(this.checkCodeLoaded, this, projName) ); |
---|
| 699 | }, |
---|
| 700 | |
---|
| 701 | /** |
---|
| 702 | * Function: loadProjCodeSuccess |
---|
| 703 | * Loads any proj dependencies or continue on to final initialization. |
---|
| 704 | * |
---|
| 705 | */ |
---|
| 706 | loadProjCodeSuccess: function(projName) { |
---|
| 707 | if (Proj4js.Proj[projName].dependsOn){ |
---|
| 708 | this.loadProjCode(Proj4js.Proj[projName].dependsOn); |
---|
| 709 | } else { |
---|
| 710 | this.initTransforms(); |
---|
| 711 | } |
---|
| 712 | }, |
---|
| 713 | |
---|
| 714 | /** |
---|
| 715 | * Function: defsFailed |
---|
| 716 | * Report an error in loading the proj file. Initialization of the Proj |
---|
| 717 | * object has failed and the readyToUse flag will never be set. |
---|
| 718 | * |
---|
| 719 | */ |
---|
| 720 | loadProjCodeFailure: function(projName) { |
---|
| 721 | Proj4js.reportError("failed to find projection file for: " + projName); |
---|
| 722 | //TBD initialize with identity transforms so proj will still work? |
---|
| 723 | }, |
---|
| 724 | |
---|
| 725 | /** |
---|
| 726 | * Function: checkCodeLoaded |
---|
| 727 | * This is the loadCheck method to see if the projection code is loaded |
---|
| 728 | * |
---|
| 729 | */ |
---|
| 730 | checkCodeLoaded: function(projName) { |
---|
| 731 | if (Proj4js.Proj[projName]) { |
---|
| 732 | return true; |
---|
| 733 | } else { |
---|
| 734 | return false; |
---|
| 735 | } |
---|
| 736 | }, |
---|
| 737 | |
---|
| 738 | /** |
---|
| 739 | * Function: initTransforms |
---|
| 740 | * Finalize the initialization of the Proj object |
---|
| 741 | * |
---|
| 742 | */ |
---|
| 743 | initTransforms: function() { |
---|
| 744 | Proj4js.extend(this, Proj4js.Proj[this.projName]); |
---|
| 745 | this.init(); |
---|
| 746 | this.readyToUse = true; |
---|
| 747 | if( this.queue ) { |
---|
| 748 | var item; |
---|
| 749 | while( (item = this.queue.shift()) ) { |
---|
| 750 | item.call( this, this ); |
---|
| 751 | } |
---|
| 752 | } |
---|
| 753 | }, |
---|
| 754 | |
---|
| 755 | /** |
---|
| 756 | * Function: parseWKT |
---|
| 757 | * Parses a WKT string to get initialization parameters |
---|
| 758 | * |
---|
| 759 | */ |
---|
| 760 | wktRE: /^(\w+)\[(.*)\]$/, |
---|
| 761 | parseWKT: function(wkt) { |
---|
| 762 | var wktMatch = wkt.match(this.wktRE); |
---|
| 763 | if (!wktMatch) return; |
---|
| 764 | var wktObject = wktMatch[1]; |
---|
| 765 | var wktContent = wktMatch[2]; |
---|
| 766 | var wktTemp = wktContent.split(","); |
---|
| 767 | var wktName; |
---|
| 768 | if (wktObject.toUpperCase() == "TOWGS84") { |
---|
| 769 | wktName = wktObject; //no name supplied for the TOWGS84 array |
---|
| 770 | } else { |
---|
| 771 | wktName = wktTemp.shift(); |
---|
| 772 | } |
---|
| 773 | wktName = wktName.replace(/^\"/,""); |
---|
| 774 | wktName = wktName.replace(/\"$/,""); |
---|
| 775 | |
---|
| 776 | /* |
---|
| 777 | wktContent = wktTemp.join(","); |
---|
| 778 | var wktArray = wktContent.split("],"); |
---|
| 779 | for (var i=0; i<wktArray.length-1; ++i) { |
---|
| 780 | wktArray[i] += "]"; |
---|
| 781 | } |
---|
| 782 | */ |
---|
| 783 | |
---|
| 784 | var wktArray = new Array(); |
---|
| 785 | var bkCount = 0; |
---|
| 786 | var obj = ""; |
---|
| 787 | for (var i=0; i<wktTemp.length; ++i) { |
---|
| 788 | var token = wktTemp[i]; |
---|
| 789 | for (var j=0; j<token.length; ++j) { |
---|
| 790 | if (token.charAt(j) == "[") ++bkCount; |
---|
| 791 | if (token.charAt(j) == "]") --bkCount; |
---|
| 792 | } |
---|
| 793 | obj += token; |
---|
| 794 | if (bkCount === 0) { |
---|
| 795 | wktArray.push(obj); |
---|
| 796 | obj = ""; |
---|
| 797 | } else { |
---|
| 798 | obj += ","; |
---|
| 799 | } |
---|
| 800 | } |
---|
| 801 | |
---|
| 802 | //do something based on the type of the wktObject being parsed |
---|
| 803 | //add in variations in the spelling as required |
---|
| 804 | switch (wktObject) { |
---|
| 805 | case 'LOCAL_CS': |
---|
| 806 | this.projName = 'identity' |
---|
| 807 | this.localCS = true; |
---|
| 808 | this.srsCode = wktName; |
---|
| 809 | break; |
---|
| 810 | case 'GEOGCS': |
---|
| 811 | this.projName = 'longlat' |
---|
| 812 | this.geocsCode = wktName; |
---|
| 813 | if (!this.srsCode) this.srsCode = wktName; |
---|
| 814 | break; |
---|
| 815 | case 'PROJCS': |
---|
| 816 | this.srsCode = wktName; |
---|
| 817 | break; |
---|
| 818 | case 'GEOCCS': |
---|
| 819 | break; |
---|
| 820 | case 'PROJECTION': |
---|
| 821 | this.projName = Proj4js.wktProjections[wktName] |
---|
| 822 | break; |
---|
| 823 | case 'DATUM': |
---|
| 824 | this.datumName = wktName; |
---|
| 825 | break; |
---|
| 826 | case 'LOCAL_DATUM': |
---|
| 827 | this.datumCode = 'none'; |
---|
| 828 | break; |
---|
| 829 | case 'SPHEROID': |
---|
| 830 | this.ellps = wktName; |
---|
| 831 | this.a = parseFloat(wktArray.shift()); |
---|
| 832 | this.rf = parseFloat(wktArray.shift()); |
---|
| 833 | break; |
---|
| 834 | case 'PRIMEM': |
---|
| 835 | this.from_greenwich = parseFloat(wktArray.shift()); //to radians? |
---|
| 836 | break; |
---|
| 837 | case 'UNIT': |
---|
| 838 | this.units = wktName; |
---|
| 839 | this.unitsPerMeter = parseFloat(wktArray.shift()); |
---|
| 840 | break; |
---|
| 841 | case 'PARAMETER': |
---|
| 842 | var name = wktName.toLowerCase(); |
---|
| 843 | var value = parseFloat(wktArray.shift()); |
---|
| 844 | //there may be many variations on the wktName values, add in case |
---|
| 845 | //statements as required |
---|
| 846 | switch (name) { |
---|
| 847 | case 'false_easting': |
---|
| 848 | this.x0 = value; |
---|
| 849 | break; |
---|
| 850 | case 'false_northing': |
---|
| 851 | this.y0 = value; |
---|
| 852 | break; |
---|
| 853 | case 'scale_factor': |
---|
| 854 | this.k0 = value; |
---|
| 855 | break; |
---|
| 856 | case 'central_meridian': |
---|
| 857 | this.long0 = value*Proj4js.common.D2R; |
---|
| 858 | break; |
---|
| 859 | case 'latitude_of_origin': |
---|
| 860 | this.lat0 = value*Proj4js.common.D2R; |
---|
| 861 | break; |
---|
| 862 | case 'more_here': |
---|
| 863 | break; |
---|
| 864 | default: |
---|
| 865 | break; |
---|
| 866 | } |
---|
| 867 | break; |
---|
| 868 | case 'TOWGS84': |
---|
| 869 | this.datum_params = wktArray; |
---|
| 870 | break; |
---|
| 871 | //DGR 2010-11-12: AXIS |
---|
| 872 | case 'AXIS': |
---|
| 873 | var name= wktName.toLowerCase(); |
---|
| 874 | var value= wktArray.shift(); |
---|
| 875 | switch (value) { |
---|
| 876 | case 'EAST' : value= 'e'; break; |
---|
| 877 | case 'WEST' : value= 'w'; break; |
---|
| 878 | case 'NORTH': value= 'n'; break; |
---|
| 879 | case 'SOUTH': value= 's'; break; |
---|
| 880 | case 'UP' : value= 'u'; break; |
---|
| 881 | case 'DOWN' : value= 'd'; break; |
---|
| 882 | case 'OTHER': |
---|
| 883 | default : value= ' '; break;//FIXME |
---|
| 884 | } |
---|
| 885 | if (!this.axis) { this.axis= "enu"; } |
---|
| 886 | switch(name) { |
---|
| 887 | case 'X': this.axis= value + this.axis.substr(1,2); break; |
---|
| 888 | case 'Y': this.axis= this.axis.substr(0,1) + value + this.axis.substr(2,1); break; |
---|
| 889 | case 'Z': this.axis= this.axis.substr(0,2) + value ; break; |
---|
| 890 | default : break; |
---|
| 891 | } |
---|
| 892 | case 'MORE_HERE': |
---|
| 893 | break; |
---|
| 894 | default: |
---|
| 895 | break; |
---|
| 896 | } |
---|
| 897 | for (var i=0; i<wktArray.length; ++i) { |
---|
| 898 | this.parseWKT(wktArray[i]); |
---|
| 899 | } |
---|
| 900 | }, |
---|
| 901 | |
---|
| 902 | /** |
---|
| 903 | * Function: parseDefs |
---|
| 904 | * Parses the PROJ.4 initialization string and sets the associated properties. |
---|
| 905 | * |
---|
| 906 | */ |
---|
| 907 | parseDefs: function() { |
---|
| 908 | this.defData = Proj4js.defs[this.srsCode]; |
---|
| 909 | var paramName, paramVal; |
---|
| 910 | if (!this.defData) { |
---|
| 911 | return; |
---|
| 912 | } |
---|
| 913 | var paramArray=this.defData.split("+"); |
---|
| 914 | |
---|
| 915 | for (var prop=0; prop<paramArray.length; prop++) { |
---|
| 916 | var property = paramArray[prop].split("="); |
---|
| 917 | paramName = property[0].toLowerCase(); |
---|
| 918 | paramVal = property[1]; |
---|
| 919 | |
---|
| 920 | switch (paramName.replace(/\s/gi,"")) { // trim out spaces |
---|
| 921 | case "": break; // throw away nameless parameter |
---|
| 922 | case "title": this.title = paramVal; break; |
---|
| 923 | case "proj": this.projName = paramVal.replace(/\s/gi,""); break; |
---|
| 924 | case "units": this.units = paramVal.replace(/\s/gi,""); break; |
---|
| 925 | case "datum": this.datumCode = paramVal.replace(/\s/gi,""); break; |
---|
| 926 | case "nadgrids": this.nagrids = paramVal.replace(/\s/gi,""); break; |
---|
| 927 | case "ellps": this.ellps = paramVal.replace(/\s/gi,""); break; |
---|
| 928 | case "a": this.a = parseFloat(paramVal); break; // semi-major radius |
---|
| 929 | case "b": this.b = parseFloat(paramVal); break; // semi-minor radius |
---|
| 930 | // DGR 2007-11-20 |
---|
| 931 | case "rf": this.rf = parseFloat(paramVal); break; // inverse flattening rf= a/(a-b) |
---|
| 932 | case "lat_0": this.lat0 = paramVal*Proj4js.common.D2R; break; // phi0, central latitude |
---|
| 933 | case "lat_1": this.lat1 = paramVal*Proj4js.common.D2R; break; //standard parallel 1 |
---|
| 934 | case "lat_2": this.lat2 = paramVal*Proj4js.common.D2R; break; //standard parallel 2 |
---|
| 935 | case "lat_ts": this.lat_ts = paramVal*Proj4js.common.D2R; break; // used in merc and eqc |
---|
| 936 | case "lon_0": this.long0 = paramVal*Proj4js.common.D2R; break; // lam0, central longitude |
---|
| 937 | case "alpha": this.alpha = parseFloat(paramVal)*Proj4js.common.D2R; break; //for somerc projection |
---|
| 938 | case "lonc": this.longc = paramVal*Proj4js.common.D2R; break; //for somerc projection |
---|
| 939 | case "x_0": this.x0 = parseFloat(paramVal); break; // false easting |
---|
| 940 | case "y_0": this.y0 = parseFloat(paramVal); break; // false northing |
---|
| 941 | case "k_0": this.k0 = parseFloat(paramVal); break; // projection scale factor |
---|
| 942 | case "k": this.k0 = parseFloat(paramVal); break; // both forms returned |
---|
| 943 | case "r_a": this.R_A = true; break; // sphere--area of ellipsoid |
---|
| 944 | case "zone": this.zone = parseInt(paramVal); break; // UTM Zone |
---|
| 945 | case "south": this.utmSouth = true; break; // UTM north/south |
---|
| 946 | case "towgs84":this.datum_params = paramVal.split(","); break; |
---|
| 947 | case "to_meter": this.to_meter = parseFloat(paramVal); break; // cartesian scaling |
---|
| 948 | case "from_greenwich": this.from_greenwich = paramVal*Proj4js.common.D2R; break; |
---|
| 949 | // DGR 2008-07-09 : if pm is not a well-known prime meridian take |
---|
| 950 | // the value instead of 0.0, then convert to radians |
---|
| 951 | case "pm": paramVal = paramVal.replace(/\s/gi,""); |
---|
| 952 | this.from_greenwich = Proj4js.PrimeMeridian[paramVal] ? |
---|
| 953 | Proj4js.PrimeMeridian[paramVal] : parseFloat(paramVal); |
---|
| 954 | this.from_greenwich *= Proj4js.common.D2R; |
---|
| 955 | break; |
---|
| 956 | // DGR 2010-11-12: axis |
---|
| 957 | case "axis": paramVal = paramVal.replace(/\s/gi,""); |
---|
| 958 | var legalAxis= "ewnsud"; |
---|
| 959 | if (paramVal.length==3 && |
---|
| 960 | legalAxis.indexOf(paramVal.substr(0,1))!=-1 && |
---|
| 961 | legalAxis.indexOf(paramVal.substr(1,1))!=-1 && |
---|
| 962 | legalAxis.indexOf(paramVal.substr(2,1))!=-1) { |
---|
| 963 | this.axis= paramVal; |
---|
| 964 | } //FIXME: be silent ? |
---|
| 965 | break |
---|
| 966 | case "no_defs": break; |
---|
| 967 | default: //alert("Unrecognized parameter: " + paramName); |
---|
| 968 | } // switch() |
---|
| 969 | } // for paramArray |
---|
| 970 | this.deriveConstants(); |
---|
| 971 | }, |
---|
| 972 | |
---|
| 973 | /** |
---|
| 974 | * Function: deriveConstants |
---|
| 975 | * Sets several derived constant values and initialization of datum and ellipse |
---|
| 976 | * parameters. |
---|
| 977 | * |
---|
| 978 | */ |
---|
| 979 | deriveConstants: function() { |
---|
| 980 | if (this.nagrids == '@null') this.datumCode = 'none'; |
---|
| 981 | if (this.datumCode && this.datumCode != 'none') { |
---|
| 982 | var datumDef = Proj4js.Datum[this.datumCode]; |
---|
| 983 | if (datumDef) { |
---|
| 984 | this.datum_params = datumDef.towgs84 ? datumDef.towgs84.split(',') : null; |
---|
| 985 | this.ellps = datumDef.ellipse; |
---|
| 986 | this.datumName = datumDef.datumName ? datumDef.datumName : this.datumCode; |
---|
| 987 | } |
---|
| 988 | } |
---|
| 989 | if (!this.a) { // do we have an ellipsoid? |
---|
| 990 | var ellipse = Proj4js.Ellipsoid[this.ellps] ? Proj4js.Ellipsoid[this.ellps] : Proj4js.Ellipsoid['WGS84']; |
---|
| 991 | Proj4js.extend(this, ellipse); |
---|
| 992 | } |
---|
| 993 | if (this.rf && !this.b) this.b = (1.0 - 1.0/this.rf) * this.a; |
---|
| 994 | if (Math.abs(this.a - this.b)<Proj4js.common.EPSLN) { |
---|
| 995 | this.sphere = true; |
---|
| 996 | this.b= this.a; |
---|
| 997 | } |
---|
| 998 | this.a2 = this.a * this.a; // used in geocentric |
---|
| 999 | this.b2 = this.b * this.b; // used in geocentric |
---|
| 1000 | this.es = (this.a2-this.b2)/this.a2; // e ^ 2 |
---|
| 1001 | this.e = Math.sqrt(this.es); // eccentricity |
---|
| 1002 | if (this.R_A) { |
---|
| 1003 | this.a *= 1. - this.es * (Proj4js.common.SIXTH + this.es * (Proj4js.common.RA4 + this.es * Proj4js.common.RA6)); |
---|
| 1004 | this.a2 = this.a * this.a; |
---|
| 1005 | this.b2 = this.b * this.b; |
---|
| 1006 | this.es = 0.; |
---|
| 1007 | } |
---|
| 1008 | this.ep2=(this.a2-this.b2)/this.b2; // used in geocentric |
---|
| 1009 | if (!this.k0) this.k0 = 1.0; //default value |
---|
| 1010 | //DGR 2010-11-12: axis |
---|
| 1011 | if (!this.axis) { this.axis= "enu"; } |
---|
| 1012 | |
---|
| 1013 | this.datum = new Proj4js.datum(this); |
---|
| 1014 | } |
---|
| 1015 | }); |
---|
| 1016 | |
---|
| 1017 | Proj4js.Proj.longlat = { |
---|
| 1018 | init: function() { |
---|
| 1019 | //no-op for longlat |
---|
| 1020 | }, |
---|
| 1021 | forward: function(pt) { |
---|
| 1022 | //identity transform |
---|
| 1023 | return pt; |
---|
| 1024 | }, |
---|
| 1025 | inverse: function(pt) { |
---|
| 1026 | //identity transform |
---|
| 1027 | return pt; |
---|
| 1028 | } |
---|
| 1029 | }; |
---|
| 1030 | Proj4js.Proj.identity = Proj4js.Proj.longlat; |
---|
| 1031 | |
---|
| 1032 | /** |
---|
| 1033 | Proj4js.defs is a collection of coordinate system definition objects in the |
---|
| 1034 | PROJ.4 command line format. |
---|
| 1035 | Generally a def is added by means of a separate .js file for example: |
---|
| 1036 | |
---|
| 1037 | <SCRIPT type="text/javascript" src="defs/EPSG26912.js"></SCRIPT> |
---|
| 1038 | |
---|
| 1039 | def is a CS definition in PROJ.4 WKT format, for example: |
---|
| 1040 | +proj="tmerc" //longlat, etc. |
---|
| 1041 | +a=majorRadius |
---|
| 1042 | +b=minorRadius |
---|
| 1043 | +lat0=somenumber |
---|
| 1044 | +long=somenumber |
---|
| 1045 | */ |
---|
| 1046 | Proj4js.defs = { |
---|
| 1047 | // These are so widely used, we'll go ahead and throw them in |
---|
| 1048 | // without requiring a separate .js file |
---|
| 1049 | 'WGS84': "+title=long/lat:WGS84 +proj=longlat +ellps=WGS84 +datum=WGS84 +units=degrees", |
---|
| 1050 | 'EPSG:4326': "+title=long/lat:WGS84 +proj=longlat +a=6378137.0 +b=6356752.31424518 +ellps=WGS84 +datum=WGS84 +units=degrees", |
---|
| 1051 | 'EPSG:4269': "+title=long/lat:NAD83 +proj=longlat +a=6378137.0 +b=6356752.31414036 +ellps=GRS80 +datum=NAD83 +units=degrees", |
---|
| 1052 | 'EPSG:3785': "+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" |
---|
| 1053 | }; |
---|
| 1054 | Proj4js.defs['GOOGLE'] = Proj4js.defs['EPSG:3785']; |
---|
| 1055 | Proj4js.defs['EPSG:900913'] = Proj4js.defs['EPSG:3785']; |
---|
| 1056 | Proj4js.defs['EPSG:102113'] = Proj4js.defs['EPSG:3785']; |
---|
| 1057 | |
---|
| 1058 | Proj4js.common = { |
---|
| 1059 | PI : 3.141592653589793238, //Math.PI, |
---|
| 1060 | HALF_PI : 1.570796326794896619, //Math.PI*0.5, |
---|
| 1061 | TWO_PI : 6.283185307179586477, //Math.PI*2, |
---|
| 1062 | FORTPI : 0.78539816339744833, |
---|
| 1063 | R2D : 57.29577951308232088, |
---|
| 1064 | D2R : 0.01745329251994329577, |
---|
| 1065 | SEC_TO_RAD : 4.84813681109535993589914102357e-6, /* SEC_TO_RAD = Pi/180/3600 */ |
---|
| 1066 | EPSLN : 1.0e-10, |
---|
| 1067 | MAX_ITER : 20, |
---|
| 1068 | // following constants from geocent.c |
---|
| 1069 | COS_67P5 : 0.38268343236508977, /* cosine of 67.5 degrees */ |
---|
| 1070 | AD_C : 1.0026000, /* Toms region 1 constant */ |
---|
| 1071 | |
---|
| 1072 | /* datum_type values */ |
---|
| 1073 | PJD_UNKNOWN : 0, |
---|
| 1074 | PJD_3PARAM : 1, |
---|
| 1075 | PJD_7PARAM : 2, |
---|
| 1076 | PJD_GRIDSHIFT: 3, |
---|
| 1077 | PJD_WGS84 : 4, // WGS84 or equivalent |
---|
| 1078 | PJD_NODATUM : 5, // WGS84 or equivalent |
---|
| 1079 | SRS_WGS84_SEMIMAJOR : 6378137.0, // only used in grid shift transforms |
---|
| 1080 | |
---|
| 1081 | // ellipoid pj_set_ell.c |
---|
| 1082 | SIXTH : .1666666666666666667, /* 1/6 */ |
---|
| 1083 | RA4 : .04722222222222222222, /* 17/360 */ |
---|
| 1084 | RA6 : .02215608465608465608, /* 67/3024 */ |
---|
| 1085 | RV4 : .06944444444444444444, /* 5/72 */ |
---|
| 1086 | RV6 : .04243827160493827160, /* 55/1296 */ |
---|
| 1087 | |
---|
| 1088 | // Function to compute the constant small m which is the radius of |
---|
| 1089 | // a parallel of latitude, phi, divided by the semimajor axis. |
---|
| 1090 | // ----------------------------------------------------------------- |
---|
| 1091 | msfnz : function(eccent, sinphi, cosphi) { |
---|
| 1092 | var con = eccent * sinphi; |
---|
| 1093 | return cosphi/(Math.sqrt(1.0 - con * con)); |
---|
| 1094 | }, |
---|
| 1095 | |
---|
| 1096 | // Function to compute the constant small t for use in the forward |
---|
| 1097 | // computations in the Lambert Conformal Conic and the Polar |
---|
| 1098 | // Stereographic projections. |
---|
| 1099 | // ----------------------------------------------------------------- |
---|
| 1100 | tsfnz : function(eccent, phi, sinphi) { |
---|
| 1101 | var con = eccent * sinphi; |
---|
| 1102 | var com = .5 * eccent; |
---|
| 1103 | con = Math.pow(((1.0 - con) / (1.0 + con)), com); |
---|
| 1104 | return (Math.tan(.5 * (this.HALF_PI - phi))/con); |
---|
| 1105 | }, |
---|
| 1106 | |
---|
| 1107 | // Function to compute the latitude angle, phi2, for the inverse of the |
---|
| 1108 | // Lambert Conformal Conic and Polar Stereographic projections. |
---|
| 1109 | // ---------------------------------------------------------------- |
---|
| 1110 | phi2z : function(eccent, ts) { |
---|
| 1111 | var eccnth = .5 * eccent; |
---|
| 1112 | var con, dphi; |
---|
| 1113 | var phi = this.HALF_PI - 2 * Math.atan(ts); |
---|
| 1114 | for (var i = 0; i <= 15; i++) { |
---|
| 1115 | con = eccent * Math.sin(phi); |
---|
| 1116 | dphi = this.HALF_PI - 2 * Math.atan(ts *(Math.pow(((1.0 - con)/(1.0 + con)),eccnth))) - phi; |
---|
| 1117 | phi += dphi; |
---|
| 1118 | if (Math.abs(dphi) <= .0000000001) return phi; |
---|
| 1119 | } |
---|
| 1120 | alert("phi2z has NoConvergence"); |
---|
| 1121 | return (-9999); |
---|
| 1122 | }, |
---|
| 1123 | |
---|
| 1124 | /* Function to compute constant small q which is the radius of a |
---|
| 1125 | parallel of latitude, phi, divided by the semimajor axis. |
---|
| 1126 | ------------------------------------------------------------*/ |
---|
| 1127 | qsfnz : function(eccent,sinphi) { |
---|
| 1128 | var con; |
---|
| 1129 | if (eccent > 1.0e-7) { |
---|
| 1130 | con = eccent * sinphi; |
---|
| 1131 | return (( 1.0- eccent * eccent) * (sinphi /(1.0 - con * con) - (.5/eccent)*Math.log((1.0 - con)/(1.0 + con)))); |
---|
| 1132 | } else { |
---|
| 1133 | return(2.0 * sinphi); |
---|
| 1134 | } |
---|
| 1135 | }, |
---|
| 1136 | |
---|
| 1137 | /* Function to eliminate roundoff errors in asin |
---|
| 1138 | ----------------------------------------------*/ |
---|
| 1139 | asinz : function(x) { |
---|
| 1140 | if (Math.abs(x)>1.0) { |
---|
| 1141 | x=(x>1.0)?1.0:-1.0; |
---|
| 1142 | } |
---|
| 1143 | return Math.asin(x); |
---|
| 1144 | }, |
---|
| 1145 | |
---|
| 1146 | // following functions from gctpc cproj.c for transverse mercator projections |
---|
| 1147 | e0fn : function(x) {return(1.0-0.25*x*(1.0+x/16.0*(3.0+1.25*x)));}, |
---|
| 1148 | e1fn : function(x) {return(0.375*x*(1.0+0.25*x*(1.0+0.46875*x)));}, |
---|
| 1149 | e2fn : function(x) {return(0.05859375*x*x*(1.0+0.75*x));}, |
---|
| 1150 | e3fn : function(x) {return(x*x*x*(35.0/3072.0));}, |
---|
| 1151 | 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));}, |
---|
| 1152 | |
---|
| 1153 | srat : function(esinp, exp) { |
---|
| 1154 | return(Math.pow((1.0-esinp)/(1.0+esinp), exp)); |
---|
| 1155 | }, |
---|
| 1156 | |
---|
| 1157 | // Function to return the sign of an argument |
---|
| 1158 | sign : function(x) { if (x < 0.0) return(-1); else return(1);}, |
---|
| 1159 | |
---|
| 1160 | // Function to adjust longitude to -180 to 180; input in radians |
---|
| 1161 | adjust_lon : function(x) { |
---|
| 1162 | x = (Math.abs(x) < this.PI) ? x: (x - (this.sign(x)*this.TWO_PI) ); |
---|
| 1163 | return x; |
---|
| 1164 | }, |
---|
| 1165 | |
---|
| 1166 | // IGNF - DGR : algorithms used by IGN France |
---|
| 1167 | |
---|
| 1168 | // Function to adjust latitude to -90 to 90; input in radians |
---|
| 1169 | adjust_lat : function(x) { |
---|
| 1170 | x= (Math.abs(x) < this.HALF_PI) ? x: (x - (this.sign(x)*this.PI) ); |
---|
| 1171 | return x; |
---|
| 1172 | }, |
---|
| 1173 | |
---|
| 1174 | // Latitude Isometrique - close to tsfnz ... |
---|
| 1175 | latiso : function(eccent, phi, sinphi) { |
---|
| 1176 | if (Math.abs(phi) > this.HALF_PI) return +Number.NaN; |
---|
| 1177 | if (phi==this.HALF_PI) return Number.POSITIVE_INFINITY; |
---|
| 1178 | if (phi==-1.0*this.HALF_PI) return -1.0*Number.POSITIVE_INFINITY; |
---|
| 1179 | |
---|
| 1180 | var con= eccent*sinphi; |
---|
| 1181 | return Math.log(Math.tan((this.HALF_PI+phi)/2.0))+eccent*Math.log((1.0-con)/(1.0+con))/2.0; |
---|
| 1182 | }, |
---|
| 1183 | |
---|
| 1184 | fL : function(x,L) { |
---|
| 1185 | return 2.0*Math.atan(x*Math.exp(L)) - this.HALF_PI; |
---|
| 1186 | }, |
---|
| 1187 | |
---|
| 1188 | // Inverse Latitude Isometrique - close to ph2z |
---|
| 1189 | invlatiso : function(eccent, ts) { |
---|
| 1190 | var phi= this.fL(1.0,ts); |
---|
| 1191 | var Iphi= 0.0; |
---|
| 1192 | var con= 0.0; |
---|
| 1193 | do { |
---|
| 1194 | Iphi= phi; |
---|
| 1195 | con= eccent*Math.sin(Iphi); |
---|
| 1196 | phi= this.fL(Math.exp(eccent*Math.log((1.0+con)/(1.0-con))/2.0),ts) |
---|
| 1197 | } while (Math.abs(phi-Iphi)>1.0e-12); |
---|
| 1198 | return phi; |
---|
| 1199 | }, |
---|
| 1200 | |
---|
| 1201 | // Needed for Gauss Schreiber |
---|
| 1202 | // Original: Denis Makarov (info@binarythings.com) |
---|
| 1203 | // Web Site: http://www.binarythings.com |
---|
| 1204 | sinh : function(x) |
---|
| 1205 | { |
---|
| 1206 | var r= Math.exp(x); |
---|
| 1207 | r= (r-1.0/r)/2.0; |
---|
| 1208 | return r; |
---|
| 1209 | }, |
---|
| 1210 | |
---|
| 1211 | cosh : function(x) |
---|
| 1212 | { |
---|
| 1213 | var r= Math.exp(x); |
---|
| 1214 | r= (r+1.0/r)/2.0; |
---|
| 1215 | return r; |
---|
| 1216 | }, |
---|
| 1217 | |
---|
| 1218 | tanh : function(x) |
---|
| 1219 | { |
---|
| 1220 | var r= Math.exp(x); |
---|
| 1221 | r= (r-1.0/r)/(r+1.0/r); |
---|
| 1222 | return r; |
---|
| 1223 | }, |
---|
| 1224 | |
---|
| 1225 | asinh : function(x) |
---|
| 1226 | { |
---|
| 1227 | var s= (x>= 0? 1.0:-1.0); |
---|
| 1228 | return s*(Math.log( Math.abs(x) + Math.sqrt(x*x+1.0) )); |
---|
| 1229 | }, |
---|
| 1230 | |
---|
| 1231 | acosh : function(x) |
---|
| 1232 | { |
---|
| 1233 | return 2.0*Math.log(Math.sqrt((x+1.0)/2.0) + Math.sqrt((x-1.0)/2.0)); |
---|
| 1234 | }, |
---|
| 1235 | |
---|
| 1236 | atanh : function(x) |
---|
| 1237 | { |
---|
| 1238 | return Math.log((x-1.0)/(x+1.0))/2.0; |
---|
| 1239 | }, |
---|
| 1240 | |
---|
| 1241 | // Grande Normale |
---|
| 1242 | gN : function(a,e,sinphi) |
---|
| 1243 | { |
---|
| 1244 | var temp= e*sinphi; |
---|
| 1245 | return a/Math.sqrt(1.0 - temp*temp); |
---|
| 1246 | } |
---|
| 1247 | |
---|
| 1248 | }; |
---|
| 1249 | |
---|
| 1250 | /** datum object |
---|
| 1251 | */ |
---|
| 1252 | Proj4js.datum = Proj4js.Class({ |
---|
| 1253 | |
---|
| 1254 | initialize : function(proj) { |
---|
| 1255 | this.datum_type = Proj4js.common.PJD_WGS84; //default setting |
---|
| 1256 | if (proj.datumCode && proj.datumCode == 'none') { |
---|
| 1257 | this.datum_type = Proj4js.common.PJD_NODATUM; |
---|
| 1258 | } |
---|
| 1259 | if (proj && proj.datum_params) { |
---|
| 1260 | for (var i=0; i<proj.datum_params.length; i++) { |
---|
| 1261 | proj.datum_params[i]=parseFloat(proj.datum_params[i]); |
---|
| 1262 | } |
---|
| 1263 | if (proj.datum_params[0] != 0 || proj.datum_params[1] != 0 || proj.datum_params[2] != 0 ) { |
---|
| 1264 | this.datum_type = Proj4js.common.PJD_3PARAM; |
---|
| 1265 | } |
---|
| 1266 | if (proj.datum_params.length > 3) { |
---|
| 1267 | if (proj.datum_params[3] != 0 || proj.datum_params[4] != 0 || |
---|
| 1268 | proj.datum_params[5] != 0 || proj.datum_params[6] != 0 ) { |
---|
| 1269 | this.datum_type = Proj4js.common.PJD_7PARAM; |
---|
