/usr/share/doc/geographiclib/html/classGeographicLib_1_1LambertConformalConic.html is in geographiclib-tools 1.8-2.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 | <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<title>GeographicLib: GeographicLib::LambertConformalConic Class Reference</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<link href="doxygen.css" rel="stylesheet" type="text/css"/>
</head>
<body>
<!-- Generated by Doxygen 1.7.1 -->
<div class="navigation" id="top">
<div class="tabs">
<ul class="tablist">
<li><a href="index.html"><span>Main Page</span></a></li>
<li><a href="pages.html"><span>Related Pages</span></a></li>
<li><a href="namespaces.html"><span>Namespaces</span></a></li>
<li class="current"><a href="annotated.html"><span>Classes</span></a></li>
<li><a href="files.html"><span>Files</span></a></li>
<li><a href="dirs.html"><span>Directories</span></a></li>
</ul>
</div>
<div class="tabs2">
<ul class="tablist">
<li><a href="annotated.html"><span>Class List</span></a></li>
<li><a href="functions.html"><span>Class Members</span></a></li>
</ul>
</div>
<div class="navpath">
<ul>
<li><a class="el" href="namespaceGeographicLib.html">GeographicLib</a> </li>
<li><a class="el" href="classGeographicLib_1_1LambertConformalConic.html">GeographicLib::LambertConformalConic</a> </li>
</ul>
</div>
</div>
<div class="header">
<div class="summary">
<a href="#pub-methods">Public Member Functions</a> |
<a href="#pub-static-attribs">Static Public Attributes</a> </div>
<div class="headertitle">
<h1>GeographicLib::LambertConformalConic Class Reference</h1> </div>
</div>
<div class="contents">
<!-- doxytag: class="GeographicLib::LambertConformalConic" -->
<p>Lambert Conformal Conic Projection.
<a href="#_details">More...</a></p>
<p><code>#include <<a class="el" href="LambertConformalConic_8hpp_source.html">GeographicLib/LambertConformalConic.hpp</a>></code></p>
<p><a href="classGeographicLib_1_1LambertConformalConic-members.html">List of all members.</a></p>
<table class="memberdecls">
<tr><td colspan="2"><h2><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a9270bac79ef919854a4524044128a4dc">LambertConformalConic</a> (real a, real r, real stdlat, real k0)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#af1baa3a7d0baf13819eab9e0683c67d8">LambertConformalConic</a> (real a, real r, real stdlat1, real stdlat2, real k1)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#aaa5a355306f2e1b18d02dd04ab69cfb5">LambertConformalConic</a> (real a, real r, real sinlat1, real coslat1, real sinlat2, real coslat2, real k1)</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#aac6267f7f970b35043b17e12e4163ff2">SetScale</a> (real lat, real k=real(1))</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a2bafb6c1a81d4b6cf04f172b9e96278c">Forward</a> (real lon0, real lat, real lon, real &x, real &y, real &gamma, real &k) const throw ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a085d37693f5e95fd650b7f59f61ab744">Reverse</a> (real lon0, real x, real y, real &lat, real &lon, real &gamma, real &k) const throw ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a14a3757d85e81488afe476f7ceb8a720">Forward</a> (real lon0, real lat, real lon, real &x, real &y) const throw ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a1bffe1259895569e6834a4b1df9b22ab">Reverse</a> (real lon0, real x, real y, real &lat, real &lon) const throw ()</td></tr>
<tr><td colspan="2"><div class="groupHeader">Inspector functions</div></td></tr>
<tr><td colspan="2"><div class="groupText"><p><a class="anchor" id="amgrp59c92495387f56c5711d0f52918a49b2"></a> </p>
</div></td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classGeographicLib_1_1Math.html#aeee4778d7cf2f9fb9648efe4911da59d">Math::real</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a21f9bc21f3f40c56d2f5d12fb4b7f75a">MajorRadius</a> () const throw ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classGeographicLib_1_1Math.html#aeee4778d7cf2f9fb9648efe4911da59d">Math::real</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a2dcd66922112771c232d686e7bcc5f31">InverseFlattening</a> () const throw ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classGeographicLib_1_1Math.html#aeee4778d7cf2f9fb9648efe4911da59d">Math::real</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a7c589335b43b2274d3a68c0f68f29d77">OriginLatitude</a> () const throw ()</td></tr>
