Commit b09ed1c392f54af7b4895ffede22f8028f3bd840 - python-pyproj

Imported Upstream version 1.9.4 Bas Couwenberg 9 years ago

68 changed file(s) with 7928 addition(s) and 3551 deletion(s). Raw diff Collapse all Expand all

-0

Changelog less more

	0	1.9.4 (git tag v1.9.4rel)
	1	* migrate to github from googlecode.
	2	* update proj4 source code from svn r2595 (version 4.9.0RC2).
	3	* include runtime_library_dirs in setup-proj.py.
	4	* added to_latlong method (issue 51).
	5	* fix back azimuth when lon1 and lon2 are identical.
0	6	1.9.3 (svn revision 327)
1	7	* Geod now uses C code adapted from geographiclib now included in proj4 source,
2	8	instead of pure python code directly from geographiclib.

+16

-0

LICENSE less more

	0	Contact: Jeffrey Whitaker <jeffrey.s.whitaker@noaa.gov
	1
	2	copyright (c) 2013 by Jeffrey Whitaker.
	3
	4	Permission to use, copy, modify, and distribute this software
	5	and its documentation for any purpose and without fee is hereby
	6	granted, provided that the above copyright notice appear in all
	7	copies and that both the copyright notice and this permission
	8	notice appear in supporting documentation. THE AUTHOR DISCLAIMS
	9	ALL WARRANTIES WITH REGARD TO THIS SOFTWARE, INCLUDING ALL
	10	IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS. IN NO EVENT
	11	SHALL THE AUTHOR BE LIABLE FOR ANY SPECIAL, INDIRECT OR
	12	CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
	13	LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT,
	14	NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
	15	CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.

-3

~~LICENSE_geographiclib~~ less more

0		Copyright (c) Charles Karney (2011) <charles@karney.com> and licensed
1		under the MIT/X11 License. For more information, see
2		http://geographiclib.sourceforge.net/

-2

MANIFEST.in less more

0		include README
	0	include README.md
1	1	include MANIFEST.in
2	2	include LICENSE_proj4
3		include LICENSE_geographiclib
	3	include LICENSE
4	4	include Changelog
5	5	include create_docs.sh
6	6	include _proj.pyx

-24

~~PKG-INFO~~ less more

0		Metadata-Version: 1.1
1		Name: pyproj
2		Version: 1.9.3
3		Summary: Python interface to PROJ.4 library
4		Home-page: http://code.google.com/p/pyproj
5		Author: Jeff Whitaker
6		Author-email: jeffrey.s.whitaker@noaa.gov
7		License: OSI Approved
8		Download-URL: http://python.org/pypi/pyproj
9		Description:
10		Performs cartographic transformations between geographic (lat/lon)
11		and map projection (x/y) coordinates. Can also transform directly
12		from one map projection coordinate system to another.
13		Coordinates can be given as numpy arrays, python arrays, lists or scalars.
14		Optimized for numpy arrays.
15		Keywords: python,map projections,GIS,mapping,maps
16		Platform: any
17		Classifier: Development Status :: 4 - Beta
18		Classifier: Intended Audience :: Science/Research
19		Classifier: License :: OSI Approved
20		Classifier: Topic :: Software Development :: Libraries :: Python Modules
21		Classifier: Topic :: Scientific/Engineering :: GIS
22		Classifier: Topic :: Scientific/Engineering :: Mathematics
23		Classifier: Operating System :: OS Independent

-11

~~README~~ less more

0		To install:
1
2		python setup.py build
3		python setup.py install
4
5		To use installed proj lib (and data files), use setup-proj.py instead
6		and set PROJ_DIR env var to point to location of proj installation.
7
8		Docs at http://pyproj.googlecode.com/svn/trunk/docs/index.html
9
10		Report bugs/ask questions at http://code.google.com/p/pyproj/issues/list

+14

-0

README.md less more

	0	To install:
	1
	2	* clone github repo or download source release at http://python.org/pypi/pyproj.
	3	* python setup.py build
	4	* python setup.py install (with sudo if necessary).
	5
	6	To test, run `python -c "import pyproj; pyproj.test()"`
	7
	8	To use installed proj lib (and data files), use setup-proj.py instead
	9	and set PROJ_DIR env var to point to location of proj installation.
	10
	11	Docs at http://jswhit.github.io/pyproj.
	12
	13	Report bugs/ask questions at https://github.com/jswhit/pyproj/issues.

+1464

-1113

_proj.c less more

0		/* Generated by Cython 0.17.4 on Sat Jan 5 16:03:47 2013 */
	0	/* Generated by Cython 0.19.1 on Tue Nov 5 11:06:29 2013 */
1	1
2	2	#define PY_SSIZE_T_CLEAN
	3	#ifndef CYTHON_USE_PYLONG_INTERNALS
	4	#ifdef PYLONG_BITS_IN_DIGIT
	5	#define CYTHON_USE_PYLONG_INTERNALS 0
	6	#else
	7	#include "pyconfig.h"
	8	#ifdef PYLONG_BITS_IN_DIGIT
	9	#define CYTHON_USE_PYLONG_INTERNALS 1
	10	#else
	11	#define CYTHON_USE_PYLONG_INTERNALS 0
	12	#endif
	13	#endif
	14	#endif
3	15	#include "Python.h"
4	16	#ifndef Py_PYTHON_H
5	17	#error Python headers needed to compile C extensions, please install development version of Python.

115	127	#if (PY_VERSION_HEX < 0x02060000) \|\| (PY_MAJOR_VERSION >= 3)
116	128	#define Py_TPFLAGS_HAVE_NEWBUFFER 0
117	129	#endif
	130	#if PY_VERSION_HEX < 0x02060000
	131	#define Py_TPFLAGS_HAVE_VERSION_TAG 0
	132	#endif
118	133	#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
119	134	#define CYTHON_PEP393_ENABLED 1
120	135	#define __Pyx_PyUnicode_READY(op) (likely(PyUnicode_IS_READY(op)) ? \

154	169	#define PyBytes_Concat PyString_Concat
155	170	#define PyBytes_ConcatAndDel PyString_ConcatAndDel
156	171	#endif
	172	#if PY_MAJOR_VERSION >= 3
	173	#define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
	174	#define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
	175	#else
	176	#define __Pyx_PyBaseString_Check(obj) (PyString_CheckExact(obj) \|\| PyUnicode_CheckExact(obj) \|\| \
	177	PyString_Check(obj) \|\| PyUnicode_Check(obj))
	178	#define __Pyx_PyBaseString_CheckExact(obj) (Py_TYPE(obj) == &PyBaseString_Type)
	179	#endif
157	180	#if PY_VERSION_HEX < 0x02060000
158	181	#define PySet_Check(obj) PyObject_TypeCheck(obj, &PySet_Type)
159	182	#define PyFrozenSet_Check(obj) PyObject_TypeCheck(obj, &PyFrozenSet_Type)

226	249	#define __Pyx_NAMESTR(n) (n)
227	250	#define __Pyx_DOCSTR(n) (n)
228	251	#endif
229
230
231		#if PY_MAJOR_VERSION >= 3
232		#define __Pyx_PyNumber_Divide(x,y) PyNumber_TrueDivide(x,y)
233		#define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceTrueDivide(x,y)
234		#else
235		#define __Pyx_PyNumber_Divide(x,y) PyNumber_Divide(x,y)
236		#define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceDivide(x,y)
237		#endif
238
239		#ifndef __PYX_EXTERN_C
240		#ifdef __cplusplus
241		#define __PYX_EXTERN_C extern "C"
242		#else
243		#define __PYX_EXTERN_C extern
244		#endif
245		#endif
246
247		#if defined(WIN32) \|\| defined(MS_WINDOWS)
248		#define _USE_MATH_DEFINES
249		#endif
250		#include <math.h>
251		#define __PYX_HAVE___proj
252		#define __PYX_HAVE_API___proj
253		#include "math.h"
254		#include "geodesic.h"
255		#include "proj_api.h"
256		#ifdef _OPENMP
257		#include <omp.h>
258		#endif /* _OPENMP */
259
260		#ifdef PYREX_WITHOUT_ASSERTIONS
261		#define CYTHON_WITHOUT_ASSERTIONS
262		#endif
263
264
265		/* inline attribute */
266	252	#ifndef CYTHON_INLINE
267	253	#if defined(__GNUC__)
268	254	#define CYTHON_INLINE __inline__

274	260	#define CYTHON_INLINE
275	261	#endif
276	262	#endif
277
278		/* unused attribute */
	263	#ifndef CYTHON_RESTRICT
	264	#if defined(__GNUC__)
	265	#define CYTHON_RESTRICT __restrict__
	266	#elif defined(_MSC_VER)
	267	#define CYTHON_RESTRICT __restrict
	268	#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
	269	#define CYTHON_RESTRICT restrict
	270	#else
	271	#define CYTHON_RESTRICT
	272	#endif
	273	#endif
	274	#ifdef NAN
	275	#define __PYX_NAN() ((float) NAN)
	276	#else
	277	static CYTHON_INLINE float __PYX_NAN() {
	278	/* Initialize NaN. The sign is irrelevant, an exponent with all bits 1 and
	279	a nonzero mantissa means NaN. If the first bit in the mantissa is 1, it is
	280	a quiet NaN. */
	281	float value;
	282	memset(&value, 0xFF, sizeof(value));
	283	return value;
	284	}
	285	#endif
	286
	287
	288	#if PY_MAJOR_VERSION >= 3
	289	#define __Pyx_PyNumber_Divide(x,y) PyNumber_TrueDivide(x,y)
	290	#define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceTrueDivide(x,y)
	291	#else
	292	#define __Pyx_PyNumber_Divide(x,y) PyNumber_Divide(x,y)
	293	#define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceDivide(x,y)
	294	#endif
	295
	296	#ifndef __PYX_EXTERN_C
	297	#ifdef __cplusplus
	298	#define __PYX_EXTERN_C extern "C"
	299	#else
	300	#define __PYX_EXTERN_C extern
	301	#endif
	302	#endif
	303
	304	#if defined(WIN32) \|\| defined(MS_WINDOWS)
	305	#define _USE_MATH_DEFINES
	306	#endif
	307	#include <math.h>
	308	#define __PYX_HAVE___proj
	309	#define __PYX_HAVE_API___proj
	310	#include "math.h"
	311	#include "geodesic.h"
	312	#include "proj_api.h"
	313	#ifdef _OPENMP
	314	#include <omp.h>
	315	#endif /* _OPENMP */
	316
	317	#ifdef PYREX_WITHOUT_ASSERTIONS
	318	#define CYTHON_WITHOUT_ASSERTIONS
	319	#endif
	320
279	321	#ifndef CYTHON_UNUSED
280	322	# if defined(__GNUC__)
281	323	# if !(defined(__cplusplus)) \|\| (__GNUC__ > 3 \|\| (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))