| 1270 | proj.datum_params[3] *= Proj4js.common.SEC_TO_RAD; |
---|
| 1271 | proj.datum_params[4] *= Proj4js.common.SEC_TO_RAD; |
---|
| 1272 | proj.datum_params[5] *= Proj4js.common.SEC_TO_RAD; |
---|
| 1273 | proj.datum_params[6] = (proj.datum_params[6]/1000000.0) + 1.0; |
---|
| 1274 | } |
---|
| 1275 | } |
---|
| 1276 | } |
---|
| 1277 | if (proj) { |
---|
| 1278 | this.a = proj.a; //datum object also uses these values |
---|
| 1279 | this.b = proj.b; |
---|
| 1280 | this.es = proj.es; |
---|
| 1281 | this.ep2 = proj.ep2; |
---|
| 1282 | this.datum_params = proj.datum_params; |
---|
| 1283 | } |
---|
| 1284 | }, |
---|
| 1285 | |
---|
| 1286 | /****************************************************************/ |
---|
| 1287 | // cs_compare_datums() |
---|
| 1288 | // Returns 1 (TRUE) if the two datums match, otherwise 0 (FALSE). |
---|
| 1289 | compare_datums : function( dest ) { |
---|
| 1290 | if( this.datum_type != dest.datum_type ) { |
---|
| 1291 | return false; // false, datums are not equal |
---|
| 1292 | } else if( this.a != dest.a || Math.abs(this.es-dest.es) > 0.000000000050 ) { |
---|
| 1293 | // the tolerence for es is to ensure that GRS80 and WGS84 |
---|
| 1294 | // are considered identical |
---|
| 1295 | return false; |
---|
| 1296 | } else if( this.datum_type == Proj4js.common.PJD_3PARAM ) { |
---|
| 1297 | return (this.datum_params[0] == dest.datum_params[0] |
---|
| 1298 | && this.datum_params[1] == dest.datum_params[1] |
---|
| 1299 | && this.datum_params[2] == dest.datum_params[2]); |
---|
| 1300 | } else if( this.datum_type == Proj4js.common.PJD_7PARAM ) { |
---|
| 1301 | return (this.datum_params[0] == dest.datum_params[0] |
---|
| 1302 | && this.datum_params[1] == dest.datum_params[1] |
---|
| 1303 | && this.datum_params[2] == dest.datum_params[2] |
---|
| 1304 | && this.datum_params[3] == dest.datum_params[3] |
---|
| 1305 | && this.datum_params[4] == dest.datum_params[4] |
---|
| 1306 | && this.datum_params[5] == dest.datum_params[5] |
---|
| 1307 | && this.datum_params[6] == dest.datum_params[6]); |
---|
| 1308 | } else if( this.datum_type == Proj4js.common.PJD_GRIDSHIFT ) { |
---|
| 1309 | return strcmp( pj_param(this.params,"snadgrids").s, |
---|
| 1310 | pj_param(dest.params,"snadgrids").s ) == 0; |
---|
| 1311 | } else { |
---|
| 1312 | return true; // datums are equal |
---|
| 1313 | } |
---|
| 1314 | }, // cs_compare_datums() |
---|
| 1315 | |
---|
| 1316 | /* |
---|
| 1317 | * The function Convert_Geodetic_To_Geocentric converts geodetic coordinates |
---|
| 1318 | * (latitude, longitude, and height) to geocentric coordinates (X, Y, Z), |
---|
| 1319 | * according to the current ellipsoid parameters. |
---|
| 1320 | * |
---|
| 1321 | * Latitude : Geodetic latitude in radians (input) |
---|
| 1322 | * Longitude : Geodetic longitude in radians (input) |
---|
| 1323 | * Height : Geodetic height, in meters (input) |
---|
| 1324 | * X : Calculated Geocentric X coordinate, in meters (output) |
---|
| 1325 | * Y : Calculated Geocentric Y coordinate, in meters (output) |
---|
| 1326 | * Z : Calculated Geocentric Z coordinate, in meters (output) |
---|
| 1327 | * |
---|
| 1328 | */ |
---|
| 1329 | geodetic_to_geocentric : function(p) { |
---|
| 1330 | var Longitude = p.x; |
---|
| 1331 | var Latitude = p.y; |
---|
| 1332 | var Height = p.z ? p.z : 0; //Z value not always supplied |
---|
| 1333 | var X; // output |
---|
| 1334 | var Y; |
---|
| 1335 | var Z; |
---|
| 1336 | |
---|
| 1337 | var Error_Code=0; // GEOCENT_NO_ERROR; |
---|
| 1338 | var Rn; /* Earth radius at location */ |
---|
| 1339 | var Sin_Lat; /* Math.sin(Latitude) */ |
---|
| 1340 | var Sin2_Lat; /* Square of Math.sin(Latitude) */ |
---|
| 1341 | var Cos_Lat; /* Math.cos(Latitude) */ |
---|
| 1342 | |
---|
| 1343 | /* |
---|
| 1344 | ** Don't blow up if Latitude is just a little out of the value |
---|
| 1345 | ** range as it may just be a rounding issue. Also removed longitude |
---|
| 1346 | ** test, it should be wrapped by Math.cos() and Math.sin(). NFW for PROJ.4, Sep/2001. |
---|
| 1347 | */ |
---|
| 1348 | if( Latitude < -Proj4js.common.HALF_PI && Latitude > -1.001 * Proj4js.common.HALF_PI ) { |
---|
| 1349 | Latitude = -Proj4js.common.HALF_PI; |
---|
| 1350 | } else if( Latitude > Proj4js.common.HALF_PI && Latitude < 1.001 * Proj4js.common.HALF_PI ) { |
---|
| 1351 | Latitude = Proj4js.common.HALF_PI; |
---|
| 1352 | } else if ((Latitude < -Proj4js.common.HALF_PI) || (Latitude > Proj4js.common.HALF_PI)) { |
---|
| 1353 | /* Latitude out of range */ |
---|
| 1354 | Proj4js.reportError('geocent:lat out of range:'+Latitude); |
---|
| 1355 | return null; |
---|
| 1356 | } |
---|
| 1357 | |
---|
| 1358 | if (Longitude > Proj4js.common.PI) Longitude -= (2*Proj4js.common.PI); |
---|
| 1359 | Sin_Lat = Math.sin(Latitude); |
---|
| 1360 | Cos_Lat = Math.cos(Latitude); |
---|
| 1361 | Sin2_Lat = Sin_Lat * Sin_Lat; |
---|
| 1362 | Rn = this.a / (Math.sqrt(1.0e0 - this.es * Sin2_Lat)); |
---|
| 1363 | X = (Rn + Height) * Cos_Lat * Math.cos(Longitude); |
---|
| 1364 | Y = (Rn + Height) * Cos_Lat * Math.sin(Longitude); |
---|
| 1365 | Z = ((Rn * (1 - this.es)) + Height) * Sin_Lat; |
---|
| 1366 | |
---|
| 1367 | p.x = X; |
---|
| 1368 | p.y = Y; |
---|
| 1369 | p.z = Z; |
---|
| 1370 | return Error_Code; |
---|
| 1371 | }, // cs_geodetic_to_geocentric() |
---|
| 1372 | |
---|
| 1373 | |
---|
| 1374 | geocentric_to_geodetic : function (p) { |
---|
| 1375 | /* local defintions and variables */ |
---|
| 1376 | /* end-criterium of loop, accuracy of sin(Latitude) */ |
---|
| 1377 | var genau = 1.E-12; |
---|
| 1378 | var genau2 = (genau*genau); |
---|
| 1379 | var maxiter = 30; |
---|
| 1380 | |
---|
| 1381 | var P; /* distance between semi-minor axis and location */ |
---|
| 1382 | var RR; /* distance between center and location */ |
---|
| 1383 | var CT; /* sin of geocentric latitude */ |
---|
| 1384 | var ST; /* cos of geocentric latitude */ |
---|
| 1385 | var RX; |
---|
| 1386 | var RK; |
---|
| 1387 | var RN; /* Earth radius at location */ |
---|
| 1388 | var CPHI0; /* cos of start or old geodetic latitude in iterations */ |
---|
| 1389 | var SPHI0; /* sin of start or old geodetic latitude in iterations */ |
---|
| 1390 | var CPHI; /* cos of searched geodetic latitude */ |
---|
| 1391 | var SPHI; /* sin of searched geodetic latitude */ |
---|
| 1392 | var SDPHI; /* end-criterium: addition-theorem of sin(Latitude(iter)-Latitude(iter-1)) */ |
---|
| 1393 | var At_Pole; /* indicates location is in polar region */ |
---|
| 1394 | var iter; /* # of continous iteration, max. 30 is always enough (s.a.) */ |
---|
| 1395 | |
---|
| 1396 | var X = p.x; |
---|
| 1397 | var Y = p.y; |
---|
| 1398 | var Z = p.z ? p.z : 0.0; //Z value not always supplied |
---|
| 1399 | var Longitude; |
---|
| 1400 | var Latitude; |
---|
| 1401 | var Height; |
---|
| 1402 | |
---|
| 1403 | At_Pole = false; |
---|
| 1404 | P = Math.sqrt(X*X+Y*Y); |
---|
| 1405 | RR = Math.sqrt(X*X+Y*Y+Z*Z); |
---|
| 1406 | |
---|
| 1407 | /* special cases for latitude and longitude */ |
---|
| 1408 | if (P/this.a < genau) { |
---|
| 1409 | |
---|
| 1410 | /* special case, if P=0. (X=0., Y=0.) */ |
---|
| 1411 | At_Pole = true; |
---|
| 1412 | Longitude = 0.0; |
---|
| 1413 | |
---|
| 1414 | /* if (X,Y,Z)=(0.,0.,0.) then Height becomes semi-minor axis |
---|
| 1415 | * of ellipsoid (=center of mass), Latitude becomes PI/2 */ |
---|
| 1416 | if (RR/this.a < genau) { |
---|
| 1417 | Latitude = Proj4js.common.HALF_PI; |
---|
| 1418 | Height = -this.b; |
---|
| 1419 | return; |
---|
| 1420 | } |
---|
| 1421 | } else { |
---|
| 1422 | /* ellipsoidal (geodetic) longitude |
---|
| 1423 | * interval: -PI < Longitude <= +PI */ |
---|
| 1424 | Longitude=Math.atan2(Y,X); |
---|
| 1425 | } |
---|
| 1426 | |
---|
| 1427 | /* -------------------------------------------------------------- |
---|
| 1428 | * Following iterative algorithm was developped by |
---|
| 1429 | * "Institut fï¿œr Erdmessung", University of Hannover, July 1988. |
---|
| 1430 | * Internet: www.ife.uni-hannover.de |
---|
| 1431 | * Iterative computation of CPHI,SPHI and Height. |
---|
| 1432 | * Iteration of CPHI and SPHI to 10**-12 radian resp. |
---|
| 1433 | * 2*10**-7 arcsec. |
---|
| 1434 | * -------------------------------------------------------------- |
---|
| 1435 | */ |
---|
| 1436 | CT = Z/RR; |
---|
| 1437 | ST = P/RR; |
---|
| 1438 | RX = 1.0/Math.sqrt(1.0-this.es*(2.0-this.es)*ST*ST); |
---|
| 1439 | CPHI0 = ST*(1.0-this.es)*RX; |
---|
| 1440 | SPHI0 = CT*RX; |
---|
| 1441 | iter = 0; |
---|
| 1442 | |
---|
| 1443 | /* loop to find sin(Latitude) resp. Latitude |
---|
| 1444 | * until |sin(Latitude(iter)-Latitude(iter-1))| < genau */ |
---|
| 1445 | do |
---|
| 1446 | { |
---|
| 1447 | iter++; |
---|
| 1448 | RN = this.a/Math.sqrt(1.0-this.es*SPHI0*SPHI0); |
---|
| 1449 | |
---|
| 1450 | /* ellipsoidal (geodetic) height */ |
---|
| 1451 | Height = P*CPHI0+Z*SPHI0-RN*(1.0-this.es*SPHI0*SPHI0); |
---|
| 1452 | |
---|
| 1453 | RK = this.es*RN/(RN+Height); |
---|
| 1454 | RX = 1.0/Math.sqrt(1.0-RK*(2.0-RK)*ST*ST); |
---|
| 1455 | CPHI = ST*(1.0-RK)*RX; |
---|
| 1456 | SPHI = CT*RX; |
---|
| 1457 | SDPHI = SPHI*CPHI0-CPHI*SPHI0; |
---|
| 1458 | CPHI0 = CPHI; |
---|
| 1459 | SPHI0 = SPHI; |
---|
| 1460 | } |
---|
| 1461 | while (SDPHI*SDPHI > genau2 && iter < maxiter); |
---|
| 1462 | |
---|
| 1463 | /* ellipsoidal (geodetic) latitude */ |
---|
| 1464 | Latitude=Math.atan(SPHI/Math.abs(CPHI)); |
---|
| 1465 | |
---|
| 1466 | p.x = Longitude; |
---|
| 1467 | p.y = Latitude; |
---|
| 1468 | p.z = Height; |
---|
| 1469 | return p; |
---|
| 1470 | }, // cs_geocentric_to_geodetic() |
---|
| 1471 | |
---|
| 1472 | /** Convert_Geocentric_To_Geodetic |
---|
| 1473 | * The method used here is derived from 'An Improved Algorithm for |
---|
| 1474 | * Geocentric to Geodetic Coordinate Conversion', by Ralph Toms, Feb 1996 |
---|
| 1475 | */ |
---|
| 1476 | geocentric_to_geodetic_noniter : function (p) { |
---|
| 1477 | var X = p.x; |
---|
| 1478 | var Y = p.y; |
---|
| 1479 | var Z = p.z ? p.z : 0; //Z value not always supplied |
---|
| 1480 | var Longitude; |
---|
| 1481 | var Latitude; |
---|
| 1482 | var Height; |
---|
| 1483 | |
---|
| 1484 | var W; /* distance from Z axis */ |
---|
| 1485 | var W2; /* square of distance from Z axis */ |
---|
| 1486 | var T0; /* initial estimate of vertical component */ |
---|
| 1487 | var T1; /* corrected estimate of vertical component */ |
---|
| 1488 | var S0; /* initial estimate of horizontal component */ |
---|
| 1489 | var S1; /* corrected estimate of horizontal component */ |
---|
| 1490 | var Sin_B0; /* Math.sin(B0), B0 is estimate of Bowring aux variable */ |
---|
| 1491 | var Sin3_B0; /* cube of Math.sin(B0) */ |
---|
| 1492 | var Cos_B0; /* Math.cos(B0) */ |
---|
| 1493 | var Sin_p1; /* Math.sin(phi1), phi1 is estimated latitude */ |
---|
| 1494 | var Cos_p1; /* Math.cos(phi1) */ |
---|
| 1495 | var Rn; /* Earth radius at location */ |
---|
| 1496 | var Sum; /* numerator of Math.cos(phi1) */ |
---|
| 1497 | var At_Pole; /* indicates location is in polar region */ |
---|
| 1498 | |
---|
| 1499 | X = parseFloat(X); // cast from string to float |
---|
| 1500 | Y = parseFloat(Y); |
---|
| 1501 | Z = parseFloat(Z); |
---|
| 1502 | |
---|
| 1503 | At_Pole = false; |
---|
| 1504 | if (X != 0.0) |
---|
| 1505 | { |
---|
| 1506 | Longitude = Math.atan2(Y,X); |
---|
| 1507 | } |
---|
| 1508 | else |
---|
| 1509 | { |
---|
| 1510 | if (Y > 0) |
---|
| 1511 | { |
---|
| 1512 | Longitude = Proj4js.common.HALF_PI; |
---|
| 1513 | } |
---|
| 1514 | else if (Y < 0) |
---|
| 1515 | { |
---|
| 1516 | Longitude = -Proj4js.common.HALF_PI; |
---|
| 1517 | } |
---|
| 1518 | else |
---|
| 1519 | { |
---|
| 1520 | At_Pole = true; |
---|
| 1521 | Longitude = 0.0; |
---|
| 1522 | if (Z > 0.0) |
---|
| 1523 | { /* north pole */ |
---|
| 1524 | Latitude = Proj4js.common.HALF_PI; |
---|
| 1525 | } |
---|
| 1526 | else if (Z < 0.0) |
---|
| 1527 | { /* south pole */ |
---|
| 1528 | Latitude = -Proj4js.common.HALF_PI; |
---|
| 1529 | } |
---|
| 1530 | else |
---|
| 1531 | { /* center of earth */ |
---|
| 1532 | Latitude = Proj4js.common.HALF_PI; |
---|
| 1533 | Height = -this.b; |
---|
| 1534 | return; |
---|
| 1535 | } |
---|
| 1536 | } |
---|
| 1537 | } |
---|
| 1538 | W2 = X*X + Y*Y; |
---|
| 1539 | W = Math.sqrt(W2); |
---|
| 1540 | T0 = Z * Proj4js.common.AD_C; |
---|
| 1541 | S0 = Math.sqrt(T0 * T0 + W2); |
---|
| 1542 | Sin_B0 = T0 / S0; |
---|
| 1543 | Cos_B0 = W / S0; |
---|
| 1544 | Sin3_B0 = Sin_B0 * Sin_B0 * Sin_B0; |
---|
| 1545 | T1 = Z + this.b * this.ep2 * Sin3_B0; |
---|
| 1546 | Sum = W - this.a * this.es * Cos_B0 * Cos_B0 * Cos_B0; |
---|
| 1547 | S1 = Math.sqrt(T1*T1 + Sum * Sum); |
---|
| 1548 | Sin_p1 = T1 / S1; |
---|
| 1549 | Cos_p1 = Sum / S1; |
---|
| 1550 | Rn = this.a / Math.sqrt(1.0 - this.es * Sin_p1 * Sin_p1); |
---|
| 1551 | if (Cos_p1 >= Proj4js.common.COS_67P5) |
---|
| 1552 | { |
---|
| 1553 | Height = W / Cos_p1 - Rn; |
---|
| 1554 | } |
---|
| 1555 | else if (Cos_p1 <= -Proj4js.common.COS_67P5) |
---|
| 1556 | { |
---|
| 1557 | Height = W / -Cos_p1 - Rn; |
---|
| 1558 | } |
---|
| 1559 | else |
---|
| 1560 | { |
---|
| 1561 | Height = Z / Sin_p1 + Rn * (this.es - 1.0); |
---|
| 1562 | } |
---|
| 1563 | if (At_Pole == false) |
---|
| 1564 | { |
---|
| 1565 | Latitude = Math.atan(Sin_p1 / Cos_p1); |
---|
| 1566 | } |
---|
| 1567 | |
---|
| 1568 | p.x = Longitude; |
---|
| 1569 | p.y = Latitude; |
---|
| 1570 | p.z = Height; |
---|
| 1571 | return p; |
---|
| 1572 | }, // geocentric_to_geodetic_noniter() |
---|
| 1573 | |
---|
| 1574 | /****************************************************************/ |
---|
| 1575 | // pj_geocentic_to_wgs84( p ) |
---|
| 1576 | // p = point to transform in geocentric coordinates (x,y,z) |
---|
| 1577 | geocentric_to_wgs84 : function ( p ) { |
---|
| 1578 | |
---|
| 1579 | if( this.datum_type == Proj4js.common.PJD_3PARAM ) |
---|
| 1580 | { |
---|
| 1581 | // if( x[io] == HUGE_VAL ) |
---|
| 1582 | // continue; |
---|
| 1583 | p.x += this.datum_params[0]; |
---|
| 1584 | p.y += this.datum_params[1]; |
---|
| 1585 | p.z += this.datum_params[2]; |
---|
| 1586 | |
---|
| 1587 | } |
---|
| 1588 | else if (this.datum_type == Proj4js.common.PJD_7PARAM) |
---|
| 1589 | { |
---|
| 1590 | var Dx_BF =this.datum_params[0]; |
---|
| 1591 | var Dy_BF =this.datum_params[1]; |
---|
| 1592 | var Dz_BF =this.datum_params[2]; |
---|
| 1593 | var Rx_BF =this.datum_params[3]; |
---|
| 1594 | var Ry_BF =this.datum_params[4]; |
---|
| 1595 | var Rz_BF =this.datum_params[5]; |
---|
| 1596 | var M_BF =this.datum_params[6]; |
---|
| 1597 | // if( x[io] == HUGE_VAL ) |
---|
| 1598 | // continue; |
---|
| 1599 | var x_out = M_BF*( p.x - Rz_BF*p.y + Ry_BF*p.z) + Dx_BF; |
---|
| 1600 | var y_out = M_BF*( Rz_BF*p.x + p.y - Rx_BF*p.z) + Dy_BF; |
---|
| 1601 | var z_out = M_BF*(-Ry_BF*p.x + Rx_BF*p.y + p.z) + Dz_BF; |
---|
| 1602 | p.x = x_out; |
---|
| 1603 | p.y = y_out; |
---|
| 1604 | p.z = z_out; |
---|
| 1605 | } |
---|
| 1606 | }, // cs_geocentric_to_wgs84 |
---|
| 1607 | |
---|
| 1608 | /****************************************************************/ |
---|
| 1609 | // pj_geocentic_from_wgs84() |
---|
| 1610 | // coordinate system definition, |
---|
| 1611 | // point to transform in geocentric coordinates (x,y,z) |
---|
| 1612 | geocentric_from_wgs84 : function( p ) { |
---|
| 1613 | |
---|
| 1614 | if( this.datum_type == Proj4js.common.PJD_3PARAM ) |
---|
| 1615 | { |
---|
| 1616 | //if( x[io] == HUGE_VAL ) |
---|
| 1617 | // continue; |
---|
| 1618 | p.x -= this.datum_params[0]; |
---|
| 1619 | p.y -= this.datum_params[1]; |
---|
| 1620 | p.z -= this.datum_params[2]; |
---|
| 1621 | |
---|
| 1622 | } |
---|
| 1623 | else if (this.datum_type == Proj4js.common.PJD_7PARAM) |
---|
| 1624 | { |
---|
| 1625 | var Dx_BF =this.datum_params[0]; |
---|
| 1626 | var Dy_BF =this.datum_params[1]; |
---|
| 1627 | var Dz_BF =this.datum_params[2]; |
---|
| 1628 | var Rx_BF =this.datum_params[3]; |
---|
| 1629 | var Ry_BF =this.datum_params[4]; |
---|
| 1630 | var Rz_BF =this.datum_params[5]; |
---|
| 1631 | var M_BF =this.datum_params[6]; |
---|
| 1632 | var x_tmp = (p.x - Dx_BF) / M_BF; |
---|
| 1633 | var y_tmp = (p.y - Dy_BF) / M_BF; |
---|
| 1634 | var z_tmp = (p.z - Dz_BF) / M_BF; |
---|
| 1635 | //if( x[io] == HUGE_VAL ) |
---|
| 1636 | // continue; |
---|
| 1637 | |
---|
| 1638 | p.x = x_tmp + Rz_BF*y_tmp - Ry_BF*z_tmp; |
---|
| 1639 | p.y = -Rz_BF*x_tmp + y_tmp + Rx_BF*z_tmp; |
---|
| 1640 | p.z = Ry_BF*x_tmp - Rx_BF*y_tmp + z_tmp; |
---|
| 1641 | } //cs_geocentric_from_wgs84() |
---|
| 1642 | } |
---|
| 1643 | }); |
---|
| 1644 | |
---|
| 1645 | /** point object, nothing fancy, just allows values to be |
---|
| 1646 | passed back and forth by reference rather than by value. |
---|
| 1647 | Other point classes may be used as long as they have |
---|
| 1648 | x and y properties, which will get modified in the transform method. |
---|
| 1649 | */ |
---|
| 1650 | Proj4js.Point = Proj4js.Class({ |
---|
| 1651 | |
---|
| 1652 | /** |
---|
| 1653 | * Constructor: Proj4js.Point |
---|
| 1654 | * |
---|
| 1655 | * Parameters: |
---|
| 1656 | * - x {float} or {Array} either the first coordinates component or |
---|
| 1657 | * the full coordinates |
---|
| 1658 | * - y {float} the second component |
---|
| 1659 | * - z {float} the third component, optional. |
---|
| 1660 | */ |
---|
| 1661 | initialize : function(x,y,z) { |
---|
| 1662 | if (typeof x == 'object') { |
---|
| 1663 | this.x = x[0]; |
---|
| 1664 | this.y = x[1]; |
---|
| 1665 | this.z = x[2] || 0.0; |
---|
| 1666 | } else if (typeof x == 'string' && typeof y == 'undefined') { |
---|
| 1667 | var coords = x.split(','); |
---|
| 1668 | this.x = parseFloat(coords[0]); |
---|
| 1669 | this.y = parseFloat(coords[1]); |
---|
| 1670 | this.z = parseFloat(coords[2]) || 0.0; |
---|
| 1671 | } else { |
---|
| 1672 | this.x = x; |
---|
| 1673 | this.y = y; |
---|
| 1674 | this.z = z || 0.0; |
---|
| 1675 | } |
---|
| 1676 | }, |
---|
| 1677 | |
---|
| 1678 | /** |
---|
| 1679 | * APIMethod: clone |
---|
| 1680 | * Build a copy of a Proj4js.Point object. |
---|
| 1681 | * |
---|
| 1682 | * Return: |
---|
| 1683 | * {Proj4js}.Point the cloned point. |
---|
| 1684 | */ |
---|
| 1685 | clone : function() { |
---|
| 1686 | return new Proj4js.Point(this.x, this.y, this.z); |
---|
| 1687 | }, |
---|
| 1688 | |
---|
| 1689 | /** |
---|
| 1690 | * APIMethod: toString |
---|
| 1691 | * Return a readable string version of the point |
---|
| 1692 | * |
---|
| 1693 | * Return: |
---|
| 1694 | * {String} String representation of Proj4js.Point object. |
---|
| 1695 | * (ex. <i>"x=5,y=42"</i>) |
---|
| 1696 | */ |
---|
| 1697 | toString : function() { |
---|
| 1698 | return ("x=" + this.x + ",y=" + this.y); |
---|
| 1699 | }, |
---|
| 1700 | |
---|
| 1701 | /** |
---|
| 1702 | * APIMethod: toShortString |
---|
| 1703 | * Return a short string version of the point. |
---|
| 1704 | * |
---|
| 1705 | * Return: |
---|
| 1706 | * {String} Shortened String representation of Proj4js.Point object. |
---|
| 1707 | * (ex. <i>"5, 42"</i>) |
---|
| 1708 | */ |
---|
| 1709 | toShortString : function() { |
---|
| 1710 | return (this.x + ", " + this.y); |
---|
| 1711 | } |
---|
| 1712 | }); |
---|
| 1713 | |
---|
| 1714 | Proj4js.PrimeMeridian = { |
---|
| 1715 | "greenwich": 0.0, //"0dE", |
---|
| 1716 | "lisbon": -9.131906111111, //"9d07'54.862\"W", |
---|
| 1717 | "paris": 2.337229166667, //"2d20'14.025\"E", |
---|
| 1718 | "bogota": -74.080916666667, //"74d04'51.3\"W", |
---|
| 1719 | "madrid": -3.687938888889, //"3d41'16.58\"W", |
---|
| 1720 | "rome": 12.452333333333, //"12d27'8.4\"E", |
---|
| 1721 | "bern": 7.439583333333, //"7d26'22.5\"E", |
---|
| 1722 | "jakarta": 106.807719444444, //"106d48'27.79\"E", |
---|
| 1723 | "ferro": -17.666666666667, //"17d40'W", |
---|
| 1724 | "brussels": 4.367975, //"4d22'4.71\"E", |
---|
| 1725 | "stockholm": 18.058277777778, //"18d3'29.8\"E", |
---|
| 1726 | "athens": 23.7163375, //"23d42'58.815\"E", |
---|
| 1727 | "oslo": 10.722916666667 //"10d43'22.5\"E" |
---|
| 1728 | }; |
---|
| 1729 | |
---|
| 1730 | Proj4js.Ellipsoid = { |
---|
| 1731 | "MERIT": {a:6378137.0, rf:298.257, ellipseName:"MERIT 1983"}, |
---|
| 1732 | "SGS85": {a:6378136.0, rf:298.257, ellipseName:"Soviet Geodetic System 85"}, |
---|
| 1733 | "GRS80": {a:6378137.0, rf:298.257222101, ellipseName:"GRS 1980(IUGG, 1980)"}, |
---|
| 1734 | "IAU76": {a:6378140.0, rf:298.257, ellipseName:"IAU 1976"}, |
---|
| 1735 | "airy": {a:6377563.396, b:6356256.910, ellipseName:"Airy 1830"}, |
---|
| 1736 | "APL4.": {a:6378137, rf:298.25, ellipseName:"Appl. Physics. 1965"}, |
---|
| 1737 | "NWL9D": {a:6378145.0, rf:298.25, ellipseName:"Naval Weapons Lab., 1965"}, |
---|
| 1738 | "mod_airy": {a:6377340.189, b:6356034.446, ellipseName:"Modified Airy"}, |
---|
| 1739 | "andrae": {a:6377104.43, rf:300.0, ellipseName:"Andrae 1876 (Den., Iclnd.)"}, |
---|
| 1740 | "aust_SA": {a:6378160.0, rf:298.25, ellipseName:"Australian Natl & S. Amer. 1969"}, |
---|
| 1741 | "GRS67": {a:6378160.0, rf:298.2471674270, ellipseName:"GRS 67(IUGG 1967)"}, |
---|
| 1742 | "bessel": {a:6377397.155, rf:299.1528128, ellipseName:"Bessel 1841"}, |
---|
| 1743 | "bess_nam": {a:6377483.865, rf:299.1528128, ellipseName:"Bessel 1841 (Namibia)"}, |
---|
| 1744 | "clrk66": {a:6378206.4, b:6356583.8, ellipseName:"Clarke 1866"}, |
---|
| 1745 | "clrk80": {a:6378249.145, rf:293.4663, ellipseName:"Clarke 1880 mod."}, |
---|
| 1746 | "CPM": {a:6375738.7, rf:334.29, ellipseName:"Comm. des Poids et Mesures 1799"}, |
---|
| 1747 | "delmbr": {a:6376428.0, rf:311.5, ellipseName:"Delambre 1810 (Belgium)"}, |
---|
| 1748 | "engelis": {a:6378136.05, rf:298.2566, ellipseName:"Engelis 1985"}, |
---|
| 1749 | "evrst30": {a:6377276.345, rf:300.8017, ellipseName:"Everest 1830"}, |
---|
| 1750 | "evrst48": {a:6377304.063, rf:300.8017, ellipseName:"Everest 1948"}, |
---|
| 1751 | "evrst56": {a:6377301.243, rf:300.8017, ellipseName:"Everest 1956"}, |
---|
| 1752 | "evrst69": {a:6377295.664, rf:300.8017, ellipseName:"Everest 1969"}, |
---|
| 1753 | "evrstSS": {a:6377298.556, rf:300.8017, ellipseName:"Everest (Sabah & Sarawak)"}, |
---|
| 1754 | "fschr60": {a:6378166.0, rf:298.3, ellipseName:"Fischer (Mercury Datum) 1960"}, |
---|
| 1755 | "fschr60m": {a:6378155.0, rf:298.3, ellipseName:"Fischer 1960"}, |
---|
| 1756 | "fschr68": {a:6378150.0, rf:298.3, ellipseName:"Fischer 1968"}, |
---|
| 1757 | "helmert": {a:6378200.0, rf:298.3, ellipseName:"Helmert 1906"}, |
---|
| 1758 | "hough": {a:6378270.0, rf:297.0, ellipseName:"Hough"}, |
---|
| 1759 | "intl": {a:6378388.0, rf:297.0, ellipseName:"International 1909 (Hayford)"}, |
---|
| 1760 | "kaula": {a:6378163.0, rf:298.24, ellipseName:"Kaula 1961"}, |
---|
| 1761 | "lerch": {a:6378139.0, rf:298.257, ellipseName:"Lerch 1979"}, |
---|
| 1762 | "mprts": {a:6397300.0, rf:191.0, ellipseName:"Maupertius 1738"}, |
---|
| 1763 | "new_intl": {a:6378157.5, b:6356772.2, ellipseName:"New International 1967"}, |
---|
| 1764 | "plessis": {a:6376523.0, rf:6355863.0, ellipseName:"Plessis 1817 (France)"}, |
---|
| 1765 | "krass": {a:6378245.0, rf:298.3, ellipseName:"Krassovsky, 1942"}, |
---|
| 1766 | "SEasia": {a:6378155.0, b:6356773.3205, ellipseName:"Southeast Asia"}, |
---|
| 1767 | "walbeck": {a:6376896.0, b:6355834.8467, ellipseName:"Walbeck"}, |
---|
| 1768 | "WGS60": {a:6378165.0, rf:298.3, ellipseName:"WGS 60"}, |
---|
| 1769 | "WGS66": {a:6378145.0, rf:298.25, ellipseName:"WGS 66"}, |
---|
| 1770 | "WGS72": {a:6378135.0, rf:298.26, ellipseName:"WGS 72"}, |
---|
| 1771 | "WGS84": {a:6378137.0, rf:298.257223563, ellipseName:"WGS 84"}, |
---|
| 1772 | "sphere": {a:6370997.0, b:6370997.0, ellipseName:"Normal Sphere (r=6370997)"} |
---|
| 1773 | }; |
---|
| 1774 | |
---|
| 1775 | Proj4js.Datum = { |
---|
| 1776 | "WGS84": {towgs84: "0,0,0", ellipse: "WGS84", datumName: "WGS84"}, |
---|
| 1777 | "GGRS87": {towgs84: "-199.87,74.79,246.62", ellipse: "GRS80", datumName: "Greek_Geodetic_Reference_System_1987"}, |
---|
| 1778 | "NAD83": {towgs84: "0,0,0", ellipse: "GRS80", datumName: "North_American_Datum_1983"}, |
---|
| 1779 | "NAD27": {nadgrids: "@conus,@alaska,@ntv2_0.gsb,@ntv1_can.dat", ellipse: "clrk66", datumName: "North_American_Datum_1927"}, |
---|
| 1780 | "potsdam": {towgs84: "606.0,23.0,413.0", ellipse: "bessel", datumName: "Potsdam Rauenberg 1950 DHDN"}, |
---|
| 1781 | "carthage": {towgs84: "-263.0,6.0,431.0", ellipse: "clark80", datumName: "Carthage 1934 Tunisia"}, |
---|
| 1782 | "hermannskogel": {towgs84: "653.0,-212.0,449.0", ellipse: "bessel", datumName: "Hermannskogel"}, |
---|
| 1783 | "ire65": {towgs84: "482.530,-130.596,564.557,-1.042,-0.214,-0.631,8.15", ellipse: "mod_airy", datumName: "Ireland 1965"}, |
---|
| 1784 | "nzgd49": {towgs84: "59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993", ellipse: "intl", datumName: "New Zealand Geodetic Datum 1949"}, |
---|
| 1785 | "OSGB36": {towgs84: "446.448,-125.157,542.060,0.1502,0.2470,0.8421,-20.4894", ellipse: "airy", datumName: "Airy 1830"} |
---|
| 1786 | }; |
---|
| 1787 | |
---|
| 1788 | Proj4js.WGS84 = new Proj4js.Proj('WGS84'); |
---|
| 1789 | Proj4js.Datum['OSB36'] = Proj4js.Datum['OSGB36']; //as returned from spatialreference.org |
---|
| 1790 | |
---|