<tr><td class="memItemLeft" align="right" valign="top"><a class="el" href="classGeographicLib_1_1Math.html#aeee4778d7cf2f9fb9648efe4911da59d">Math::real</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a2298a4e48e550cfd7346cf5f2dd175ad">CentralScale</a> () const throw ()</td></tr>
<tr><td colspan="2"><h2><a name="pub-static-attribs"></a>
Static Public Attributes</h2></td></tr>
<tr><td class="memItemLeft" align="right" valign="top">static const <a class="el" href="classGeographicLib_1_1LambertConformalConic.html">LambertConformalConic</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a7fbb6973b77593245db52c9759740f9a">Mercator</a></td></tr>
</table>
<hr/><a name="_details"></a><h2>Detailed Description</h2>
<p>Lambert Conformal Conic Projection. </p>
<p>Implementation taken from the report,</p>
<ul>
<li>J. P. Snyder, <a href="http://pubs.er.usgs.gov/usgspubs/pp/pp1395">Map Projections: A Working Manual</a>, USGS Professional Paper 1395 (1987), pp. 107–109.</li>
</ul>
<p>This is a implementation of the equations in Snyder except that divided differences have been used to transform the expressions into ones which may be evaluated accurately and that Newton's method is used to invert the projection. In this implementation, the projection correctly becomes the Mercator projection or the polar sterographic projection when the standard latitude is the equator or a pole. The accuracy of the projections is about 10 nm.</p>
<p>The ellipsoid parameters, the standard parallels, and the scale on the standard parallels are set in the constructor. Internally, the case with two standard parallels is converted into a single standard parallel, the latitude of tangency (also the latitude of minimum scale), with a scale specified on this parallel. This latitude is also used as the latitude of origin which is returned by <a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a7c589335b43b2274d3a68c0f68f29d77">LambertConformalConic::OriginLatitude</a>. The scale on the latitude of origin is given by <a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a2298a4e48e550cfd7346cf5f2dd175ad">LambertConformalConic::CentralScale</a>. The case with two distinct standard parallels where one is a pole is singular and is disallowed. The central meridian (which is a trivial shift of the longitude) is specified as the <em>lon0</em> argument of the <a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a2bafb6c1a81d4b6cf04f172b9e96278c">LambertConformalConic::Forward</a> and <a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a085d37693f5e95fd650b7f59f61ab744">LambertConformalConic::Reverse</a> functions. There is no provision in this class for specifying a false easting or false northing or a different latitude of origin. However these are can be simply included by the calling function. For example the Pennsylvania South state coordinate system (<a href="http://www.spatialreference.org/ref/epsg/3364/">EPSG:3364</a>) is obtained by: </p>
<div class="fragment"><pre class="fragment"> <span class="keyword">const</span> <span class="keywordtype">double</span>
a = GeographicLib::Constants::WGS84_a<double>(),
r = 298.257222101, <span class="comment">// GRS80</span>
lat1 = 39 + 56/60.0, lat1 = 40 + 58/60.0, <span class="comment">// standard parallels</span>
k1 = 1, <span class="comment">// scale</span>
lat0 = 39 + 20/60.0, lon0 = 75 + 45/60.0, <span class="comment">// origin</span>
fe = 600000, fn = 0; <span class="comment">// false easting and northing</span>
<span class="comment">// Set up basic projection</span>
<span class="keyword">const</span> <a class="code" href="classGeographicLib_1_1LambertConformalConic.html" title="Lambert Conformal Conic Projection.">GeographicLib::LambertConformalConic</a> PASouth(a, r, lat1, lat2, k1);
<span class="keywordtype">double</span> x0, y0;
{
<span class="comment">// Transform origin point</span>
PASouth.Forward(lon0, lat0, lon0, x0, y0);
x0 -= fe; y0 -= fn; <span class="comment">// Combine result with false origin</span>
}
<span class="keywordtype">double</span> lat, lon, x, y;
<span class="comment">// Sample conversion from geodetic to PASouth grid</span>