289	331	# define CYTHON_UNUSED
290	332	# endif
291	333	#endif
292
293		typedef struct {PyObject *p; char s; const long n; const char* encoding; const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; /proto/
294
295
296		/* Type Conversion Predeclarations */
297
298		#define __Pyx_PyBytes_FromUString(s) PyBytes_FromString((char*)s)
299		#define __Pyx_PyBytes_AsUString(s) ((unsigned char*) PyBytes_AsString(s))
300
	334	typedef struct {PyObject *p; char s; const Py_ssize_t n; const char* encoding;
	335	const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; /proto/
	336
	337	#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
	338	#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0
	339	#define __PYX_DEFAULT_STRING_ENCODING ""
	340	#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
	341	#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
	342	static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject*);
	343	static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject, Py_ssize_t length);
	344	#define __Pyx_PyBytes_FromString PyBytes_FromString
	345	#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
	346	static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(char*);
	347	#if PY_MAJOR_VERSION < 3
	348	#define __Pyx_PyStr_FromString __Pyx_PyBytes_FromString
	349	#define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
	350	#else
	351	#define __Pyx_PyStr_FromString __Pyx_PyUnicode_FromString
	352	#define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
	353	#endif
	354	#define __Pyx_PyObject_AsUString(s) ((unsigned char*) __Pyx_PyObject_AsString(s))
	355	#define __Pyx_PyObject_FromUString(s) __Pyx_PyObject_FromString((char*)s)
	356	#define __Pyx_PyBytes_FromUString(s) __Pyx_PyBytes_FromString((char*)s)
	357	#define __Pyx_PyStr_FromUString(s) __Pyx_PyStr_FromString((char*)s)
	358	#define __Pyx_PyUnicode_FromUString(s) __Pyx_PyUnicode_FromString((char*)s)
	359	#if PY_MAJOR_VERSION < 3
	360	static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
	361	{
	362	const Py_UNICODE *u_end = u;
	363	while (*u_end++) ;
	364	return u_end - u - 1;
	365	}
	366	#else
	367	#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen
	368	#endif
	369	#define __Pyx_PyUnicode_FromUnicode(u) PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
	370	#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
	371	#define __Pyx_PyUnicode_AsUnicode PyUnicode_AsUnicode
301	372	#define __Pyx_Owned_Py_None(b) (Py_INCREF(Py_None), Py_None)
302	373	#define __Pyx_PyBool_FromLong(b) ((b) ? (Py_INCREF(Py_True), Py_True) : (Py_INCREF(Py_False), Py_False))
303	374	static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
304	375	static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x);
305
306	376	static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
307	377	static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
308	378	static CYTHON_INLINE size_t __Pyx_PyInt_AsSize_t(PyObject*);
309
310	379	#if CYTHON_COMPILING_IN_CPYTHON
311	380	#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
312	381	#else
313	382	#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
314	383	#endif
315	384	#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
	385	#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
	386	static int __Pyx_sys_getdefaultencoding_not_ascii;
	387	static int __Pyx_init_sys_getdefaultencoding_params() {
	388	PyObject* sys = NULL;
	389	PyObject* default_encoding = NULL;
	390	PyObject* ascii_chars_u = NULL;
	391	PyObject* ascii_chars_b = NULL;
	392	sys = PyImport_ImportModule("sys");
	393	if (sys == NULL) goto bad;
	394	default_encoding = PyObject_CallMethod(sys, (char) (const char) "getdefaultencoding", NULL);
	395	if (default_encoding == NULL) goto bad;
	396	if (strcmp(PyBytes_AsString(default_encoding), "ascii") == 0) {
	397	__Pyx_sys_getdefaultencoding_not_ascii = 0;
	398	} else {
	399	const char* default_encoding_c = PyBytes_AS_STRING(default_encoding);
	400	char ascii_chars[128];
	401	int c;
	402	for (c = 0; c < 128; c++) {
	403	ascii_chars[c] = c;
	404	}
	405	__Pyx_sys_getdefaultencoding_not_ascii = 1;
	406	ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
	407	if (ascii_chars_u == NULL) goto bad;
	408	ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
	409	if (ascii_chars_b == NULL \|\| strncmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
	410	PyErr_Format(
	411	PyExc_ValueError,
	412	"This module compiled with c_string_encoding=ascii, but default encoding '%s' is not a superset of ascii.",
	413	default_encoding_c);
	414	goto bad;
	415	}
	416	}
	417	Py_XDECREF(sys);
	418	Py_XDECREF(default_encoding);
	419	Py_XDECREF(ascii_chars_u);
	420	Py_XDECREF(ascii_chars_b);
	421	return 0;
	422	bad:
	423	Py_XDECREF(sys);
	424	Py_XDECREF(default_encoding);
	425	Py_XDECREF(ascii_chars_u);
	426	Py_XDECREF(ascii_chars_b);
	427	return -1;
	428	}
	429	#endif
	430	#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
	431	#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
	432	#else
	433	#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
	434	#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
	435	static char* __PYX_DEFAULT_STRING_ENCODING;
	436	static int __Pyx_init_sys_getdefaultencoding_params() {
	437	PyObject* sys = NULL;
	438	PyObject* default_encoding = NULL;
	439	char* default_encoding_c;
	440	sys = PyImport_ImportModule("sys");
	441	if (sys == NULL) goto bad;
	442	default_encoding = PyObject_CallMethod(sys, (char) (const char) "getdefaultencoding", NULL);
	443	if (default_encoding == NULL) goto bad;
	444	default_encoding_c = PyBytes_AS_STRING(default_encoding);
	445	__PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
	446	strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
	447	Py_DECREF(sys);
	448	Py_DECREF(default_encoding);
	449	return 0;
	450	bad:
	451	Py_XDECREF(sys);
	452	Py_XDECREF(default_encoding);
	453	return -1;
	454	}
	455	#endif
	456	#endif
	457
316	458
317	459	#ifdef __GNUC__
318	460	/* Test for GCC > 2.95 */

327	469	#define likely(x) (x)
328	470	#define unlikely(x) (x)
329	471	#endif /* __GNUC__ */
330
	472
331	473	static PyObject *__pyx_m;
	474	static PyObject *__pyx_d;
332	475	static PyObject *__pyx_b;
333	476	static PyObject *__pyx_empty_tuple;
334	477	static PyObject *__pyx_empty_bytes;

347	490	struct __pyx_obj_5_proj_Geod;
348	491	struct __pyx_opt_args_5_proj__strencode;
349	492
350		/* "_proj.pyx":346
	493	/* "_proj.pyx":359
351	494	* yy[i] = yy[i]*_rad2dg
352	495	*
353	496	* cdef _strencode(pystr,encoding='ascii'): # <<<<<<<<<<<<<<

359	502	PyObject *encoding;
360	503	};
361	504
362		/* "_proj.pyx":62
363		* pj_set_searchpath(1, &searchpath)
	505	/* "_proj.pyx":66
	506	* return Proj(projstring)
364	507	*
365	508	* cdef class Proj: # <<<<<<<<<<<<<<
366	509	* cdef projPJ projpj

376	519	};
377	520
378	521
379		/* "_proj.pyx":353
	522	/* "_proj.pyx":366
380	523	* return pystr # already bytes?
381	524	*
382	525	* cdef class Geod: # <<<<<<<<<<<<<<
383		* cdef Geodesic _Geodesic
	526	* cdef geod_geodesic _geod_geodesic
384	527	* cdef public object initstring
385	528	*/
386	529	struct __pyx_obj_5_proj_Geod {
387	530	PyObject_HEAD
388		struct Geodesic _Geodesic;
	531	struct geod_geodesic _geod_geodesic;
389	532	PyObject *initstring;
390	533	};
391	534

443	586	#define __Pyx_CLEAR(r) do { PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);} while(0)
444	587	#define __Pyx_XCLEAR(r) do { if((r) != NULL) {PyObject* tmp = ((PyObject*)(r)); r = NULL; __Pyx_DECREF(tmp);}} while(0)
445	588
446		static PyObject __Pyx_GetName(PyObject dict, PyObject name); /proto*/
	589	#if CYTHON_COMPILING_IN_CPYTHON
	590	static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
	591	PyTypeObject* tp = Py_TYPE(obj);
	592	if (likely(tp->tp_getattro))
	593	return tp->tp_getattro(obj, attr_name);
	594	#if PY_MAJOR_VERSION < 3
	595	if (likely(tp->tp_getattr))
	596	return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
	597	#endif
	598	return PyObject_GetAttr(obj, attr_name);
	599	}
	600	#else
	601	#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n)
	602	#endif
	603
	604	static PyObject __Pyx_GetBuiltinName(PyObject name); /proto/
447	605
448	606	static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name); /proto/
449	607

459	617
460	618	static void __Pyx_Raise(PyObject type, PyObject value, PyObject tb, PyObject cause); /proto/
461	619
	620	static CYTHON_INLINE PyObject __Pyx_GetModuleGlobalName(PyObject name); /proto/
	621
462	622	static int __Pyx_ArgTypeTest(PyObject obj, PyTypeObject type, int none_allowed,
463	623	const char name, int exact); /proto*/
464	624

466	626
467	627	static int __Pyx_GetException(PyObject type, PyObject value, PyObject *tb); /proto*/
468	628
	629	#ifndef __PYX_FORCE_INIT_THREADS
	630	#define __PYX_FORCE_INIT_THREADS 0
	631	#endif
	632
469	633	static CYTHON_INLINE void __Pyx_ExceptionSave(PyObject type, PyObject value, PyObject *tb); /proto*/
470	634	static void __Pyx_ExceptionReset(PyObject type, PyObject value, PyObject tb); /proto*/
471	635
472		static PyObject __Pyx_Import(PyObject name, PyObject from_list, long level); /proto*/
	636	static PyObject __Pyx_Import(PyObject name, PyObject from_list, int level); /proto*/
473	637
474	638	static CYTHON_INLINE unsigned char __Pyx_PyInt_AsUnsignedChar(PyObject *);
475	639