| 1791 | //lookup table to go from the projection name in WKT to the Proj4js projection name |
---|
| 1792 | //build this out as required |
---|
| 1793 | Proj4js.wktProjections = { |
---|
| 1794 | "Lambert Tangential Conformal Conic Projection": "lcc", |
---|
| 1795 | "Mercator": "merc", |
---|
| 1796 | "Popular Visualisation Pseudo Mercator": "merc", |
---|
| 1797 | "Transverse_Mercator": "tmerc", |
---|
| 1798 | "Transverse Mercator": "tmerc", |
---|
| 1799 | "Lambert Azimuthal Equal Area": "laea", |
---|
| 1800 | "Universal Transverse Mercator System": "utm" |
---|
| 1801 | }; |
---|
| 1802 | |
---|
| 1803 | |
---|
| 1804 | /* ====================================================================== |
---|
| 1805 | projCode/aea.js |
---|
| 1806 | ====================================================================== */ |
---|
| 1807 | |
---|
| 1808 | /******************************************************************************* |
---|
| 1809 | NAME ALBERS CONICAL EQUAL AREA |
---|
| 1810 | |
---|
| 1811 | PURPOSE: Transforms input longitude and latitude to Easting and Northing |
---|
| 1812 | for the Albers Conical Equal Area projection. The longitude |
---|
| 1813 | and latitude must be in radians. The Easting and Northing |
---|
| 1814 | values will be returned in meters. |
---|
| 1815 | |
---|
| 1816 | PROGRAMMER DATE |
---|
| 1817 | ---------- ---- |
---|
| 1818 | T. Mittan, Feb, 1992 |
---|
| 1819 | |
---|
| 1820 | ALGORITHM REFERENCES |
---|
| 1821 | |
---|
| 1822 | 1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 1823 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 1824 | State Government Printing Office, Washington D.C., 1987. |
---|
| 1825 | |
---|
| 1826 | 2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections", |
---|
| 1827 | U.S. Geological Survey Professional Paper 1453 , United State Government |
---|
| 1828 | Printing Office, Washington D.C., 1989. |
---|
| 1829 | *******************************************************************************/ |
---|
| 1830 | |
---|
| 1831 | |
---|
| 1832 | Proj4js.Proj.aea = { |
---|
| 1833 | init : function() { |
---|
| 1834 | |
---|
| 1835 | if (Math.abs(this.lat1 + this.lat2) < Proj4js.common.EPSLN) { |
---|
| 1836 | Proj4js.reportError("aeaInitEqualLatitudes"); |
---|
| 1837 | return; |
---|
| 1838 | } |
---|
| 1839 | this.temp = this.b / this.a; |
---|
| 1840 | this.es = 1.0 - Math.pow(this.temp,2); |
---|
| 1841 | this.e3 = Math.sqrt(this.es); |
---|
| 1842 | |
---|
| 1843 | this.sin_po=Math.sin(this.lat1); |
---|
| 1844 | this.cos_po=Math.cos(this.lat1); |
---|
| 1845 | this.t1=this.sin_po; |
---|
| 1846 | this.con = this.sin_po; |
---|
| 1847 | this.ms1 = Proj4js.common.msfnz(this.e3,this.sin_po,this.cos_po); |
---|
| 1848 | this.qs1 = Proj4js.common.qsfnz(this.e3,this.sin_po,this.cos_po); |
---|
| 1849 | |
---|
| 1850 | this.sin_po=Math.sin(this.lat2); |
---|
| 1851 | this.cos_po=Math.cos(this.lat2); |
---|
| 1852 | this.t2=this.sin_po; |
---|
| 1853 | this.ms2 = Proj4js.common.msfnz(this.e3,this.sin_po,this.cos_po); |
---|
| 1854 | this.qs2 = Proj4js.common.qsfnz(this.e3,this.sin_po,this.cos_po); |
---|
| 1855 | |
---|
| 1856 | this.sin_po=Math.sin(this.lat0); |
---|
| 1857 | this.cos_po=Math.cos(this.lat0); |
---|
| 1858 | this.t3=this.sin_po; |
---|
| 1859 | this.qs0 = Proj4js.common.qsfnz(this.e3,this.sin_po,this.cos_po); |
---|
| 1860 | |
---|
| 1861 | if (Math.abs(this.lat1 - this.lat2) > Proj4js.common.EPSLN) { |
---|
| 1862 | this.ns0 = (this.ms1 * this.ms1 - this.ms2 *this.ms2)/ (this.qs2 - this.qs1); |
---|
| 1863 | } else { |
---|
| 1864 | this.ns0 = this.con; |
---|
| 1865 | } |
---|
| 1866 | this.c = this.ms1 * this.ms1 + this.ns0 * this.qs1; |
---|
| 1867 | this.rh = this.a * Math.sqrt(this.c - this.ns0 * this.qs0)/this.ns0; |
---|
| 1868 | }, |
---|
| 1869 | |
---|
| 1870 | /* Albers Conical Equal Area forward equations--mapping lat,long to x,y |
---|
| 1871 | -------------------------------------------------------------------*/ |
---|
| 1872 | forward: function(p){ |
---|
| 1873 | |
---|
| 1874 | var lon=p.x; |
---|
| 1875 | var lat=p.y; |
---|
| 1876 | |
---|
| 1877 | this.sin_phi=Math.sin(lat); |
---|
| 1878 | this.cos_phi=Math.cos(lat); |
---|
| 1879 | |
---|
| 1880 | var qs = Proj4js.common.qsfnz(this.e3,this.sin_phi,this.cos_phi); |
---|
| 1881 | var rh1 =this.a * Math.sqrt(this.c - this.ns0 * qs)/this.ns0; |
---|
| 1882 | var theta = this.ns0 * Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 1883 | var x = rh1 * Math.sin(theta) + this.x0; |
---|
| 1884 | var y = this.rh - rh1 * Math.cos(theta) + this.y0; |
---|
| 1885 | |
---|
| 1886 | p.x = x; |
---|
| 1887 | p.y = y; |
---|
| 1888 | return p; |
---|
| 1889 | }, |
---|
| 1890 | |
---|
| 1891 | |
---|
| 1892 | inverse: function(p) { |
---|
| 1893 | var rh1,qs,con,theta,lon,lat; |
---|
| 1894 | |
---|
| 1895 | p.x -= this.x0; |
---|
| 1896 | p.y = this.rh - p.y + this.y0; |
---|
| 1897 | if (this.ns0 >= 0) { |
---|
| 1898 | rh1 = Math.sqrt(p.x *p.x + p.y * p.y); |
---|
| 1899 | con = 1.0; |
---|
| 1900 | } else { |
---|
| 1901 | rh1 = -Math.sqrt(p.x * p.x + p.y *p.y); |
---|
| 1902 | con = -1.0; |
---|
| 1903 | } |
---|
| 1904 | theta = 0.0; |
---|
| 1905 | if (rh1 != 0.0) { |
---|
| 1906 | theta = Math.atan2(con * p.x, con * p.y); |
---|
| 1907 | } |
---|
| 1908 | con = rh1 * this.ns0 / this.a; |
---|
| 1909 | qs = (this.c - con * con) / this.ns0; |
---|
| 1910 | if (this.e3 >= 1e-10) { |
---|
| 1911 | con = 1 - .5 * (1.0 -this.es) * Math.log((1.0 - this.e3) / (1.0 + this.e3))/this.e3; |
---|
| 1912 | if (Math.abs(Math.abs(con) - Math.abs(qs)) > .0000000001 ) { |
---|
| 1913 | lat = this.phi1z(this.e3,qs); |
---|
| 1914 | } else { |
---|
| 1915 | if (qs >= 0) { |
---|
| 1916 | lat = .5 * PI; |
---|
| 1917 | } else { |
---|
| 1918 | lat = -.5 * PI; |
---|
| 1919 | } |
---|
| 1920 | } |
---|
| 1921 | } else { |
---|
| 1922 | lat = this.phi1z(e3,qs); |
---|
| 1923 | } |
---|
| 1924 | |
---|
| 1925 | lon = Proj4js.common.adjust_lon(theta/this.ns0 + this.long0); |
---|
| 1926 | p.x = lon; |
---|
| 1927 | p.y = lat; |
---|
| 1928 | return p; |
---|
| 1929 | }, |
---|
| 1930 | |
---|
| 1931 | /* Function to compute phi1, the latitude for the inverse of the |
---|
| 1932 | Albers Conical Equal-Area projection. |
---|
| 1933 | -------------------------------------------*/ |
---|
| 1934 | phi1z: function (eccent,qs) { |
---|
| 1935 | var con, com, dphi; |
---|
| 1936 | var phi = Proj4js.common.asinz(.5 * qs); |
---|
| 1937 | if (eccent < Proj4js.common.EPSLN) return phi; |
---|
| 1938 | |
---|
| 1939 | var eccnts = eccent * eccent; |
---|
| 1940 | for (var i = 1; i <= 25; i++) { |
---|
| 1941 | sinphi = Math.sin(phi); |
---|
| 1942 | cosphi = Math.cos(phi); |
---|
| 1943 | con = eccent * sinphi; |
---|
| 1944 | com = 1.0 - con * con; |
---|
| 1945 | dphi = .5 * com * com / cosphi * (qs / (1.0 - eccnts) - sinphi / com + .5 / eccent * Math.log((1.0 - con) / (1.0 + con))); |
---|
| 1946 | phi = phi + dphi; |
---|
| 1947 | if (Math.abs(dphi) <= 1e-7) return phi; |
---|
| 1948 | } |
---|
| 1949 | Proj4js.reportError("aea:phi1z:Convergence error"); |
---|
| 1950 | return null; |
---|
| 1951 | } |
---|
| 1952 | |
---|
| 1953 | }; |
---|
| 1954 | |
---|
| 1955 | |
---|
| 1956 | |
---|
| 1957 | /* ====================================================================== |
---|
| 1958 | projCode/sterea.js |
---|
| 1959 | ====================================================================== */ |
---|
| 1960 | |
---|
| 1961 | |
---|
| 1962 | Proj4js.Proj.sterea = { |
---|
| 1963 | dependsOn : 'gauss', |
---|
| 1964 | |
---|
| 1965 | init : function() { |
---|
| 1966 | Proj4js.Proj['gauss'].init.apply(this); |
---|
| 1967 | if (!this.rc) { |
---|
| 1968 | Proj4js.reportError("sterea:init:E_ERROR_0"); |
---|
| 1969 | return; |
---|
| 1970 | } |
---|
| 1971 | this.sinc0 = Math.sin(this.phic0); |
---|
| 1972 | this.cosc0 = Math.cos(this.phic0); |
---|
| 1973 | this.R2 = 2.0 * this.rc; |
---|
| 1974 | if (!this.title) this.title = "Oblique Stereographic Alternative"; |
---|
| 1975 | }, |
---|
| 1976 | |
---|
| 1977 | forward : function(p) { |
---|
| 1978 | p.x = Proj4js.common.adjust_lon(p.x-this.long0); /* adjust del longitude */ |
---|
| 1979 | Proj4js.Proj['gauss'].forward.apply(this, [p]); |
---|
| 1980 | sinc = Math.sin(p.y); |
---|
| 1981 | cosc = Math.cos(p.y); |
---|
| 1982 | cosl = Math.cos(p.x); |
---|
| 1983 | k = this.k0 * this.R2 / (1.0 + this.sinc0 * sinc + this.cosc0 * cosc * cosl); |
---|
| 1984 | p.x = k * cosc * Math.sin(p.x); |
---|
| 1985 | p.y = k * (this.cosc0 * sinc - this.sinc0 * cosc * cosl); |
---|
| 1986 | p.x = this.a * p.x + this.x0; |
---|
| 1987 | p.y = this.a * p.y + this.y0; |
---|
| 1988 | return p; |
---|
| 1989 | }, |
---|
| 1990 | |
---|
| 1991 | inverse : function(p) { |
---|
| 1992 | var lon,lat; |
---|
| 1993 | p.x = (p.x - this.x0) / this.a; /* descale and de-offset */ |
---|
| 1994 | p.y = (p.y - this.y0) / this.a; |
---|
| 1995 | |
---|
| 1996 | p.x /= this.k0; |
---|
| 1997 | p.y /= this.k0; |
---|
| 1998 | if ( (rho = Math.sqrt(p.x*p.x + p.y*p.y)) ) { |
---|
| 1999 | c = 2.0 * Math.atan2(rho, this.R2); |
---|
| 2000 | sinc = Math.sin(c); |
---|
| 2001 | cosc = Math.cos(c); |
---|
| 2002 | lat = Math.asin(cosc * this.sinc0 + p.y * sinc * this.cosc0 / rho); |
---|
| 2003 | lon = Math.atan2(p.x * sinc, rho * this.cosc0 * cosc - p.y * this.sinc0 * sinc); |
---|
| 2004 | } else { |
---|
| 2005 | lat = this.phic0; |
---|
| 2006 | lon = 0.; |
---|
| 2007 | } |
---|
| 2008 | |
---|
| 2009 | p.x = lon; |
---|
| 2010 | p.y = lat; |
---|
| 2011 | Proj4js.Proj['gauss'].inverse.apply(this,[p]); |
---|
| 2012 | p.x = Proj4js.common.adjust_lon(p.x + this.long0); /* adjust longitude to CM */ |
---|
| 2013 | return p; |
---|
| 2014 | } |
---|
| 2015 | }; |
---|
| 2016 | |
---|
| 2017 | /* ====================================================================== |
---|
| 2018 | projCode/poly.js |
---|
| 2019 | ====================================================================== */ |
---|
| 2020 | |
---|
| 2021 | /* Function to compute, phi4, the latitude for the inverse of the |
---|
| 2022 | Polyconic projection. |
---|
| 2023 | ------------------------------------------------------------*/ |
---|
| 2024 | function phi4z (eccent,e0,e1,e2,e3,a,b,c,phi) { |
---|
| 2025 | var sinphi, sin2ph, tanph, ml, mlp, con1, con2, con3, dphi, i; |
---|
| 2026 | |
---|
| 2027 | phi = a; |
---|
| 2028 | for (i = 1; i <= 15; i++) { |
---|
| 2029 | sinphi = Math.sin(phi); |
---|
| 2030 | tanphi = Math.tan(phi); |
---|
| 2031 | c = tanphi * Math.sqrt (1.0 - eccent * sinphi * sinphi); |
---|
| 2032 | sin2ph = Math.sin (2.0 * phi); |
---|
| 2033 | /* |
---|
| 2034 | ml = e0 * *phi - e1 * sin2ph + e2 * sin (4.0 * *phi); |
---|
| 2035 | mlp = e0 - 2.0 * e1 * cos (2.0 * *phi) + 4.0 * e2 * cos (4.0 * *phi); |
---|
| 2036 | */ |
---|
| 2037 | ml = e0 * phi - e1 * sin2ph + e2 * Math.sin (4.0 * phi) - e3 * Math.sin (6.0 * phi); |
---|
| 2038 | 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); |
---|
| 2039 | con1 = 2.0 * ml + c * (ml * ml + b) - 2.0 * a * (c * ml + 1.0); |
---|
| 2040 | con2 = eccent * sin2ph * (ml * ml + b - 2.0 * a * ml) / (2.0 *c); |
---|
| 2041 | con3 = 2.0 * (a - ml) * (c * mlp - 2.0 / sin2ph) - 2.0 * mlp; |
---|
| 2042 | dphi = con1 / (con2 + con3); |
---|
| 2043 | phi += dphi; |
---|
| 2044 | if (Math.abs(dphi) <= .0000000001 ) return(phi); |
---|
| 2045 | } |
---|
| 2046 | Proj4js.reportError("phi4z: No convergence"); |
---|
| 2047 | return null; |
---|
| 2048 | } |
---|
| 2049 | |
---|
| 2050 | |
---|
| 2051 | /* Function to compute the constant e4 from the input of the eccentricity |
---|
| 2052 | of the spheroid, x. This constant is used in the Polar Stereographic |
---|
| 2053 | projection. |
---|
| 2054 | --------------------------------------------------------------------*/ |
---|
| 2055 | function e4fn(x) { |
---|
| 2056 | var con, com; |
---|
| 2057 | con = 1.0 + x; |
---|
| 2058 | com = 1.0 - x; |
---|
| 2059 | return (Math.sqrt((Math.pow(con,con))*(Math.pow(com,com)))); |
---|
| 2060 | } |
---|
| 2061 | |
---|
| 2062 | |
---|
| 2063 | |
---|
| 2064 | |
---|
| 2065 | |
---|
| 2066 | /******************************************************************************* |
---|
| 2067 | NAME POLYCONIC |
---|
| 2068 | |
---|
| 2069 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 2070 | Northing for the Polyconic projection. The |
---|
| 2071 | longitude and latitude must be in radians. The Easting |
---|
| 2072 | and Northing values will be returned in meters. |
---|
| 2073 | |
---|
| 2074 | PROGRAMMER DATE |
---|
| 2075 | ---------- ---- |
---|
| 2076 | T. Mittan Mar, 1993 |
---|
| 2077 | |
---|
| 2078 | ALGORITHM REFERENCES |
---|
| 2079 | |
---|
| 2080 | 1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 2081 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 2082 | State Government Printing Office, Washington D.C., 1987. |
---|
| 2083 | |
---|
| 2084 | 2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections", |
---|
| 2085 | U.S. Geological Survey Professional Paper 1453 , United State Government |
---|
| 2086 | Printing Office, Washington D.C., 1989. |
---|
| 2087 | *******************************************************************************/ |
---|
| 2088 | |
---|
| 2089 | Proj4js.Proj.poly = { |
---|
| 2090 | |
---|
| 2091 | /* Initialize the POLYCONIC projection |
---|
| 2092 | ----------------------------------*/ |
---|
| 2093 | init: function() { |
---|
| 2094 | var temp; /* temporary variable */ |
---|
| 2095 | if (this.lat0=0) this.lat0=90;//this.lat0 ca |
---|
| 2096 | |
---|
| 2097 | /* Place parameters in static storage for common use |
---|
| 2098 | -------------------------------------------------*/ |
---|
| 2099 | this.temp = this.b / this.a; |
---|
| 2100 | 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 |
---|
| 2101 | this.e = Math.sqrt(this.es); |
---|
| 2102 | this.e0 = Proj4js.common.e0fn(this.es); |
---|
| 2103 | this.e1 = Proj4js.common.e1fn(this.es); |
---|
| 2104 | this.e2 = Proj4js.common.e2fn(this.es); |
---|
| 2105 | this.e3 = Proj4js.common.e3fn(this.es); |
---|
| 2106 | 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 |
---|
| 2107 | //if (!this.ml0) {this.ml0=0;} |
---|
| 2108 | }, |
---|
| 2109 | |
---|
| 2110 | |
---|
| 2111 | /* Polyconic forward equations--mapping lat,long to x,y |
---|
| 2112 | ---------------------------------------------------*/ |
---|
| 2113 | forward: function(p) { |
---|
| 2114 | var sinphi, cosphi; /* sin and cos value */ |
---|
| 2115 | var al; /* temporary values */ |
---|
| 2116 | var c; /* temporary values */ |
---|
| 2117 | var con, ml; /* cone constant, small m */ |
---|
| 2118 | var ms; /* small m */ |
---|
| 2119 | var x,y; |
---|
| 2120 | |
---|
| 2121 | var lon=p.x; |
---|
| 2122 | var lat=p.y; |
---|
| 2123 | |
---|
| 2124 | con = Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 2125 | if (Math.abs(lat) <= .0000001) { |
---|
| 2126 | x = this.x0 + this.a * con; |
---|
| 2127 | y = this.y0 - this.a * this.ml0; |
---|
| 2128 | } else { |
---|
| 2129 | sinphi = Math.sin(lat); |
---|
| 2130 | cosphi = Math.cos(lat); |
---|
| 2131 | |
---|
| 2132 | ml = Proj4js.common.mlfn(this.e0, this.e1, this.e2, this.e3, lat); |
---|
| 2133 | ms = Proj4js.common.msfnz(this.e,sinphi,cosphi); |
---|
| 2134 | con = sinphi; |
---|
| 2135 | x = this.x0 + this.a * ms * Math.sin(con)/sinphi; |
---|
| 2136 | y = this.y0 + this.a * (ml - this.ml0 + ms * (1.0 - Math.cos(con))/sinphi); |
---|
| 2137 | } |
---|
| 2138 | |
---|
| 2139 | p.x=x; |
---|
| 2140 | p.y=y; |
---|
| 2141 | return p; |
---|
| 2142 | }, |
---|
| 2143 | |
---|
| 2144 | |
---|
| 2145 | /* Inverse equations |
---|
| 2146 | -----------------*/ |
---|
| 2147 | inverse: function(p) { |
---|
| 2148 | var sin_phi, cos_phi; /* sin and cos value */ |
---|
| 2149 | var al; /* temporary values */ |
---|
| 2150 | var b; /* temporary values */ |
---|
| 2151 | var c; /* temporary values */ |
---|
| 2152 | var con, ml; /* cone constant, small m */ |
---|
| 2153 | var iflg; /* error flag */ |
---|
| 2154 | var lon,lat; |
---|
| 2155 | p.x -= this.x0; |
---|
| 2156 | p.y -= this.y0; |
---|
| 2157 | al = this.ml0 + p.y/this.a; |
---|
| 2158 | iflg = 0; |
---|
| 2159 | |
---|
| 2160 | if (Math.abs(al) <= .0000001) { |
---|
| 2161 | lon = p.x/this.a + this.long0; |
---|
| 2162 | lat = 0.0; |
---|
| 2163 | } else { |
---|
| 2164 | b = al * al + (p.x/this.a) * (p.x/this.a); |
---|
| 2165 | iflg = phi4z(this.es,this.e0,this.e1,this.e2,this.e3,this.al,b,c,lat); |
---|
| 2166 | if (iflg != 1) return(iflg); |
---|
| 2167 | lon = Proj4js.common.adjust_lon((Proj4js.common.asinz(p.x * c / this.a) / Math.sin(lat)) + this.long0); |
---|
| 2168 | } |
---|
| 2169 | |
---|
| 2170 | p.x=lon; |
---|
| 2171 | p.y=lat; |
---|
| 2172 | return p; |
---|
| 2173 | } |
---|
| 2174 | }; |
---|
| 2175 | |
---|
| 2176 | |
---|
| 2177 | |
---|
| 2178 | /* ====================================================================== |
---|
| 2179 | projCode/equi.js |
---|
| 2180 | ====================================================================== */ |
---|
| 2181 | |
---|
| 2182 | /******************************************************************************* |
---|
| 2183 | NAME EQUIRECTANGULAR |
---|
| 2184 | |
---|
| 2185 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 2186 | Northing for the Equirectangular projection. The |
---|
| 2187 | longitude and latitude must be in radians. The Easting |
---|
| 2188 | and Northing values will be returned in meters. |
---|
| 2189 | |
---|
| 2190 | PROGRAMMER DATE |
---|
| 2191 | ---------- ---- |
---|
| 2192 | T. Mittan Mar, 1993 |
---|
| 2193 | |
---|
| 2194 | ALGORITHM REFERENCES |
---|
| 2195 | |
---|
| 2196 | 1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 2197 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 2198 | State Government Printing Office, Washington D.C., 1987. |
---|
| 2199 | |
---|
| 2200 | 2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections", |
---|
| 2201 | U.S. Geological Survey Professional Paper 1453 , United State Government |
---|
| 2202 | Printing Office, Washington D.C., 1989. |
---|
| 2203 | *******************************************************************************/ |
---|
| 2204 | Proj4js.Proj.equi = { |
---|
| 2205 | |
---|
| 2206 | init: function() { |
---|
| 2207 | if(!this.x0) this.x0=0; |
---|
| 2208 | if(!this.y0) this.y0=0; |
---|
| 2209 | if(!this.lat0) this.lat0=0; |
---|
| 2210 | if(!this.long0) this.long0=0; |
---|
| 2211 | ///this.t2; |
---|
| 2212 | }, |
---|
| 2213 | |
---|
| 2214 | |
---|
| 2215 | |
---|
| 2216 | /* Equirectangular forward equations--mapping lat,long to x,y |
---|
| 2217 | ---------------------------------------------------------*/ |
---|
| 2218 | forward: function(p) { |
---|
| 2219 | |
---|
| 2220 | var lon=p.x; |
---|
| 2221 | var lat=p.y; |
---|
| 2222 | |
---|
| 2223 | var dlon = Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 2224 | var x = this.x0 +this. a * dlon *Math.cos(this.lat0); |
---|
| 2225 | var y = this.y0 + this.a * lat; |
---|
| 2226 | |
---|
| 2227 | this.t1=x; |
---|
| 2228 | this.t2=Math.cos(this.lat0); |
---|
| 2229 | p.x=x; |
---|
| 2230 | p.y=y; |
---|
| 2231 | return p; |
---|
| 2232 | }, //equiFwd() |
---|
| 2233 | |
---|
| 2234 | |
---|
| 2235 | |
---|
| 2236 | /* Equirectangular inverse equations--mapping x,y to lat/long |
---|
| 2237 | ---------------------------------------------------------*/ |
---|
| 2238 | inverse: function(p) { |
---|
| 2239 | |
---|
| 2240 | p.x -= this.x0; |
---|
| 2241 | p.y -= this.y0; |
---|
| 2242 | var lat = p.y /this. a; |
---|
| 2243 | |
---|
| 2244 | if ( Math.abs(lat) > Proj4js.common.HALF_PI) { |
---|
| 2245 | Proj4js.reportError("equi:Inv:DataError"); |
---|
| 2246 | } |
---|
| 2247 | var lon = Proj4js.common.adjust_lon(this.long0 + p.x / (this.a * Math.cos(this.lat0))); |
---|
| 2248 | p.x=lon; |
---|
| 2249 | p.y=lat; |
---|
| 2250 | }//equiInv() |
---|
| 2251 | }; |
---|
| 2252 | |
---|
| 2253 | |
---|
| 2254 | /* ====================================================================== |
---|
| 2255 | projCode/merc.js |
---|
| 2256 | ====================================================================== */ |
---|
| 2257 | |
---|
| 2258 | /******************************************************************************* |
---|
| 2259 | NAME MERCATOR |
---|
| 2260 | |
---|
| 2261 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 2262 | Northing for the Mercator projection. The |
---|
| 2263 | longitude and latitude must be in radians. The Easting |
---|
| 2264 | and Northing values will be returned in meters. |
---|
| 2265 | |
---|
| 2266 | PROGRAMMER DATE |
---|
| 2267 | ---------- ---- |
---|
| 2268 | D. Steinwand, EROS Nov, 1991 |
---|
| 2269 | T. Mittan Mar, 1993 |
---|
| 2270 | |
---|
| 2271 | ALGORITHM REFERENCES |
---|
| 2272 | |
---|
| 2273 | 1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 2274 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 2275 | State Government Printing Office, Washington D.C., 1987. |
---|
| 2276 | |
---|
| 2277 | 2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections", |
---|
| 2278 | U.S. Geological Survey Professional Paper 1453 , United State Government |
---|
| 2279 | Printing Office, Washington D.C., 1989. |
---|
| 2280 | *******************************************************************************/ |
---|
| 2281 | |
---|
| 2282 | //static double r_major = a; /* major axis */ |
---|
| 2283 | //static double r_minor = b; /* minor axis */ |
---|
| 2284 | //static double lon_center = long0; /* Center longitude (projection center) */ |
---|
| 2285 | //static double lat_origin = lat0; /* center latitude */ |
---|
| 2286 | //static double e,es; /* eccentricity constants */ |
---|
| 2287 | //static double m1; /* small value m */ |
---|
| 2288 | //static double false_northing = y0; /* y offset in meters */ |
---|
| 2289 | //static double false_easting = x0; /* x offset in meters */ |
---|
| 2290 | //scale_fact = k0 |
---|
| 2291 | |
---|
| 2292 | Proj4js.Proj.merc = { |
---|
| 2293 | init : function() { |
---|
| 2294 | //?this.temp = this.r_minor / this.r_major; |
---|
| 2295 | //this.temp = this.b / this.a; |
---|
| 2296 | //this.es = 1.0 - Math.sqrt(this.temp); |
---|
| 2297 | //this.e = Math.sqrt( this.es ); |
---|
| 2298 | //?this.m1 = Math.cos(this.lat_origin) / (Math.sqrt( 1.0 - this.es * Math.sin(this.lat_origin) * Math.sin(this.lat_origin))); |
---|
| 2299 | //this.m1 = Math.cos(0.0) / (Math.sqrt( 1.0 - this.es * Math.sin(0.0) * Math.sin(0.0))); |
---|
| 2300 | if (this.lat_ts) { |
---|
| 2301 | if (this.sphere) { |
---|
| 2302 | this.k0 = Math.cos(this.lat_ts); |
---|
| 2303 | } else { |
---|
| 2304 | this.k0 = Proj4js.common.msfnz(this.es, Math.sin(this.lat_ts), Math.cos(this.lat_ts)); |
---|
| 2305 | } |
---|
| 2306 | } |
---|
| 2307 | }, |
---|
| 2308 | |
---|
| 2309 | /* Mercator forward equations--mapping lat,long to x,y |
---|
| 2310 | --------------------------------------------------*/ |
---|
| 2311 | |
---|
| 2312 | forward : function(p) { |
---|
| 2313 | //alert("ll2m coords : "+coords); |
---|
| 2314 | var lon = p.x; |
---|
| 2315 | var lat = p.y; |
---|
| 2316 | // convert to radians |
---|
| 2317 | if ( lat*Proj4js.common.R2D > 90.0 && |
---|
| 2318 | lat*Proj4js.common.R2D < -90.0 && |
---|
| 2319 | lon*Proj4js.common.R2D > 180.0 && |
---|
| 2320 | lon*Proj4js.common.R2D < -180.0) { |
---|
| 2321 | Proj4js.reportError("merc:forward: llInputOutOfRange: "+ lon +" : " + lat); |
---|
| 2322 | return null; |
---|
| 2323 | } |
---|
| 2324 | |
---|
| 2325 | var x,y; |
---|
| 2326 | if(Math.abs( Math.abs(lat) - Proj4js.common.HALF_PI) <= Proj4js.common.EPSLN) { |
---|
| 2327 | Proj4js.reportError("merc:forward: ll2mAtPoles"); |
---|
| 2328 | return null; |
---|
| 2329 | } else { |
---|
| 2330 | if (this.sphere) { |
---|
| 2331 | x = this.x0 + this.a * this.k0 * Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 2332 | y = this.y0 + this.a * this.k0 * Math.log(Math.tan(Proj4js.common.FORTPI + 0.5*lat)); |
---|
| 2333 | } else { |
---|
| 2334 | var sinphi = Math.sin(lat); |
---|
| 2335 | var ts = Proj4js.common.tsfnz(this.e,lat,sinphi); |
---|
| 2336 | x = this.x0 + this.a * this.k0 * Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 2337 | y = this.y0 - this.a * this.k0 * Math.log(ts); |
---|
| 2338 | } |
---|
| 2339 | p.x = x; |
---|
| 2340 | p.y = y; |
---|
| 2341 | return p; |
---|
| 2342 | } |
---|
| 2343 | }, |
---|
| 2344 | |
---|
| 2345 | |
---|
| 2346 | /* Mercator inverse equations--mapping x,y to lat/long |
---|
| 2347 | --------------------------------------------------*/ |
---|
| 2348 | inverse : function(p) { |
---|
| 2349 | |
---|
| 2350 | var x = p.x - this.x0; |
---|
| 2351 | var y = p.y - this.y0; |
---|
| 2352 | var lon,lat; |
---|
| 2353 | |
---|
| 2354 | if (this.sphere) { |
---|
| 2355 | lat = Proj4js.common.HALF_PI - 2.0 * Math.atan(Math.exp(-y / this.a * this.k0)); |
---|
| 2356 | } else { |
---|
| 2357 | var ts = Math.exp(-y / (this.a * this.k0)); |
---|
| 2358 | lat = Proj4js.common.phi2z(this.e,ts); |
---|
| 2359 | if(lat == -9999) { |
---|
| 2360 | Proj4js.reportError("merc:inverse: lat = -9999"); |
---|
| 2361 | return null; |
---|
| 2362 | } |
---|
| 2363 | } |
---|
| 2364 | lon = Proj4js.common.adjust_lon(this.long0+ x / (this.a * this.k0)); |
---|
| 2365 | |
---|
| 2366 | p.x = lon; |