std::cin >> lat >> lon;
PASouth.Forward(lon0, lat, lon, x, y);
x -= x0; y -= y0;
std::cout << x << <span class="stringliteral">" "</span> << y << <span class="stringliteral">"\n"</span>;
<span class="comment">// Sample conversion from PASouth grid to geodetic</span>
std::cin >> x >> y;
x += x0; y += y0;
PASouth.Reverse(lon0, x, y, lat, lon);
std::cout << lat << <span class="stringliteral">" "</span> << lon << <span class="stringliteral">"\n"</span>;
</pre></div>
<p>Definition at line <a class="el" href="LambertConformalConic_8hpp_source.html#l00081">81</a> of file <a class="el" href="LambertConformalConic_8hpp_source.html">LambertConformalConic.hpp</a>.</p>
<hr/><h2>Constructor & Destructor Documentation</h2>
<a class="anchor" id="a9270bac79ef919854a4524044128a4dc"></a><!-- doxytag: member="GeographicLib::LambertConformalConic::LambertConformalConic" ref="a9270bac79ef919854a4524044128a4dc" args="(real a, real r, real stdlat, real k0)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">GeographicLib::LambertConformalConic::LambertConformalConic </td>
<td>(</td>
<td class="paramtype">real </td>
<td class="paramname"> <em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>stdlat</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>k0</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Constructor with a single standard parallel.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>a</em> </td><td>equatorial radius of ellipsoid (meters) </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>r</em> </td><td>reciprocal flattening of ellipsoid. Setting <em>r</em> = 0 implies <em>r</em> = inf or flattening = 0 (i.e., a sphere). Negative <em>r</em> indicates a prolate ellipsoid. </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>stdlat</em> </td><td>standard parallel (degrees), the circle of tangency. </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>k0</em> </td><td>scale on the standard parallel.</td></tr>
</table>
</dd>
</dl>
<p>An exception is thrown if <em>a</em> or <em>k0</em> is not positive or if <em>stdlat</em> is not in the range [-90, 90]. </p>
<p>Definition at line <a class="el" href="LambertConformalConic_8cpp_source.html#l00028">28</a> of file <a class="el" href="LambertConformalConic_8cpp_source.html">LambertConformalConic.cpp</a>.</p>
</div>
</div>
<a class="anchor" id="af1baa3a7d0baf13819eab9e0683c67d8"></a><!-- doxytag: member="GeographicLib::LambertConformalConic::LambertConformalConic" ref="af1baa3a7d0baf13819eab9e0683c67d8" args="(real a, real r, real stdlat1, real stdlat2, real k1)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">GeographicLib::LambertConformalConic::LambertConformalConic </td>
<td>(</td>
<td class="paramtype">real </td>
<td class="paramname"> <em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>stdlat1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>stdlat2</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>k1</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Constructor with two standard parallels.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>a</em> </td><td>equatorial radius of ellipsoid (meters) </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>r</em> </td><td>reciprocal flattening of ellipsoid. Setting <em>r</em> = 0 implies <em>r</em> = inf or flattening = 0 (i.e., a sphere). Negative <em>r</em> indicates a prolate ellipsoid. </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>stdlat1</em> </td><td>first standard parallel (degrees). </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>stdlat2</em> </td><td>second standard parallel (degrees). </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>k1</em> </td><td>scale on the standard parallels.</td></tr>
</table>
</dd>
</dl>
<p>An exception is thrown if <em>a</em> or <em>k0</em> is not positive or if <em>stdlat1</em> or <em>stdlat2</em> is not in the range [-90, 90]. In addition, if either <em>stdlat1</em> or <em>stdlat2</em> is a pole, then an exception is thrown if <em>stdlat1</em> is not equal <em>stdlat2</em>. </p>
<p>Definition at line <a class="el" href="LambertConformalConic_8cpp_source.html#l00053">53</a> of file <a class="el" href="LambertConformalConic_8cpp_source.html">LambertConformalConic.cpp</a>.</p>
</div>
</div>