539	703	static PyObject *__pyx_builtin_AttributeError;
540	704	static PyObject *__pyx_builtin_ValueError;
541	705	static PyObject __pyx_pf_5_proj_set_datapath(CYTHON_UNUSED PyObject __pyx_self, PyObject __pyx_v_datapath); / proto */
	706	static PyObject __pyx_pf_5_proj_2_createproj(CYTHON_UNUSED PyObject __pyx_self, PyObject __pyx_v_projstring); / proto */
542	707	static int __pyx_pf_5_proj_4Proj___cinit__(struct __pyx_obj_5_proj_Proj __pyx_v_self, PyObject __pyx_v_projstring); /* proto */
543	708	static void __pyx_pf_5_proj_4Proj_2__dealloc__(struct __pyx_obj_5_proj_Proj __pyx_v_self); / proto */
544		static PyObject __pyx_pf_5_proj_4Proj_4__reduce__(struct __pyx_obj_5_proj_Proj __pyx_v_self); /* proto */
545		static PyObject __pyx_pf_5_proj_4Proj_6_fwd(struct __pyx_obj_5_proj_Proj __pyx_v_self, PyObject __pyx_v_lons, PyObject __pyx_v_lats, PyObject __pyx_v_radians, PyObject __pyx_v_errcheck); /* proto */
546		static PyObject __pyx_pf_5_proj_4Proj_8_inv(struct __pyx_obj_5_proj_Proj __pyx_v_self, PyObject __pyx_v_x, PyObject __pyx_v_y, PyObject __pyx_v_radians, PyObject __pyx_v_errcheck); /* proto */
547		static PyObject __pyx_pf_5_proj_4Proj_10is_latlong(struct __pyx_obj_5_proj_Proj __pyx_v_self); /* proto */
548		static PyObject __pyx_pf_5_proj_4Proj_12is_geocent(struct __pyx_obj_5_proj_Proj __pyx_v_self); /* proto */
	709	static PyObject __pyx_pf_5_proj_4Proj_4to_latlong(struct __pyx_obj_5_proj_Proj __pyx_v_self); /* proto */
	710	static PyObject __pyx_pf_5_proj_4Proj_6__reduce__(struct __pyx_obj_5_proj_Proj __pyx_v_self); /* proto */
	711	static PyObject __pyx_pf_5_proj_4Proj_8_fwd(struct __pyx_obj_5_proj_Proj __pyx_v_self, PyObject __pyx_v_lons, PyObject __pyx_v_lats, PyObject __pyx_v_radians, PyObject __pyx_v_errcheck); /* proto */
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	713	static PyObject __pyx_pf_5_proj_4Proj_12is_latlong(struct __pyx_obj_5_proj_Proj __pyx_v_self); /* proto */
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549	715	static PyObject __pyx_pf_5_proj_4Proj_12proj_version___get__(struct __pyx_obj_5_proj_Proj __pyx_v_self); /* proto */
550	716	static int __pyx_pf_5_proj_4Proj_12proj_version_2__set__(struct __pyx_obj_5_proj_Proj __pyx_v_self, PyObject __pyx_v_value); /* proto */
551	717	static int __pyx_pf_5_proj_4Proj_12proj_version_4__del__(struct __pyx_obj_5_proj_Proj __pyx_v_self); / proto */
552	718	static PyObject __pyx_pf_5_proj_4Proj_3srs___get__(struct __pyx_obj_5_proj_Proj __pyx_v_self); /* proto */
553	719	static int __pyx_pf_5_proj_4Proj_3srs_2__set__(struct __pyx_obj_5_proj_Proj __pyx_v_self, PyObject __pyx_v_value); /* proto */
554	720	static int __pyx_pf_5_proj_4Proj_3srs_4__del__(struct __pyx_obj_5_proj_Proj __pyx_v_self); / proto */
555		static PyObject __pyx_pf_5_proj_2_transform(CYTHON_UNUSED PyObject __pyx_self, struct __pyx_obj_5_proj_Proj __pyx_v_p1, struct __pyx_obj_5_proj_Proj __pyx_v_p2, PyObject __pyx_v_inx, PyObject __pyx_v_iny, PyObject __pyx_v_inz, PyObject __pyx_v_radians); /* proto */
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556	722	static int __pyx_pf_5_proj_4Geod___cinit__(struct __pyx_obj_5_proj_Geod __pyx_v_self, PyObject __pyx_v_a, PyObject __pyx_v_f); / proto */
557	723	static PyObject __pyx_pf_5_proj_4Geod_2__reduce__(struct __pyx_obj_5_proj_Geod __pyx_v_self); /* proto */
558	724	static PyObject __pyx_pf_5_proj_4Geod_4_fwd(struct __pyx_obj_5_proj_Geod __pyx_v_self, PyObject __pyx_v_lons, PyObject __pyx_v_lats, PyObject __pyx_v_az, PyObject __pyx_v_dist, PyObject __pyx_v_radians); / proto */

561	727	static PyObject __pyx_pf_5_proj_4Geod_10initstring___get__(struct __pyx_obj_5_proj_Geod __pyx_v_self); /* proto */
562	728	static int __pyx_pf_5_proj_4Geod_10initstring_2__set__(struct __pyx_obj_5_proj_Geod __pyx_v_self, PyObject __pyx_v_value); /* proto */
563	729	static int __pyx_pf_5_proj_4Geod_10initstring_4__del__(struct __pyx_obj_5_proj_Geod __pyx_v_self); / proto */
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	731	static PyObject __pyx_tp_new_5_proj_Geod(PyTypeObject t, PyObject a, PyObject k); /proto/
564	732	static char __pyx_k_3[] = "Buffer lengths not the same";
565	733	static char __pyx_k_5[] = "projection undefined";
566	734	static char __pyx_k_15[] = "x,y and z must be same size";
567	735	static char __pyx_k_17[] = "+a=%s +f=%s";
568	736	static char __pyx_k_20[] = "undefined inverse geodesic (may be an antipodal point)";
569		static char __pyx_k_26[] = "1.9.3";
570		static char __pyx_k_29[] = "/Users/jsw/python/pyproj/_proj.pyx";
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571	739	static char __pyx_k__a[] = "a";
572	740	static char __pyx_k__f[] = "f";
573	741	static char __pyx_k__i[] = "i";

614	782	static char __pyx_k__errcheck[] = "errcheck";
615	783	static char __pyx_k____class__[] = "__class__";
616	784	static char __pyx_k__ValueError[] = "ValueError";
	785	static char __pyx_k____import__[] = "__import__";
617	786	static char __pyx_k___transform[] = "_transform";
618	787	static char __pyx_k__is_latlong[] = "is_latlong";
619	788	static char __pyx_k__projstring[] = "projstring";
620	789	static char __pyx_k__searchpath[] = "searchpath";
621	790	static char __pyx_k____version__[] = "__version__";
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622	792	static char __pyx_k___doublesize[] = "_doublesize";
623	793	static char __pyx_k__RuntimeError[] = "RuntimeError";
624	794	static char __pyx_k__set_datapath[] = "set_datapath";

634	804	static PyObject *__pyx_n_s__RuntimeError;
635	805	static PyObject *__pyx_n_s__ValueError;
636	806	static PyObject *__pyx_n_s____class__;
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637	808	static PyObject *__pyx_n_s____main__;
638	809	static PyObject *__pyx_n_s____test__;
639	810	static PyObject *__pyx_n_s____version__;
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640	812	static PyObject *__pyx_n_s___doublesize;
641	813	static PyObject *__pyx_n_s___proj;
642	814	static PyObject *__pyx_n_s___transform;

707	879	static PyObject *__pyx_k_tuple_24;
708	880	static PyObject *__pyx_k_tuple_27;
709	881	static PyObject *__pyx_k_tuple_30;
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710	883	static PyObject *__pyx_k_codeobj_28;
711	884	static PyObject *__pyx_k_codeobj_31;
	885	static PyObject *__pyx_k_codeobj_33;
712	886
713	887	/* Python wrapper */
714	888	static PyObject __pyx_pw_5_proj_1set_datapath(PyObject __pyx_self, PyObject __pyx_v_datapath); /proto*/

722	896	return __pyx_r;
723	897	}
724	898
725		/* "_proj.pyx":56
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726	900	* int PyObject_AsWriteBuffer(object, void *rbuf, Py_ssize_t len)
727	901	*
728	902	* def set_datapath(datapath): # <<<<<<<<<<<<<<
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730	903	* bytestr = _strencode(datapath)
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732	906
733	907	static PyObject __pyx_pf_5_proj_set_datapath(CYTHON_UNUSED PyObject __pyx_self, PyObject *__pyx_v_datapath) {
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735	908	PyObject *__pyx_v_bytestr = NULL;
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745		/* "_proj.pyx":58
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748	922	* bytestr = _strencode(datapath) # <<<<<<<<<<<<<<
749		* searchpath = bytestr
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750	924	* pj_set_searchpath(1, &searchpath)
751	925	*/
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758		* cdef char *searchpath
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787	961	}
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838	1078	*
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872	1112	* cdef int err
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884	1124	* self.srs = projstring
885	1125	* bytestr = _strencode(projstring)
886	1126	* self.pjinitstring = bytestr # <<<<<<<<<<<<<<
887	1127	* # initialize projection
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889	1129	*/
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899	1139	*/
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902		/* "_proj.pyx":77
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908	1148	*/
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920		/* "_proj.pyx":79
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1182	1524
1183		static PyObject __pyx_pf_5_proj_4Proj_6_fwd(struct __pyx_obj_5_proj_Proj __pyx_v_self, PyObject __pyx_v_lons, PyObject __pyx_v_lats, PyObject __pyx_v_radians, PyObject __pyx_v_errcheck) {
	1525	static PyObject __pyx_pf_5_proj_4Proj_8_fwd(struct __pyx_obj_5_proj_Proj __pyx_v_self, PyObject __pyx_v_lons, PyObject __pyx_v_lats, PyObject __pyx_v_radians, PyObject __pyx_v_errcheck) {
1184	1526	projUV __pyx_v_projxyout;
1185	1527	projUV __pyx_v_projlonlatin;
1186	1528	Py_ssize_t __pyx_v_buflenx;

1207	1549	int __pyx_clineno = 0;
1208	1550	__Pyx_RefNannySetupContext("_fwd", 0);
1209	1551
1210		/* "_proj.pyx":107
	1552	/* "_proj.pyx":120
1211	1553	* cdef int err
1212	1554	* # if buffer api is supported, get pointer to data buffers.
1213	1555	* if PyObject_AsWriteBuffer(lons, &londata, &buflenx) <> 0: # <<<<<<<<<<<<<<
1214	1556	* raise RuntimeError
1215	1557	* if PyObject_AsWriteBuffer(lats, &latdata, &bufleny) <> 0:
1216	1558	*/
1217		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_lons, (&__pyx_v_londata), (&__pyx_v_buflenx)) != 0);
	1559	__pyx_t_1 = ((PyObject_AsWriteBuffer(__pyx_v_lons, (&__pyx_v_londata), (&__pyx_v_buflenx)) != 0) != 0);
1218	1560	if (__pyx_t_1) {
1219	1561
1220		/* "_proj.pyx":108
	1562	/* "_proj.pyx":121
1221	1563	* # if buffer api is supported, get pointer to data buffers.
1222	1564	* if PyObject_AsWriteBuffer(lons, &londata, &buflenx) <> 0:
1223	1565	* raise RuntimeError # <<<<<<<<<<<<<<

1225	1567	* raise RuntimeError
1226	1568	*/
1227	1569	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
1228		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 108; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1570	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 121; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1229	1571	goto __pyx_L3;
1230	1572	}
1231	1573	__pyx_L3:;
1232	1574
1233		/* "_proj.pyx":109
	1575	/* "_proj.pyx":122
1234	1576	* if PyObject_AsWriteBuffer(lons, &londata, &buflenx) <> 0:
1235	1577	* raise RuntimeError
1236	1578	* if PyObject_AsWriteBuffer(lats, &latdata, &bufleny) <> 0: # <<<<<<<<<<<<<<
1237	1579	* raise RuntimeError
1238	1580	* # process data in buffer
1239	1581	*/
1240		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_lats, (&__pyx_v_latdata), (&__pyx_v_bufleny)) != 0);
	1582	__pyx_t_1 = ((PyObject_AsWriteBuffer(__pyx_v_lats, (&__pyx_v_latdata), (&__pyx_v_bufleny)) != 0) != 0);
1241	1583	if (__pyx_t_1) {
1242	1584
1243		/* "_proj.pyx":110
	1585	/* "_proj.pyx":123
1244	1586	* raise RuntimeError
1245	1587	* if PyObject_AsWriteBuffer(lats, &latdata, &bufleny) <> 0:
1246	1588	* raise RuntimeError # <<<<<<<<<<<<<<