---|
| 2367 | p.y = lat; |
---|
| 2368 | return p; |
---|
| 2369 | } |
---|
| 2370 | }; |
---|
| 2371 | |
---|
| 2372 | |
---|
| 2373 | /* ====================================================================== |
---|
| 2374 | projCode/utm.js |
---|
| 2375 | ====================================================================== */ |
---|
| 2376 | |
---|
| 2377 | /******************************************************************************* |
---|
| 2378 | NAME TRANSVERSE MERCATOR |
---|
| 2379 | |
---|
| 2380 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 2381 | Northing for the Transverse Mercator projection. The |
---|
| 2382 | longitude and latitude must be in radians. The Easting |
---|
| 2383 | and Northing values will be returned in meters. |
---|
| 2384 | |
---|
| 2385 | ALGORITHM REFERENCES |
---|
| 2386 | |
---|
| 2387 | 1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 2388 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 2389 | State Government Printing Office, Washington D.C., 1987. |
---|
| 2390 | |
---|
| 2391 | 2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections", |
---|
| 2392 | U.S. Geological Survey Professional Paper 1453 , United State Government |
---|
| 2393 | Printing Office, Washington D.C., 1989. |
---|
| 2394 | *******************************************************************************/ |
---|
| 2395 | |
---|
| 2396 | |
---|
| 2397 | /** |
---|
| 2398 | Initialize Transverse Mercator projection |
---|
| 2399 | */ |
---|
| 2400 | |
---|
| 2401 | Proj4js.Proj.utm = { |
---|
| 2402 | dependsOn : 'tmerc', |
---|
| 2403 | |
---|
| 2404 | init : function() { |
---|
| 2405 | if (!this.zone) { |
---|
| 2406 | Proj4js.reportError("utm:init: zone must be specified for UTM"); |
---|
| 2407 | return; |
---|
| 2408 | } |
---|
| 2409 | this.lat0 = 0.0; |
---|
| 2410 | this.long0 = ((6 * Math.abs(this.zone)) - 183) * Proj4js.common.D2R; |
---|
| 2411 | this.x0 = 500000.0; |
---|
| 2412 | this.y0 = this.utmSouth ? 10000000.0 : 0.0; |
---|
| 2413 | this.k0 = 0.9996; |
---|
| 2414 | |
---|
| 2415 | Proj4js.Proj['tmerc'].init.apply(this); |
---|
| 2416 | this.forward = Proj4js.Proj['tmerc'].forward; |
---|
| 2417 | this.inverse = Proj4js.Proj['tmerc'].inverse; |
---|
| 2418 | } |
---|
| 2419 | }; |
---|
| 2420 | /* ====================================================================== |
---|
| 2421 | projCode/eqdc.js |
---|
| 2422 | ====================================================================== */ |
---|
| 2423 | |
---|
| 2424 | /******************************************************************************* |
---|
| 2425 | NAME EQUIDISTANT CONIC |
---|
| 2426 | |
---|
| 2427 | PURPOSE: Transforms input longitude and latitude to Easting and Northing |
---|
| 2428 | for the Equidistant Conic projection. The longitude and |
---|
| 2429 | latitude must be in radians. The Easting and Northing values |
---|
| 2430 | will be returned in meters. |
---|
| 2431 | |
---|
| 2432 | PROGRAMMER DATE |
---|
| 2433 | ---------- ---- |
---|
| 2434 | T. Mittan Mar, 1993 |
---|
| 2435 | |
---|
| 2436 | ALGORITHM REFERENCES |
---|
| 2437 | |
---|
| 2438 | 1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 2439 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 2440 | State Government Printing Office, Washington D.C., 1987. |
---|
| 2441 | |
---|
| 2442 | 2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections", |
---|
| 2443 | U.S. Geological Survey Professional Paper 1453 , United State Government |
---|
| 2444 | Printing Office, Washington D.C., 1989. |
---|
| 2445 | *******************************************************************************/ |
---|
| 2446 | |
---|
| 2447 | /* Variables common to all subroutines in this code file |
---|
| 2448 | -----------------------------------------------------*/ |
---|
| 2449 | |
---|
| 2450 | Proj4js.Proj.eqdc = { |
---|
| 2451 | |
---|
| 2452 | /* Initialize the Equidistant Conic projection |
---|
| 2453 | ------------------------------------------*/ |
---|
| 2454 | init: function() { |
---|
| 2455 | |
---|
| 2456 | /* Place parameters in static storage for common use |
---|
| 2457 | -------------------------------------------------*/ |
---|
| 2458 | |
---|
| 2459 | if(!this.mode) this.mode=0;//chosen default mode |
---|
| 2460 | this.temp = this.b / this.a; |
---|
| 2461 | this.es = 1.0 - Math.pow(this.temp,2); |
---|
| 2462 | this.e = Math.sqrt(this.es); |
---|
| 2463 | this.e0 = Proj4js.common.e0fn(this.es); |
---|
| 2464 | this.e1 = Proj4js.common.e1fn(this.es); |
---|
| 2465 | this.e2 = Proj4js.common.e2fn(this.es); |
---|
| 2466 | this.e3 = Proj4js.common.e3fn(this.es); |
---|
| 2467 | |
---|
| 2468 | this.sinphi=Math.sin(this.lat1); |
---|
| 2469 | this.cosphi=Math.cos(this.lat1); |
---|
| 2470 | |
---|
| 2471 | this.ms1 = Proj4js.common.msfnz(this.e,this.sinphi,this.cosphi); |
---|
| 2472 | this.ml1 = Proj4js.common.mlfn(this.e0, this.e1, this.e2,this.e3, this.lat1); |
---|
| 2473 | |
---|
| 2474 | /* format B |
---|
| 2475 | ---------*/ |
---|
| 2476 | if (this.mode != 0) { |
---|
| 2477 | if (Math.abs(this.lat1 + this.lat2) < Proj4js.common.EPSLN) { |
---|
| 2478 | Proj4js.reportError("eqdc:Init:EqualLatitudes"); |
---|
| 2479 | //return(81); |
---|
| 2480 | } |
---|
| 2481 | this.sinphi=Math.sin(this.lat2); |
---|
| 2482 | this.cosphi=Math.cos(this.lat2); |
---|
| 2483 | |
---|
| 2484 | this.ms2 = Proj4js.common.msfnz(this.e,this.sinphi,this.cosphi); |
---|
| 2485 | this.ml2 = Proj4js.common.mlfn(this.e0, this.e1, this.e2, this.e3, this.lat2); |
---|
| 2486 | if (Math.abs(this.lat1 - this.lat2) >= Proj4js.common.EPSLN) { |
---|
| 2487 | this.ns = (this.ms1 - this.ms2) / (this.ml2 - this.ml1); |
---|
| 2488 | } else { |
---|
| 2489 | this.ns = this.sinphi; |
---|
| 2490 | } |
---|
| 2491 | } else { |
---|
| 2492 | this.ns = this.sinphi; |
---|
| 2493 | } |
---|
| 2494 | this.g = this.ml1 + this.ms1/this.ns; |
---|
| 2495 | this.ml0 = Proj4js.common.mlfn(this.e0, this.e1,this. e2, this.e3, this.lat0); |
---|
| 2496 | this.rh = this.a * (this.g - this.ml0); |
---|
| 2497 | }, |
---|
| 2498 | |
---|
| 2499 | |
---|
| 2500 | /* Equidistant Conic forward equations--mapping lat,long to x,y |
---|
| 2501 | -----------------------------------------------------------*/ |
---|
| 2502 | forward: function(p) { |
---|
| 2503 | var lon=p.x; |
---|
| 2504 | var lat=p.y; |
---|
| 2505 | |
---|
| 2506 | /* Forward equations |
---|
| 2507 | -----------------*/ |
---|
| 2508 | var ml = Proj4js.common.mlfn(this.e0, this.e1, this.e2, this.e3, lat); |
---|
| 2509 | var rh1 = this.a * (this.g - ml); |
---|
| 2510 | var theta = this.ns * Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 2511 | |
---|
| 2512 | var x = this.x0 + rh1 * Math.sin(theta); |
---|
| 2513 | var y = this.y0 + this.rh - rh1 * Math.cos(theta); |
---|
| 2514 | p.x=x; |
---|
| 2515 | p.y=y; |
---|
| 2516 | return p; |
---|
| 2517 | }, |
---|
| 2518 | |
---|
| 2519 | /* Inverse equations |
---|
| 2520 | -----------------*/ |
---|
| 2521 | inverse: function(p) { |
---|
| 2522 | p.x -= this.x0; |
---|
| 2523 | p.y = this.rh - p.y + this.y0; |
---|
| 2524 | var con, rh1; |
---|
| 2525 | if (this.ns >= 0) { |
---|
| 2526 | var rh1 = Math.sqrt(p.x *p.x + p.y * p.y); |
---|
| 2527 | var con = 1.0; |
---|
| 2528 | } else { |
---|
| 2529 | rh1 = -Math.sqrt(p.x *p. x +p. y * p.y); |
---|
| 2530 | con = -1.0; |
---|
| 2531 | } |
---|
| 2532 | var theta = 0.0; |
---|
| 2533 | if (rh1 != 0.0) theta = Math.atan2(con *p.x, con *p.y); |
---|
| 2534 | var ml = this.g - rh1 /this.a; |
---|
| 2535 | var lat = this.phi3z(ml,this.e0,this.e1,this.e2,this.e3); |
---|
| 2536 | var lon = Proj4js.common.adjust_lon(this.long0 + theta / this.ns); |
---|
| 2537 | |
---|
| 2538 | p.x=lon; |
---|
| 2539 | p.y=lat; |
---|
| 2540 | return p; |
---|
| 2541 | }, |
---|
| 2542 | |
---|
| 2543 | /* Function to compute latitude, phi3, for the inverse of the Equidistant |
---|
| 2544 | Conic projection. |
---|
| 2545 | -----------------------------------------------------------------*/ |
---|
| 2546 | phi3z: function(ml,e0,e1,e2,e3) { |
---|
| 2547 | var phi; |
---|
| 2548 | var dphi; |
---|
| 2549 | |
---|
| 2550 | phi = ml; |
---|
| 2551 | for (var i = 0; i < 15; i++) { |
---|
| 2552 | dphi = (ml + e1 * Math.sin(2.0 * phi) - e2 * Math.sin(4.0 * phi) + e3 * Math.sin(6.0 * phi))/ e0 - phi; |
---|
| 2553 | phi += dphi; |
---|
| 2554 | if (Math.abs(dphi) <= .0000000001) { |
---|
| 2555 | return phi; |
---|
| 2556 | } |
---|
| 2557 | } |
---|
| 2558 | Proj4js.reportError("PHI3Z-CONV:Latitude failed to converge after 15 iterations"); |
---|
| 2559 | return null; |
---|
| 2560 | } |
---|
| 2561 | |
---|
| 2562 | |
---|
| 2563 | }; |
---|
| 2564 | /* ====================================================================== |
---|
| 2565 | projCode/tmerc.js |
---|
| 2566 | ====================================================================== */ |
---|
| 2567 | |
---|
| 2568 | /******************************************************************************* |
---|
| 2569 | NAME TRANSVERSE MERCATOR |
---|
| 2570 | |
---|
| 2571 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 2572 | Northing for the Transverse Mercator projection. The |
---|
| 2573 | longitude and latitude must be in radians. The Easting |
---|
| 2574 | and Northing values will be returned in meters. |
---|
| 2575 | |
---|
| 2576 | ALGORITHM REFERENCES |
---|
| 2577 | |
---|
| 2578 | 1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 2579 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 2580 | State Government Printing Office, Washington D.C., 1987. |
---|
| 2581 | |
---|
| 2582 | 2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections", |
---|
| 2583 | U.S. Geological Survey Professional Paper 1453 , United State Government |
---|
| 2584 | Printing Office, Washington D.C., 1989. |
---|
| 2585 | *******************************************************************************/ |
---|
| 2586 | |
---|
| 2587 | |
---|
| 2588 | /** |
---|
| 2589 | Initialize Transverse Mercator projection |
---|
| 2590 | */ |
---|
| 2591 | |
---|
| 2592 | Proj4js.Proj.tmerc = { |
---|
| 2593 | init : function() { |
---|
| 2594 | this.e0 = Proj4js.common.e0fn(this.es); |
---|
| 2595 | this.e1 = Proj4js.common.e1fn(this.es); |
---|
| 2596 | this.e2 = Proj4js.common.e2fn(this.es); |
---|
| 2597 | this.e3 = Proj4js.common.e3fn(this.es); |
---|
| 2598 | this.ml0 = this.a * Proj4js.common.mlfn(this.e0, this.e1, this.e2, this.e3, this.lat0); |
---|
| 2599 | }, |
---|
| 2600 | |
---|
| 2601 | /** |
---|
| 2602 | Transverse Mercator Forward - long/lat to x/y |
---|
| 2603 | long/lat in radians |
---|
| 2604 | */ |
---|
| 2605 | forward : function(p) { |
---|
| 2606 | var lon = p.x; |
---|
| 2607 | var lat = p.y; |
---|
| 2608 | |
---|
| 2609 | var delta_lon = Proj4js.common.adjust_lon(lon - this.long0); // Delta longitude |
---|
| 2610 | var con; // cone constant |
---|
| 2611 | var x, y; |
---|
| 2612 | var sin_phi=Math.sin(lat); |
---|
| 2613 | var cos_phi=Math.cos(lat); |
---|
| 2614 | |
---|
| 2615 | if (this.sphere) { /* spherical form */ |
---|
| 2616 | var b = cos_phi * Math.sin(delta_lon); |
---|
| 2617 | if ((Math.abs(Math.abs(b) - 1.0)) < .0000000001) { |
---|
| 2618 | Proj4js.reportError("tmerc:forward: Point projects into infinity"); |
---|
| 2619 | return(93); |
---|
| 2620 | } else { |
---|
| 2621 | x = .5 * this.a * this.k0 * Math.log((1.0 + b)/(1.0 - b)); |
---|
| 2622 | con = Math.acos(cos_phi * Math.cos(delta_lon)/Math.sqrt(1.0 - b*b)); |
---|
| 2623 | if (lat < 0) con = - con; |
---|
| 2624 | y = this.a * this.k0 * (con - this.lat0); |
---|
| 2625 | } |
---|
| 2626 | } else { |
---|
| 2627 | var al = cos_phi * delta_lon; |
---|
| 2628 | var als = Math.pow(al,2); |
---|
| 2629 | var c = this.ep2 * Math.pow(cos_phi,2); |
---|
| 2630 | var tq = Math.tan(lat); |
---|
| 2631 | var t = Math.pow(tq,2); |
---|
| 2632 | con = 1.0 - this.es * Math.pow(sin_phi,2); |
---|
| 2633 | var n = this.a / Math.sqrt(con); |
---|
| 2634 | var ml = this.a * Proj4js.common.mlfn(this.e0, this.e1, this.e2, this.e3, lat); |
---|
| 2635 | |
---|
| 2636 | 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; |
---|
| 2637 | 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; |
---|
| 2638 | |
---|
| 2639 | } |
---|
| 2640 | p.x = x; p.y = y; |
---|
| 2641 | return p; |
---|
| 2642 | }, // tmercFwd() |
---|
| 2643 | |
---|
| 2644 | /** |
---|
| 2645 | Transverse Mercator Inverse - x/y to long/lat |
---|
| 2646 | */ |
---|
| 2647 | inverse : function(p) { |
---|
| 2648 | var con, phi; /* temporary angles */ |
---|
| 2649 | var delta_phi; /* difference between longitudes */ |
---|
| 2650 | var i; |
---|
| 2651 | var max_iter = 6; /* maximun number of iterations */ |
---|
| 2652 | var lat, lon; |
---|
| 2653 | |
---|
| 2654 | if (this.sphere) { /* spherical form */ |
---|
| 2655 | var f = Math.exp(p.x/(this.a * this.k0)); |
---|
| 2656 | var g = .5 * (f - 1/f); |
---|
| 2657 | var temp = this.lat0 + p.y/(this.a * this.k0); |
---|
| 2658 | var h = Math.cos(temp); |
---|
| 2659 | con = Math.sqrt((1.0 - h * h)/(1.0 + g * g)); |
---|
| 2660 | lat = Proj4js.common.asinz(con); |
---|
| 2661 | if (temp < 0) |
---|
| 2662 | lat = -lat; |
---|
| 2663 | if ((g == 0) && (h == 0)) { |
---|
| 2664 | lon = this.long0; |
---|
| 2665 | } else { |
---|
| 2666 | lon = Proj4js.common.adjust_lon(Math.atan2(g,h) + this.long0); |
---|
| 2667 | } |
---|
| 2668 | } else { // ellipsoidal form |
---|
| 2669 | var x = p.x - this.x0; |
---|
| 2670 | var y = p.y - this.y0; |
---|
| 2671 | |
---|
| 2672 | con = (this.ml0 + y / this.k0) / this.a; |
---|
| 2673 | phi = con; |
---|
| 2674 | for (i=0;true;i++) { |
---|
| 2675 | 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; |
---|
| 2676 | phi += delta_phi; |
---|
| 2677 | if (Math.abs(delta_phi) <= Proj4js.common.EPSLN) break; |
---|
| 2678 | if (i >= max_iter) { |
---|
| 2679 | Proj4js.reportError("tmerc:inverse: Latitude failed to converge"); |
---|
| 2680 | return(95); |
---|
| 2681 | } |
---|
| 2682 | } // for() |
---|
| 2683 | if (Math.abs(phi) < Proj4js.common.HALF_PI) { |
---|
| 2684 | // sincos(phi, &sin_phi, &cos_phi); |
---|
| 2685 | var sin_phi=Math.sin(phi); |
---|
| 2686 | var cos_phi=Math.cos(phi); |
---|
| 2687 | var tan_phi = Math.tan(phi); |
---|
| 2688 | var c = this.ep2 * Math.pow(cos_phi,2); |
---|
| 2689 | var cs = Math.pow(c,2); |
---|
| 2690 | var t = Math.pow(tan_phi,2); |
---|
| 2691 | var ts = Math.pow(t,2); |
---|
| 2692 | con = 1.0 - this.es * Math.pow(sin_phi,2); |
---|
| 2693 | var n = this.a / Math.sqrt(con); |
---|
| 2694 | var r = n * (1.0 - this.es) / con; |
---|
| 2695 | var d = x / (n * this.k0); |
---|
| 2696 | var ds = Math.pow(d,2); |
---|
| 2697 | 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))); |
---|
| 2698 | 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)); |
---|
| 2699 | } else { |
---|
| 2700 | lat = Proj4js.common.HALF_PI * Proj4js.common.sign(y); |
---|
| 2701 | lon = this.long0; |
---|
| 2702 | } |
---|
| 2703 | } |
---|
| 2704 | p.x = lon; |
---|
| 2705 | p.y = lat; |
---|
| 2706 | return p; |
---|
| 2707 | } // tmercInv() |
---|
| 2708 | }; |
---|
| 2709 | /* ====================================================================== |
---|
| 2710 | defs/GOOGLE.js |
---|
| 2711 | ====================================================================== */ |
---|
| 2712 | |
---|
| 2713 | 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"; |
---|
| 2714 | Proj4js.defs["EPSG:900913"]=Proj4js.defs["GOOGLE"]; |
---|
| 2715 | /* ====================================================================== |
---|
| 2716 | projCode/gstmerc.js |
---|
| 2717 | ====================================================================== */ |
---|
| 2718 | |
---|
| 2719 | Proj4js.Proj.gstmerc = { |
---|
| 2720 | init : function() { |
---|
| 2721 | |
---|
| 2722 | // array of: a, b, lon0, lat0, k0, x0, y0 |
---|
| 2723 | var temp= this.b / this.a; |
---|
| 2724 | this.e= Math.sqrt(1.0 - temp*temp); |
---|
| 2725 | this.lc= this.long0; |
---|
| 2726 | this.rs= Math.sqrt(1.0+this.e*this.e*Math.pow(Math.cos(this.lat0),4.0)/(1.0-this.e*this.e)); |
---|
| 2727 | var sinz= Math.sin(this.lat0); |
---|
| 2728 | var pc= Math.asin(sinz/this.rs); |
---|
| 2729 | var sinzpc= Math.sin(pc); |
---|
| 2730 | this.cp= Proj4js.common.latiso(0.0,pc,sinzpc)-this.rs*Proj4js.common.latiso(this.e,this.lat0,sinz); |
---|
| 2731 | this.n2= this.k0*this.a*Math.sqrt(1.0-this.e*this.e)/(1.0-this.e*this.e*sinz*sinz); |
---|
| 2732 | this.xs= this.x0; |
---|
| 2733 | this.ys= this.y0-this.n2*pc; |
---|
| 2734 | |
---|
| 2735 | if (!this.title) this.title = "Gauss Schreiber transverse mercator"; |
---|
| 2736 | }, |
---|
| 2737 | |
---|
| 2738 | |
---|
| 2739 | // forward equations--mapping lat,long to x,y |
---|
| 2740 | // ----------------------------------------------------------------- |
---|
| 2741 | forward : function(p) { |
---|
| 2742 | |
---|
| 2743 | var lon= p.x; |
---|
| 2744 | var lat= p.y; |
---|
| 2745 | |
---|
| 2746 | var L= this.rs*(lon-this.lc); |
---|
| 2747 | var Ls= this.cp+(this.rs*Proj4js.common.latiso(this.e,lat,Math.sin(lat))); |
---|
| 2748 | var lat1= Math.asin(Math.sin(L)/Proj4js.common.cosh(Ls)); |
---|
| 2749 | var Ls1= Proj4js.common.latiso(0.0,lat1,Math.sin(lat1)); |
---|
| 2750 | p.x= this.xs+(this.n2*Ls1); |
---|
| 2751 | p.y= this.ys+(this.n2*Math.atan(Proj4js.common.sinh(Ls)/Math.cos(L))); |
---|
| 2752 | return p; |
---|
| 2753 | }, |
---|
| 2754 | |
---|
| 2755 | // inverse equations--mapping x,y to lat/long |
---|
| 2756 | // ----------------------------------------------------------------- |
---|
| 2757 | inverse : function(p) { |
---|
| 2758 | |
---|
| 2759 | var x= p.x; |
---|
| 2760 | var y= p.y; |
---|
| 2761 | |
---|
| 2762 | var L= Math.atan(Proj4js.common.sinh((x-this.xs)/this.n2)/Math.cos((y-this.ys)/this.n2)); |
---|
| 2763 | var lat1= Math.asin(Math.sin((y-this.ys)/this.n2)/Proj4js.common.cosh((x-this.xs)/this.n2)); |
---|
| 2764 | var LC= Proj4js.common.latiso(0.0,lat1,Math.sin(lat1)); |
---|
| 2765 | p.x= this.lc+L/this.rs; |
---|
| 2766 | p.y= Proj4js.common.invlatiso(this.e,(LC-this.cp)/this.rs); |
---|
| 2767 | return p; |
---|
| 2768 | } |
---|
| 2769 | |
---|
| 2770 | }; |
---|
| 2771 | /* ====================================================================== |
---|
| 2772 | projCode/ortho.js |
---|
| 2773 | ====================================================================== */ |
---|
| 2774 | |
---|
| 2775 | /******************************************************************************* |
---|
| 2776 | NAME ORTHOGRAPHIC |
---|
| 2777 | |
---|
| 2778 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 2779 | Northing for the Orthographic projection. The |
---|
| 2780 | longitude and latitude must be in radians. The Easting |
---|
| 2781 | and Northing values will be returned in meters. |
---|
| 2782 | |
---|
| 2783 | PROGRAMMER DATE |
---|
| 2784 | ---------- ---- |
---|
| 2785 | T. Mittan Mar, 1993 |
---|
| 2786 | |
---|
| 2787 | ALGORITHM REFERENCES |
---|
| 2788 | |
---|
| 2789 | 1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 2790 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 2791 | State Government Printing Office, Washington D.C., 1987. |
---|
| 2792 | |
---|
| 2793 | 2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections", |
---|
| 2794 | U.S. Geological Survey Professional Paper 1453 , United State Government |
---|
| 2795 | Printing Office, Washington D.C., 1989. |
---|
| 2796 | *******************************************************************************/ |
---|
| 2797 | |
---|
| 2798 | Proj4js.Proj.ortho = { |
---|
| 2799 | |
---|
| 2800 | /* Initialize the Orthographic projection |
---|
| 2801 | -------------------------------------*/ |
---|
| 2802 | init: function(def) { |
---|
| 2803 | //double temp; /* temporary variable */ |
---|
| 2804 | |
---|
| 2805 | /* Place parameters in static storage for common use |
---|
| 2806 | -------------------------------------------------*/; |
---|
| 2807 | this.sin_p14=Math.sin(this.lat0); |
---|
| 2808 | this.cos_p14=Math.cos(this.lat0); |
---|
| 2809 | }, |
---|
| 2810 | |
---|
| 2811 | |
---|
| 2812 | /* Orthographic forward equations--mapping lat,long to x,y |
---|
| 2813 | ---------------------------------------------------*/ |
---|
| 2814 | forward: function(p) { |
---|
| 2815 | var sinphi, cosphi; /* sin and cos value */ |
---|
| 2816 | var dlon; /* delta longitude value */ |
---|
| 2817 | var coslon; /* cos of longitude */ |
---|
| 2818 | var ksp; /* scale factor */ |
---|
| 2819 | var g; |
---|
| 2820 | var lon=p.x; |
---|
| 2821 | var lat=p.y; |
---|
| 2822 | /* Forward equations |
---|
| 2823 | -----------------*/ |
---|
| 2824 | dlon = Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 2825 | |
---|
| 2826 | sinphi=Math.sin(lat); |
---|
| 2827 | cosphi=Math.cos(lat); |
---|
| 2828 | |
---|
| 2829 | coslon = Math.cos(dlon); |
---|
| 2830 | g = this.sin_p14 * sinphi + this.cos_p14 * cosphi * coslon; |
---|
| 2831 | ksp = 1.0; |
---|
| 2832 | if ((g > 0) || (Math.abs(g) <= Proj4js.common.EPSLN)) { |
---|
| 2833 | var x = this.a * ksp * cosphi * Math.sin(dlon); |
---|
| 2834 | var y = this.y0 + this.a * ksp * (this.cos_p14 * sinphi - this.sin_p14 * cosphi * coslon); |
---|
| 2835 | } else { |
---|
| 2836 | Proj4js.reportError("orthoFwdPointError"); |
---|
| 2837 | } |
---|
| 2838 | p.x=x; |
---|
| 2839 | p.y=y; |
---|
| 2840 | return p; |
---|
| 2841 | }, |
---|
| 2842 | |
---|
| 2843 | |
---|
| 2844 | inverse: function(p) { |
---|
| 2845 | var rh; /* height above ellipsoid */ |
---|
| 2846 | var z; /* angle */ |
---|
| 2847 | var sinz,cosz; /* sin of z and cos of z */ |
---|
| 2848 | var temp; |
---|
| 2849 | var con; |
---|
| 2850 | var lon , lat; |
---|
| 2851 | /* Inverse equations |
---|
| 2852 | -----------------*/ |
---|
| 2853 | p.x -= this.x0; |
---|
| 2854 | p.y -= this.y0; |
---|
| 2855 | rh = Math.sqrt(p.x * p.x + p.y * p.y); |
---|
| 2856 | if (rh > this.a + .0000001) { |
---|
| 2857 | Proj4js.reportError("orthoInvDataError"); |
---|
| 2858 | } |
---|
| 2859 | z = Proj4js.common.asinz(rh / this.a); |
---|
| 2860 | |
---|
| 2861 | sinz=Math.sin(z); |
---|
| 2862 | cosz=Math.cos(z); |
---|
| 2863 | |
---|
| 2864 | lon = this.long0; |
---|
| 2865 | if (Math.abs(rh) <= Proj4js.common.EPSLN) { |
---|
| 2866 | lat = this.lat0; |
---|
| 2867 | } |
---|
| 2868 | lat = Proj4js.common.asinz(cosz * this.sin_p14 + (p.y * sinz * this.cos_p14)/rh); |
---|
| 2869 | con = Math.abs(this.lat0) - Proj4js.common.HALF_PI; |
---|
| 2870 | if (Math.abs(con) <= Proj4js.common.EPSLN) { |
---|
| 2871 | if (this.lat0 >= 0) { |
---|
| 2872 | lon = Proj4js.common.adjust_lon(this.long0 + Math.atan2(p.x, -p.y)); |
---|
| 2873 | } else { |
---|
| 2874 | lon = Proj4js.common.adjust_lon(this.long0 -Math.atan2(-p.x, p.y)); |
---|
| 2875 | } |
---|
| 2876 | } |
---|
| 2877 | con = cosz - this.sin_p14 * Math.sin(lat); |
---|
| 2878 | p.x=lon; |
---|
| 2879 | p.y=lat; |
---|
| 2880 | return p; |
---|
| 2881 | } |
---|
| 2882 | }; |
---|
| 2883 | |
---|
| 2884 | |
---|
| 2885 | /* ====================================================================== |
---|
| 2886 | projCode/somerc.js |
---|
| 2887 | ====================================================================== */ |
---|
| 2888 | |
---|
| 2889 | /******************************************************************************* |
---|
| 2890 | NAME SWISS OBLIQUE MERCATOR |
---|
| 2891 | |
---|
| 2892 | PURPOSE: Swiss projection. |
---|
| 2893 | WARNING: X and Y are inverted (weird) in the swiss coordinate system. Not |
---|
| 2894 | here, since we want X to be horizontal and Y vertical. |
---|
| 2895 | |
---|
| 2896 | ALGORITHM REFERENCES |
---|
| 2897 | 1. "Formules et constantes pour le Calcul pour la |
---|
| 2898 | projection cylindrique conforme à axe oblique et pour la transformation entre |
---|
| 2899 | des systÚmes de référence". |
---|
| 2900 | http://www.swisstopo.admin.ch/internet/swisstopo/fr/home/topics/survey/sys/refsys/switzerland.parsysrelated1.31216.downloadList.77004.DownloadFile.tmp/swissprojectionfr.pdf |
---|
| 2901 | |
---|
| 2902 | *******************************************************************************/ |
---|
| 2903 | |
---|
| 2904 | Proj4js.Proj.somerc = { |
---|
| 2905 | |
---|
| 2906 | init: function() { |
---|
| 2907 | var phy0 = this.lat0; |
---|
| 2908 | this.lambda0 = this.long0; |
---|
| 2909 | var sinPhy0 = Math.sin(phy0); |
---|
| 2910 | var semiMajorAxis = this.a; |
---|
| 2911 | var invF = this.rf; |
---|
| 2912 | var flattening = 1 / invF; |
---|
| 2913 | var e2 = 2 * flattening - Math.pow(flattening, 2); |
---|
| 2914 | var e = this.e = Math.sqrt(e2); |
---|
| 2915 | this.R = this.k0 * semiMajorAxis * Math.sqrt(1 - e2) / (1 - e2 * Math.pow(sinPhy0, 2.0)); |
---|
| 2916 | this.alpha = Math.sqrt(1 + e2 / (1 - e2) * Math.pow(Math.cos(phy0), 4.0)); |
---|
| 2917 | this.b0 = Math.asin(sinPhy0 / this.alpha); |
---|
| 2918 | this.K = Math.log(Math.tan(Math.PI / 4.0 + this.b0 / 2.0)) |
---|
| 2919 | - this.alpha |
---|
| 2920 | * Math.log(Math.tan(Math.PI / 4.0 + phy0 / 2.0)) |
---|
| 2921 | + this.alpha |
---|
| 2922 | * e / 2 |
---|
| 2923 | * Math.log((1 + e * sinPhy0) |
---|
| 2924 | / (1 - e * sinPhy0)); |
---|
| 2925 | }, |
---|
| 2926 | |
---|
| 2927 | |
---|
| 2928 | forward: function(p) { |