<a class="anchor" id="aaa5a355306f2e1b18d02dd04ab69cfb5"></a><!-- doxytag: member="GeographicLib::LambertConformalConic::LambertConformalConic" ref="aaa5a355306f2e1b18d02dd04ab69cfb5" args="(real a, real r, real sinlat1, real coslat1, real sinlat2, real coslat2, real k1)" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">GeographicLib::LambertConformalConic::LambertConformalConic </td>
<td>(</td>
<td class="paramtype">real </td>
<td class="paramname"> <em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>sinlat1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>coslat1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>sinlat2</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>coslat2</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>k1</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Constructor with two standard parallels specified by sines and cosines.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>a</em> </td><td>equatorial radius of ellipsoid (meters) </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>r</em> </td><td>reciprocal flattening of ellipsoid. Setting <em>r</em> = 0 implies <em>r</em> = inf or flattening = 0 (i.e., a sphere). Negative <em>r</em> indicates a prolate ellipsoid. </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>sinlat1</em> </td><td>sine of first standard parallel. </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>coslat1</em> </td><td>cosine of first standard parallel. </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>sinlat2</em> </td><td>sine of second standard parallel. </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>coslat2</em> </td><td>cosine of second standard parallel. </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>k1</em> </td><td>scale on the standard parallels.</td></tr>
</table>
</dd>
</dl>
<p>This allows parallels close to the poles to be specified accurately. This routine computes the latitude of origin and the scale at this latitude. In the case where <em>lat1</em> and <em>lat2</em> are different, the errors in this routines are as follows: if <em>dlat</em> = abs(<em>lat2</em> - <em>lat1</em>) <= 160<sup>o</sup> and max(abs(<em>lat1</em>), abs(<em>lat2</em>)) <= 90 - min(0.0002, 2.2e-6(180 - <em>dlat</em>), 6e-8<em>dlat<sup>2</sup></em>) (in degrees), then the error in the latitude of origin is less than 4.5e-14<sup>o</sup> and the relative error in the scale is less than 7e-15. </p>
<p>Definition at line <a class="el" href="LambertConformalConic_8cpp_source.html#l00081">81</a> of file <a class="el" href="LambertConformalConic_8cpp_source.html">LambertConformalConic.cpp</a>.</p>
</div>
</div>
<hr/><h2>Member Function Documentation</h2>
<a class="anchor" id="aac6267f7f970b35043b17e12e4163ff2"></a><!-- doxytag: member="GeographicLib::LambertConformalConic::SetScale" ref="aac6267f7f970b35043b17e12e4163ff2" args="(real lat, real k=real(1))" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void GeographicLib::LambertConformalConic::SetScale </td>
<td>(</td>
<td class="paramtype">real </td>
<td class="paramname"> <em>lat</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>k</em> = <code>real(1)</code></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Set the scale for the projection.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>lat</em> </td><td>(degrees). </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>k</em> </td><td>scale at latitude <em>lat</em> (default 1).</td></tr>
</table>
</dd>
</dl>
<p>This allows a "latitude of true scale" to be specified. An exception is thrown if <em>k</em> is not positive or if <em>stdlat</em> is not in the range [-90, 90] </p>
<p>Definition at line <a class="el" href="LambertConformalConic_8cpp_source.html#l00453">453</a> of file <a class="el" href="LambertConformalConic_8cpp_source.html">LambertConformalConic.cpp</a>.</p>
<p>References <a class="el" href="LambertConformalConic_8cpp_source.html#l00324">Forward()</a>.</p>
</div>
</div>
<a class="anchor" id="a2bafb6c1a81d4b6cf04f172b9e96278c"></a><!-- doxytag: member="GeographicLib::LambertConformalConic::Forward" ref="a2bafb6c1a81d4b6cf04f172b9e96278c" args="(real lon0, real lat, real lon, real &x, real &y, real &gamma, real &k) const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void GeographicLib::LambertConformalConic::Forward </td>