1248	1590	* if buflenx != bufleny:
1249	1591	*/
1250	1592	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
1251		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 110; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1593	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 123; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1252	1594	goto __pyx_L4;
1253	1595	}
1254	1596	__pyx_L4:;
1255	1597
1256		/* "_proj.pyx":112
	1598	/* "_proj.pyx":125
1257	1599	* raise RuntimeError
1258	1600	* # process data in buffer
1259	1601	* if buflenx != bufleny: # <<<<<<<<<<<<<<
1260	1602	* raise RuntimeError("Buffer lengths not the same")
1261	1603	* ndim = buflenx//_doublesize
1262	1604	*/
1263		__pyx_t_1 = (__pyx_v_buflenx != __pyx_v_bufleny);
	1605	__pyx_t_1 = ((__pyx_v_buflenx != __pyx_v_bufleny) != 0);
1264	1606	if (__pyx_t_1) {
1265	1607
1266		/* "_proj.pyx":113
	1608	/* "_proj.pyx":126
1267	1609	* # process data in buffer
1268	1610	* if buflenx != bufleny:
1269	1611	* raise RuntimeError("Buffer lengths not the same") # <<<<<<<<<<<<<<
1270	1612	* ndim = buflenx//_doublesize
1271	1613	* lonsdata = <double *>londata
1272	1614	*/
1273		__pyx_t_2 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_4), NULL); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 113; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1615	__pyx_t_2 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_4), NULL); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 126; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1274	1616	__Pyx_GOTREF(__pyx_t_2);
1275	1617	__Pyx_Raise(__pyx_t_2, 0, 0, 0);
1276	1618	__Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
1277		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 113; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1619	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 126; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1278	1620	goto __pyx_L5;
1279	1621	}
1280	1622	__pyx_L5:;
1281	1623
1282		/* "_proj.pyx":114
	1624	/* "_proj.pyx":127
1283	1625	* if buflenx != bufleny:
1284	1626	* raise RuntimeError("Buffer lengths not the same")
1285	1627	* ndim = buflenx//_doublesize # <<<<<<<<<<<<<<
1286	1628	* lonsdata = <double *>londata
1287	1629	* latsdata = <double *>latdata
1288	1630	*/
1289		__pyx_t_2 = PyInt_FromSsize_t(__pyx_v_buflenx); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1631	__pyx_t_2 = PyInt_FromSsize_t(__pyx_v_buflenx); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 127; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1290	1632	__Pyx_GOTREF(__pyx_t_2);
1291		__pyx_t_3 = __Pyx_GetName(__pyx_m, __pyx_n_s___doublesize); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1633	__pyx_t_3 = __Pyx_GetModuleGlobalName(__pyx_n_s___doublesize); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 127; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1292	1634	__Pyx_GOTREF(__pyx_t_3);
1293		__pyx_t_4 = PyNumber_FloorDivide(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1635	__pyx_t_4 = PyNumber_FloorDivide(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 127; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1294	1636	__Pyx_GOTREF(__pyx_t_4);
1295	1637	__Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
1296	1638	__Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
1297		__pyx_t_5 = __Pyx_PyIndex_AsSsize_t(__pyx_t_4); if (unlikely((__pyx_t_5 == (Py_ssize_t)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 114; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1639	__pyx_t_5 = __Pyx_PyIndex_AsSsize_t(__pyx_t_4); if (unlikely((__pyx_t_5 == (Py_ssize_t)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 127; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1298	1640	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
1299	1641	__pyx_v_ndim = __pyx_t_5;
1300	1642
1301		/* "_proj.pyx":115
	1643	/* "_proj.pyx":128
1302	1644	* raise RuntimeError("Buffer lengths not the same")
1303	1645	* ndim = buflenx//_doublesize
1304	1646	* lonsdata = <double *>londata # <<<<<<<<<<<<<<

1307	1649	*/
1308	1650	__pyx_v_lonsdata = ((double *)__pyx_v_londata);
1309	1651
1310		/* "_proj.pyx":116
	1652	/* "_proj.pyx":129
1311	1653	* ndim = buflenx//_doublesize
1312	1654	* lonsdata = <double *>londata
1313	1655	* latsdata = <double *>latdata # <<<<<<<<<<<<<<

1316	1658	*/
1317	1659	__pyx_v_latsdata = ((double *)__pyx_v_latdata);
1318	1660
1319		/* "_proj.pyx":117
	1661	/* "_proj.pyx":130
1320	1662	* lonsdata = <double *>londata
1321	1663	* latsdata = <double *>latdata
1322	1664	* for i from 0 <= i < ndim: # <<<<<<<<<<<<<<

1326	1668	__pyx_t_5 = __pyx_v_ndim;
1327	1669	for (__pyx_v_i = 0; __pyx_v_i < __pyx_t_5; __pyx_v_i++) {
1328	1670
1329		/* "_proj.pyx":119
	1671	/* "_proj.pyx":132
1330	1672	* for i from 0 <= i < ndim:
1331	1673	* # if inputs are nan's, return big number.
1332	1674	* if lonsdata[i] != lonsdata[i] or latsdata[i] != latsdata[i]: # <<<<<<<<<<<<<<
1333	1675	* lonsdata[i]=1.e30; latsdata[i]=1.e30
1334	1676	* if errcheck:
1335	1677	*/
1336		__pyx_t_1 = ((__pyx_v_lonsdata[__pyx_v_i]) != (__pyx_v_lonsdata[__pyx_v_i]));
	1678	__pyx_t_1 = (((__pyx_v_lonsdata[__pyx_v_i]) != (__pyx_v_lonsdata[__pyx_v_i])) != 0);
1337	1679	if (!__pyx_t_1) {
1338		__pyx_t_6 = ((__pyx_v_latsdata[__pyx_v_i]) != (__pyx_v_latsdata[__pyx_v_i]));
	1680	__pyx_t_6 = (((__pyx_v_latsdata[__pyx_v_i]) != (__pyx_v_latsdata[__pyx_v_i])) != 0);
1339	1681	__pyx_t_7 = __pyx_t_6;
1340	1682	} else {
1341	1683	__pyx_t_7 = __pyx_t_1;
1342	1684	}
1343	1685	if (__pyx_t_7) {
1344	1686
1345		/* "_proj.pyx":120
	1687	/* "_proj.pyx":133
1346	1688	* # if inputs are nan's, return big number.
1347	1689	* if lonsdata[i] != lonsdata[i] or latsdata[i] != latsdata[i]:
1348	1690	* lonsdata[i]=1.e30; latsdata[i]=1.e30 # <<<<<<<<<<<<<<

1352	1694	(__pyx_v_lonsdata[__pyx_v_i]) = 1.e30;
1353	1695	(__pyx_v_latsdata[__pyx_v_i]) = 1.e30;
1354	1696
1355		/* "_proj.pyx":121
	1697	/* "_proj.pyx":134
1356	1698	* if lonsdata[i] != lonsdata[i] or latsdata[i] != latsdata[i]:
1357	1699	* lonsdata[i]=1.e30; latsdata[i]=1.e30
1358	1700	* if errcheck: # <<<<<<<<<<<<<<
1359	1701	* raise RuntimeError('projection undefined')
1360	1702	* continue
1361	1703	*/
1362		__pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_v_errcheck); if (unlikely(__pyx_t_7 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 121; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1704	__pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_v_errcheck); if (unlikely(__pyx_t_7 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 134; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1363	1705	if (__pyx_t_7) {
1364	1706
1365		/* "_proj.pyx":122
	1707	/* "_proj.pyx":135
1366	1708	* lonsdata[i]=1.e30; latsdata[i]=1.e30
1367	1709	* if errcheck:
1368	1710	* raise RuntimeError('projection undefined') # <<<<<<<<<<<<<<
1369	1711	* continue
1370	1712	* if radians:
1371	1713	*/
1372		__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_6), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 122; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1714	__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_6), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 135; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1373	1715	__Pyx_GOTREF(__pyx_t_4);
1374	1716	__Pyx_Raise(__pyx_t_4, 0, 0, 0);
1375	1717	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
1376		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 122; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1718	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 135; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1377	1719	goto __pyx_L9;
1378	1720	}
1379	1721	__pyx_L9:;
1380	1722
1381		/* "_proj.pyx":123
	1723	/* "_proj.pyx":136
1382	1724	* if errcheck:
1383	1725	* raise RuntimeError('projection undefined')
1384	1726	* continue # <<<<<<<<<<<<<<

1390	1732	}
1391	1733	__pyx_L8:;
1392	1734
1393		/* "_proj.pyx":124
	1735	/* "_proj.pyx":137
1394	1736	* raise RuntimeError('projection undefined')
1395	1737	* continue
1396	1738	* if radians: # <<<<<<<<<<<<<<
1397	1739	* projlonlatin.u = lonsdata[i]
1398	1740	* projlonlatin.v = latsdata[i]
1399	1741	*/
1400		__pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_7 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 124; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1742	__pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_7 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 137; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1401	1743	if (__pyx_t_7) {
1402	1744
1403		/* "_proj.pyx":125
	1745	/* "_proj.pyx":138
1404	1746	* continue
1405	1747	* if radians:
1406	1748	* projlonlatin.u = lonsdata[i] # <<<<<<<<<<<<<<

1409	1751	*/
1410	1752	__pyx_v_projlonlatin.u = (__pyx_v_lonsdata[__pyx_v_i]);
1411	1753
1412		/* "_proj.pyx":126
	1754	/* "_proj.pyx":139
1413	1755	* if radians:
1414	1756	* projlonlatin.u = lonsdata[i]
1415	1757	* projlonlatin.v = latsdata[i] # <<<<<<<<<<<<<<

1421	1763	}
1422	1764	/else/ {
1423	1765
1424		/* "_proj.pyx":128
	1766	/* "_proj.pyx":141
1425	1767	* projlonlatin.v = latsdata[i]
1426	1768	* else:
1427	1769	* projlonlatin.u = _dg2rad*lonsdata[i] # <<<<<<<<<<<<<<

1430	1772	*/
1431	1773	__pyx_v_projlonlatin.u = (__pyx_v_5_proj__dg2rad * (__pyx_v_lonsdata[__pyx_v_i]));
1432	1774
1433		/* "_proj.pyx":129
	1775	/* "_proj.pyx":142
1434	1776	* else:
1435	1777	* projlonlatin.u = _dg2rad*lonsdata[i]
1436	1778	* projlonlatin.v = _dg2rad*latsdata[i] # <<<<<<<<<<<<<<