---|
| 2929 | var Sa1 = Math.log(Math.tan(Math.PI / 4.0 - p.y / 2.0)); |
---|
| 2930 | var Sa2 = this.e / 2.0 |
---|
| 2931 | * Math.log((1 + this.e * Math.sin(p.y)) |
---|
| 2932 | / (1 - this.e * Math.sin(p.y))); |
---|
| 2933 | var S = -this.alpha * (Sa1 + Sa2) + this.K; |
---|
| 2934 | |
---|
| 2935 | // spheric latitude |
---|
| 2936 | var b = 2.0 * (Math.atan(Math.exp(S)) - Math.PI / 4.0); |
---|
| 2937 | |
---|
| 2938 | // spheric longitude |
---|
| 2939 | var I = this.alpha * (p.x - this.lambda0); |
---|
| 2940 | |
---|
| 2941 | // psoeudo equatorial rotation |
---|
| 2942 | var rotI = Math.atan(Math.sin(I) |
---|
| 2943 | / (Math.sin(this.b0) * Math.tan(b) + |
---|
| 2944 | Math.cos(this.b0) * Math.cos(I))); |
---|
| 2945 | |
---|
| 2946 | var rotB = Math.asin(Math.cos(this.b0) * Math.sin(b) - |
---|
| 2947 | Math.sin(this.b0) * Math.cos(b) * Math.cos(I)); |
---|
| 2948 | |
---|
| 2949 | p.y = this.R / 2.0 |
---|
| 2950 | * Math.log((1 + Math.sin(rotB)) / (1 - Math.sin(rotB))) |
---|
| 2951 | + this.y0; |
---|
| 2952 | p.x = this.R * rotI + this.x0; |
---|
| 2953 | return p; |
---|
| 2954 | }, |
---|
| 2955 | |
---|
| 2956 | inverse: function(p) { |
---|
| 2957 | var Y = p.x - this.x0; |
---|
| 2958 | var X = p.y - this.y0; |
---|
| 2959 | |
---|
| 2960 | var rotI = Y / this.R; |
---|
| 2961 | var rotB = 2 * (Math.atan(Math.exp(X / this.R)) - Math.PI / 4.0); |
---|
| 2962 | |
---|
| 2963 | var b = Math.asin(Math.cos(this.b0) * Math.sin(rotB) |
---|
| 2964 | + Math.sin(this.b0) * Math.cos(rotB) * Math.cos(rotI)); |
---|
| 2965 | var I = Math.atan(Math.sin(rotI) |
---|
| 2966 | / (Math.cos(this.b0) * Math.cos(rotI) - Math.sin(this.b0) |
---|
| 2967 | * Math.tan(rotB))); |
---|
| 2968 | |
---|
| 2969 | var lambda = this.lambda0 + I / this.alpha; |
---|
| 2970 | |
---|
| 2971 | var S = 0.0; |
---|
| 2972 | var phy = b; |
---|
| 2973 | var prevPhy = -1000.0; |
---|
| 2974 | var iteration = 0; |
---|
| 2975 | while (Math.abs(phy - prevPhy) > 0.0000001) |
---|
| 2976 | { |
---|
| 2977 | if (++iteration > 20) |
---|
| 2978 | { |
---|
| 2979 | Proj4js.reportError("omercFwdInfinity"); |
---|
| 2980 | return; |
---|
| 2981 | } |
---|
| 2982 | //S = Math.log(Math.tan(Math.PI / 4.0 + phy / 2.0)); |
---|
| 2983 | S = 1.0 |
---|
| 2984 | / this.alpha |
---|
| 2985 | * (Math.log(Math.tan(Math.PI / 4.0 + b / 2.0)) - this.K) |
---|
| 2986 | + this.e |
---|
| 2987 | * Math.log(Math.tan(Math.PI / 4.0 |
---|
| 2988 | + Math.asin(this.e * Math.sin(phy)) |
---|
| 2989 | / 2.0)); |
---|
| 2990 | prevPhy = phy; |
---|
| 2991 | phy = 2.0 * Math.atan(Math.exp(S)) - Math.PI / 2.0; |
---|
| 2992 | } |
---|
| 2993 | |
---|
| 2994 | p.x = lambda; |
---|
| 2995 | p.y = phy; |
---|
| 2996 | return p; |
---|
| 2997 | } |
---|
| 2998 | }; |
---|
| 2999 | /* ====================================================================== |
---|
| 3000 | projCode/stere.js |
---|
| 3001 | ====================================================================== */ |
---|
| 3002 | |
---|
| 3003 | |
---|
| 3004 | // Initialize the Stereographic projection |
---|
| 3005 | |
---|
| 3006 | Proj4js.Proj.stere = { |
---|
| 3007 | ssfn_: function(phit, sinphi, eccen) { |
---|
| 3008 | sinphi *= eccen; |
---|
| 3009 | return (Math.tan (.5 * (Proj4js.common.HALF_PI + phit)) * Math.pow((1. - sinphi) / (1. + sinphi), .5 * eccen)); |
---|
| 3010 | }, |
---|
| 3011 | TOL: 1.e-8, |
---|
| 3012 | NITER: 8, |
---|
| 3013 | CONV: 1.e-10, |
---|
| 3014 | S_POLE: 0, |
---|
| 3015 | N_POLE: 1, |
---|
| 3016 | OBLIQ: 2, |
---|
| 3017 | EQUIT: 3, |
---|
| 3018 | |
---|
| 3019 | init : function() { |
---|
| 3020 | this.phits = this.lat_ts ? this.lat_ts : Proj4js.common.HALF_PI; |
---|
| 3021 | var t = Math.abs(this.lat0); |
---|
| 3022 | if ((Math.abs(t) - Proj4js.common.HALF_PI) < Proj4js.common.EPSLN) { |
---|
| 3023 | this.mode = this.lat0 < 0. ? this.S_POLE : this.N_POLE; |
---|
| 3024 | } else { |
---|
| 3025 | this.mode = t > Proj4js.common.EPSLN ? this.OBLIQ : this.EQUIT; |
---|
| 3026 | } |
---|
| 3027 | this.phits = Math.abs(this.phits); |
---|
| 3028 | if (this.es) { |
---|
| 3029 | var X; |
---|
| 3030 | |
---|
| 3031 | switch (this.mode) { |
---|
| 3032 | case this.N_POLE: |
---|
| 3033 | case this.S_POLE: |
---|
| 3034 | if (Math.abs(this.phits - Proj4js.common.HALF_PI) < Proj4js.common.EPSLN) { |
---|
| 3035 | this.akm1 = 2. * this.k0 / Math.sqrt(Math.pow(1+this.e,1+this.e)*Math.pow(1-this.e,1-this.e)); |
---|
| 3036 | } else { |
---|
| 3037 | t = Math.sin(this.phits); |
---|
| 3038 | this.akm1 = Math.cos(this.phits) / Proj4js.common.tsfnz(this.e, this.phits, t); |
---|
| 3039 | t *= this.e; |
---|
| 3040 | this.akm1 /= Math.sqrt(1. - t * t); |
---|
| 3041 | } |
---|
| 3042 | break; |
---|
| 3043 | case this.EQUIT: |
---|
| 3044 | this.akm1 = 2. * this.k0; |
---|
| 3045 | break; |
---|
| 3046 | case this.OBLIQ: |
---|
| 3047 | t = Math.sin(this.lat0); |
---|
| 3048 | X = 2. * Math.atan(this.ssfn_(this.lat0, t, this.e)) - Proj4js.common.HALF_PI; |
---|
| 3049 | t *= this.e; |
---|
| 3050 | this.akm1 = 2. * this.k0 * Math.cos(this.lat0) / Math.sqrt(1. - t * t); |
---|
| 3051 | this.sinX1 = Math.sin(X); |
---|
| 3052 | this.cosX1 = Math.cos(X); |
---|
| 3053 | break; |
---|
| 3054 | } |
---|
| 3055 | } else { |
---|
| 3056 | switch (this.mode) { |
---|
| 3057 | case this.OBLIQ: |
---|
| 3058 | this.sinph0 = Math.sin(this.lat0); |
---|
| 3059 | this.cosph0 = Math.cos(this.lat0); |
---|
| 3060 | case this.EQUIT: |
---|
| 3061 | this.akm1 = 2. * this.k0; |
---|
| 3062 | break; |
---|
| 3063 | case this.S_POLE: |
---|
| 3064 | case this.N_POLE: |
---|
| 3065 | this.akm1 = Math.abs(this.phits - Proj4js.common.HALF_PI) >= Proj4js.common.EPSLN ? |
---|
| 3066 | Math.cos(this.phits) / Math.tan(Proj4js.common.FORTPI - .5 * this.phits) : |
---|
| 3067 | 2. * this.k0 ; |
---|
| 3068 | break; |
---|
| 3069 | } |
---|
| 3070 | } |
---|
| 3071 | }, |
---|
| 3072 | |
---|
| 3073 | // Stereographic forward equations--mapping lat,long to x,y |
---|
| 3074 | forward: function(p) { |
---|
| 3075 | var lon = p.x; |
---|
| 3076 | lon = Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 3077 | var lat = p.y; |
---|
| 3078 | var x, y; |
---|
| 3079 | |
---|
| 3080 | if (this.sphere) { |
---|
| 3081 | var sinphi, cosphi, coslam, sinlam; |
---|
| 3082 | |
---|
| 3083 | sinphi = Math.sin(lat); |
---|
| 3084 | cosphi = Math.cos(lat); |
---|
| 3085 | coslam = Math.cos(lon); |
---|
| 3086 | sinlam = Math.sin(lon); |
---|
| 3087 | switch (this.mode) { |
---|
| 3088 | case this.EQUIT: |
---|
| 3089 | y = 1. + cosphi * coslam; |
---|
| 3090 | if (y <= Proj4js.common.EPSLN) { |
---|
| 3091 | F_ERROR; |
---|
| 3092 | } |
---|
| 3093 | y = this.akm1 / y; |
---|
| 3094 | x = y * cosphi * sinlam; |
---|
| 3095 | y *= sinphi; |
---|
| 3096 | break; |
---|
| 3097 | case this.OBLIQ: |
---|
| 3098 | y = 1. + this.sinph0 * sinphi + this.cosph0 * cosphi * coslam; |
---|
| 3099 | if (y <= Proj4js.common.EPSLN) { |
---|
| 3100 | F_ERROR; |
---|
| 3101 | } |
---|
| 3102 | y = this.akm1 / y; |
---|
| 3103 | x = y * cosphi * sinlam; |
---|
| 3104 | y *= this.cosph0 * sinphi - this.sinph0 * cosphi * coslam; |
---|
| 3105 | break; |
---|
| 3106 | case this.N_POLE: |
---|
| 3107 | coslam = -coslam; |
---|
| 3108 | lat = -lat; |
---|
| 3109 | //Note no break here so it conitnues through S_POLE |
---|
| 3110 | case this.S_POLE: |
---|
| 3111 | if (Math.abs(lat - Proj4js.common.HALF_PI) < this.TOL) { |
---|
| 3112 | F_ERROR; |
---|
| 3113 | } |
---|
| 3114 | y = this.akm1 * Math.tan(Proj4js.common.FORTPI + .5 * lat); |
---|
| 3115 | x = sinlam * y; |
---|
| 3116 | y *= coslam; |
---|
| 3117 | break; |
---|
| 3118 | } |
---|
| 3119 | } else { |
---|
| 3120 | coslam = Math.cos(lon); |
---|
| 3121 | sinlam = Math.sin(lon); |
---|
| 3122 | sinphi = Math.sin(lat); |
---|
| 3123 | if (this.mode == this.OBLIQ || this.mode == this.EQUIT) { |
---|
| 3124 | X = 2. * Math.atan(this.ssfn_(lat, sinphi, this.e)); |
---|
| 3125 | sinX = Math.sin(X - Proj4js.common.HALF_PI); |
---|
| 3126 | cosX = Math.cos(X); |
---|
| 3127 | } |
---|
| 3128 | switch (this.mode) { |
---|
| 3129 | case this.OBLIQ: |
---|
| 3130 | A = this.akm1 / (this.cosX1 * (1. + this.sinX1 * sinX + this.cosX1 * cosX * coslam)); |
---|
| 3131 | y = A * (this.cosX1 * sinX - this.sinX1 * cosX * coslam); |
---|
| 3132 | x = A * cosX; |
---|
| 3133 | break; |
---|
| 3134 | case this.EQUIT: |
---|
| 3135 | A = 2. * this.akm1 / (1. + cosX * coslam); |
---|
| 3136 | y = A * sinX; |
---|
| 3137 | x = A * cosX; |
---|
| 3138 | break; |
---|
| 3139 | case this.S_POLE: |
---|
| 3140 | lat = -lat; |
---|
| 3141 | coslam = - coslam; |
---|
| 3142 | sinphi = -sinphi; |
---|
| 3143 | case this.N_POLE: |
---|
| 3144 | x = this.akm1 * Proj4js.common.tsfnz(this.e, lat, sinphi); |
---|
| 3145 | y = - x * coslam; |
---|
| 3146 | break; |
---|
| 3147 | } |
---|
| 3148 | x = x * sinlam; |
---|
| 3149 | } |
---|
| 3150 | p.x = x*this.a + this.x0; |
---|
| 3151 | p.y = y*this.a + this.y0; |
---|
| 3152 | return p; |
---|
| 3153 | }, |
---|
| 3154 | |
---|
| 3155 | |
---|
| 3156 | //* Stereographic inverse equations--mapping x,y to lat/long |
---|
| 3157 | inverse: function(p) { |
---|
| 3158 | var x = (p.x - this.x0)/this.a; /* descale and de-offset */ |
---|
| 3159 | var y = (p.y - this.y0)/this.a; |
---|
| 3160 | var lon, lat; |
---|
| 3161 | |
---|
| 3162 | var cosphi, sinphi, tp=0.0, phi_l=0.0, rho, halfe=0.0, pi2=0.0; |
---|
| 3163 | var i; |
---|
| 3164 | |
---|
| 3165 | if (this.sphere) { |
---|
| 3166 | var c, rh, sinc, cosc; |
---|
| 3167 | |
---|
| 3168 | rh = Math.sqrt(x*x + y*y); |
---|
| 3169 | c = 2. * Math.atan(rh / this.akm1); |
---|
| 3170 | sinc = Math.sin(c); |
---|
| 3171 | cosc = Math.cos(c); |
---|
| 3172 | lon = 0.; |
---|
| 3173 | switch (this.mode) { |
---|
| 3174 | case this.EQUIT: |
---|
| 3175 | if (Math.abs(rh) <= Proj4js.common.EPSLN) { |
---|
| 3176 | lat = 0.; |
---|
| 3177 | } else { |
---|
| 3178 | lat = Math.asin(y * sinc / rh); |
---|
| 3179 | } |
---|
| 3180 | if (cosc != 0. || x != 0.) lon = Math.atan2(x * sinc, cosc * rh); |
---|
| 3181 | break; |
---|
| 3182 | case this.OBLIQ: |
---|
| 3183 | if (Math.abs(rh) <= Proj4js.common.EPSLN) { |
---|
| 3184 | lat = this.phi0; |
---|
| 3185 | } else { |
---|
| 3186 | lat = Math.asin(cosc * sinph0 + y * sinc * cosph0 / rh); |
---|
| 3187 | } |
---|
| 3188 | c = cosc - sinph0 * Math.sin(lat); |
---|
| 3189 | if (c != 0. || x != 0.) { |
---|
| 3190 | lon = Math.atan2(x * sinc * cosph0, c * rh); |
---|
| 3191 | } |
---|
| 3192 | break; |
---|
| 3193 | case this.N_POLE: |
---|
| 3194 | y = -y; |
---|
| 3195 | case this.S_POLE: |
---|
| 3196 | if (Math.abs(rh) <= Proj4js.common.EPSLN) { |
---|
| 3197 | lat = this.phi0; |
---|
| 3198 | } else { |
---|
| 3199 | lat = Math.asin(this.mode == this.S_POLE ? -cosc : cosc); |
---|
| 3200 | } |
---|
| 3201 | lon = (x == 0. && y == 0.) ? 0. : Math.atan2(x, y); |
---|
| 3202 | break; |
---|
| 3203 | } |
---|
| 3204 | p.x = Proj4js.common.adjust_lon(lon + this.long0); |
---|
| 3205 | p.y = lat; |
---|
| 3206 | } else { |
---|
| 3207 | rho = Math.sqrt(x*x + y*y); |
---|
| 3208 | switch (this.mode) { |
---|
| 3209 | case this.OBLIQ: |
---|
| 3210 | case this.EQUIT: |
---|
| 3211 | tp = 2. * Math.atan2(rho * this.cosX1 , this.akm1); |
---|
| 3212 | cosphi = Math.cos(tp); |
---|
| 3213 | sinphi = Math.sin(tp); |
---|
| 3214 | if( rho == 0.0 ) { |
---|
| 3215 | phi_l = Math.asin(cosphi * this.sinX1); |
---|
| 3216 | } else { |
---|
| 3217 | phi_l = Math.asin(cosphi * this.sinX1 + (y * sinphi * this.cosX1 / rho)); |
---|
| 3218 | } |
---|
| 3219 | |
---|
| 3220 | tp = Math.tan(.5 * (Proj4js.common.HALF_PI + phi_l)); |
---|
| 3221 | x *= sinphi; |
---|
| 3222 | y = rho * this.cosX1 * cosphi - y * this.sinX1* sinphi; |
---|
| 3223 | pi2 = Proj4js.common.HALF_PI; |
---|
| 3224 | halfe = .5 * this.e; |
---|
| 3225 | break; |
---|
| 3226 | case this.N_POLE: |
---|
| 3227 | y = -y; |
---|
| 3228 | case this.S_POLE: |
---|
| 3229 | tp = - rho / this.akm1; |
---|
| 3230 | phi_l = Proj4js.common.HALF_PI - 2. * Math.atan(tp); |
---|
| 3231 | pi2 = -Proj4js.common.HALF_PI; |
---|
| 3232 | halfe = -.5 * this.e; |
---|
| 3233 | break; |
---|
| 3234 | } |
---|
| 3235 | for (i = this.NITER; i--; phi_l = lat) { //check this |
---|
| 3236 | sinphi = this.e * Math.sin(phi_l); |
---|
| 3237 | lat = 2. * Math.atan(tp * Math.pow((1.+sinphi)/(1.-sinphi), halfe)) - pi2; |
---|
| 3238 | if (Math.abs(phi_l - lat) < this.CONV) { |
---|
| 3239 | if (this.mode == this.S_POLE) lat = -lat; |
---|
| 3240 | lon = (x == 0. && y == 0.) ? 0. : Math.atan2(x, y); |
---|
| 3241 | p.x = Proj4js.common.adjust_lon(lon + this.long0); |
---|
| 3242 | p.y = lat; |
---|
| 3243 | return p; |
---|
| 3244 | } |
---|
| 3245 | } |
---|
| 3246 | } |
---|
| 3247 | } |
---|
| 3248 | }; |
---|
| 3249 | /* ====================================================================== |
---|
| 3250 | projCode/nzmg.js |
---|
| 3251 | ====================================================================== */ |
---|
| 3252 | |
---|
| 3253 | /******************************************************************************* |
---|
| 3254 | NAME NEW ZEALAND MAP GRID |
---|
| 3255 | |
---|
| 3256 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 3257 | Northing for the New Zealand Map Grid projection. The |
---|
| 3258 | longitude and latitude must be in radians. The Easting |
---|
| 3259 | and Northing values will be returned in meters. |
---|
| 3260 | |
---|
| 3261 | |
---|
| 3262 | ALGORITHM REFERENCES |
---|
| 3263 | |
---|
| 3264 | 1. Department of Land and Survey Technical Circular 1973/32 |
---|
| 3265 | http://www.linz.govt.nz/docs/miscellaneous/nz-map-definition.pdf |
---|
| 3266 | |
---|
| 3267 | 2. OSG Technical Report 4.1 |
---|
| 3268 | http://www.linz.govt.nz/docs/miscellaneous/nzmg.pdf |
---|
| 3269 | |
---|
| 3270 | |
---|
| 3271 | IMPLEMENTATION NOTES |
---|
| 3272 | |
---|
| 3273 | The two references use different symbols for the calculated values. This |
---|
| 3274 | implementation uses the variable names similar to the symbols in reference [1]. |
---|
| 3275 | |
---|
| 3276 | The alogrithm uses different units for delta latitude and delta longitude. |
---|
| 3277 | The delta latitude is assumed to be in units of seconds of arc x 10^-5. |
---|
| 3278 | The delta longitude is the usual radians. Look out for these conversions. |
---|
| 3279 | |
---|
| 3280 | The algorithm is described using complex arithmetic. There were three |
---|
| 3281 | options: |
---|
| 3282 | * find and use a Javascript library for complex arithmetic |
---|
| 3283 | * write my own complex library |
---|
| 3284 | * expand the complex arithmetic by hand to simple arithmetic |
---|
| 3285 | |
---|
| 3286 | This implementation has expanded the complex multiplication operations |
---|
| 3287 | into parallel simple arithmetic operations for the real and imaginary parts. |
---|
| 3288 | The imaginary part is way over to the right of the display; this probably |
---|
| 3289 | violates every coding standard in the world, but, to me, it makes it much |
---|
| 3290 | more obvious what is going on. |
---|
| 3291 | |
---|
| 3292 | The following complex operations are used: |
---|
| 3293 | - addition |
---|
| 3294 | - multiplication |
---|
| 3295 | - division |
---|
| 3296 | - complex number raised to integer power |
---|
| 3297 | - summation |
---|
| 3298 | |
---|
| 3299 | A summary of complex arithmetic operations: |
---|
| 3300 | (from http://en.wikipedia.org/wiki/Complex_arithmetic) |
---|
| 3301 | addition: (a + bi) + (c + di) = (a + c) + (b + d)i |
---|
| 3302 | subtraction: (a + bi) - (c + di) = (a - c) + (b - d)i |
---|
| 3303 | multiplication: (a + bi) x (c + di) = (ac - bd) + (bc + ad)i |
---|
| 3304 | division: (a + bi) / (c + di) = [(ac + bd)/(cc + dd)] + [(bc - ad)/(cc + dd)]i |
---|
| 3305 | |
---|
| 3306 | The algorithm needs to calculate summations of simple and complex numbers. This is |
---|
| 3307 | implemented using a for-loop, pre-loading the summed value to zero. |
---|
| 3308 | |
---|
| 3309 | The algorithm needs to calculate theta^2, theta^3, etc while doing a summation. |
---|
| 3310 | There are three possible implementations: |
---|
| 3311 | - use Math.pow in the summation loop - except for complex numbers |
---|
| 3312 | - precalculate the values before running the loop |
---|
| 3313 | - calculate theta^n = theta^(n-1) * theta during the loop |
---|
| 3314 | This implementation uses the third option for both real and complex arithmetic. |
---|
| 3315 | |
---|
| 3316 | For example |
---|
| 3317 | psi_n = 1; |
---|
| 3318 | sum = 0; |
---|
| 3319 | for (n = 1; n <=6; n++) { |
---|
| 3320 | psi_n1 = psi_n * psi; // calculate psi^(n+1) |
---|
| 3321 | psi_n = psi_n1; |
---|
| 3322 | sum = sum + A[n] * psi_n; |
---|
| 3323 | } |
---|
| 3324 | |
---|
| 3325 | |
---|
| 3326 | TEST VECTORS |
---|
| 3327 | |
---|
| 3328 | NZMG E, N: 2487100.638 6751049.719 metres |
---|
| 3329 | NZGD49 long, lat: 172.739194 -34.444066 degrees |
---|
| 3330 | |
---|
| 3331 | NZMG E, N: 2486533.395 6077263.661 metres |
---|
| 3332 | NZGD49 long, lat: 172.723106 -40.512409 degrees |
---|
| 3333 | |
---|
| 3334 | NZMG E, N: 2216746.425 5388508.765 metres |
---|
| 3335 | NZGD49 long, lat: 169.172062 -46.651295 degrees |
---|
| 3336 | |
---|
| 3337 | Note that these test vectors convert from NZMG metres to lat/long referenced |
---|
| 3338 | to NZGD49, not the more usual WGS84. The difference is about 70m N/S and about |
---|
| 3339 | 10m E/W. |
---|
| 3340 | |
---|
| 3341 | These test vectors are provided in reference [1]. Many more test |
---|
| 3342 | vectors are available in |
---|
| 3343 | http://www.linz.govt.nz/docs/topography/topographicdata/placenamesdatabase/nznamesmar08.zip |
---|
| 3344 | which is a catalog of names on the 260-series maps. |
---|
| 3345 | |
---|
| 3346 | |
---|
| 3347 | EPSG CODES |
---|
| 3348 | |
---|
| 3349 | NZMG EPSG:27200 |
---|
| 3350 | NZGD49 EPSG:4272 |
---|
| 3351 | |
---|
| 3352 | http://spatialreference.org/ defines these as |
---|
| 3353 | Proj4js.defs["EPSG:4272"] = "+proj=longlat +ellps=intl +datum=nzgd49 +no_defs "; |
---|
| 3354 | 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 "; |
---|
| 3355 | |
---|
| 3356 | |
---|
| 3357 | LICENSE |
---|
| 3358 | Copyright: Stephen Irons 2008 |
---|
| 3359 | Released under terms of the LGPL as per: http://www.gnu.org/copyleft/lesser.html |
---|
| 3360 | |
---|
| 3361 | *******************************************************************************/ |
---|
| 3362 | |
---|
| 3363 | |
---|
| 3364 | /** |
---|
| 3365 | Initialize New Zealand Map Grip projection |
---|
| 3366 | */ |
---|
| 3367 | |
---|
| 3368 | Proj4js.Proj.nzmg = { |
---|
| 3369 | |
---|
| 3370 | /** |
---|
| 3371 | * iterations: Number of iterations to refine inverse transform. |
---|
| 3372 | * 0 -> km accuracy |
---|
| 3373 | * 1 -> m accuracy -- suitable for most mapping applications |
---|
| 3374 | * 2 -> mm accuracy |
---|
| 3375 | */ |
---|
| 3376 | iterations: 1, |
---|
| 3377 | |
---|
| 3378 | init : function() { |
---|
| 3379 | this.A = new Array(); |
---|
| 3380 | this.A[1] = +0.6399175073; |
---|
| 3381 | this.A[2] = -0.1358797613; |
---|
| 3382 | this.A[3] = +0.063294409; |
---|
| 3383 | this.A[4] = -0.02526853; |
---|
| 3384 | this.A[5] = +0.0117879; |
---|
| 3385 | this.A[6] = -0.0055161; |
---|
| 3386 | this.A[7] = +0.0026906; |
---|
| 3387 | this.A[8] = -0.001333; |
---|
| 3388 | this.A[9] = +0.00067; |
---|
| 3389 | this.A[10] = -0.00034; |
---|
| 3390 | |
---|
| 3391 | this.B_re = new Array(); this.B_im = new Array(); |
---|
| 3392 | this.B_re[1] = +0.7557853228; this.B_im[1] = 0.0; |
---|
| 3393 | this.B_re[2] = +0.249204646; this.B_im[2] = +0.003371507; |
---|
| 3394 | this.B_re[3] = -0.001541739; this.B_im[3] = +0.041058560; |
---|
| 3395 | this.B_re[4] = -0.10162907; this.B_im[4] = +0.01727609; |
---|
| 3396 | this.B_re[5] = -0.26623489; this.B_im[5] = -0.36249218; |
---|
| 3397 | this.B_re[6] = -0.6870983; this.B_im[6] = -1.1651967; |
---|
| 3398 | |
---|
| 3399 | this.C_re = new Array(); this.C_im = new Array(); |
---|
| 3400 | this.C_re[1] = +1.3231270439; this.C_im[1] = 0.0; |
---|
| 3401 | this.C_re[2] = -0.577245789; this.C_im[2] = -0.007809598; |
---|
| 3402 | this.C_re[3] = +0.508307513; this.C_im[3] = -0.112208952; |
---|
| 3403 | this.C_re[4] = -0.15094762; this.C_im[4] = +0.18200602; |
---|
| 3404 | this.C_re[5] = +1.01418179; this.C_im[5] = +1.64497696; |
---|
| 3405 | this.C_re[6] = +1.9660549; this.C_im[6] = +2.5127645; |
---|
| 3406 | |
---|
| 3407 | this.D = new Array(); |
---|
| 3408 | this.D[1] = +1.5627014243; |
---|
| 3409 | this.D[2] = +0.5185406398; |
---|
| 3410 | this.D[3] = -0.03333098; |
---|
| 3411 | this.D[4] = -0.1052906; |
---|
| 3412 | this.D[5] = -0.0368594; |
---|
| 3413 | this.D[6] = +0.007317; |
---|
| 3414 | this.D[7] = +0.01220; |
---|
| 3415 | this.D[8] = +0.00394; |
---|
| 3416 | this.D[9] = -0.0013; |
---|
| 3417 | }, |
---|
| 3418 | |
---|
| 3419 | /** |
---|
| 3420 | New Zealand Map Grid Forward - long/lat to x/y |
---|
| 3421 | long/lat in radians |
---|
| 3422 | */ |
---|
| 3423 | forward : function(p) { |
---|
| 3424 | var lon = p.x; |
---|
| 3425 | var lat = p.y; |
---|
| 3426 | |
---|
| 3427 | var delta_lat = lat - this.lat0; |
---|
| 3428 | var delta_lon = lon - this.long0; |
---|
| 3429 | |
---|
| 3430 | // 1. Calculate d_phi and d_psi ... // and d_lambda |
---|
| 3431 | // For this algorithm, delta_latitude is in seconds of arc x 10-5, so we need to scale to those units. Longitude is radians. |
---|
| 3432 | var d_phi = delta_lat / Proj4js.common.SEC_TO_RAD * 1E-5; var d_lambda = delta_lon; |
---|
| 3433 | var d_phi_n = 1; // d_phi^0 |
---|
| 3434 | |
---|
| 3435 | var d_psi = 0; |
---|
| 3436 | for (n = 1; n <= 10; n++) { |
---|
| 3437 | d_phi_n = d_phi_n * d_phi; |
---|
| 3438 | d_psi = d_psi + this.A[n] * d_phi_n; |
---|
| 3439 | } |
---|
| 3440 | |
---|
| 3441 | // 2. Calculate theta |
---|
| 3442 | var th_re = d_psi; var th_im = d_lambda; |
---|
| 3443 | |
---|
| 3444 | // 3. Calculate z |
---|
| 3445 | var th_n_re = 1; var th_n_im = 0; // theta^0 |
---|
| 3446 | var th_n_re1; var th_n_im1; |
---|
| 3447 | |
---|
| 3448 | var z_re = 0; var z_im = 0; |
---|
| 3449 | for (n = 1; n <= 6; n++) { |
---|
| 3450 | 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; |
---|
| 3451 | th_n_re = th_n_re1; th_n_im = th_n_im1; |
---|
| 3452 | 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; |
---|
| 3453 | } |
---|
| 3454 | |
---|
| 3455 | // 4. Calculate easting and northing |
---|
| 3456 | x = (z_im * this.a) + this.x0; |
---|
| 3457 | y = (z_re * this.a) + this.y0; |
---|
| 3458 | |
---|
| 3459 | p.x = x; p.y = y; |
---|
| 3460 | |
---|
| 3461 | return p; |
---|
| 3462 | }, |
---|
| 3463 | |
---|
| 3464 | |
---|
| 3465 | /** |
---|
| 3466 | New Zealand Map Grid Inverse - x/y to long/lat |
---|
| 3467 | */ |
---|
| 3468 | inverse : function(p) { |
---|
| 3469 | |
---|
| 3470 | var x = p.x; |
---|
| 3471 | var y = p.y; |
---|
| 3472 | |
---|
| 3473 | var delta_x = x - this.x0; |
---|
| 3474 | var delta_y = y - this.y0; |
---|
| 3475 | |
---|
| 3476 | // 1. Calculate z |
---|
| 3477 | var z_re = delta_y / this.a; var z_im = delta_x / this.a; |
---|
| 3478 | |
---|
| 3479 | // 2a. Calculate theta - first approximation gives km accuracy |
---|
| 3480 | var z_n_re = 1; var z_n_im = 0; // z^0 |
---|
| 3481 | var z_n_re1; var z_n_im1; |
---|
| 3482 | |
---|
| 3483 | var th_re = 0; var th_im = 0; |
---|
| 3484 | for (n = 1; n <= 6; n++) { |
---|
| 3485 | 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; |
---|
| 3486 | z_n_re = z_n_re1; z_n_im = z_n_im1; |
---|
| 3487 | 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; |
---|
| 3488 | } |
---|
| 3489 | |
---|
| 3490 | // 2b. Iterate to refine the accuracy of the calculation |
---|
| 3491 | // 0 iterations gives km accuracy |
---|
| 3492 | // 1 iteration gives m accuracy -- good enough for most mapping applications |
---|
| 3493 | // 2 iterations bives mm accuracy |
---|
| 3494 | for (i = 0; i < this.iterations; i++) { |
---|
| 3495 | var th_n_re = th_re; var th_n_im = th_im; |
---|
| 3496 | var th_n_re1; var th_n_im1; |
---|
| 3497 | |
---|
| 3498 | var num_re = z_re; var num_im = z_im; |
---|
| 3499 | for (n = 2; n <= 6; n++) { |
---|
| 3500 | 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; |
---|
| 3501 | th_n_re = th_n_re1; th_n_im = th_n_im1; |
---|
| 3502 | 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); |
---|
| 3503 | } |
---|
| 3504 | |
---|
| 3505 | th_n_re = 1; th_n_im = 0; |
---|
| 3506 | var den_re = this.B_re[1]; var den_im = this.B_im[1]; |
---|
| 3507 | for (n = 2; n <= 6; n++) { |
---|
| 3508 | 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; |
---|
| 3509 | th_n_re = th_n_re1; th_n_im = th_n_im1; |
---|
| 3510 | 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); |
---|
| 3511 | } |
---|
| 3512 | |
---|
| 3513 | // Complex division |
---|
| 3514 | var den2 = den_re*den_re + den_im*den_im; |
---|
| 3515 | th_re = (num_re*den_re + num_im*den_im) / den2; th_im = (num_im*den_re - num_re*den_im) / den2; |
---|
| 3516 | } |
---|
| 3517 | |
---|
| 3518 | // 3. Calculate d_phi ... // and d_lambda |
---|
| 3519 | var d_psi = th_re; var d_lambda = th_im; |
---|
| 3520 | var d_psi_n = 1; // d_psi^0 |
---|
| 3521 | |
---|
| 3522 | var d_phi = 0; |