<td>(</td>
<td class="paramtype">real </td>
<td class="paramname"> <em>lon0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>lat</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>lon</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>gamma</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>k</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td> const throw ()</td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Forward projection, from geographic to Lambert conformal conic.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>lon0</em> </td><td>central meridian longitude (degrees). </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>lat</em> </td><td>latitude of point (degrees). </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>lon</em> </td><td>longitude of point (degrees). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>x</em> </td><td>easting of point (meters). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>y</em> </td><td>northing of point (meters). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>gamma</em> </td><td>meridian convergence at point (degrees). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>k</em> </td><td>scale of projection at point.</td></tr>
</table>
</dd>
</dl>
<p>The latitude origin is given by LambertConformalConic::LatitudeOrigin(). No false easting or northing is added and <em>lat</em> should be in the range [-90, 90]; <em>lon</em> and <em>lon0</em> should be in the range [-180, 360]. The error in the projection is less than about 10 nm (true distance) and the errors in the meridian convergence and scale are consistent with this. The values of <em>x</em> and <em>y</em> returned for points which project to infinity (i.e., one or both of the poles) will be large but finite. </p>
<p>Definition at line <a class="el" href="LambertConformalConic_8cpp_source.html#l00324">324</a> of file <a class="el" href="LambertConformalConic_8cpp_source.html">LambertConformalConic.cpp</a>.</p>
<p>References <a class="el" href="Constants_8hpp_source.html#l00268">GeographicLib::Math::asinh()</a>.</p>
<p>Referenced by <a class="el" href="LambertConformalConic_8hpp_source.html#l00281">Forward()</a>, and <a class="el" href="LambertConformalConic_8cpp_source.html#l00453">SetScale()</a>.</p>
</div>
</div>
<a class="anchor" id="a085d37693f5e95fd650b7f59f61ab744"></a><!-- doxytag: member="GeographicLib::LambertConformalConic::Reverse" ref="a085d37693f5e95fd650b7f59f61ab744" args="(real lon0, real x, real y, real &lat, real &lon, real &gamma, real &k) const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void GeographicLib::LambertConformalConic::Reverse </td>
<td>(</td>
<td class="paramtype">real </td>
<td class="paramname"> <em>lon0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>lat</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>lon</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>gamma</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>k</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td> const throw ()</td>
</tr>
</table>
</div>
<div class="memdoc">
<p>Reverse projection, from Lambert conformal conic to geographic.</p>
<dl><dt><b>Parameters:</b></dt><dd>
<table border="0" cellspacing="2" cellpadding="0">
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>lon0</em> </td><td>central meridian longitude (degrees). </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>x</em> </td><td>easting of point (meters). </td></tr>
<tr><td valign="top"><tt>[in]</tt> </td><td valign="top"><em>y</em> </td><td>northing of point (meters). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>lat</em> </td><td>latitude of point (degrees). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>lon</em> </td><td>longitude of point (degrees). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>gamma</em> </td><td>meridian convergence at point (degrees). </td></tr>
<tr><td valign="top"><tt>[out]</tt> </td><td valign="top"><em>k</em> </td><td>scale of projection at point.</td></tr>
</table>
</dd>
</dl>
<p>The latitude origin is given by LambertConformalConic::LatitudeOrigin(). No false easting or northing is added. <em>lon0</em> should be in the range [-180, 360]. The value of <em>lon</em> returned is in the range [-180, 180). The error in the projection is less than about 10 nm (true distance) and the errors in the meridian convergence and scale are consistent with this. </p>