1441	1783	}
1442	1784	__pyx_L10:;
1443	1785
1444		/* "_proj.pyx":130
	1786	/* "_proj.pyx":143
1445	1787	* projlonlatin.u = _dg2rad*lonsdata[i]
1446	1788	* projlonlatin.v = _dg2rad*latsdata[i]
1447	1789	* projxyout = pj_fwd(projlonlatin,self.projpj) # <<<<<<<<<<<<<<

1450	1792	*/
1451	1793	__pyx_v_projxyout = pj_fwd(__pyx_v_projlonlatin, __pyx_v_self->projpj);
1452	1794
1453		/* "_proj.pyx":131
	1795	/* "_proj.pyx":144
1454	1796	* projlonlatin.v = _dg2rad*latsdata[i]
1455	1797	* projxyout = pj_fwd(projlonlatin,self.projpj)
1456	1798	* if errcheck: # <<<<<<<<<<<<<<
1457	1799	* err = pj_ctx_get_errno(self.projctx)
1458	1800	* if err != 0:
1459	1801	*/
1460		__pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_v_errcheck); if (unlikely(__pyx_t_7 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 131; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1802	__pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_v_errcheck); if (unlikely(__pyx_t_7 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 144; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1461	1803	if (__pyx_t_7) {
1462	1804
1463		/* "_proj.pyx":132
	1805	/* "_proj.pyx":145
1464	1806	* projxyout = pj_fwd(projlonlatin,self.projpj)
1465	1807	* if errcheck:
1466	1808	* err = pj_ctx_get_errno(self.projctx) # <<<<<<<<<<<<<<

1469	1811	*/
1470	1812	__pyx_v_err = pj_ctx_get_errno(__pyx_v_self->projctx);
1471	1813
1472		/* "_proj.pyx":133
	1814	/* "_proj.pyx":146
1473	1815	* if errcheck:
1474	1816	* err = pj_ctx_get_errno(self.projctx)
1475	1817	* if err != 0: # <<<<<<<<<<<<<<
1476	1818	* raise RuntimeError(pj_strerrno(err))
1477	1819	* # since HUGE_VAL can be 'inf',
1478	1820	*/
1479		__pyx_t_7 = (__pyx_v_err != 0);
	1821	__pyx_t_7 = ((__pyx_v_err != 0) != 0);
1480	1822	if (__pyx_t_7) {
1481	1823
1482		/* "_proj.pyx":134
	1824	/* "_proj.pyx":147
1483	1825	* err = pj_ctx_get_errno(self.projctx)
1484	1826	* if err != 0:
1485	1827	* raise RuntimeError(pj_strerrno(err)) # <<<<<<<<<<<<<<
1486	1828	* # since HUGE_VAL can be 'inf',
1487	1829	* # change it to a real (but very large) number.
1488	1830	*/
1489		__pyx_t_4 = PyBytes_FromString(pj_strerrno(__pyx_v_err)); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 134; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1831	__pyx_t_4 = __Pyx_PyBytes_FromString(pj_strerrno(__pyx_v_err)); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 147; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1490	1832	__Pyx_GOTREF(((PyObject *)__pyx_t_4));
1491		__pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 134; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1833	__pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 147; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1492	1834	__Pyx_GOTREF(__pyx_t_3);
1493	1835	PyTuple_SET_ITEM(__pyx_t_3, 0, ((PyObject *)__pyx_t_4));
1494	1836	__Pyx_GIVEREF(((PyObject *)__pyx_t_4));
1495	1837	__pyx_t_4 = 0;
1496		__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_t_3), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 134; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1838	__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_t_3), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 147; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1497	1839	__Pyx_GOTREF(__pyx_t_4);
1498	1840	__Pyx_DECREF(((PyObject *)__pyx_t_3)); __pyx_t_3 = 0;
1499	1841	__Pyx_Raise(__pyx_t_4, 0, 0, 0);
1500	1842	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
1501		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 134; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1843	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 147; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1502	1844	goto __pyx_L12;
1503	1845	}
1504	1846	__pyx_L12:;

1506	1848	}
1507	1849	__pyx_L11:;
1508	1850
1509		/* "_proj.pyx":138
	1851	/* "_proj.pyx":151
1510	1852	* # change it to a real (but very large) number.
1511	1853	* # also check for NaNs.
1512	1854	* if projxyout.u == HUGE_VAL or\ # <<<<<<<<<<<<<<
1513	1855	* projxyout.u != projxyout.u:
1514	1856	* if errcheck:
1515	1857	*/
1516		__pyx_t_7 = (__pyx_v_projxyout.u == HUGE_VAL);
	1858	__pyx_t_7 = ((__pyx_v_projxyout.u == HUGE_VAL) != 0);
1517	1859	if (!__pyx_t_7) {
1518	1860
1519		/* "_proj.pyx":139
	1861	/* "_proj.pyx":152
1520	1862	* # also check for NaNs.
1521	1863	* if projxyout.u == HUGE_VAL or\
1522	1864	* projxyout.u != projxyout.u: # <<<<<<<<<<<<<<
1523	1865	* if errcheck:
1524	1866	* raise RuntimeError('projection undefined')
1525	1867	*/
1526		__pyx_t_1 = (__pyx_v_projxyout.u != __pyx_v_projxyout.u);
	1868	__pyx_t_1 = ((__pyx_v_projxyout.u != __pyx_v_projxyout.u) != 0);
1527	1869	__pyx_t_6 = __pyx_t_1;
1528	1870	} else {
1529	1871	__pyx_t_6 = __pyx_t_7;
1530	1872	}
1531	1873	if (__pyx_t_6) {
1532	1874
1533		/* "_proj.pyx":140
	1875	/* "_proj.pyx":153
1534	1876	* if projxyout.u == HUGE_VAL or\
1535	1877	* projxyout.u != projxyout.u:
1536	1878	* if errcheck: # <<<<<<<<<<<<<<
1537	1879	* raise RuntimeError('projection undefined')
1538	1880	* lonsdata[i] = 1.e30
1539	1881	*/
1540		__pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_v_errcheck); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 140; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1882	__pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_v_errcheck); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 153; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1541	1883	if (__pyx_t_6) {
1542	1884
1543		/* "_proj.pyx":141
	1885	/* "_proj.pyx":154
1544	1886	* projxyout.u != projxyout.u:
1545	1887	* if errcheck:
1546	1888	* raise RuntimeError('projection undefined') # <<<<<<<<<<<<<<
1547	1889	* lonsdata[i] = 1.e30
1548	1890	* else:
1549	1891	*/
1550		__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_7), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 141; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1892	__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_7), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 154; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1551	1893	__Pyx_GOTREF(__pyx_t_4);
1552	1894	__Pyx_Raise(__pyx_t_4, 0, 0, 0);
1553	1895	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
1554		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 141; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1896	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 154; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1555	1897	goto __pyx_L14;
1556	1898	}
1557	1899	__pyx_L14:;
1558	1900
1559		/* "_proj.pyx":142
	1901	/* "_proj.pyx":155
1560	1902	* if errcheck:
1561	1903	* raise RuntimeError('projection undefined')
1562	1904	* lonsdata[i] = 1.e30 # <<<<<<<<<<<<<<

1568	1910	}
1569	1911	/else/ {
1570	1912
1571		/* "_proj.pyx":144
	1913	/* "_proj.pyx":157
1572	1914	* lonsdata[i] = 1.e30
1573	1915	* else:
1574	1916	* lonsdata[i] = projxyout.u # <<<<<<<<<<<<<<

1580	1922	}
1581	1923	__pyx_L13:;
1582	1924
1583		/* "_proj.pyx":145
	1925	/* "_proj.pyx":158
1584	1926	* else:
1585	1927	* lonsdata[i] = projxyout.u
1586	1928	* if projxyout.v == HUGE_VAL or\ # <<<<<<<<<<<<<<
1587	1929	* projxyout.u != projxyout.u:
1588	1930	* if errcheck:
1589	1931	*/
1590		__pyx_t_6 = (__pyx_v_projxyout.v == HUGE_VAL);
	1932	__pyx_t_6 = ((__pyx_v_projxyout.v == HUGE_VAL) != 0);
1591	1933	if (!__pyx_t_6) {
1592	1934
1593		/* "_proj.pyx":146
	1935	/* "_proj.pyx":159
1594	1936	* lonsdata[i] = projxyout.u
1595	1937	* if projxyout.v == HUGE_VAL or\
1596	1938	* projxyout.u != projxyout.u: # <<<<<<<<<<<<<<
1597	1939	* if errcheck:
1598	1940	* raise RuntimeError('projection undefined')
1599	1941	*/
1600		__pyx_t_7 = (__pyx_v_projxyout.u != __pyx_v_projxyout.u);
	1942	__pyx_t_7 = ((__pyx_v_projxyout.u != __pyx_v_projxyout.u) != 0);
1601	1943	__pyx_t_1 = __pyx_t_7;
1602	1944	} else {
1603	1945	__pyx_t_1 = __pyx_t_6;
1604	1946	}
1605	1947	if (__pyx_t_1) {
1606	1948
1607		/* "_proj.pyx":147
	1949	/* "_proj.pyx":160
1608	1950	* if projxyout.v == HUGE_VAL or\
1609	1951	* projxyout.u != projxyout.u:
1610	1952	* if errcheck: # <<<<<<<<<<<<<<
1611	1953	* raise RuntimeError('projection undefined')
1612	1954	* latsdata[i] = 1.e30
1613	1955	*/
1614		__pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_v_errcheck); if (unlikely(__pyx_t_1 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 147; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1956	__pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_v_errcheck); if (unlikely(__pyx_t_1 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 160; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1615	1957	if (__pyx_t_1) {
1616	1958
1617		/* "_proj.pyx":148
	1959	/* "_proj.pyx":161
1618	1960	* projxyout.u != projxyout.u:
1619	1961	* if errcheck:
1620	1962	* raise RuntimeError('projection undefined') # <<<<<<<<<<<<<<
1621	1963	* latsdata[i] = 1.e30
1622	1964	* else:
1623	1965	*/
1624		__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_8), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 148; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1966	__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_8), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 161; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1625	1967	__Pyx_GOTREF(__pyx_t_4);
1626	1968	__Pyx_Raise(__pyx_t_4, 0, 0, 0);
1627	1969	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
1628		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 148; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	1970	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 161; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1629	1971	goto __pyx_L16;
1630	1972	}
1631	1973	__pyx_L16:;
1632	1974
1633		/* "_proj.pyx":149
	1975	/* "_proj.pyx":162
1634	1976	* if errcheck:
1635	1977	* raise RuntimeError('projection undefined')
1636	1978	* latsdata[i] = 1.e30 # <<<<<<<<<<<<<<

1642	1984	}
1643	1985	/else/ {
1644	1986
1645		/* "_proj.pyx":151
	1987	/* "_proj.pyx":164
1646	1988	* latsdata[i] = 1.e30
1647	1989	* else:
1648	1990	* latsdata[i] = projxyout.v # <<<<<<<<<<<<<<