---|
| 3523 | for (n = 1; n <= 9; n++) { |
---|
| 3524 | d_psi_n = d_psi_n * d_psi; |
---|
| 3525 | d_phi = d_phi + this.D[n] * d_psi_n; |
---|
| 3526 | } |
---|
| 3527 | |
---|
| 3528 | // 4. Calculate latitude and longitude |
---|
| 3529 | // d_phi is calcuated in second of arc * 10^-5, so we need to scale back to radians. d_lambda is in radians. |
---|
| 3530 | var lat = this.lat0 + (d_phi * Proj4js.common.SEC_TO_RAD * 1E5); |
---|
| 3531 | var lon = this.long0 + d_lambda; |
---|
| 3532 | |
---|
| 3533 | p.x = lon; |
---|
| 3534 | p.y = lat; |
---|
| 3535 | |
---|
| 3536 | return p; |
---|
| 3537 | } |
---|
| 3538 | }; |
---|
| 3539 | /* ====================================================================== |
---|
| 3540 | projCode/mill.js |
---|
| 3541 | ====================================================================== */ |
---|
| 3542 | |
---|
| 3543 | /******************************************************************************* |
---|
| 3544 | NAME MILLER CYLINDRICAL |
---|
| 3545 | |
---|
| 3546 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 3547 | Northing for the Miller Cylindrical projection. The |
---|
| 3548 | longitude and latitude must be in radians. The Easting |
---|
| 3549 | and Northing values will be returned in meters. |
---|
| 3550 | |
---|
| 3551 | PROGRAMMER DATE |
---|
| 3552 | ---------- ---- |
---|
| 3553 | T. Mittan March, 1993 |
---|
| 3554 | |
---|
| 3555 | This function was adapted from the Lambert Azimuthal Equal Area projection |
---|
| 3556 | code (FORTRAN) in the General Cartographic Transformation Package software |
---|
| 3557 | which is available from the U.S. Geological Survey National Mapping Division. |
---|
| 3558 | |
---|
| 3559 | ALGORITHM REFERENCES |
---|
| 3560 | |
---|
| 3561 | 1. "New Equal-Area Map Projections for Noncircular Regions", John P. Snyder, |
---|
| 3562 | The American Cartographer, Vol 15, No. 4, October 1988, pp. 341-355. |
---|
| 3563 | |
---|
| 3564 | 2. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 3565 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 3566 | State Government Printing Office, Washington D.C., 1987. |
---|
| 3567 | |
---|
| 3568 | 3. "Software Documentation for GCTP General Cartographic Transformation |
---|
| 3569 | Package", U.S. Geological Survey National Mapping Division, May 1982. |
---|
| 3570 | *******************************************************************************/ |
---|
| 3571 | |
---|
| 3572 | Proj4js.Proj.mill = { |
---|
| 3573 | |
---|
| 3574 | /* Initialize the Miller Cylindrical projection |
---|
| 3575 | -------------------------------------------*/ |
---|
| 3576 | init: function() { |
---|
| 3577 | //no-op |
---|
| 3578 | }, |
---|
| 3579 | |
---|
| 3580 | |
---|
| 3581 | /* Miller Cylindrical forward equations--mapping lat,long to x,y |
---|
| 3582 | ------------------------------------------------------------*/ |
---|
| 3583 | forward: function(p) { |
---|
| 3584 | var lon=p.x; |
---|
| 3585 | var lat=p.y; |
---|
| 3586 | /* Forward equations |
---|
| 3587 | -----------------*/ |
---|
| 3588 | var dlon = Proj4js.common.adjust_lon(lon -this.long0); |
---|
| 3589 | var x = this.x0 + this.a * dlon; |
---|
| 3590 | var y = this.y0 + this.a * Math.log(Math.tan((Proj4js.common.PI / 4.0) + (lat / 2.5))) * 1.25; |
---|
| 3591 | |
---|
| 3592 | p.x=x; |
---|
| 3593 | p.y=y; |
---|
| 3594 | return p; |
---|
| 3595 | },//millFwd() |
---|
| 3596 | |
---|
| 3597 | /* Miller Cylindrical inverse equations--mapping x,y to lat/long |
---|
| 3598 | ------------------------------------------------------------*/ |
---|
| 3599 | inverse: function(p) { |
---|
| 3600 | p.x -= this.x0; |
---|
| 3601 | p.y -= this.y0; |
---|
| 3602 | |
---|
| 3603 | var lon = Proj4js.common.adjust_lon(this.long0 + p.x /this.a); |
---|
| 3604 | var lat = 2.5 * (Math.atan(Math.exp(0.8*p.y/this.a)) - Proj4js.common.PI / 4.0); |
---|
| 3605 | |
---|
| 3606 | p.x=lon; |
---|
| 3607 | p.y=lat; |
---|
| 3608 | return p; |
---|
| 3609 | }//millInv() |
---|
| 3610 | }; |
---|
| 3611 | /* ====================================================================== |
---|
| 3612 | projCode/gnom.js |
---|
| 3613 | ====================================================================== */ |
---|
| 3614 | |
---|
| 3615 | /***************************************************************************** |
---|
| 3616 | NAME GNOMONIC |
---|
| 3617 | |
---|
| 3618 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 3619 | Northing for the Gnomonic Projection. |
---|
| 3620 | Implementation based on the existing sterea and ortho |
---|
| 3621 | implementations. |
---|
| 3622 | |
---|
| 3623 | PROGRAMMER DATE |
---|
| 3624 | ---------- ---- |
---|
| 3625 | Richard Marsden November 2009 |
---|
| 3626 | |
---|
| 3627 | ALGORITHM REFERENCES |
---|
| 3628 | |
---|
| 3629 | 1. Snyder, John P., "Flattening the Earth - Two Thousand Years of Map |
---|
| 3630 | Projections", University of Chicago Press 1993 |
---|
| 3631 | |
---|
| 3632 | 2. Wolfram Mathworld "Gnomonic Projection" |
---|
| 3633 | http://mathworld.wolfram.com/GnomonicProjection.html |
---|
| 3634 | Accessed: 12th November 2009 |
---|
| 3635 | ******************************************************************************/ |
---|
| 3636 | |
---|
| 3637 | Proj4js.Proj.gnom = { |
---|
| 3638 | |
---|
| 3639 | /* Initialize the Gnomonic projection |
---|
| 3640 | -------------------------------------*/ |
---|
| 3641 | init: function(def) { |
---|
| 3642 | |
---|
| 3643 | /* Place parameters in static storage for common use |
---|
| 3644 | -------------------------------------------------*/ |
---|
| 3645 | this.sin_p14=Math.sin(this.lat0); |
---|
| 3646 | this.cos_p14=Math.cos(this.lat0); |
---|
| 3647 | // Approximation for projecting points to the horizon (infinity) |
---|
| 3648 | this.infinity_dist = 1000 * this.a; |
---|
| 3649 | this.rc = 1; |
---|
| 3650 | }, |
---|
| 3651 | |
---|
| 3652 | |
---|
| 3653 | /* Gnomonic forward equations--mapping lat,long to x,y |
---|
| 3654 | ---------------------------------------------------*/ |
---|
| 3655 | forward: function(p) { |
---|
| 3656 | var sinphi, cosphi; /* sin and cos value */ |
---|
| 3657 | var dlon; /* delta longitude value */ |
---|
| 3658 | var coslon; /* cos of longitude */ |
---|
| 3659 | var ksp; /* scale factor */ |
---|
| 3660 | var g; |
---|
| 3661 | var lon=p.x; |
---|
| 3662 | var lat=p.y; |
---|
| 3663 | /* Forward equations |
---|
| 3664 | -----------------*/ |
---|
| 3665 | dlon = Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 3666 | |
---|
| 3667 | sinphi=Math.sin(lat); |
---|
| 3668 | cosphi=Math.cos(lat); |
---|
| 3669 | |
---|
| 3670 | coslon = Math.cos(dlon); |
---|
| 3671 | g = this.sin_p14 * sinphi + this.cos_p14 * cosphi * coslon; |
---|
| 3672 | ksp = 1.0; |
---|
| 3673 | if ((g > 0) || (Math.abs(g) <= Proj4js.common.EPSLN)) { |
---|
| 3674 | x = this.x0 + this.a * ksp * cosphi * Math.sin(dlon) / g; |
---|
| 3675 | y = this.y0 + this.a * ksp * (this.cos_p14 * sinphi - this.sin_p14 * cosphi * coslon) / g; |
---|
| 3676 | } else { |
---|
| 3677 | Proj4js.reportError("orthoFwdPointError"); |
---|
| 3678 | |
---|
| 3679 | // Point is in the opposing hemisphere and is unprojectable |
---|
| 3680 | // We still need to return a reasonable point, so we project |
---|
| 3681 | // to infinity, on a bearing |
---|
| 3682 | // equivalent to the northern hemisphere equivalent |
---|
| 3683 | // This is a reasonable approximation for short shapes and lines that |
---|
| 3684 | // straddle the horizon. |
---|
| 3685 | |
---|
| 3686 | x = this.x0 + this.infinity_dist * cosphi * Math.sin(dlon); |
---|
| 3687 | y = this.y0 + this.infinity_dist * (this.cos_p14 * sinphi - this.sin_p14 * cosphi * coslon); |
---|
| 3688 | |
---|
| 3689 | } |
---|
| 3690 | p.x=x; |
---|
| 3691 | p.y=y; |
---|
| 3692 | return p; |
---|
| 3693 | }, |
---|
| 3694 | |
---|
| 3695 | |
---|
| 3696 | inverse: function(p) { |
---|
| 3697 | var rh; /* Rho */ |
---|
| 3698 | var z; /* angle */ |
---|
| 3699 | var sinc, cosc; |
---|
| 3700 | var c; |
---|
| 3701 | var lon , lat; |
---|
| 3702 | |
---|
| 3703 | /* Inverse equations |
---|
| 3704 | -----------------*/ |
---|
| 3705 | p.x = (p.x - this.x0) / this.a; |
---|
| 3706 | p.y = (p.y - this.y0) / this.a; |
---|
| 3707 | |
---|
| 3708 | p.x /= this.k0; |
---|
| 3709 | p.y /= this.k0; |
---|
| 3710 | |
---|
| 3711 | if ( (rh = Math.sqrt(p.x * p.x + p.y * p.y)) ) { |
---|
| 3712 | c = Math.atan2(rh, this.rc); |
---|
| 3713 | sinc = Math.sin(c); |
---|
| 3714 | cosc = Math.cos(c); |
---|
| 3715 | |
---|
| 3716 | lat = Proj4js.common.asinz(cosc*this.sin_p14 + (p.y*sinc*this.cos_p14) / rh); |
---|
| 3717 | lon = Math.atan2(p.x*sinc, rh*this.cos_p14*cosc - p.y*this.sin_p14*sinc); |
---|
| 3718 | lon = Proj4js.common.adjust_lon(this.long0+lon); |
---|
| 3719 | } else { |
---|
| 3720 | lat = this.phic0; |
---|
| 3721 | lon = 0.0; |
---|
| 3722 | } |
---|
| 3723 | |
---|
| 3724 | p.x=lon; |
---|
| 3725 | p.y=lat; |
---|
| 3726 | return p; |
---|
| 3727 | } |
---|
| 3728 | }; |
---|
| 3729 | |
---|
| 3730 | |
---|
| 3731 | /* ====================================================================== |
---|
| 3732 | projCode/sinu.js |
---|
| 3733 | ====================================================================== */ |
---|
| 3734 | |
---|
| 3735 | /******************************************************************************* |
---|
| 3736 | NAME SINUSOIDAL |
---|
| 3737 | |
---|
| 3738 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 3739 | Northing for the Sinusoidal projection. The |
---|
| 3740 | longitude and latitude must be in radians. The Easting |
---|
| 3741 | and Northing values will be returned in meters. |
---|
| 3742 | |
---|
| 3743 | PROGRAMMER DATE |
---|
| 3744 | ---------- ---- |
---|
| 3745 | D. Steinwand, EROS May, 1991 |
---|
| 3746 | |
---|
| 3747 | This function was adapted from the Sinusoidal projection code (FORTRAN) in the |
---|
| 3748 | General Cartographic Transformation Package software which is available from |
---|
| 3749 | the U.S. Geological Survey National Mapping Division. |
---|
| 3750 | |
---|
| 3751 | ALGORITHM REFERENCES |
---|
| 3752 | |
---|
| 3753 | 1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 3754 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 3755 | State Government Printing Office, Washington D.C., 1987. |
---|
| 3756 | |
---|
| 3757 | 2. "Software Documentation for GCTP General Cartographic Transformation |
---|
| 3758 | Package", U.S. Geological Survey National Mapping Division, May 1982. |
---|
| 3759 | *******************************************************************************/ |
---|
| 3760 | |
---|
| 3761 | Proj4js.Proj.sinu = { |
---|
| 3762 | |
---|
| 3763 | /* Initialize the Sinusoidal projection |
---|
| 3764 | ------------------------------------*/ |
---|
| 3765 | init: function() { |
---|
| 3766 | /* Place parameters in static storage for common use |
---|
| 3767 | -------------------------------------------------*/ |
---|
| 3768 | this.R = 6370997.0; //Radius of earth |
---|
| 3769 | }, |
---|
| 3770 | |
---|
| 3771 | /* Sinusoidal forward equations--mapping lat,long to x,y |
---|
| 3772 | -----------------------------------------------------*/ |
---|
| 3773 | forward: function(p) { |
---|
| 3774 | var x,y,delta_lon; |
---|
| 3775 | var lon=p.x; |
---|
| 3776 | var lat=p.y; |
---|
| 3777 | /* Forward equations |
---|
| 3778 | -----------------*/ |
---|
| 3779 | delta_lon = Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 3780 | x = this.R * delta_lon * Math.cos(lat) + this.x0; |
---|
| 3781 | y = this.R * lat + this.y0; |
---|
| 3782 | |
---|
| 3783 | p.x=x; |
---|
| 3784 | p.y=y; |
---|
| 3785 | return p; |
---|
| 3786 | }, |
---|
| 3787 | |
---|
| 3788 | inverse: function(p) { |
---|
| 3789 | var lat,temp,lon; |
---|
| 3790 | |
---|
| 3791 | /* Inverse equations |
---|
| 3792 | -----------------*/ |
---|
| 3793 | p.x -= this.x0; |
---|
| 3794 | p.y -= this.y0; |
---|
| 3795 | lat = p.y / this.R; |
---|
| 3796 | if (Math.abs(lat) > Proj4js.common.HALF_PI) { |
---|
| 3797 | Proj4js.reportError("sinu:Inv:DataError"); |
---|
| 3798 | } |
---|
| 3799 | temp = Math.abs(lat) - Proj4js.common.HALF_PI; |
---|
| 3800 | if (Math.abs(temp) > Proj4js.common.EPSLN) { |
---|
| 3801 | temp = this.long0+ p.x / (this.R *Math.cos(lat)); |
---|
| 3802 | lon = Proj4js.common.adjust_lon(temp); |
---|
| 3803 | } else { |
---|
| 3804 | lon = this.long0; |
---|
| 3805 | } |
---|
| 3806 | |
---|
| 3807 | p.x=lon; |
---|
| 3808 | p.y=lat; |
---|
| 3809 | return p; |
---|
| 3810 | } |
---|
| 3811 | }; |
---|
| 3812 | |
---|
| 3813 | |
---|
| 3814 | /* ====================================================================== |
---|
| 3815 | projCode/vandg.js |
---|
| 3816 | ====================================================================== */ |
---|
| 3817 | |
---|
| 3818 | /******************************************************************************* |
---|
| 3819 | NAME VAN DER GRINTEN |
---|
| 3820 | |
---|
| 3821 | PURPOSE: Transforms input Easting and Northing to longitude and |
---|
| 3822 | latitude for the Van der Grinten projection. The |
---|
| 3823 | Easting and Northing must be in meters. The longitude |
---|
| 3824 | and latitude values will be returned in radians. |
---|
| 3825 | |
---|
| 3826 | PROGRAMMER DATE |
---|
| 3827 | ---------- ---- |
---|
| 3828 | T. Mittan March, 1993 |
---|
| 3829 | |
---|
| 3830 | This function was adapted from the Van Der Grinten projection code |
---|
| 3831 | (FORTRAN) in the General Cartographic Transformation Package software |
---|
| 3832 | which is available from the U.S. Geological Survey National Mapping Division. |
---|
| 3833 | |
---|
| 3834 | ALGORITHM REFERENCES |
---|
| 3835 | |
---|
| 3836 | 1. "New Equal-Area Map Projections for Noncircular Regions", John P. Snyder, |
---|
| 3837 | The American Cartographer, Vol 15, No. 4, October 1988, pp. 341-355. |
---|
| 3838 | |
---|
| 3839 | 2. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 3840 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 3841 | State Government Printing Office, Washington D.C., 1987. |
---|
| 3842 | |
---|
| 3843 | 3. "Software Documentation for GCTP General Cartographic Transformation |
---|
| 3844 | Package", U.S. Geological Survey National Mapping Division, May 1982. |
---|
| 3845 | *******************************************************************************/ |
---|
| 3846 | |
---|
| 3847 | Proj4js.Proj.vandg = { |
---|
| 3848 | |
---|
| 3849 | /* Initialize the Van Der Grinten projection |
---|
| 3850 | ----------------------------------------*/ |
---|
| 3851 | init: function() { |
---|
| 3852 | this.R = 6370997.0; //Radius of earth |
---|
| 3853 | }, |
---|
| 3854 | |
---|
| 3855 | forward: function(p) { |
---|
| 3856 | |
---|
| 3857 | var lon=p.x; |
---|
| 3858 | var lat=p.y; |
---|
| 3859 | |
---|
| 3860 | /* Forward equations |
---|
| 3861 | -----------------*/ |
---|
| 3862 | var dlon = Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 3863 | var x,y; |
---|
| 3864 | |
---|
| 3865 | if (Math.abs(lat) <= Proj4js.common.EPSLN) { |
---|
| 3866 | x = this.x0 + this.R * dlon; |
---|
| 3867 | y = this.y0; |
---|
| 3868 | } |
---|
| 3869 | var theta = Proj4js.common.asinz(2.0 * Math.abs(lat / Proj4js.common.PI)); |
---|
| 3870 | if ((Math.abs(dlon) <= Proj4js.common.EPSLN) || (Math.abs(Math.abs(lat) - Proj4js.common.HALF_PI) <= Proj4js.common.EPSLN)) { |
---|
| 3871 | x = this.x0; |
---|
| 3872 | if (lat >= 0) { |
---|
| 3873 | y = this.y0 + Proj4js.common.PI * this.R * Math.tan(.5 * theta); |
---|
| 3874 | } else { |
---|
| 3875 | y = this.y0 + Proj4js.common.PI * this.R * - Math.tan(.5 * theta); |
---|
| 3876 | } |
---|
| 3877 | // return(OK); |
---|
| 3878 | } |
---|
| 3879 | var al = .5 * Math.abs((Proj4js.common.PI / dlon) - (dlon / Proj4js.common.PI)); |
---|
| 3880 | var asq = al * al; |
---|
| 3881 | var sinth = Math.sin(theta); |
---|
| 3882 | var costh = Math.cos(theta); |
---|
| 3883 | |
---|
| 3884 | var g = costh / (sinth + costh - 1.0); |
---|
| 3885 | var gsq = g * g; |
---|
| 3886 | var m = g * (2.0 / sinth - 1.0); |
---|
| 3887 | var msq = m * m; |
---|
| 3888 | var con = Proj4js.common.PI * this.R * (al * (g - msq) + Math.sqrt(asq * (g - msq) * (g - msq) - (msq + asq) * (gsq - msq))) / (msq + asq); |
---|
| 3889 | if (dlon < 0) { |
---|
| 3890 | con = -con; |
---|
| 3891 | } |
---|
| 3892 | x = this.x0 + con; |
---|
| 3893 | con = Math.abs(con / (Proj4js.common.PI * this.R)); |
---|
| 3894 | if (lat >= 0) { |
---|
| 3895 | y = this.y0 + Proj4js.common.PI * this.R * Math.sqrt(1.0 - con * con - 2.0 * al * con); |
---|
| 3896 | } else { |
---|
| 3897 | y = this.y0 - Proj4js.common.PI * this.R * Math.sqrt(1.0 - con * con - 2.0 * al * con); |
---|
| 3898 | } |
---|
| 3899 | p.x = x; |
---|
| 3900 | p.y = y; |
---|
| 3901 | return p; |
---|
| 3902 | }, |
---|
| 3903 | |
---|
| 3904 | /* Van Der Grinten inverse equations--mapping x,y to lat/long |
---|
| 3905 | ---------------------------------------------------------*/ |
---|
| 3906 | inverse: function(p) { |
---|
| 3907 | var dlon; |
---|
| 3908 | var xx,yy,xys,c1,c2,c3; |
---|
| 3909 | var al,asq; |
---|
| 3910 | var a1; |
---|
| 3911 | var m1; |
---|
| 3912 | var con; |
---|
| 3913 | var th1; |
---|
| 3914 | var d; |
---|
| 3915 | |
---|
| 3916 | /* inverse equations |
---|
| 3917 | -----------------*/ |
---|
| 3918 | p.x -= this.x0; |
---|
| 3919 | p.y -= this.y0; |
---|
| 3920 | con = Proj4js.common.PI * this.R; |
---|
| 3921 | xx = p.x / con; |
---|
| 3922 | yy =p.y / con; |
---|
| 3923 | xys = xx * xx + yy * yy; |
---|
| 3924 | c1 = -Math.abs(yy) * (1.0 + xys); |
---|
| 3925 | c2 = c1 - 2.0 * yy * yy + xx * xx; |
---|
| 3926 | c3 = -2.0 * c1 + 1.0 + 2.0 * yy * yy + xys * xys; |
---|
| 3927 | d = yy * yy / c3 + (2.0 * c2 * c2 * c2 / c3 / c3 / c3 - 9.0 * c1 * c2 / c3 /c3) / 27.0; |
---|
| 3928 | a1 = (c1 - c2 * c2 / 3.0 / c3) / c3; |
---|
| 3929 | m1 = 2.0 * Math.sqrt( -a1 / 3.0); |
---|
| 3930 | con = ((3.0 * d) / a1) / m1; |
---|
| 3931 | if (Math.abs(con) > 1.0) { |
---|
| 3932 | if (con >= 0.0) { |
---|
| 3933 | con = 1.0; |
---|
| 3934 | } else { |
---|
| 3935 | con = -1.0; |
---|
| 3936 | } |
---|
| 3937 | } |
---|
| 3938 | th1 = Math.acos(con) / 3.0; |
---|
| 3939 | if (p.y >= 0) { |
---|
| 3940 | lat = (-m1 *Math.cos(th1 + Proj4js.common.PI / 3.0) - c2 / 3.0 / c3) * Proj4js.common.PI; |
---|
| 3941 | } else { |
---|
| 3942 | lat = -(-m1 * Math.cos(th1 + Proj4js.common.PI / 3.0) - c2 / 3.0 / c3) * Proj4js.common.PI; |
---|
| 3943 | } |
---|
| 3944 | |
---|
| 3945 | if (Math.abs(xx) < Proj4js.common.EPSLN) { |
---|
| 3946 | lon = this.long0; |
---|
| 3947 | } |
---|
| 3948 | 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); |
---|
| 3949 | |
---|
| 3950 | p.x=lon; |
---|
| 3951 | p.y=lat; |
---|
| 3952 | return p; |
---|
| 3953 | } |
---|
| 3954 | }; |
---|
| 3955 | /* ====================================================================== |
---|
| 3956 | projCode/cea.js |
---|
| 3957 | ====================================================================== */ |
---|
| 3958 | |
---|
| 3959 | /******************************************************************************* |
---|
| 3960 | NAME LAMBERT CYLINDRICAL EQUAL AREA |
---|
| 3961 | |
---|
| 3962 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 3963 | Northing for the Lambert Cylindrical Equal Area projection. |
---|
| 3964 | This class of projection includes the Behrmann and |
---|
| 3965 | Gall-Peters Projections. The |
---|
| 3966 | longitude and latitude must be in radians. The Easting |
---|
| 3967 | and Northing values will be returned in meters. |
---|
| 3968 | |
---|
| 3969 | PROGRAMMER DATE |
---|
| 3970 | ---------- ---- |
---|
| 3971 | R. Marsden August 2009 |
---|
| 3972 | Winwaed Software Tech LLC, http://www.winwaed.com |
---|
| 3973 | |
---|
| 3974 | This function was adapted from the Miller Cylindrical Projection in the Proj4JS |
---|
| 3975 | library. |
---|
| 3976 | |
---|
| 3977 | Note: This implementation assumes a Spherical Earth. The (commented) code |
---|
| 3978 | has been included for the ellipsoidal forward transform, but derivation of |
---|
| 3979 | the ellispoidal inverse transform is beyond me. Note that most of the |
---|
| 3980 | Proj4JS implementations do NOT currently support ellipsoidal figures. |
---|
| 3981 | Therefore this is not seen as a problem - especially this lack of support |
---|
| 3982 | is explicitly stated here. |
---|
| 3983 | |
---|
| 3984 | ALGORITHM REFERENCES |
---|
| 3985 | |
---|
| 3986 | 1. "Cartographic Projection Procedures for the UNIX Environment - |
---|
| 3987 | A User's Manual" by Gerald I. Evenden, USGS Open File Report 90-284 |
---|
| 3988 | and Release 4 Interim Reports (2003) |
---|
| 3989 | |
---|
| 3990 | 2. Snyder, John P., "Flattening the Earth - Two Thousand Years of Map |
---|
| 3991 | Projections", Univ. Chicago Press, 1993 |
---|
| 3992 | *******************************************************************************/ |
---|
| 3993 | |
---|
| 3994 | Proj4js.Proj.cea = { |
---|
| 3995 | |
---|
| 3996 | /* Initialize the Cylindrical Equal Area projection |
---|
| 3997 | -------------------------------------------*/ |
---|
| 3998 | init: function() { |
---|
| 3999 | //no-op |
---|
| 4000 | }, |
---|
| 4001 | |
---|
| 4002 | |
---|
| 4003 | /* Cylindrical Equal Area forward equations--mapping lat,long to x,y |
---|
| 4004 | ------------------------------------------------------------*/ |
---|
| 4005 | forward: function(p) { |
---|
| 4006 | var lon=p.x; |
---|
| 4007 | var lat=p.y; |
---|
| 4008 | /* Forward equations |
---|
| 4009 | -----------------*/ |
---|
| 4010 | dlon = Proj4js.common.adjust_lon(lon -this.long0); |
---|
| 4011 | var x = this.x0 + this.a * dlon * Math.cos(this.lat_ts); |
---|
| 4012 | var y = this.y0 + this.a * Math.sin(lat) / Math.cos(this.lat_ts); |
---|
| 4013 | /* Elliptical Forward Transform |
---|
| 4014 | Not implemented due to a lack of a matchign inverse function |
---|
| 4015 | { |
---|
| 4016 | var Sin_Lat = Math.sin(lat); |
---|
| 4017 | var Rn = this.a * (Math.sqrt(1.0e0 - this.es * Sin_Lat * Sin_Lat )); |
---|
| 4018 | x = this.x0 + this.a * dlon * Math.cos(this.lat_ts); |
---|
| 4019 | y = this.y0 + Rn * Math.sin(lat) / Math.cos(this.lat_ts); |
---|
| 4020 | } |
---|
| 4021 | */ |
---|
| 4022 | |
---|
| 4023 | |
---|
| 4024 | p.x=x; |
---|
| 4025 | p.y=y; |
---|
| 4026 | return p; |
---|
| 4027 | },//ceaFwd() |
---|
| 4028 | |
---|
| 4029 | /* Cylindrical Equal Area inverse equations--mapping x,y to lat/long |
---|
| 4030 | ------------------------------------------------------------*/ |
---|
| 4031 | inverse: function(p) { |
---|
| 4032 | p.x -= this.x0; |
---|
| 4033 | p.y -= this.y0; |
---|
| 4034 | |
---|
| 4035 | var lon = Proj4js.common.adjust_lon( this.long0 + (p.x / this.a) / Math.cos(this.lat_ts) ); |
---|
| 4036 | |
---|
| 4037 | var lat = Math.asin( (p.y/this.a) * Math.cos(this.lat_ts) ); |
---|
| 4038 | |
---|
| 4039 | p.x=lon; |
---|
| 4040 | p.y=lat; |
---|
| 4041 | return p; |
---|
| 4042 | }//ceaInv() |
---|
| 4043 | }; |
---|
| 4044 | /* ====================================================================== |
---|
| 4045 | projCode/eqc.js |
---|
| 4046 | ====================================================================== */ |
---|
| 4047 | |
---|
| 4048 | /* similar to equi.js FIXME proj4 uses eqc */ |
---|
| 4049 | Proj4js.Proj.eqc = { |
---|
| 4050 | init : function() { |
---|
| 4051 | |
---|
| 4052 | if(!this.x0) this.x0=0; |
---|
| 4053 | if(!this.y0) this.y0=0; |
---|
| 4054 | if(!this.lat0) this.lat0=0; |
---|
| 4055 | if(!this.long0) this.long0=0; |
---|
| 4056 | if(!this.lat_ts) this.lat_ts=0; |
---|
| 4057 | if (!this.title) this.title = "Equidistant Cylindrical (Plate Carre)"; |
---|
| 4058 | |
---|
| 4059 | this.rc= Math.cos(this.lat_ts); |
---|
| 4060 | }, |
---|
| 4061 | |
---|
| 4062 | |
---|
| 4063 | // forward equations--mapping lat,long to x,y |
---|
| 4064 | // ----------------------------------------------------------------- |
---|
| 4065 | forward : function(p) { |
---|
| 4066 | |
---|
| 4067 | var lon= p.x; |
---|
| 4068 | var lat= p.y; |
---|
| 4069 | |
---|
| 4070 | var dlon = Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 4071 | var dlat = Proj4js.common.adjust_lat(lat - this.lat0 ); |
---|
| 4072 | p.x= this.x0 + (this.a*dlon*this.rc); |
---|
| 4073 | p.y= this.y0 + (this.a*dlat ); |
---|
| 4074 | return p; |
---|
| 4075 | }, |
---|
| 4076 | |
---|
| 4077 | // inverse equations--mapping x,y to lat/long |
---|
| 4078 | // ----------------------------------------------------------------- |
---|
| 4079 | inverse : function(p) { |
---|
| 4080 | |
---|
| 4081 | var x= p.x; |
---|
| 4082 | var y= p.y; |
---|
| 4083 | |
---|
| 4084 | p.x= Proj4js.common.adjust_lon(this.long0 + ((x - this.x0)/(this.a*this.rc))); |
---|
| 4085 | p.y= Proj4js.common.adjust_lat(this.lat0 + ((y - this.y0)/(this.a ))); |
---|
| 4086 | return p; |
---|
| 4087 | } |
---|
| 4088 | |
---|
| 4089 | }; |
---|
| 4090 | /* ====================================================================== |
---|
| 4091 | projCode/cass.js |
---|
| 4092 | ====================================================================== */ |
---|
| 4093 | |
---|
| 4094 | /******************************************************************************* |
---|