<p>Definition at line <a class="el" href="LambertConformalConic_8cpp_source.html#l00370">370</a> of file <a class="el" href="LambertConformalConic_8cpp_source.html">LambertConformalConic.cpp</a>.</p>
<p>References <a class="el" href="Constants_8hpp_source.html#l00160">GeographicLib::Math::hypot()</a>, and <a class="el" href="Constants_8hpp_source.html#l00236">GeographicLib::Math::log1p()</a>.</p>
<p>Referenced by <a class="el" href="LambertConformalConic_8hpp_source.html#l00291">Reverse()</a>.</p>
</div>
</div>
<a class="anchor" id="a14a3757d85e81488afe476f7ceb8a720"></a><!-- doxytag: member="GeographicLib::LambertConformalConic::Forward" ref="a14a3757d85e81488afe476f7ceb8a720" args="(real lon0, real lat, real lon, real &x, real &y) const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void GeographicLib::LambertConformalConic::Forward </td>
<td>(</td>
<td class="paramtype">real </td>
<td class="paramname"> <em>lon0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>lat</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>lon</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>y</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td> const throw ()<code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a2bafb6c1a81d4b6cf04f172b9e96278c">LambertConformalConic::Forward</a> without returning the convergence and scale. </p>
<p>Definition at line <a class="el" href="LambertConformalConic_8hpp_source.html#l00281">281</a> of file <a class="el" href="LambertConformalConic_8hpp_source.html">LambertConformalConic.hpp</a>.</p>
<p>References <a class="el" href="LambertConformalConic_8cpp_source.html#l00324">Forward()</a>.</p>
</div>
</div>
<a class="anchor" id="a1bffe1259895569e6834a4b1df9b22ab"></a><!-- doxytag: member="GeographicLib::LambertConformalConic::Reverse" ref="a1bffe1259895569e6834a4b1df9b22ab" args="(real lon0, real x, real y, real &lat, real &lon) const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void GeographicLib::LambertConformalConic::Reverse </td>
<td>(</td>
<td class="paramtype">real </td>
<td class="paramname"> <em>lon0</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real </td>
<td class="paramname"> <em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>lat</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">real & </td>
<td class="paramname"> <em>lon</em></td><td> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td><td> const throw ()<code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p><a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a085d37693f5e95fd650b7f59f61ab744">LambertConformalConic::Reverse</a> without returning the convergence and scale. </p>
<p>Definition at line <a class="el" href="LambertConformalConic_8hpp_source.html#l00291">291</a> of file <a class="el" href="LambertConformalConic_8hpp_source.html">LambertConformalConic.hpp</a>.</p>
<p>References <a class="el" href="LambertConformalConic_8cpp_source.html#l00370">Reverse()</a>.</p>
</div>
</div>
<a class="anchor" id="a21f9bc21f3f40c56d2f5d12fb4b7f75a"></a><!-- doxytag: member="GeographicLib::LambertConformalConic::MajorRadius" ref="a21f9bc21f3f40c56d2f5d12fb4b7f75a" args="() const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="classGeographicLib_1_1Math.html#aeee4778d7cf2f9fb9648efe4911da59d">Math::real</a> GeographicLib::LambertConformalConic::MajorRadius </td>
<td>(</td>
<td class="paramname"></td>
<td> ) </td>
<td> const throw ()<code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<dl class="return"><dt><b>Returns:</b></dt><dd><em>a</em> the equatorial radius of the ellipsoid (meters). This is the value used in the constructor. </dd></dl>
<p>Definition at line <a class="el" href="LambertConformalConic_8hpp_source.html#l00304">304</a> of file <a class="el" href="LambertConformalConic_8hpp_source.html">LambertConformalConic.hpp</a>.</p>
</div>
</div>
<a class="anchor" id="a2dcd66922112771c232d686e7bcc5f31"></a><!-- doxytag: member="GeographicLib::LambertConformalConic::InverseFlattening" ref="a2dcd66922112771c232d686e7bcc5f31" args="() const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="classGeographicLib_1_1Math.html#aeee4778d7cf2f9fb9648efe4911da59d">Math::real</a> GeographicLib::LambertConformalConic::InverseFlattening </td>