1671	2013	}
1672	2014
1673	2015	/* Python wrapper */
1674		static PyObject __pyx_pw_5_proj_4Proj_9_inv(PyObject __pyx_v_self, PyObject __pyx_args, PyObject __pyx_kwds); /proto/
1675		static char __pyx_doc_5_proj_4Proj_8_inv[] = "\n inverse transformation - x,y to lons,lats (done in place).\n if radians=True, lons/lats are radians instead of degrees.\n if errcheck=True, an exception is raised if the inverse transformation is invalid.\n if errcheck=False and the inverse transformation is invalid, no exception is\n raised and 1.e30 is returned.\n ";
1676		static PyObject __pyx_pw_5_proj_4Proj_9_inv(PyObject __pyx_v_self, PyObject __pyx_args, PyObject __pyx_kwds) {
	2016	static PyObject __pyx_pw_5_proj_4Proj_11_inv(PyObject __pyx_v_self, PyObject __pyx_args, PyObject __pyx_kwds); /proto/
	2017	static char __pyx_doc_5_proj_4Proj_10_inv[] = "\n inverse transformation - x,y to lons,lats (done in place).\n if radians=True, lons/lats are radians instead of degrees.\n if errcheck=True, an exception is raised if the inverse transformation is invalid.\n if errcheck=False and the inverse transformation is invalid, no exception is\n raised and 1.e30 is returned.\n ";
	2018	static PyObject __pyx_pw_5_proj_4Proj_11_inv(PyObject __pyx_v_self, PyObject __pyx_args, PyObject __pyx_kwds) {
1677	2019	PyObject *__pyx_v_x = 0;
1678	2020	PyObject *__pyx_v_y = 0;
1679	2021	PyObject *__pyx_v_radians = 0;
1680	2022	PyObject *__pyx_v_errcheck = 0;
	2023	int __pyx_lineno = 0;
	2024	const char *__pyx_filename = NULL;
	2025	int __pyx_clineno = 0;
1681	2026	PyObject *__pyx_r = 0;
1682	2027	__Pyx_RefNannyDeclarations
1683	2028	__Pyx_RefNannySetupContext("_inv (wrapper)", 0);

1705	2050	case 1:
1706	2051	if (likely((values[1] = PyDict_GetItem(__pyx_kwds, __pyx_n_s__y)) != 0)) kw_args--;
1707	2052	else {
1708		__Pyx_RaiseArgtupleInvalid("_inv", 0, 2, 4, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 153; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	2053	__Pyx_RaiseArgtupleInvalid("_inv", 0, 2, 4, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 166; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
1709	2054	}
1710	2055	case 2:
1711	2056	if (kw_args > 0) {

1719	2064	}
1720	2065	}
1721	2066	if (unlikely(kw_args > 0)) {
1722		if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_inv") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 153; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	2067	if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_inv") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 166; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
1723	2068	}
1724	2069	} else {
1725	2070	switch (PyTuple_GET_SIZE(__pyx_args)) {

1738	2083	}
1739	2084	goto __pyx_L4_argument_unpacking_done;
1740	2085	__pyx_L5_argtuple_error:;
1741		__Pyx_RaiseArgtupleInvalid("_inv", 0, 2, 4, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 153; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	2086	__Pyx_RaiseArgtupleInvalid("_inv", 0, 2, 4, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 166; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
1742	2087	__pyx_L3_error:;
1743	2088	__Pyx_AddTraceback("_proj.Proj._inv", __pyx_clineno, __pyx_lineno, __pyx_filename);
1744	2089	__Pyx_RefNannyFinishContext();
1745	2090	return NULL;
1746	2091	__pyx_L4_argument_unpacking_done:;
1747		__pyx_r = __pyx_pf_5_proj_4Proj_8_inv(((struct __pyx_obj_5_proj_Proj *)__pyx_v_self), __pyx_v_x, __pyx_v_y, __pyx_v_radians, __pyx_v_errcheck);
	2092	__pyx_r = __pyx_pf_5_proj_4Proj_10_inv(((struct __pyx_obj_5_proj_Proj *)__pyx_v_self), __pyx_v_x, __pyx_v_y, __pyx_v_radians, __pyx_v_errcheck);
1748	2093	__Pyx_RefNannyFinishContext();
1749	2094	return __pyx_r;
1750	2095	}
1751	2096
1752		/* "_proj.pyx":153
	2097	/* "_proj.pyx":166
1753	2098	* latsdata[i] = projxyout.v
1754	2099	*
1755	2100	* def _inv(self, object x, object y, radians=False, errcheck=False): # <<<<<<<<<<<<<<

1757	2102	* inverse transformation - x,y to lons,lats (done in place).
1758	2103	*/
1759	2104
1760		static PyObject __pyx_pf_5_proj_4Proj_8_inv(struct __pyx_obj_5_proj_Proj __pyx_v_self, PyObject __pyx_v_x, PyObject __pyx_v_y, PyObject __pyx_v_radians, PyObject __pyx_v_errcheck) {
	2105	static PyObject __pyx_pf_5_proj_4Proj_10_inv(struct __pyx_obj_5_proj_Proj __pyx_v_self, PyObject __pyx_v_x, PyObject __pyx_v_y, PyObject __pyx_v_radians, PyObject __pyx_v_errcheck) {
1761	2106	projUV __pyx_v_projxyin;
1762	2107	projUV __pyx_v_projlonlatout;
1763	2108	Py_ssize_t __pyx_v_buflenx;

1784	2129	int __pyx_clineno = 0;
1785	2130	__Pyx_RefNannySetupContext("_inv", 0);
1786	2131
1787		/* "_proj.pyx":167
	2132	/* "_proj.pyx":180
1788	2133	* cdef double xdatab, ydatab
1789	2134	* # if buffer api is supported, get pointer to data buffers.
1790	2135	* if PyObject_AsWriteBuffer(x, &xdata, &buflenx) <> 0: # <<<<<<<<<<<<<<
1791	2136	* raise RuntimeError
1792	2137	* if PyObject_AsWriteBuffer(y, &ydata, &bufleny) <> 0:
1793	2138	*/
1794		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_x, (&__pyx_v_xdata), (&__pyx_v_buflenx)) != 0);
	2139	__pyx_t_1 = ((PyObject_AsWriteBuffer(__pyx_v_x, (&__pyx_v_xdata), (&__pyx_v_buflenx)) != 0) != 0);
1795	2140	if (__pyx_t_1) {
1796	2141
1797		/* "_proj.pyx":168
	2142	/* "_proj.pyx":181
1798	2143	* # if buffer api is supported, get pointer to data buffers.
1799	2144	* if PyObject_AsWriteBuffer(x, &xdata, &buflenx) <> 0:
1800	2145	* raise RuntimeError # <<<<<<<<<<<<<<

1802	2147	* raise RuntimeError
1803	2148	*/
1804	2149	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
1805		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 168; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2150	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 181; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1806	2151	goto __pyx_L3;
1807	2152	}
1808	2153	__pyx_L3:;
1809	2154
1810		/* "_proj.pyx":169
	2155	/* "_proj.pyx":182
1811	2156	* if PyObject_AsWriteBuffer(x, &xdata, &buflenx) <> 0:
1812	2157	* raise RuntimeError
1813	2158	* if PyObject_AsWriteBuffer(y, &ydata, &bufleny) <> 0: # <<<<<<<<<<<<<<
1814	2159	* raise RuntimeError
1815	2160	* # process data in buffer
1816	2161	*/
1817		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_y, (&__pyx_v_ydata), (&__pyx_v_bufleny)) != 0);
	2162	__pyx_t_1 = ((PyObject_AsWriteBuffer(__pyx_v_y, (&__pyx_v_ydata), (&__pyx_v_bufleny)) != 0) != 0);
1818	2163	if (__pyx_t_1) {
1819	2164
1820		/* "_proj.pyx":170
	2165	/* "_proj.pyx":183
1821	2166	* raise RuntimeError
1822	2167	* if PyObject_AsWriteBuffer(y, &ydata, &bufleny) <> 0:
1823	2168	* raise RuntimeError # <<<<<<<<<<<<<<

1825	2170	* # (for numpy/regular python arrays).
1826	2171	*/
1827	2172	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
1828		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 170; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2173	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 183; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1829	2174	goto __pyx_L4;
1830	2175	}
1831	2176	__pyx_L4:;
1832	2177
1833		/* "_proj.pyx":173
	2178	/* "_proj.pyx":186
1834	2179	* # process data in buffer
1835	2180	* # (for numpy/regular python arrays).
1836	2181	* if buflenx != bufleny: # <<<<<<<<<<<<<<
1837	2182	* raise RuntimeError("Buffer lengths not the same")
1838	2183	* ndim = buflenx//_doublesize
1839	2184	*/
1840		__pyx_t_1 = (__pyx_v_buflenx != __pyx_v_bufleny);
	2185	__pyx_t_1 = ((__pyx_v_buflenx != __pyx_v_bufleny) != 0);
1841	2186	if (__pyx_t_1) {
1842	2187
1843		/* "_proj.pyx":174
	2188	/* "_proj.pyx":187
1844	2189	* # (for numpy/regular python arrays).
1845	2190	* if buflenx != bufleny:
1846	2191	* raise RuntimeError("Buffer lengths not the same") # <<<<<<<<<<<<<<
1847	2192	* ndim = buflenx//_doublesize
1848	2193	* xdatab = <double *>xdata
1849	2194	*/
1850		__pyx_t_2 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_11), NULL); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 174; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2195	__pyx_t_2 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_11), NULL); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 187; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1851	2196	__Pyx_GOTREF(__pyx_t_2);
1852	2197	__Pyx_Raise(__pyx_t_2, 0, 0, 0);
1853	2198	__Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
1854		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 174; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2199	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 187; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1855	2200	goto __pyx_L5;
1856	2201	}
1857	2202	__pyx_L5:;
1858	2203
1859		/* "_proj.pyx":175
	2204	/* "_proj.pyx":188
1860	2205	* if buflenx != bufleny:
1861	2206	* raise RuntimeError("Buffer lengths not the same")
1862	2207	* ndim = buflenx//_doublesize # <<<<<<<<<<<<<<
1863	2208	* xdatab = <double *>xdata
1864	2209	* ydatab = <double *>ydata
1865	2210	*/
1866		__pyx_t_2 = PyInt_FromSsize_t(__pyx_v_buflenx); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 175; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2211	__pyx_t_2 = PyInt_FromSsize_t(__pyx_v_buflenx); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 188; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1867	2212	__Pyx_GOTREF(__pyx_t_2);
1868		__pyx_t_3 = __Pyx_GetName(__pyx_m, __pyx_n_s___doublesize); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 175; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2213	__pyx_t_3 = __Pyx_GetModuleGlobalName(__pyx_n_s___doublesize); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 188; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1869	2214	__Pyx_GOTREF(__pyx_t_3);
1870		__pyx_t_4 = PyNumber_FloorDivide(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 175; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2215	__pyx_t_4 = PyNumber_FloorDivide(__pyx_t_2, __pyx_t_3); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 188; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1871	2216	__Pyx_GOTREF(__pyx_t_4);
1872	2217	__Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;
1873	2218	__Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
1874		__pyx_t_5 = __Pyx_PyIndex_AsSsize_t(__pyx_t_4); if (unlikely((__pyx_t_5 == (Py_ssize_t)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 175; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2219	__pyx_t_5 = __Pyx_PyIndex_AsSsize_t(__pyx_t_4); if (unlikely((__pyx_t_5 == (Py_ssize_t)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 188; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1875	2220	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
1876	2221	__pyx_v_ndim = __pyx_t_5;
1877	2222
1878		/* "_proj.pyx":176
	2223	/* "_proj.pyx":189
1879	2224	* raise RuntimeError("Buffer lengths not the same")
1880	2225	* ndim = buflenx//_doublesize
1881	2226	* xdatab = <double *>xdata # <<<<<<<<<<<<<<