| 4095 | NAME CASSINI |
---|
| 4096 | |
---|
| 4097 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 4098 | Northing for the Cassini projection. The |
---|
| 4099 | longitude and latitude must be in radians. The Easting |
---|
| 4100 | and Northing values will be returned in meters. |
---|
| 4101 | Ported from PROJ.4. |
---|
| 4102 | |
---|
| 4103 | |
---|
| 4104 | ALGORITHM REFERENCES |
---|
| 4105 | |
---|
| 4106 | 1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 4107 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 4108 | State Government Printing Office, Washington D.C., 1987. |
---|
| 4109 | |
---|
| 4110 | 2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections", |
---|
| 4111 | U.S. Geological Survey Professional Paper 1453 , United State Government |
---|
| 4112 | *******************************************************************************/ |
---|
| 4113 | |
---|
| 4114 | |
---|
| 4115 | //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"; |
---|
| 4116 | |
---|
| 4117 | // Initialize the Cassini projection |
---|
| 4118 | // ----------------------------------------------------------------- |
---|
| 4119 | |
---|
| 4120 | Proj4js.Proj.cass = { |
---|
| 4121 | init : function() { |
---|
| 4122 | if (!this.sphere) { |
---|
| 4123 | this.en = this.pj_enfn(this.es) |
---|
| 4124 | this.m0 = this.pj_mlfn(this.lat0, Math.sin(this.lat0), Math.cos(this.lat0), this.en); |
---|
| 4125 | } |
---|
| 4126 | }, |
---|
| 4127 | |
---|
| 4128 | C1: .16666666666666666666, |
---|
| 4129 | C2: .00833333333333333333, |
---|
| 4130 | C3: .04166666666666666666, |
---|
| 4131 | C4: .33333333333333333333, |
---|
| 4132 | C5: .06666666666666666666, |
---|
| 4133 | |
---|
| 4134 | |
---|
| 4135 | /* Cassini forward equations--mapping lat,long to x,y |
---|
| 4136 | -----------------------------------------------------------------------*/ |
---|
| 4137 | forward: function(p) { |
---|
| 4138 | |
---|
| 4139 | /* Forward equations |
---|
| 4140 | -----------------*/ |
---|
| 4141 | var x,y; |
---|
| 4142 | var lam=p.x; |
---|
| 4143 | var phi=p.y; |
---|
| 4144 | lam = Proj4js.common.adjust_lon(lam - this.long0); |
---|
| 4145 | |
---|
| 4146 | if (this.sphere) { |
---|
| 4147 | x = Math.asin(Math.cos(phi) * Math.sin(lam)); |
---|
| 4148 | y = Math.atan2(Math.tan(phi) , Math.cos(lam)) - this.phi0; |
---|
| 4149 | } else { |
---|
| 4150 | //ellipsoid |
---|
| 4151 | this.n = Math.sin(phi); |
---|
| 4152 | this.c = Math.cos(phi); |
---|
| 4153 | y = this.pj_mlfn(phi, this.n, this.c, this.en); |
---|
| 4154 | this.n = 1./Math.sqrt(1. - this.es * this.n * this.n); |
---|
| 4155 | this.tn = Math.tan(phi); |
---|
| 4156 | this.t = this.tn * this.tn; |
---|
| 4157 | this.a1 = lam * this.c; |
---|
| 4158 | this.c *= this.es * this.c / (1 - this.es); |
---|
| 4159 | this.a2 = this.a1 * this.a1; |
---|
| 4160 | x = this.n * this.a1 * (1. - this.a2 * this.t * (this.C1 - (8. - this.t + 8. * this.c) * this.a2 * this.C2)); |
---|
| 4161 | y -= this.m0 - this.n * this.tn * this.a2 * (.5 + (5. - this.t + 6. * this.c) * this.a2 * this.C3); |
---|
| 4162 | } |
---|
| 4163 | |
---|
| 4164 | p.x = this.a*x + this.x0; |
---|
| 4165 | p.y = this.a*y + this.y0; |
---|
| 4166 | return p; |
---|
| 4167 | },//cassFwd() |
---|
| 4168 | |
---|
| 4169 | /* Inverse equations |
---|
| 4170 | -----------------*/ |
---|
| 4171 | inverse: function(p) { |
---|
| 4172 | p.x -= this.x0; |
---|
| 4173 | p.y -= this.y0; |
---|
| 4174 | var x = p.x/this.a; |
---|
| 4175 | var y = p.y/this.a; |
---|
| 4176 | |
---|
| 4177 | if (this.sphere) { |
---|
| 4178 | this.dd = y + this.lat0; |
---|
| 4179 | phi = Math.asin(Math.sin(this.dd) * Math.cos(x)); |
---|
| 4180 | lam = Math.atan2(Math.tan(x), Math.cos(this.dd)); |
---|
| 4181 | } else { |
---|
| 4182 | /* ellipsoid */ |
---|
| 4183 | ph1 = this.pj_inv_mlfn(this.m0 + y, this.es, this.en); |
---|
| 4184 | this.tn = Math.tan(ph1); |
---|
| 4185 | this.t = this.tn * this.tn; |
---|
| 4186 | this.n = Math.sin(ph1); |
---|
| 4187 | this.r = 1. / (1. - this.es * this.n * this.n); |
---|
| 4188 | this.n = Math.sqrt(this.r); |
---|
| 4189 | this.r *= (1. - this.es) * this.n; |
---|
| 4190 | this.dd = x / this.n; |
---|
| 4191 | this.d2 = this.dd * this.dd; |
---|
| 4192 | phi = ph1 - (this.n * this.tn / this.r) * this.d2 * (.5 - (1. + 3. * this.t) * this.d2 * this.C3); |
---|
| 4193 | lam = this.dd * (1. + this.t * this.d2 * (-this.C4 + (1. + 3. * this.t) * this.d2 * this.C5)) / Math.cos(ph1); |
---|
| 4194 | } |
---|
| 4195 | p.x = Proj4js.common.adjust_lon(this.long0+lam); |
---|
| 4196 | p.y = phi; |
---|
| 4197 | return p; |
---|
| 4198 | },//lamazInv() |
---|
| 4199 | |
---|
| 4200 | |
---|
| 4201 | //code from the PROJ.4 pj_mlfn.c file; this may be useful for other projections |
---|
| 4202 | pj_enfn: function(es) { |
---|
| 4203 | en = new Array(); |
---|
| 4204 | en[0] = this.C00 - es * (this.C02 + es * (this.C04 + es * (this.C06 + es * this.C08))); |
---|
| 4205 | en[1] = es * (this.C22 - es * (this.C04 + es * (this.C06 + es * this.C08))); |
---|
| 4206 | var t = es * es; |
---|
| 4207 | en[2] = t * (this.C44 - es * (this.C46 + es * this.C48)); |
---|
| 4208 | t *= es; |
---|
| 4209 | en[3] = t * (this.C66 - es * this.C68); |
---|
| 4210 | en[4] = t * es * this.C88; |
---|
| 4211 | return en; |
---|
| 4212 | }, |
---|
| 4213 | |
---|
| 4214 | pj_mlfn: function(phi, sphi, cphi, en) { |
---|
| 4215 | cphi *= sphi; |
---|
| 4216 | sphi *= sphi; |
---|
| 4217 | return(en[0] * phi - cphi * (en[1] + sphi*(en[2]+ sphi*(en[3] + sphi*en[4])))); |
---|
| 4218 | }, |
---|
| 4219 | |
---|
| 4220 | pj_inv_mlfn: function(arg, es, en) { |
---|
| 4221 | k = 1./(1.-es); |
---|
| 4222 | phi = arg; |
---|
| 4223 | for (i = Proj4js.common.MAX_ITER; i ; --i) { /* rarely goes over 2 iterations */ |
---|
| 4224 | s = Math.sin(phi); |
---|
| 4225 | t = 1. - es * s * s; |
---|
| 4226 | //t = this.pj_mlfn(phi, s, Math.cos(phi), en) - arg; |
---|
| 4227 | //phi -= t * (t * Math.sqrt(t)) * k; |
---|
| 4228 | t = (this.pj_mlfn(phi, s, Math.cos(phi), en) - arg) * (t * Math.sqrt(t)) * k; |
---|
| 4229 | phi -= t; |
---|
| 4230 | if (Math.abs(t) < Proj4js.common.EPSLN) |
---|
| 4231 | return phi; |
---|
| 4232 | } |
---|
| 4233 | Proj4js.reportError("cass:pj_inv_mlfn: Convergence error"); |
---|
| 4234 | return phi; |
---|
| 4235 | }, |
---|
| 4236 | |
---|
| 4237 | /* meridinal distance for ellipsoid and inverse |
---|
| 4238 | ** 8th degree - accurate to < 1e-5 meters when used in conjuction |
---|
| 4239 | ** with typical major axis values. |
---|
| 4240 | ** Inverse determines phi to EPS (1e-11) radians, about 1e-6 seconds. |
---|
| 4241 | */ |
---|
| 4242 | C00: 1.0, |
---|
| 4243 | C02: .25, |
---|
| 4244 | C04: .046875, |
---|
| 4245 | C06: .01953125, |
---|
| 4246 | C08: .01068115234375, |
---|
| 4247 | C22: .75, |
---|
| 4248 | C44: .46875, |
---|
| 4249 | C46: .01302083333333333333, |
---|
| 4250 | C48: .00712076822916666666, |
---|
| 4251 | C66: .36458333333333333333, |
---|
| 4252 | C68: .00569661458333333333, |
---|
| 4253 | C88: .3076171875 |
---|
| 4254 | |
---|
| 4255 | } |
---|
| 4256 | /* ====================================================================== |
---|
| 4257 | projCode/gauss.js |
---|
| 4258 | ====================================================================== */ |
---|
| 4259 | |
---|
| 4260 | |
---|
| 4261 | Proj4js.Proj.gauss = { |
---|
| 4262 | |
---|
| 4263 | init : function() { |
---|
| 4264 | sphi = Math.sin(this.lat0); |
---|
| 4265 | cphi = Math.cos(this.lat0); |
---|
| 4266 | cphi *= cphi; |
---|
| 4267 | this.rc = Math.sqrt(1.0 - this.es) / (1.0 - this.es * sphi * sphi); |
---|
| 4268 | this.C = Math.sqrt(1.0 + this.es * cphi * cphi / (1.0 - this.es)); |
---|
| 4269 | this.phic0 = Math.asin(sphi / this.C); |
---|
| 4270 | this.ratexp = 0.5 * this.C * this.e; |
---|
| 4271 | 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)); |
---|
| 4272 | }, |
---|
| 4273 | |
---|
| 4274 | forward : function(p) { |
---|
| 4275 | var lon = p.x; |
---|
| 4276 | var lat = p.y; |
---|
| 4277 | |
---|
| 4278 | 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; |
---|
| 4279 | p.x = this.C * lon; |
---|
| 4280 | return p; |
---|
| 4281 | }, |
---|
| 4282 | |
---|
| 4283 | inverse : function(p) { |
---|
| 4284 | var DEL_TOL = 1e-14; |
---|
| 4285 | var lon = p.x / this.C; |
---|
| 4286 | var lat = p.y; |
---|
| 4287 | num = Math.pow(Math.tan(0.5 * lat + Proj4js.common.FORTPI)/this.K, 1./this.C); |
---|
| 4288 | for (var i = Proj4js.common.MAX_ITER; i>0; --i) { |
---|
| 4289 | lat = 2.0 * Math.atan(num * Proj4js.common.srat(this.e * Math.sin(p.y), -0.5 * this.e)) - Proj4js.common.HALF_PI; |
---|
| 4290 | if (Math.abs(lat - p.y) < DEL_TOL) break; |
---|
| 4291 | p.y = lat; |
---|
| 4292 | } |
---|
| 4293 | /* convergence failed */ |
---|
| 4294 | if (!i) { |
---|
| 4295 | Proj4js.reportError("gauss:inverse:convergence failed"); |
---|
| 4296 | return null; |
---|
| 4297 | } |
---|
| 4298 | p.x = lon; |
---|
| 4299 | p.y = lat; |
---|
| 4300 | return p; |
---|
| 4301 | } |
---|
| 4302 | }; |
---|
| 4303 | |
---|
| 4304 | /* ====================================================================== |
---|
| 4305 | projCode/omerc.js |
---|
| 4306 | ====================================================================== */ |
---|
| 4307 | |
---|
| 4308 | /******************************************************************************* |
---|
| 4309 | NAME OBLIQUE MERCATOR (HOTINE) |
---|
| 4310 | |
---|
| 4311 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 4312 | Northing for the Oblique Mercator projection. The |
---|
| 4313 | longitude and latitude must be in radians. The Easting |
---|
| 4314 | and Northing values will be returned in meters. |
---|
| 4315 | |
---|
| 4316 | PROGRAMMER DATE |
---|
| 4317 | ---------- ---- |
---|
| 4318 | T. Mittan Mar, 1993 |
---|
| 4319 | |
---|
| 4320 | ALGORITHM REFERENCES |
---|
| 4321 | |
---|
| 4322 | 1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 4323 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 4324 | State Government Printing Office, Washington D.C., 1987. |
---|
| 4325 | |
---|
| 4326 | 2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections", |
---|
| 4327 | U.S. Geological Survey Professional Paper 1453 , United State Government |
---|
| 4328 | Printing Office, Washington D.C., 1989. |
---|
| 4329 | *******************************************************************************/ |
---|
| 4330 | |
---|
| 4331 | Proj4js.Proj.omerc = { |
---|
| 4332 | |
---|
| 4333 | /* Initialize the Oblique Mercator projection |
---|
| 4334 | ------------------------------------------*/ |
---|
| 4335 | init: function() { |
---|
| 4336 | if (!this.mode) this.mode=0; |
---|
| 4337 | if (!this.lon1) {this.lon1=0;this.mode=1;} |
---|
| 4338 | if (!this.lon2) this.lon2=0; |
---|
| 4339 | if (!this.lat2) this.lat2=0; |
---|
| 4340 | |
---|
| 4341 | /* Place parameters in static storage for common use |
---|
| 4342 | -------------------------------------------------*/ |
---|
| 4343 | var temp = this.b/ this.a; |
---|
| 4344 | var es = 1.0 - Math.pow(temp,2); |
---|
| 4345 | var e = Math.sqrt(es); |
---|
| 4346 | |
---|
| 4347 | this.sin_p20=Math.sin(this.lat0); |
---|
| 4348 | this.cos_p20=Math.cos(this.lat0); |
---|
| 4349 | |
---|
| 4350 | this.con = 1.0 - this.es * this.sin_p20 * this.sin_p20; |
---|
| 4351 | this.com = Math.sqrt(1.0 - es); |
---|
| 4352 | this.bl = Math.sqrt(1.0 + this.es * Math.pow(this.cos_p20,4.0)/(1.0 - es)); |
---|
| 4353 | this.al = this.a * this.bl * this.k0 * this.com / this.con; |
---|
| 4354 | if (Math.abs(this.lat0) < Proj4js.common.EPSLN) { |
---|
| 4355 | this.ts = 1.0; |
---|
| 4356 | this.d = 1.0; |
---|
| 4357 | this.el = 1.0; |
---|
| 4358 | } else { |
---|
| 4359 | this.ts = Proj4js.common.tsfnz(this.e,this.lat0,this.sin_p20); |
---|
| 4360 | this.con = Math.sqrt(this.con); |
---|
| 4361 | this.d = this.bl * this.com / (this.cos_p20 * this.con); |
---|
| 4362 | if ((this.d * this.d - 1.0) > 0.0) { |
---|
| 4363 | if (this.lat0 >= 0.0) { |
---|
| 4364 | this.f = this.d + Math.sqrt(this.d * this.d - 1.0); |
---|
| 4365 | } else { |
---|
| 4366 | this.f = this.d - Math.sqrt(this.d * this.d - 1.0); |
---|
| 4367 | } |
---|
| 4368 | } else { |
---|
| 4369 | this.f = this.d; |
---|
| 4370 | } |
---|
| 4371 | this.el = this.f * Math.pow(this.ts,this.bl); |
---|
| 4372 | } |
---|
| 4373 | |
---|
| 4374 | //this.longc=52.60353916666667; |
---|
| 4375 | |
---|
| 4376 | if (this.mode != 0) { |
---|
| 4377 | this.g = .5 * (this.f - 1.0/this.f); |
---|
| 4378 | this.gama = Proj4js.common.asinz(Math.sin(this.alpha) / this.d); |
---|
| 4379 | this.longc= this.longc - Proj4js.common.asinz(this.g * Math.tan(this.gama))/this.bl; |
---|
| 4380 | |
---|
| 4381 | /* Report parameters common to format B |
---|
| 4382 | -------------------------------------*/ |
---|
| 4383 | //genrpt(azimuth * R2D,"Azimuth of Central Line: "); |
---|
| 4384 | //cenlon(lon_origin); |
---|
| 4385 | // cenlat(lat_origin); |
---|
| 4386 | |
---|
| 4387 | this.con = Math.abs(this.lat0); |
---|
| 4388 | if ((this.con > Proj4js.common.EPSLN) && (Math.abs(this.con - Proj4js.common.HALF_PI) > Proj4js.common.EPSLN)) { |
---|
| 4389 | this.singam=Math.sin(this.gama); |
---|
| 4390 | this.cosgam=Math.cos(this.gama); |
---|
| 4391 | |
---|
| 4392 | this.sinaz=Math.sin(this.alpha); |
---|
| 4393 | this.cosaz=Math.cos(this.alpha); |
---|
| 4394 | |
---|
| 4395 | if (this.lat0>= 0) { |
---|
| 4396 | this.u = (this.al / this.bl) * Math.atan(Math.sqrt(this.d*this.d - 1.0)/this.cosaz); |
---|
| 4397 | } else { |
---|
| 4398 | this.u = -(this.al / this.bl) *Math.atan(Math.sqrt(this.d*this.d - 1.0)/this.cosaz); |
---|
| 4399 | } |
---|
| 4400 | } else { |
---|
| 4401 | Proj4js.reportError("omerc:Init:DataError"); |
---|
| 4402 | } |
---|
| 4403 | } else { |
---|
| 4404 | this.sinphi =Math. sin(this.at1); |
---|
| 4405 | this.ts1 = Proj4js.common.tsfnz(this.e,this.lat1,this.sinphi); |
---|
| 4406 | this.sinphi = Math.sin(this.lat2); |
---|
| 4407 | this.ts2 = Proj4js.common.tsfnz(this.e,this.lat2,this.sinphi); |
---|
| 4408 | this.h = Math.pow(this.ts1,this.bl); |
---|
| 4409 | this.l = Math.pow(this.ts2,this.bl); |
---|
| 4410 | this.f = this.el/this.h; |
---|
| 4411 | this.g = .5 * (this.f - 1.0/this.f); |
---|
| 4412 | this.j = (this.el * this.el - this.l * this.h)/(this.el * this.el + this.l * this.h); |
---|
| 4413 | this.p = (this.l - this.h) / (this.l + this.h); |
---|
| 4414 | this.dlon = this.lon1 - this.lon2; |
---|
| 4415 | if (this.dlon < -Proj4js.common.PI) this.lon2 = this.lon2 - 2.0 * Proj4js.common.PI; |
---|
| 4416 | if (this.dlon > Proj4js.common.PI) this.lon2 = this.lon2 + 2.0 * Proj4js.common.PI; |
---|
| 4417 | this.dlon = this.lon1 - this.lon2; |
---|
| 4418 | this.longc = .5 * (this.lon1 + this.lon2) -Math.atan(this.j * Math.tan(.5 * this.bl * this.dlon)/this.p)/this.bl; |
---|
| 4419 | this.dlon = Proj4js.common.adjust_lon(this.lon1 - this.longc); |
---|
| 4420 | this.gama = Math.atan(Math.sin(this.bl * this.dlon)/this.g); |
---|
| 4421 | this.alpha = Proj4js.common.asinz(this.d * Math.sin(this.gama)); |
---|
| 4422 | |
---|
| 4423 | /* Report parameters common to format A |
---|
| 4424 | -------------------------------------*/ |
---|
| 4425 | |
---|
| 4426 | if (Math.abs(this.lat1 - this.lat2) <= Proj4js.common.EPSLN) { |
---|
| 4427 | Proj4js.reportError("omercInitDataError"); |
---|
| 4428 | //return(202); |
---|
| 4429 | } else { |
---|
| 4430 | this.con = Math.abs(this.lat1); |
---|
| 4431 | } |
---|
| 4432 | if ((this.con <= Proj4js.common.EPSLN) || (Math.abs(this.con - HALF_PI) <= Proj4js.common.EPSLN)) { |
---|
| 4433 | Proj4js.reportError("omercInitDataError"); |
---|
| 4434 | //return(202); |
---|
| 4435 | } else { |
---|
| 4436 | if (Math.abs(Math.abs(this.lat0) - Proj4js.common.HALF_PI) <= Proj4js.common.EPSLN) { |
---|
| 4437 | Proj4js.reportError("omercInitDataError"); |
---|
| 4438 | //return(202); |
---|
| 4439 | } |
---|
| 4440 | } |
---|
| 4441 | |
---|
| 4442 | this.singam=Math.sin(this.gam); |
---|
| 4443 | this.cosgam=Math.cos(this.gam); |
---|
| 4444 | |
---|
| 4445 | this.sinaz=Math.sin(this.alpha); |
---|
| 4446 | this.cosaz=Math.cos(this.alpha); |
---|
| 4447 | |
---|
| 4448 | |
---|
| 4449 | if (this.lat0 >= 0) { |
---|
| 4450 | this.u = (this.al/this.bl) * Math.atan(Math.sqrt(this.d * this.d - 1.0)/this.cosaz); |
---|
| 4451 | } else { |
---|
| 4452 | this.u = -(this.al/this.bl) * Math.atan(Math.sqrt(this.d * this.d - 1.0)/this.cosaz); |
---|
| 4453 | } |
---|
| 4454 | } |
---|
| 4455 | }, |
---|
| 4456 | |
---|
| 4457 | |
---|
| 4458 | /* Oblique Mercator forward equations--mapping lat,long to x,y |
---|
| 4459 | ----------------------------------------------------------*/ |
---|
| 4460 | forward: function(p) { |
---|
| 4461 | var theta; /* angle */ |
---|
| 4462 | var sin_phi, cos_phi;/* sin and cos value */ |
---|
| 4463 | var b; /* temporary values */ |
---|
| 4464 | var c, t, tq; /* temporary values */ |
---|
| 4465 | var con, n, ml; /* cone constant, small m */ |
---|
| 4466 | var q,us,vl; |
---|
| 4467 | var ul,vs; |
---|
| 4468 | var s; |
---|
| 4469 | var dlon; |
---|
| 4470 | var ts1; |
---|
| 4471 | |
---|
| 4472 | var lon=p.x; |
---|
| 4473 | var lat=p.y; |
---|
| 4474 | /* Forward equations |
---|
| 4475 | -----------------*/ |
---|
| 4476 | sin_phi = Math.sin(lat); |
---|
| 4477 | dlon = Proj4js.common.adjust_lon(lon - this.longc); |
---|
| 4478 | vl = Math.sin(this.bl * dlon); |
---|
| 4479 | if (Math.abs(Math.abs(lat) - Proj4js.common.HALF_PI) > Proj4js.common.EPSLN) { |
---|
| 4480 | ts1 = Proj4js.common.tsfnz(this.e,lat,sin_phi); |
---|
| 4481 | q = this.el / (Math.pow(ts1,this.bl)); |
---|
| 4482 | s = .5 * (q - 1.0 / q); |
---|
| 4483 | t = .5 * (q + 1.0/ q); |
---|
| 4484 | ul = (s * this.singam - vl * this.cosgam) / t; |
---|
| 4485 | con = Math.cos(this.bl * dlon); |
---|
| 4486 | if (Math.abs(con) < .0000001) { |
---|
| 4487 | us = this.al * this.bl * dlon; |
---|
| 4488 | } else { |
---|
| 4489 | us = this.al * Math.atan((s * this.cosgam + vl * this.singam) / con)/this.bl; |
---|
| 4490 | if (con < 0) us = us + Proj4js.common.PI * this.al / this.bl; |
---|
| 4491 | } |
---|
| 4492 | } else { |
---|
| 4493 | if (lat >= 0) { |
---|
| 4494 | ul = this.singam; |
---|
| 4495 | } else { |
---|
| 4496 | ul = -this.singam; |
---|
| 4497 | } |
---|
| 4498 | us = this.al * lat / this.bl; |
---|
| 4499 | } |
---|
| 4500 | if (Math.abs(Math.abs(ul) - 1.0) <= Proj4js.common.EPSLN) { |
---|
| 4501 | //alert("Point projects into infinity","omer-for"); |
---|
| 4502 | Proj4js.reportError("omercFwdInfinity"); |
---|
| 4503 | //return(205); |
---|
| 4504 | } |
---|
| 4505 | vs = .5 * this.al * Math.log((1.0 - ul)/(1.0 + ul)) / this.bl; |
---|
| 4506 | us = us - this.u; |
---|
| 4507 | var x = this.x0 + vs * this.cosaz + us * this.sinaz; |
---|
| 4508 | var y = this.y0 + us * this.cosaz - vs * this.sinaz; |
---|
| 4509 | |
---|
| 4510 | p.x=x; |
---|
| 4511 | p.y=y; |
---|
| 4512 | return p; |
---|
| 4513 | }, |
---|
| 4514 | |
---|
| 4515 | inverse: function(p) { |
---|
| 4516 | var delta_lon; /* Delta longitude (Given longitude - center */ |
---|
| 4517 | var theta; /* angle */ |
---|
| 4518 | var delta_theta; /* adjusted longitude */ |
---|
| 4519 | var sin_phi, cos_phi;/* sin and cos value */ |
---|
| 4520 | var b; /* temporary values */ |
---|
| 4521 | var c, t, tq; /* temporary values */ |
---|
| 4522 | var con, n, ml; /* cone constant, small m */ |
---|
| 4523 | var vs,us,q,s,ts1; |
---|
| 4524 | var vl,ul,bs; |
---|
| 4525 | var dlon; |
---|
| 4526 | var flag; |
---|
| 4527 | |
---|
| 4528 | /* Inverse equations |
---|
| 4529 | -----------------*/ |
---|
| 4530 | p.x -= this.x0; |
---|
| 4531 | p.y -= this.y0; |
---|
| 4532 | flag = 0; |
---|
| 4533 | vs = p.x * this.cosaz - p.y * this.sinaz; |
---|
| 4534 | us = p.y * this.cosaz + p.x * this.sinaz; |
---|
| 4535 | us = us + this.u; |
---|
| 4536 | q = Math.exp(-this.bl * vs / this.al); |
---|
| 4537 | s = .5 * (q - 1.0/q); |
---|
| 4538 | t = .5 * (q + 1.0/q); |
---|
| 4539 | vl = Math.sin(this.bl * us / this.al); |
---|
| 4540 | ul = (vl * this.cosgam + s * this.singam)/t; |
---|
| 4541 | if (Math.abs(Math.abs(ul) - 1.0) <= Proj4js.common.EPSLN) |
---|
| 4542 | { |
---|
| 4543 | lon = this.longc; |
---|
| 4544 | if (ul >= 0.0) { |
---|
| 4545 | lat = Proj4js.common.HALF_PI; |
---|
| 4546 | } else { |
---|
| 4547 | lat = -Proj4js.common.HALF_PI; |
---|
| 4548 | } |
---|
| 4549 | } else { |
---|
| 4550 | con = 1.0 / this.bl; |
---|
| 4551 | ts1 =Math.pow((this.el / Math.sqrt((1.0 + ul) / (1.0 - ul))),con); |
---|
| 4552 | lat = Proj4js.common.phi2z(this.e,ts1); |
---|
| 4553 | //if (flag != 0) |
---|
| 4554 | //return(flag); |
---|
| 4555 | //~ con = Math.cos(this.bl * us /al); |
---|
| 4556 | theta = this.longc - Math.atan2((s * this.cosgam - vl * this.singam) , con)/this.bl; |
---|
| 4557 | lon = Proj4js.common.adjust_lon(theta); |
---|
| 4558 | } |
---|
| 4559 | p.x=lon; |
---|
| 4560 | p.y=lat; |
---|
| 4561 | return p; |
---|
| 4562 | } |
---|
| 4563 | }; |
---|
| 4564 | /* ====================================================================== |
---|
| 4565 | projCode/lcc.js |
---|
| 4566 | ====================================================================== */ |
---|
| 4567 | |
---|
| 4568 | /******************************************************************************* |
---|
| 4569 | NAME LAMBERT CONFORMAL CONIC |
---|
| 4570 | |
---|
| 4571 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 4572 | Northing for the Lambert Conformal Conic projection. The |
---|
| 4573 | longitude and latitude must be in radians. The Easting |
---|
| 4574 | and Northing values will be returned in meters. |
---|
| 4575 | |
---|
| 4576 | |
---|
| 4577 | ALGORITHM REFERENCES |
---|
| 4578 | |
---|
| 4579 | 1. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 4580 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 4581 | State Government Printing Office, Washington D.C., 1987. |
---|
| 4582 | |
---|
| 4583 | 2. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections", |
---|
| 4584 | U.S. Geological Survey Professional Paper 1453 , United State Government |
---|
| 4585 | *******************************************************************************/ |
---|
| 4586 | |
---|
| 4587 | |
---|
| 4588 | //<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 |
---|
| 4589 | |
---|
| 4590 | // Initialize the Lambert Conformal conic projection |
---|
| 4591 | // ----------------------------------------------------------------- |
---|
| 4592 | |
---|
| 4593 | //Proj4js.Proj.lcc = Class.create(); |
---|
| 4594 | Proj4js.Proj.lcc = { |
---|
| 4595 | init : function() { |
---|
| 4596 | |
---|
| 4597 | // array of: r_maj,r_min,lat1,lat2,c_lon,c_lat,false_east,false_north |
---|
| 4598 | //double c_lat; /* center latitude */ |
---|
| 4599 | //double c_lon; /* center longitude */ |
---|
| 4600 | //double lat1; /* first standard parallel */ |
---|
| 4601 | //double lat2; /* second standard parallel */ |
---|
| 4602 | //double r_maj; /* major axis */ |
---|
| 4603 | //double r_min; /* minor axis */ |
---|
| 4604 | //double false_east; /* x offset in meters */ |
---|
| 4605 | //double false_north; /* y offset in meters */ |
---|
| 4606 | |
---|
| 4607 | if (!this.lat2){this.lat2=this.lat0;}//if lat2 is not defined |
---|
| 4608 | if (!this.k0) this.k0 = 1.0; |
---|
| 4609 | |
---|
| 4610 | // Standard Parallels cannot be equal and on opposite sides of the equator |
---|
| 4611 | if (Math.abs(this.lat1+this.lat2) < Proj4js.common.EPSLN) { |
---|
| 4612 | Proj4js.reportError("lcc:init: Equal Latitudes"); |
---|
| 4613 | return; |
---|
| 4614 | } |
---|
| 4615 | |
---|
| 4616 | var temp = this.b / this.a; |
---|
| 4617 | this.e = Math.sqrt(1.0 - temp*temp); |
---|
| 4618 | |
---|
| 4619 | var sin1 = Math.sin(this.lat1); |
---|
| 4620 | var cos1 = Math.cos(this.lat1); |
---|
| 4621 | var ms1 = Proj4js.common.msfnz(this.e, sin1, cos1); |
---|
| 4622 | var ts1 = Proj4js.common.tsfnz(this.e, this.lat1, sin1); |
---|
| 4623 | |
---|
| 4624 | var sin2 = Math.sin(this.lat2); |
---|
| 4625 | var cos2 = Math.cos(this.lat2); |
---|
| 4626 | var ms2 = Proj4js.common.msfnz(this.e, sin2, cos2); |
---|
| 4627 | var ts2 = Proj4js.common.tsfnz(this.e, this.lat2, sin2); |
---|
| 4628 | |
---|
| 4629 | var ts0 = Proj4js.common.tsfnz(this.e, this.lat0, Math.sin(this.lat0)); |
---|
| 4630 | |
---|
| 4631 | if (Math.abs(this.lat1 - this.lat2) > Proj4js.common.EPSLN) { |
---|
| 4632 | this.ns = Math.log(ms1/ms2)/Math.log(ts1/ts2); |
---|
| 4633 | } else { |
---|
| 4634 | this.ns = sin1; |
---|
| 4635 | } |
---|
| 4636 | this.f0 = ms1 / (this.ns * Math.pow(ts1, this.ns)); |
---|
| 4637 | this.rh = this.a * this.f0 * Math.pow(ts0, this.ns); |
---|
| 4638 | if (!this.title) this.title = "Lambert Conformal Conic"; |
---|
| 4639 | }, |
---|
| 4640 | |
---|
| 4641 | |
---|
| 4642 | // Lambert Conformal conic forward equations--mapping lat,long to x,y |
---|
| 4643 | // ----------------------------------------------------------------- |
---|
| 4644 | forward : function(p) { |
---|
| 4645 | |
---|
| 4646 | var lon = p.x; |
---|
| 4647 | var lat = p.y; |
---|
| 4648 | |
---|
| 4649 | // convert to radians |
---|
| 4650 | if ( lat <= 90.0 && lat >= -90.0 && lon <= 180.0 && lon >= -180.0) { |