<td>(</td>
<td class="paramname"></td>
<td> ) </td>
<td> const throw ()<code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<dl class="return"><dt><b>Returns:</b></dt><dd><em>r</em> the inverse flattening of the ellipsoid. This is the value used in the constructor. A value of 0 is returned for a sphere (infinite inverse flattening). </dd></dl>
<p>Definition at line <a class="el" href="LambertConformalConic_8hpp_source.html#l00311">311</a> of file <a class="el" href="LambertConformalConic_8hpp_source.html">LambertConformalConic.hpp</a>.</p>
</div>
</div>
<a class="anchor" id="a7c589335b43b2274d3a68c0f68f29d77"></a><!-- doxytag: member="GeographicLib::LambertConformalConic::OriginLatitude" ref="a7c589335b43b2274d3a68c0f68f29d77" args="() const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="classGeographicLib_1_1Math.html#aeee4778d7cf2f9fb9648efe4911da59d">Math::real</a> GeographicLib::LambertConformalConic::OriginLatitude </td>
<td>(</td>
<td class="paramname"></td>
<td> ) </td>
<td> const throw ()<code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<dl class="return"><dt><b>Returns:</b></dt><dd>latitude of the origin for the projection (degrees).</dd></dl>
<p>This is the latitude of minimum scale and equals the <em>stdlat</em> in the 1-parallel constructor and lies between <em>stdlat1</em> and <em>stdlat2</em> in the 2-parallel constructors. </p>
<p>Definition at line <a class="el" href="LambertConformalConic_8hpp_source.html#l00320">320</a> of file <a class="el" href="LambertConformalConic_8hpp_source.html">LambertConformalConic.hpp</a>.</p>
</div>
</div>
<a class="anchor" id="a2298a4e48e550cfd7346cf5f2dd175ad"></a><!-- doxytag: member="GeographicLib::LambertConformalConic::CentralScale" ref="a2298a4e48e550cfd7346cf5f2dd175ad" args="() const " -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="classGeographicLib_1_1Math.html#aeee4778d7cf2f9fb9648efe4911da59d">Math::real</a> GeographicLib::LambertConformalConic::CentralScale </td>
<td>(</td>
<td class="paramname"></td>
<td> ) </td>
<td> const throw ()<code> [inline]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<dl class="return"><dt><b>Returns:</b></dt><dd>central scale for the projection. This is the scale on the latitude of origin. </dd></dl>
<p>Definition at line <a class="el" href="LambertConformalConic_8hpp_source.html#l00326">326</a> of file <a class="el" href="LambertConformalConic_8hpp_source.html">LambertConformalConic.hpp</a>.</p>
</div>
</div>
<hr/><h2>Member Data Documentation</h2>
<a class="anchor" id="a7fbb6973b77593245db52c9759740f9a"></a><!-- doxytag: member="GeographicLib::LambertConformalConic::Mercator" ref="a7fbb6973b77593245db52c9759740f9a" args="" -->
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">const <a class="el" href="classGeographicLib_1_1LambertConformalConic.html">LambertConformalConic</a> <a class="el" href="classGeographicLib_1_1LambertConformalConic.html#a7fbb6973b77593245db52c9759740f9a">GeographicLib::LambertConformalConic::Mercator</a><code> [static]</code></td>
</tr>
</table>
</div>
<div class="memdoc">
<p>A global instantiation of <a class="el" href="classGeographicLib_1_1LambertConformalConic.html" title="Lambert Conformal Conic Projection.">LambertConformalConic</a> with the WGS84 ellipsoid, <em>stdlat</em> = 0, and <em>k0</em> = 1. This degenerates to the Mercator projection. </p>
<p>Definition at line <a class="el" href="LambertConformalConic_8hpp_source.html#l00334">334</a> of file <a class="el" href="LambertConformalConic_8hpp_source.html">LambertConformalConic.hpp</a>.</p>
</div>
</div>
<hr/>The documentation for this class was generated from the following files:<ul>
<li><a class="el" href="LambertConformalConic_8hpp_source.html">LambertConformalConic.hpp</a></li>
<li><a class="el" href="LambertConformalConic_8cpp_source.html">LambertConformalConic.cpp</a></li>
</ul>
</div>
<hr class="footer"/><address class="footer"><small>Generated on Tue Feb 22 2011 for GeographicLib by
<a href="http://www.doxygen.org/index.html">
<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.7.1 </small></address>
</body>
</html>
|