1884	2229	*/
1885	2230	__pyx_v_xdatab = ((double *)__pyx_v_xdata);
1886	2231
1887		/* "_proj.pyx":177
	2232	/* "_proj.pyx":190
1888	2233	* ndim = buflenx//_doublesize
1889	2234	* xdatab = <double *>xdata
1890	2235	* ydatab = <double *>ydata # <<<<<<<<<<<<<<

1893	2238	*/
1894	2239	__pyx_v_ydatab = ((double *)__pyx_v_ydata);
1895	2240
1896		/* "_proj.pyx":178
	2241	/* "_proj.pyx":191
1897	2242	* xdatab = <double *>xdata
1898	2243	* ydatab = <double *>ydata
1899	2244	* for i from 0 <= i < ndim: # <<<<<<<<<<<<<<

1903	2248	__pyx_t_5 = __pyx_v_ndim;
1904	2249	for (__pyx_v_i = 0; __pyx_v_i < __pyx_t_5; __pyx_v_i++) {
1905	2250
1906		/* "_proj.pyx":180
	2251	/* "_proj.pyx":193
1907	2252	* for i from 0 <= i < ndim:
1908	2253	* # if inputs are nan's, return big number.
1909	2254	* if xdatab[i] != xdatab[i] or ydatab[i] != ydatab[i]: # <<<<<<<<<<<<<<
1910	2255	* xdatab[i]=1.e30; ydatab[i]=1.e30
1911	2256	* if errcheck:
1912	2257	*/
1913		__pyx_t_1 = ((__pyx_v_xdatab[__pyx_v_i]) != (__pyx_v_xdatab[__pyx_v_i]));
	2258	__pyx_t_1 = (((__pyx_v_xdatab[__pyx_v_i]) != (__pyx_v_xdatab[__pyx_v_i])) != 0);
1914	2259	if (!__pyx_t_1) {
1915		__pyx_t_6 = ((__pyx_v_ydatab[__pyx_v_i]) != (__pyx_v_ydatab[__pyx_v_i]));
	2260	__pyx_t_6 = (((__pyx_v_ydatab[__pyx_v_i]) != (__pyx_v_ydatab[__pyx_v_i])) != 0);
1916	2261	__pyx_t_7 = __pyx_t_6;
1917	2262	} else {
1918	2263	__pyx_t_7 = __pyx_t_1;
1919	2264	}
1920	2265	if (__pyx_t_7) {
1921	2266
1922		/* "_proj.pyx":181
	2267	/* "_proj.pyx":194
1923	2268	* # if inputs are nan's, return big number.
1924	2269	* if xdatab[i] != xdatab[i] or ydatab[i] != ydatab[i]:
1925	2270	* xdatab[i]=1.e30; ydatab[i]=1.e30 # <<<<<<<<<<<<<<

1929	2274	(__pyx_v_xdatab[__pyx_v_i]) = 1.e30;
1930	2275	(__pyx_v_ydatab[__pyx_v_i]) = 1.e30;
1931	2276
1932		/* "_proj.pyx":182
	2277	/* "_proj.pyx":195
1933	2278	* if xdatab[i] != xdatab[i] or ydatab[i] != ydatab[i]:
1934	2279	* xdatab[i]=1.e30; ydatab[i]=1.e30
1935	2280	* if errcheck: # <<<<<<<<<<<<<<
1936	2281	* raise RuntimeError('projection undefined')
1937	2282	* continue
1938	2283	*/
1939		__pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_v_errcheck); if (unlikely(__pyx_t_7 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 182; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2284	__pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_v_errcheck); if (unlikely(__pyx_t_7 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 195; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1940	2285	if (__pyx_t_7) {
1941	2286
1942		/* "_proj.pyx":183
	2287	/* "_proj.pyx":196
1943	2288	* xdatab[i]=1.e30; ydatab[i]=1.e30
1944	2289	* if errcheck:
1945	2290	* raise RuntimeError('projection undefined') # <<<<<<<<<<<<<<
1946	2291	* continue
1947	2292	* projxyin.u = xdatab[i]
1948	2293	*/
1949		__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_12), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 183; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2294	__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_12), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 196; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1950	2295	__Pyx_GOTREF(__pyx_t_4);
1951	2296	__Pyx_Raise(__pyx_t_4, 0, 0, 0);
1952	2297	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
1953		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 183; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2298	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 196; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
1954	2299	goto __pyx_L9;
1955	2300	}
1956	2301	__pyx_L9:;
1957	2302
1958		/* "_proj.pyx":184
	2303	/* "_proj.pyx":197
1959	2304	* if errcheck:
1960	2305	* raise RuntimeError('projection undefined')
1961	2306	* continue # <<<<<<<<<<<<<<

1967	2312	}
1968	2313	__pyx_L8:;
1969	2314
1970		/* "_proj.pyx":185
	2315	/* "_proj.pyx":198
1971	2316	* raise RuntimeError('projection undefined')
1972	2317	* continue
1973	2318	* projxyin.u = xdatab[i] # <<<<<<<<<<<<<<

1976	2321	*/
1977	2322	__pyx_v_projxyin.u = (__pyx_v_xdatab[__pyx_v_i]);
1978	2323
1979		/* "_proj.pyx":186
	2324	/* "_proj.pyx":199
1980	2325	* continue
1981	2326	* projxyin.u = xdatab[i]
1982	2327	* projxyin.v = ydatab[i] # <<<<<<<<<<<<<<

1985	2330	*/
1986	2331	__pyx_v_projxyin.v = (__pyx_v_ydatab[__pyx_v_i]);
1987	2332
1988		/* "_proj.pyx":187
	2333	/* "_proj.pyx":200
1989	2334	* projxyin.u = xdatab[i]
1990	2335	* projxyin.v = ydatab[i]
1991	2336	* projlonlatout = pj_inv(projxyin,self.projpj) # <<<<<<<<<<<<<<

1994	2339	*/
1995	2340	__pyx_v_projlonlatout = pj_inv(__pyx_v_projxyin, __pyx_v_self->projpj);
1996	2341
1997		/* "_proj.pyx":188
	2342	/* "_proj.pyx":201
1998	2343	* projxyin.v = ydatab[i]
1999	2344	* projlonlatout = pj_inv(projxyin,self.projpj)
2000	2345	* if errcheck: # <<<<<<<<<<<<<<
2001	2346	* err = pj_ctx_get_errno(self.projctx)
2002	2347	* if err != 0:
2003	2348	*/
2004		__pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_v_errcheck); if (unlikely(__pyx_t_7 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 188; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2349	__pyx_t_7 = __Pyx_PyObject_IsTrue(__pyx_v_errcheck); if (unlikely(__pyx_t_7 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 201; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2005	2350	if (__pyx_t_7) {
2006	2351
2007		/* "_proj.pyx":189
	2352	/* "_proj.pyx":202
2008	2353	* projlonlatout = pj_inv(projxyin,self.projpj)
2009	2354	* if errcheck:
2010	2355	* err = pj_ctx_get_errno(self.projctx) # <<<<<<<<<<<<<<

2013	2358	*/
2014	2359	__pyx_v_err = pj_ctx_get_errno(__pyx_v_self->projctx);
2015	2360
2016		/* "_proj.pyx":190
	2361	/* "_proj.pyx":203
2017	2362	* if errcheck:
2018	2363	* err = pj_ctx_get_errno(self.projctx)
2019	2364	* if err != 0: # <<<<<<<<<<<<<<
2020	2365	* raise RuntimeError(pj_strerrno(err))
2021	2366	* # since HUGE_VAL can be 'inf',
2022	2367	*/
2023		__pyx_t_7 = (__pyx_v_err != 0);
	2368	__pyx_t_7 = ((__pyx_v_err != 0) != 0);
2024	2369	if (__pyx_t_7) {
2025	2370
2026		/* "_proj.pyx":191
	2371	/* "_proj.pyx":204
2027	2372	* err = pj_ctx_get_errno(self.projctx)
2028	2373	* if err != 0:
2029	2374	* raise RuntimeError(pj_strerrno(err)) # <<<<<<<<<<<<<<
2030	2375	* # since HUGE_VAL can be 'inf',
2031	2376	* # change it to a real (but very large) number.
2032	2377	*/
2033		__pyx_t_4 = PyBytes_FromString(pj_strerrno(__pyx_v_err)); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 191; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2378	__pyx_t_4 = __Pyx_PyBytes_FromString(pj_strerrno(__pyx_v_err)); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 204; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2034	2379	__Pyx_GOTREF(((PyObject *)__pyx_t_4));
2035		__pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 191; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2380	__pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 204; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2036	2381	__Pyx_GOTREF(__pyx_t_3);
2037	2382	PyTuple_SET_ITEM(__pyx_t_3, 0, ((PyObject *)__pyx_t_4));
2038	2383	__Pyx_GIVEREF(((PyObject *)__pyx_t_4));
2039	2384	__pyx_t_4 = 0;
2040		__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_t_3), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 191; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2385	__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_t_3), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 204; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2041	2386	__Pyx_GOTREF(__pyx_t_4);
2042	2387	__Pyx_DECREF(((PyObject *)__pyx_t_3)); __pyx_t_3 = 0;
2043	2388	__Pyx_Raise(__pyx_t_4, 0, 0, 0);
2044	2389	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
2045		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 191; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2390	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 204; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2046	2391	goto __pyx_L11;
2047	2392	}
2048	2393	__pyx_L11:;