---|
| 4651 | //lon = lon * Proj4js.common.D2R; |
---|
| 4652 | //lat = lat * Proj4js.common.D2R; |
---|
| 4653 | } else { |
---|
| 4654 | Proj4js.reportError("lcc:forward: llInputOutOfRange: "+ lon +" : " + lat); |
---|
| 4655 | return null; |
---|
| 4656 | } |
---|
| 4657 | |
---|
| 4658 | var con = Math.abs( Math.abs(lat) - Proj4js.common.HALF_PI); |
---|
| 4659 | var ts, rh1; |
---|
| 4660 | if (con > Proj4js.common.EPSLN) { |
---|
| 4661 | ts = Proj4js.common.tsfnz(this.e, lat, Math.sin(lat) ); |
---|
| 4662 | rh1 = this.a * this.f0 * Math.pow(ts, this.ns); |
---|
| 4663 | } else { |
---|
| 4664 | con = lat * this.ns; |
---|
| 4665 | if (con <= 0) { |
---|
| 4666 | Proj4js.reportError("lcc:forward: No Projection"); |
---|
| 4667 | return null; |
---|
| 4668 | } |
---|
| 4669 | rh1 = 0; |
---|
| 4670 | } |
---|
| 4671 | var theta = this.ns * Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 4672 | p.x = this.k0 * (rh1 * Math.sin(theta)) + this.x0; |
---|
| 4673 | p.y = this.k0 * (this.rh - rh1 * Math.cos(theta)) + this.y0; |
---|
| 4674 | |
---|
| 4675 | return p; |
---|
| 4676 | }, |
---|
| 4677 | |
---|
| 4678 | // Lambert Conformal Conic inverse equations--mapping x,y to lat/long |
---|
| 4679 | // ----------------------------------------------------------------- |
---|
| 4680 | inverse : function(p) { |
---|
| 4681 | |
---|
| 4682 | var rh1, con, ts; |
---|
| 4683 | var lat, lon; |
---|
| 4684 | var x = (p.x - this.x0)/this.k0; |
---|
| 4685 | var y = (this.rh - (p.y - this.y0)/this.k0); |
---|
| 4686 | if (this.ns > 0) { |
---|
| 4687 | rh1 = Math.sqrt (x * x + y * y); |
---|
| 4688 | con = 1.0; |
---|
| 4689 | } else { |
---|
| 4690 | rh1 = -Math.sqrt (x * x + y * y); |
---|
| 4691 | con = -1.0; |
---|
| 4692 | } |
---|
| 4693 | var theta = 0.0; |
---|
| 4694 | if (rh1 != 0) { |
---|
| 4695 | theta = Math.atan2((con * x),(con * y)); |
---|
| 4696 | } |
---|
| 4697 | if ((rh1 != 0) || (this.ns > 0.0)) { |
---|
| 4698 | con = 1.0/this.ns; |
---|
| 4699 | ts = Math.pow((rh1/(this.a * this.f0)), con); |
---|
| 4700 | lat = Proj4js.common.phi2z(this.e, ts); |
---|
| 4701 | if (lat == -9999) return null; |
---|
| 4702 | } else { |
---|
| 4703 | lat = -Proj4js.common.HALF_PI; |
---|
| 4704 | } |
---|
| 4705 | lon = Proj4js.common.adjust_lon(theta/this.ns + this.long0); |
---|
| 4706 | |
---|
| 4707 | p.x = lon; |
---|
| 4708 | p.y = lat; |
---|
| 4709 | return p; |
---|
| 4710 | } |
---|
| 4711 | }; |
---|
| 4712 | |
---|
| 4713 | |
---|
| 4714 | |
---|
| 4715 | |
---|
| 4716 | /* ====================================================================== |
---|
| 4717 | projCode/laea.js |
---|
| 4718 | ====================================================================== */ |
---|
| 4719 | |
---|
| 4720 | /******************************************************************************* |
---|
| 4721 | NAME LAMBERT AZIMUTHAL EQUAL-AREA |
---|
| 4722 | |
---|
| 4723 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 4724 | Northing for the Lambert Azimuthal Equal-Area projection. The |
---|
| 4725 | longitude and latitude must be in radians. The Easting |
---|
| 4726 | and Northing values will be returned in meters. |
---|
| 4727 | |
---|
| 4728 | PROGRAMMER DATE |
---|
| 4729 | ---------- ---- |
---|
| 4730 | D. Steinwand, EROS March, 1991 |
---|
| 4731 | |
---|
| 4732 | This function was adapted from the Lambert Azimuthal Equal Area projection |
---|
| 4733 | code (FORTRAN) in the General Cartographic Transformation Package software |
---|
| 4734 | which is available from the U.S. Geological Survey National Mapping Division. |
---|
| 4735 | |
---|
| 4736 | ALGORITHM REFERENCES |
---|
| 4737 | |
---|
| 4738 | 1. "New Equal-Area Map Projections for Noncircular Regions", John P. Snyder, |
---|
| 4739 | The American Cartographer, Vol 15, No. 4, October 1988, pp. 341-355. |
---|
| 4740 | |
---|
| 4741 | 2. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 4742 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 4743 | State Government Printing Office, Washington D.C., 1987. |
---|
| 4744 | |
---|
| 4745 | 3. "Software Documentation for GCTP General Cartographic Transformation |
---|
| 4746 | Package", U.S. Geological Survey National Mapping Division, May 1982. |
---|
| 4747 | *******************************************************************************/ |
---|
| 4748 | |
---|
| 4749 | Proj4js.Proj.laea = { |
---|
| 4750 | S_POLE: 1, |
---|
| 4751 | N_POLE: 2, |
---|
| 4752 | EQUIT: 3, |
---|
| 4753 | OBLIQ: 4, |
---|
| 4754 | |
---|
| 4755 | |
---|
| 4756 | /* Initialize the Lambert Azimuthal Equal Area projection |
---|
| 4757 | ------------------------------------------------------*/ |
---|
| 4758 | init: function() { |
---|
| 4759 | var t = Math.abs(this.lat0); |
---|
| 4760 | if (Math.abs(t - Proj4js.common.HALF_PI) < Proj4js.common.EPSLN) { |
---|
| 4761 | this.mode = this.lat0 < 0. ? this.S_POLE : this.N_POLE; |
---|
| 4762 | } else if (Math.abs(t) < Proj4js.common.EPSLN) { |
---|
| 4763 | this.mode = this.EQUIT; |
---|
| 4764 | } else { |
---|
| 4765 | this.mode = this.OBLIQ; |
---|
| 4766 | } |
---|
| 4767 | if (this.es > 0) { |
---|
| 4768 | var sinphi; |
---|
| 4769 | |
---|
| 4770 | this.qp = Proj4js.common.qsfnz(this.e, 1.0); |
---|
| 4771 | this.mmf = .5 / (1. - this.es); |
---|
| 4772 | this.apa = this.authset(this.es); |
---|
| 4773 | switch (this.mode) { |
---|
| 4774 | case this.N_POLE: |
---|
| 4775 | case this.S_POLE: |
---|
| 4776 | this.dd = 1.; |
---|
| 4777 | break; |
---|
| 4778 | case this.EQUIT: |
---|
| 4779 | this.rq = Math.sqrt(.5 * this.qp); |
---|
| 4780 | this.dd = 1. / this.rq; |
---|
| 4781 | this.xmf = 1.; |
---|
| 4782 | this.ymf = .5 * this.qp; |
---|
| 4783 | break; |
---|
| 4784 | case this.OBLIQ: |
---|
| 4785 | this.rq = Math.sqrt(.5 * this.qp); |
---|
| 4786 | sinphi = Math.sin(this.lat0); |
---|
| 4787 | this.sinb1 = Proj4js.common.qsfnz(this.e, sinphi) / this.qp; |
---|
| 4788 | this.cosb1 = Math.sqrt(1. - this.sinb1 * this.sinb1); |
---|
| 4789 | this.dd = Math.cos(this.lat0) / (Math.sqrt(1. - this.es * sinphi * sinphi) * this.rq * this.cosb1); |
---|
| 4790 | this.ymf = (this.xmf = this.rq) / this.dd; |
---|
| 4791 | this.xmf *= this.dd; |
---|
| 4792 | break; |
---|
| 4793 | } |
---|
| 4794 | } else { |
---|
| 4795 | if (this.mode == this.OBLIQ) { |
---|
| 4796 | this.sinph0 = Math.sin(this.lat0); |
---|
| 4797 | this.cosph0 = Math.cos(this.lat0); |
---|
| 4798 | } |
---|
| 4799 | } |
---|
| 4800 | }, |
---|
| 4801 | |
---|
| 4802 | /* Lambert Azimuthal Equal Area forward equations--mapping lat,long to x,y |
---|
| 4803 | -----------------------------------------------------------------------*/ |
---|
| 4804 | forward: function(p) { |
---|
| 4805 | |
---|
| 4806 | /* Forward equations |
---|
| 4807 | -----------------*/ |
---|
| 4808 | var x,y; |
---|
| 4809 | var lam=p.x; |
---|
| 4810 | var phi=p.y; |
---|
| 4811 | lam = Proj4js.common.adjust_lon(lam - this.long0); |
---|
| 4812 | |
---|
| 4813 | if (this.sphere) { |
---|
| 4814 | var coslam, cosphi, sinphi; |
---|
| 4815 | |
---|
| 4816 | sinphi = Math.sin(phi); |
---|
| 4817 | cosphi = Math.cos(phi); |
---|
| 4818 | coslam = Math.cos(lam); |
---|
| 4819 | switch (this.mode) { |
---|
| 4820 | case this.OBLIQ: |
---|
| 4821 | case this.EQUIT: |
---|
| 4822 | y = (this.mode == this.EQUIT) ? 1. + cosphi * coslam : 1. + this.sinph0 * sinphi + this.cosph0 * cosphi * coslam; |
---|
| 4823 | if (y <= Proj4js.common.EPSLN) { |
---|
| 4824 | Proj4js.reportError("laea:fwd:y less than eps"); |
---|
| 4825 | return null; |
---|
| 4826 | } |
---|
| 4827 | y = Math.sqrt(2. / y); |
---|
| 4828 | x = y * cosphi * Math.sin(lam); |
---|
| 4829 | y *= (this.mode == this.EQUIT) ? sinphi : this.cosph0 * sinphi - this.sinph0 * cosphi * coslam; |
---|
| 4830 | break; |
---|
| 4831 | case this.N_POLE: |
---|
| 4832 | coslam = -coslam; |
---|
| 4833 | case this.S_POLE: |
---|
| 4834 | if (Math.abs(phi + this.phi0) < Proj4js.common.EPSLN) { |
---|
| 4835 | Proj4js.reportError("laea:fwd:phi < eps"); |
---|
| 4836 | return null; |
---|
| 4837 | } |
---|
| 4838 | y = Proj4js.common.FORTPI - phi * .5; |
---|
| 4839 | y = 2. * ((this.mode == this.S_POLE) ? Math.cos(y) : Math.sin(y)); |
---|
| 4840 | x = y * Math.sin(lam); |
---|
| 4841 | y *= coslam; |
---|
| 4842 | break; |
---|
| 4843 | } |
---|
| 4844 | } else { |
---|
| 4845 | var coslam, sinlam, sinphi, q, sinb=0.0, cosb=0.0, b=0.0; |
---|
| 4846 | |
---|
| 4847 | coslam = Math.cos(lam); |
---|
| 4848 | sinlam = Math.sin(lam); |
---|
| 4849 | sinphi = Math.sin(phi); |
---|
| 4850 | q = Proj4js.common.qsfnz(this.e, sinphi); |
---|
| 4851 | if (this.mode == this.OBLIQ || this.mode == this.EQUIT) { |
---|
| 4852 | sinb = q / this.qp; |
---|
| 4853 | cosb = Math.sqrt(1. - sinb * sinb); |
---|
| 4854 | } |
---|
| 4855 | switch (this.mode) { |
---|
| 4856 | case this.OBLIQ: |
---|
| 4857 | b = 1. + this.sinb1 * sinb + this.cosb1 * cosb * coslam; |
---|
| 4858 | break; |
---|
| 4859 | case this.EQUIT: |
---|
| 4860 | b = 1. + cosb * coslam; |
---|
| 4861 | break; |
---|
| 4862 | case this.N_POLE: |
---|
| 4863 | b = Proj4js.common.HALF_PI + phi; |
---|
| 4864 | q = this.qp - q; |
---|
| 4865 | break; |
---|
| 4866 | case this.S_POLE: |
---|
| 4867 | b = phi - Proj4js.common.HALF_PI; |
---|
| 4868 | q = this.qp + q; |
---|
| 4869 | break; |
---|
| 4870 | } |
---|
| 4871 | if (Math.abs(b) < Proj4js.common.EPSLN) { |
---|
| 4872 | Proj4js.reportError("laea:fwd:b < eps"); |
---|
| 4873 | return null; |
---|
| 4874 | } |
---|
| 4875 | switch (this.mode) { |
---|
| 4876 | case this.OBLIQ: |
---|
| 4877 | case this.EQUIT: |
---|
| 4878 | b = Math.sqrt(2. / b); |
---|
| 4879 | if (this.mode == this.OBLIQ) { |
---|
| 4880 | y = this.ymf * b * (this.cosb1 * sinb - this.sinb1 * cosb * coslam); |
---|
| 4881 | } else { |
---|
| 4882 | y = (b = Math.sqrt(2. / (1. + cosb * coslam))) * sinb * this.ymf; |
---|
| 4883 | } |
---|
| 4884 | x = this.xmf * b * cosb * sinlam; |
---|
| 4885 | break; |
---|
| 4886 | case this.N_POLE: |
---|
| 4887 | case this.S_POLE: |
---|
| 4888 | if (q >= 0.) { |
---|
| 4889 | x = (b = Math.sqrt(q)) * sinlam; |
---|
| 4890 | y = coslam * ((this.mode == this.S_POLE) ? b : -b); |
---|
| 4891 | } else { |
---|
| 4892 | x = y = 0.; |
---|
| 4893 | } |
---|
| 4894 | break; |
---|
| 4895 | } |
---|
| 4896 | } |
---|
| 4897 | |
---|
| 4898 | //v 1.0 |
---|
| 4899 | /* |
---|
| 4900 | var sin_lat=Math.sin(lat); |
---|
| 4901 | var cos_lat=Math.cos(lat); |
---|
| 4902 | |
---|
| 4903 | var sin_delta_lon=Math.sin(delta_lon); |
---|
| 4904 | var cos_delta_lon=Math.cos(delta_lon); |
---|
| 4905 | |
---|
| 4906 | var g =this.sin_lat_o * sin_lat +this.cos_lat_o * cos_lat * cos_delta_lon; |
---|
| 4907 | if (g == -1.0) { |
---|
| 4908 | Proj4js.reportError("laea:fwd:Point projects to a circle of radius "+ 2.0 * R); |
---|
| 4909 | return null; |
---|
| 4910 | } |
---|
| 4911 | var ksp = this.a * Math.sqrt(2.0 / (1.0 + g)); |
---|
| 4912 | var x = ksp * cos_lat * sin_delta_lon + this.x0; |
---|
| 4913 | var y = ksp * (this.cos_lat_o * sin_lat - this.sin_lat_o * cos_lat * cos_delta_lon) + this.y0; |
---|
| 4914 | */ |
---|
| 4915 | p.x = this.a*x + this.x0; |
---|
| 4916 | p.y = this.a*y + this.y0; |
---|
| 4917 | return p; |
---|
| 4918 | },//lamazFwd() |
---|
| 4919 | |
---|
| 4920 | /* Inverse equations |
---|
| 4921 | -----------------*/ |
---|
| 4922 | inverse: function(p) { |
---|
| 4923 | p.x -= this.x0; |
---|
| 4924 | p.y -= this.y0; |
---|
| 4925 | var x = p.x/this.a; |
---|
| 4926 | var y = p.y/this.a; |
---|
| 4927 | |
---|
| 4928 | if (this.sphere) { |
---|
| 4929 | var cosz=0.0, rh, sinz=0.0; |
---|
| 4930 | |
---|
| 4931 | rh = Math.sqrt(x*x + y*y); |
---|
| 4932 | var phi = rh * .5; |
---|
| 4933 | if (phi > 1.) { |
---|
| 4934 | Proj4js.reportError("laea:Inv:DataError"); |
---|
| 4935 | return null; |
---|
| 4936 | } |
---|
| 4937 | phi = 2. * Math.asin(phi); |
---|
| 4938 | if (this.mode == this.OBLIQ || this.mode == this.EQUIT) { |
---|
| 4939 | sinz = Math.sin(phi); |
---|
| 4940 | cosz = Math.cos(phi); |
---|
| 4941 | } |
---|
| 4942 | switch (this.mode) { |
---|
| 4943 | case this.EQUIT: |
---|
| 4944 | phi = (Math.abs(rh) <= Proj4js.common.EPSLN) ? 0. : Math.asin(y * sinz / rh); |
---|
| 4945 | x *= sinz; |
---|
| 4946 | y = cosz * rh; |
---|
| 4947 | break; |
---|
| 4948 | case this.OBLIQ: |
---|
| 4949 | phi = (Math.abs(rh) <= Proj4js.common.EPSLN) ? this.phi0 : Math.asin(cosz * sinph0 + y * sinz * cosph0 / rh); |
---|
| 4950 | x *= sinz * cosph0; |
---|
| 4951 | y = (cosz - Math.sin(phi) * sinph0) * rh; |
---|
| 4952 | break; |
---|
| 4953 | case this.N_POLE: |
---|
| 4954 | y = -y; |
---|
| 4955 | phi = Proj4js.common.HALF_PI - phi; |
---|
| 4956 | break; |
---|
| 4957 | case this.S_POLE: |
---|
| 4958 | phi -= Proj4js.common.HALF_PI; |
---|
| 4959 | break; |
---|
| 4960 | } |
---|
| 4961 | lam = (y == 0. && (this.mode == this.EQUIT || this.mode == this.OBLIQ)) ? 0. : Math.atan2(x, y); |
---|
| 4962 | } else { |
---|
| 4963 | var cCe, sCe, q, rho, ab=0.0; |
---|
| 4964 | |
---|
| 4965 | switch (this.mode) { |
---|
| 4966 | case this.EQUIT: |
---|
| 4967 | case this.OBLIQ: |
---|
| 4968 | x /= this.dd; |
---|
| 4969 | y *= this.dd; |
---|
| 4970 | rho = Math.sqrt(x*x + y*y); |
---|
| 4971 | if (rho < Proj4js.common.EPSLN) { |
---|
| 4972 | p.x = 0.; |
---|
| 4973 | p.y = this.phi0; |
---|
| 4974 | return p; |
---|
| 4975 | } |
---|
| 4976 | sCe = 2. * Math.asin(.5 * rho / this.rq); |
---|
| 4977 | cCe = Math.cos(sCe); |
---|
| 4978 | x *= (sCe = Math.sin(sCe)); |
---|
| 4979 | if (this.mode == this.OBLIQ) { |
---|
| 4980 | ab = cCe * this.sinb1 + y * sCe * this.cosb1 / rho |
---|
| 4981 | q = this.qp * ab; |
---|
| 4982 | y = rho * this.cosb1 * cCe - y * this.sinb1 * sCe; |
---|
| 4983 | } else { |
---|
| 4984 | ab = y * sCe / rho; |
---|
| 4985 | q = this.qp * ab; |
---|
| 4986 | y = rho * cCe; |
---|
| 4987 | } |
---|
| 4988 | break; |
---|
| 4989 | case this.N_POLE: |
---|
| 4990 | y = -y; |
---|
| 4991 | case this.S_POLE: |
---|
| 4992 | q = (x * x + y * y); |
---|
| 4993 | if (!q ) { |
---|
| 4994 | p.x = 0.; |
---|
| 4995 | p.y = this.phi0; |
---|
| 4996 | return p; |
---|
| 4997 | } |
---|
| 4998 | /* |
---|
| 4999 | q = this.qp - q; |
---|
| 5000 | */ |
---|
| 5001 | ab = 1. - q / this.qp; |
---|
| 5002 | if (this.mode == this.S_POLE) { |
---|
| 5003 | ab = - ab; |
---|
| 5004 | } |
---|
| 5005 | break; |
---|
| 5006 | } |
---|
| 5007 | lam = Math.atan2(x, y); |
---|
| 5008 | phi = this.authlat(Math.asin(ab), this.apa); |
---|
| 5009 | } |
---|
| 5010 | |
---|
| 5011 | /* |
---|
| 5012 | var Rh = Math.Math.sqrt(p.x *p.x +p.y * p.y); |
---|
| 5013 | var temp = Rh / (2.0 * this.a); |
---|
| 5014 | |
---|
| 5015 | if (temp > 1) { |
---|
| 5016 | Proj4js.reportError("laea:Inv:DataError"); |
---|
| 5017 | return null; |
---|
| 5018 | } |
---|
| 5019 | |
---|
| 5020 | var z = 2.0 * Proj4js.common.asinz(temp); |
---|
| 5021 | var sin_z=Math.sin(z); |
---|
| 5022 | var cos_z=Math.cos(z); |
---|
| 5023 | |
---|
| 5024 | var lon =this.long0; |
---|
| 5025 | if (Math.abs(Rh) > Proj4js.common.EPSLN) { |
---|
| 5026 | var lat = Proj4js.common.asinz(this.sin_lat_o * cos_z +this. cos_lat_o * sin_z *p.y / Rh); |
---|
| 5027 | var temp =Math.abs(this.lat0) - Proj4js.common.HALF_PI; |
---|
| 5028 | if (Math.abs(temp) > Proj4js.common.EPSLN) { |
---|
| 5029 | temp = cos_z -this.sin_lat_o * Math.sin(lat); |
---|
| 5030 | if(temp!=0.0) lon=Proj4js.common.adjust_lon(this.long0+Math.atan2(p.x*sin_z*this.cos_lat_o,temp*Rh)); |
---|
| 5031 | } else if (this.lat0 < 0.0) { |
---|
| 5032 | lon = Proj4js.common.adjust_lon(this.long0 - Math.atan2(-p.x,p.y)); |
---|
| 5033 | } else { |
---|
| 5034 | lon = Proj4js.common.adjust_lon(this.long0 + Math.atan2(p.x, -p.y)); |
---|
| 5035 | } |
---|
| 5036 | } else { |
---|
| 5037 | lat = this.lat0; |
---|
| 5038 | } |
---|
| 5039 | */ |
---|
| 5040 | //return(OK); |
---|
| 5041 | p.x = Proj4js.common.adjust_lon(this.long0+lam); |
---|
| 5042 | p.y = phi; |
---|
| 5043 | return p; |
---|
| 5044 | },//lamazInv() |
---|
| 5045 | |
---|
| 5046 | /* determine latitude from authalic latitude */ |
---|
| 5047 | P00: .33333333333333333333, |
---|
| 5048 | P01: .17222222222222222222, |
---|
| 5049 | P02: .10257936507936507936, |
---|
| 5050 | P10: .06388888888888888888, |
---|
| 5051 | P11: .06640211640211640211, |
---|
| 5052 | P20: .01641501294219154443, |
---|
| 5053 | |
---|
| 5054 | authset: function(es) { |
---|
| 5055 | var t; |
---|
| 5056 | var APA = new Array(); |
---|
| 5057 | APA[0] = es * this.P00; |
---|
| 5058 | t = es * es; |
---|
| 5059 | APA[0] += t * this.P01; |
---|
| 5060 | APA[1] = t * this.P10; |
---|
| 5061 | t *= es; |
---|
| 5062 | APA[0] += t * this.P02; |
---|
| 5063 | APA[1] += t * this.P11; |
---|
| 5064 | APA[2] = t * this.P20; |
---|
| 5065 | return APA; |
---|
| 5066 | }, |
---|
| 5067 | |
---|
| 5068 | authlat: function(beta, APA) { |
---|
| 5069 | var t = beta+beta; |
---|
| 5070 | return(beta + APA[0] * Math.sin(t) + APA[1] * Math.sin(t+t) + APA[2] * Math.sin(t+t+t)); |
---|
| 5071 | } |
---|
| 5072 | |
---|
| 5073 | }; |
---|
| 5074 | |
---|
| 5075 | |
---|
| 5076 | |
---|
| 5077 | /* ====================================================================== |
---|
| 5078 | projCode/aeqd.js |
---|
| 5079 | ====================================================================== */ |
---|
| 5080 | |
---|
| 5081 | Proj4js.Proj.aeqd = { |
---|
| 5082 | |
---|
| 5083 | init : function() { |
---|
| 5084 | this.sin_p12=Math.sin(this.lat0); |
---|
| 5085 | this.cos_p12=Math.cos(this.lat0); |
---|
| 5086 | }, |
---|
| 5087 | |
---|
| 5088 | forward: function(p) { |
---|
| 5089 | var lon=p.x; |
---|
| 5090 | var lat=p.y; |
---|
| 5091 | var ksp; |
---|
| 5092 | |
---|
| 5093 | var sinphi=Math.sin(p.y); |
---|
| 5094 | var cosphi=Math.cos(p.y); |
---|
| 5095 | var dlon = Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 5096 | var coslon = Math.cos(dlon); |
---|
| 5097 | var g = this.sin_p12 * sinphi + this.cos_p12 * cosphi * coslon; |
---|
| 5098 | if (Math.abs(Math.abs(g) - 1.0) < Proj4js.common.EPSLN) { |
---|
| 5099 | ksp = 1.0; |
---|
| 5100 | if (g < 0.0) { |
---|
| 5101 | Proj4js.reportError("aeqd:Fwd:PointError"); |
---|
| 5102 | return; |
---|
| 5103 | } |
---|
| 5104 | } else { |
---|
| 5105 | var z = Math.acos(g); |
---|
| 5106 | ksp = z/Math.sin(z); |
---|
| 5107 | } |
---|
| 5108 | p.x = this.x0 + this.a * ksp * cosphi * Math.sin(dlon); |
---|
| 5109 | p.y = this.y0 + this.a * ksp * (this.cos_p12 * sinphi - this.sin_p12 * cosphi * coslon); |
---|
| 5110 | return p; |
---|
| 5111 | }, |
---|
| 5112 | |
---|
| 5113 | inverse: function(p){ |
---|
| 5114 | p.x -= this.x0; |
---|
| 5115 | p.y -= this.y0; |
---|
| 5116 | |
---|
| 5117 | var rh = Math.sqrt(p.x * p.x + p.y *p.y); |
---|
| 5118 | if (rh > (2.0 * Proj4js.common.HALF_PI * this.a)) { |
---|
| 5119 | Proj4js.reportError("aeqdInvDataError"); |
---|
| 5120 | return; |
---|
| 5121 | } |
---|
| 5122 | var z = rh / this.a; |
---|
| 5123 | |
---|
| 5124 | var sinz=Math.sin(z); |
---|
| 5125 | var cosz=Math.cos(z); |
---|
| 5126 | |
---|
| 5127 | var lon = this.long0; |
---|
| 5128 | var lat; |
---|
| 5129 | if (Math.abs(rh) <= Proj4js.common.EPSLN) { |
---|
| 5130 | lat = this.lat0; |
---|
| 5131 | } else { |
---|
| 5132 | lat = Proj4js.common.asinz(cosz * this.sin_p12 + (p.y * sinz * this.cos_p12) / rh); |
---|
| 5133 | var con = Math.abs(this.lat0) - Proj4js.common.HALF_PI; |
---|
| 5134 | if (Math.abs(con) <= Proj4js.common.EPSLN) { |
---|
| 5135 | if (lat0 >= 0.0) { |
---|
| 5136 | lon = Proj4js.common.adjust_lon(this.long0 + Math.atan2(p.x , -p.y)); |
---|
| 5137 | } else { |
---|
| 5138 | lon = Proj4js.common.adjust_lon(this.long0 - Math.atan2(-p.x , p.y)); |
---|
| 5139 | } |
---|
| 5140 | } else { |
---|
| 5141 | con = cosz - this.sin_p12 * Math.sin(lat); |
---|
| 5142 | if ((Math.abs(con) < Proj4js.common.EPSLN) && (Math.abs(p.x) < Proj4js.common.EPSLN)) { |
---|
| 5143 | //no-op, just keep the lon value as is |
---|
| 5144 | } else { |
---|
| 5145 | var temp = Math.atan2((p.x * sinz * this.cos_p12), (con * rh)); |
---|
| 5146 | lon = Proj4js.common.adjust_lon(this.long0 + Math.atan2((p.x * sinz * this.cos_p12), (con * rh))); |
---|
| 5147 | } |
---|
| 5148 | } |
---|
| 5149 | } |
---|
| 5150 | |
---|
| 5151 | p.x = lon; |
---|
| 5152 | p.y = lat; |
---|
| 5153 | return p; |
---|
| 5154 | } |
---|
| 5155 | }; |
---|
| 5156 | /* ====================================================================== |
---|
| 5157 | projCode/moll.js |
---|
| 5158 | ====================================================================== */ |
---|
| 5159 | |
---|
| 5160 | /******************************************************************************* |
---|
| 5161 | NAME MOLLWEIDE |
---|
| 5162 | |
---|
| 5163 | PURPOSE: Transforms input longitude and latitude to Easting and |
---|
| 5164 | Northing for the MOllweide projection. The |
---|
| 5165 | longitude and latitude must be in radians. The Easting |
---|
| 5166 | and Northing values will be returned in meters. |
---|
| 5167 | |
---|
| 5168 | PROGRAMMER DATE |
---|
| 5169 | ---------- ---- |
---|
| 5170 | D. Steinwand, EROS May, 1991; Updated Sept, 1992; Updated Feb, 1993 |
---|
| 5171 | S. Nelson, EDC Jun, 2993; Made corrections in precision and |
---|
| 5172 | number of iterations. |
---|
| 5173 | |
---|
| 5174 | ALGORITHM REFERENCES |
---|
| 5175 | |
---|
| 5176 | 1. Snyder, John P. and Voxland, Philip M., "An Album of Map Projections", |
---|
| 5177 | U.S. Geological Survey Professional Paper 1453 , United State Government |
---|
| 5178 | Printing Office, Washington D.C., 1989. |
---|
| 5179 | |
---|
| 5180 | 2. Snyder, John P., "Map Projections--A Working Manual", U.S. Geological |
---|
| 5181 | Survey Professional Paper 1395 (Supersedes USGS Bulletin 1532), United |
---|
| 5182 | State Government Printing Office, Washington D.C., 1987. |
---|
| 5183 | *******************************************************************************/ |
---|
| 5184 | |
---|
| 5185 | Proj4js.Proj.moll = { |
---|
| 5186 | |
---|
| 5187 | /* Initialize the Mollweide projection |
---|
| 5188 | ------------------------------------*/ |
---|
| 5189 | init: function(){ |
---|
| 5190 | //no-op |
---|
| 5191 | }, |
---|
| 5192 | |
---|
| 5193 | /* Mollweide forward equations--mapping lat,long to x,y |
---|
| 5194 | ----------------------------------------------------*/ |
---|
| 5195 | forward: function(p) { |
---|
| 5196 | |
---|
| 5197 | /* Forward equations |
---|
| 5198 | -----------------*/ |
---|
| 5199 | var lon=p.x; |
---|
| 5200 | var lat=p.y; |
---|
| 5201 | |
---|
| 5202 | var delta_lon = Proj4js.common.adjust_lon(lon - this.long0); |
---|
| 5203 | var theta = lat; |
---|
| 5204 | var con = Proj4js.common.PI * Math.sin(lat); |
---|
| 5205 | |
---|
| 5206 | /* Iterate using the Newton-Raphson method to find theta |
---|
| 5207 | -----------------------------------------------------*/ |
---|
| 5208 | for (var i=0;true;i++) { |
---|
| 5209 | var delta_theta = -(theta + Math.sin(theta) - con)/ (1.0 + Math.cos(theta)); |
---|
| 5210 | theta += delta_theta; |
---|
| 5211 | if (Math.abs(delta_theta) < Proj4js.common.EPSLN) break; |
---|
| 5212 | if (i >= 50) { |
---|
| 5213 | Proj4js.reportError("moll:Fwd:IterationError"); |
---|
| 5214 | //return(241); |
---|
| 5215 | } |
---|
| 5216 | } |
---|
| 5217 | theta /= 2.0; |
---|
| 5218 | |
---|
| 5219 | /* If the latitude is 90 deg, force the x coordinate to be "0 + false easting" |
---|
| 5220 | this is done here because of precision problems with "cos(theta)" |
---|
| 5221 | --------------------------------------------------------------------------*/ |
---|
| 5222 | if (Proj4js.common.PI/2 - Math.abs(lat) < Proj4js.common.EPSLN) delta_lon =0; |
---|
| 5223 | var x = 0.900316316158 * this.a * delta_lon * Math.cos(theta) + this.x0; |
---|
| 5224 | var y = 1.4142135623731 * this.a * Math.sin(theta) + this.y0; |
---|
| 5225 | |
---|
| 5226 | p.x=x; |
---|
| 5227 | p.y=y; |
---|
| 5228 | return p; |
---|
| 5229 | }, |
---|
| 5230 | |
---|
| 5231 | inverse: function(p){ |
---|
| 5232 | var theta; |
---|
| 5233 | var arg; |
---|
| 5234 | |
---|
| 5235 | /* Inverse equations |
---|
| 5236 | -----------------*/ |
---|
| 5237 | p.x-= this.x0; |
---|
| 5238 | //~ p.y -= this.y0; |
---|
| 5239 | var arg = p.y / (1.4142135623731 * this.a); |
---|
| 5240 | |
---|
| 5241 | /* Because of division by zero problems, 'arg' can not be 1.0. Therefore |
---|
| 5242 | a number very close to one is used instead. |
---|
| 5243 | -------------------------------------------------------------------*/ |
---|
| 5244 | if(Math.abs(arg) > 0.999999999999) arg=0.999999999999; |
---|
| 5245 | var theta =Math.asin(arg); |
---|
| 5246 | var lon = Proj4js.common.adjust_lon(this.long0 + (p.x / (0.900316316158 * this.a * Math.cos(theta)))); |
---|
| 5247 | if(lon < (-Proj4js.common.PI)) lon= -Proj4js.common.PI; |
---|
| 5248 | if(lon > Proj4js.common.PI) lon= Proj4js.common.PI; |
---|
| 5249 | arg = (2.0 * theta + Math.sin(2.0 * theta)) / Proj4js.common.PI; |
---|
| 5250 | if(Math.abs(arg) > 1.0)arg=1.0; |
---|
| 5251 | var lat = Math.asin(arg); |
---|
| 5252 | //return(OK); |
---|
| 5253 | |
---|
| 5254 | p.x=lon; |
---|
| 5255 | p.y=lat; |
---|
| 5256 | return p; |
---|
| 5257 | } |
---|
| 5258 | }; |
---|
| 5259 | |
---|