2050	2395	}
2051	2396	__pyx_L10:;
2052	2397
2053		/* "_proj.pyx":195
	2398	/* "_proj.pyx":208
2054	2399	* # change it to a real (but very large) number.
2055	2400	* # also check for NaNs.
2056	2401	* if projlonlatout.u == HUGE_VAL or \ # <<<<<<<<<<<<<<
2057	2402	* projlonlatout.u != projlonlatout.u:
2058	2403	* if errcheck:
2059	2404	*/
2060		__pyx_t_7 = (__pyx_v_projlonlatout.u == HUGE_VAL);
	2405	__pyx_t_7 = ((__pyx_v_projlonlatout.u == HUGE_VAL) != 0);
2061	2406	if (!__pyx_t_7) {
2062	2407
2063		/* "_proj.pyx":196
	2408	/* "_proj.pyx":209
2064	2409	* # also check for NaNs.
2065	2410	* if projlonlatout.u == HUGE_VAL or \
2066	2411	* projlonlatout.u != projlonlatout.u: # <<<<<<<<<<<<<<
2067	2412	* if errcheck:
2068	2413	* raise RuntimeError('projection undefined')
2069	2414	*/
2070		__pyx_t_1 = (__pyx_v_projlonlatout.u != __pyx_v_projlonlatout.u);
	2415	__pyx_t_1 = ((__pyx_v_projlonlatout.u != __pyx_v_projlonlatout.u) != 0);
2071	2416	__pyx_t_6 = __pyx_t_1;
2072	2417	} else {
2073	2418	__pyx_t_6 = __pyx_t_7;
2074	2419	}
2075	2420	if (__pyx_t_6) {
2076	2421
2077		/* "_proj.pyx":197
	2422	/* "_proj.pyx":210
2078	2423	* if projlonlatout.u == HUGE_VAL or \
2079	2424	* projlonlatout.u != projlonlatout.u:
2080	2425	* if errcheck: # <<<<<<<<<<<<<<
2081	2426	* raise RuntimeError('projection undefined')
2082	2427	* xdatab[i] = 1.e30
2083	2428	*/
2084		__pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_v_errcheck); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 197; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2429	__pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_v_errcheck); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 210; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2085	2430	if (__pyx_t_6) {
2086	2431
2087		/* "_proj.pyx":198
	2432	/* "_proj.pyx":211
2088	2433	* projlonlatout.u != projlonlatout.u:
2089	2434	* if errcheck:
2090	2435	* raise RuntimeError('projection undefined') # <<<<<<<<<<<<<<
2091	2436	* xdatab[i] = 1.e30
2092	2437	* elif radians:
2093	2438	*/
2094		__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_13), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 198; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2439	__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_13), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 211; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2095	2440	__Pyx_GOTREF(__pyx_t_4);
2096	2441	__Pyx_Raise(__pyx_t_4, 0, 0, 0);
2097	2442	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
2098		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 198; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2443	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 211; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2099	2444	goto __pyx_L13;
2100	2445	}
2101	2446	__pyx_L13:;
2102	2447
2103		/* "_proj.pyx":199
	2448	/* "_proj.pyx":212
2104	2449	* if errcheck:
2105	2450	* raise RuntimeError('projection undefined')
2106	2451	* xdatab[i] = 1.e30 # <<<<<<<<<<<<<<

2111	2456	goto __pyx_L12;
2112	2457	}
2113	2458
2114		/* "_proj.pyx":200
	2459	/* "_proj.pyx":213
2115	2460	* raise RuntimeError('projection undefined')
2116	2461	* xdatab[i] = 1.e30
2117	2462	* elif radians: # <<<<<<<<<<<<<<
2118	2463	* xdatab[i] = projlonlatout.u
2119	2464	* else:
2120	2465	*/
2121		__pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 200; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	2466	__pyx_t_6 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_6 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 213; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2122	2467	if (__pyx_t_6) {
2123	2468
2124		/* "_proj.pyx":201
	2469	/* "_proj.pyx":214
2125	2470	* xdatab[i] = 1.e30
2126	2471	* elif radians:
2127	2472	* xdatab[i] = projlonlatout.u # <<<<<<<<<<<<<<

2134	2479	}
2135	2480	/else/ {
2136	2481
2137		/* "_proj.pyx":203
	2482	/* "_proj.pyx":216
2138	2483	* xdatab[i] = projlonlatout.u
2139	2484	* else:
2140	2485	* xdatab[i] = _rad2dg*projlonlatout.u # <<<<<<<<<<<<<<

2145	2490	}
2146	2491	__pyx_L12:;
2147	2492
2148		/* "_proj.pyx":204
	2493	/* "_proj.pyx":217
2149	2494	* else:
2150	2495	* xdatab[i] = _rad2dg*projlonlatout.u
2151	2496	* if projlonlatout.v == HUGE_VAL or \ # <<<<<<<<<<<<<<
2152	2497	* projlonlatout.v != projlonlatout.v:
2153	2498	* if errcheck:
2154	2499	*/
2155		__pyx_t_6 = (__pyx_v_projlonlatout.v == HUGE_VAL);
	2500	__pyx_t_6 = ((__pyx_v_projlonlatout.v == HUGE_VAL) != 0);
2156	2501	if (!__pyx_t_6) {
2157	2502
2158		/* "_proj.pyx":205
	2503	/* "_proj.pyx":218
2159	2504	* xdatab[i] = _rad2dg*projlonlatout.u
2160	2505	* if projlonlatout.v == HUGE_VAL or \
2161	2506	* projlonlatout.v != projlonlatout.v: # <<<<<<<<<<<<<<
2162	2507	* if errcheck:
2163	2508	* raise RuntimeError('projection undefined')
2164	2509	*/
2165		__pyx_t_7 = (__pyx_v_projlonlatout.v != __pyx_v_projlonlatout.v);
	2510	__pyx_t_7 = ((__pyx_v_projlonlatout.v != __pyx_v_projlonlatout.v) != 0);
2166	2511	__pyx_t_1 = __pyx_t_7;
2167	2512	} else {
2168	2513	__pyx_t_1 = __pyx_t_6;
2169	2514	}
2170	2515	if (__pyx_t_1) {
2171	2516
2172		/* "_proj.pyx":206
	2517	/* "_proj.pyx":219
2173	2518	* if projlonlatout.v == HUGE_VAL or \
2174	2519	* projlonlatout.v != projlonlatout.v:
2175	2520	* if errcheck: # <<<<<<<<<<<<<<
2176	2521	* raise RuntimeError('projection undefined')
2177	2522	* ydatab[i] = 1.e30
2178	2523	*/
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2187	2532	* elif radians:
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2194	2539	goto __pyx_L15;
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2196	2541	__pyx_L15:;
2197	2542
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2206	2551	goto __pyx_L14;
2207	2552	}
2208	2553
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2229	2574	}
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2231	2576
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2275	2620	* cdef int i
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2322	2669
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2326	2673	* return False # <<<<<<<<<<<<<<

2328	2675	* def is_geocent(self):
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2333		__pyx_r = __pyx_t_1;
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2367	2714	* cdef int i
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2370		static PyObject __pyx_pf_5_proj_4Proj_12is_geocent(struct __pyx_obj_5_proj_Proj __pyx_v_self) {
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2429	2778	__pyx_L3:;

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2434		__Pyx_XDECREF(__pyx_t_1);
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2455	2804	* cdef projPJ projpj
2456	2805	* cdef projCtx projctx
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2538	2887	return __pyx_r;
2539	2888	}
2540	2889
2541		/* "_proj.pyx":67
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2542	2891	* cdef public object proj_version
2543	2892	* cdef char *pjinitstring
2544	2893	* cdef public object srs # <<<<<<<<<<<<<<

2615	2964	}
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2621	2970	struct __pyx_obj_5_proj_Proj *__pyx_v_p1 = 0;
2622	2971	struct __pyx_obj_5_proj_Proj *__pyx_v_p2 = 0;
2623	2972	PyObject *__pyx_v_inx = 0;
2624	2973	PyObject *__pyx_v_iny = 0;
2625	2974	PyObject *__pyx_v_inz = 0;
2626	2975	PyObject *__pyx_v_radians = 0;
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2654		__Pyx_RaiseArgtupleInvalid("_transform", 1, 6, 6, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 309; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
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2655	3007	}
2656	3008	case 2:
2657	3009	if (likely((values[2] = PyDict_GetItem(__pyx_kwds, __pyx_n_s__inx)) != 0)) kw_args--;
2658	3010	else {
2659		__Pyx_RaiseArgtupleInvalid("_transform", 1, 6, 6, 2); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 309; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
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2660	3012	}
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	3026	__Pyx_RaiseArgtupleInvalid("_transform", 1, 6, 6, 5); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 322; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
2675	3027	}
2676	3028	}
2677	3029	if (unlikely(kw_args > 0)) {
2678		if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_transform") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 309; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	3030	if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_transform") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 322; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
2679	3031	}
2680	3032	} else if (PyTuple_GET_SIZE(__pyx_args) != 6) {
2681	3033	goto __pyx_L5_argtuple_error;

2696	3048	}
2697	3049	goto __pyx_L4_argument_unpacking_done;
2698	3050	__pyx_L5_argtuple_error:;
2699		__Pyx_RaiseArgtupleInvalid("_transform", 1, 6, 6, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 309; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	3051	__Pyx_RaiseArgtupleInvalid("_transform", 1, 6, 6, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 322; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
2700	3052	__pyx_L3_error:;
2701	3053	__Pyx_AddTraceback("_proj._transform", __pyx_clineno, __pyx_lineno, __pyx_filename);
2702	3054	__Pyx_RefNannyFinishContext();
2703	3055	return NULL;
2704	3056	__pyx_L4_argument_unpacking_done:;
2705		if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_p1), __pyx_ptype_5_proj_Proj, 1, "p1", 0))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 309; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2706		if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_p2), __pyx_ptype_5_proj_Proj, 1, "p2", 0))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 309; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2707		__pyx_r = __pyx_pf_5_proj_2_transform(__pyx_self, __pyx_v_p1, __pyx_v_p2, __pyx_v_inx, __pyx_v_iny, __pyx_v_inz, __pyx_v_radians);
	3057	if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_p1), __pyx_ptype_5_proj_Proj, 1, "p1", 0))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 322; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3058	if (unlikely(!__Pyx_ArgTypeTest(((PyObject *)__pyx_v_p2), __pyx_ptype_5_proj_Proj, 1, "p2", 0))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 322; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3059	__pyx_r = __pyx_pf_5_proj_4_transform(__pyx_self, __pyx_v_p1, __pyx_v_p2, __pyx_v_inx, __pyx_v_iny, __pyx_v_inz, __pyx_v_radians);
2708	3060	goto __pyx_L0;
2709	3061	__pyx_L1_error:;
2710	3062	__pyx_r = NULL;

2713	3065	return __pyx_r;
2714	3066	}
2715	3067
2716		/* "_proj.pyx":309
	3068	/* "_proj.pyx":322
2717	3069	* return False
2718	3070	*
2719	3071	* def _transform(Proj p1, Proj p2, inx, iny, inz, radians): # <<<<<<<<<<<<<<

2721	3073	* cdef void xdata, ydata, *zdata
2722	3074	*/
2723	3075
2724		static PyObject __pyx_pf_5_proj_2_transform(CYTHON_UNUSED PyObject __pyx_self, struct __pyx_obj_5_proj_Proj __pyx_v_p1, struct __pyx_obj_5_proj_Proj __pyx_v_p2, PyObject __pyx_v_inx, PyObject __pyx_v_iny, PyObject __pyx_v_inz, PyObject __pyx_v_radians) {
	3076	static PyObject __pyx_pf_5_proj_4_transform(CYTHON_UNUSED PyObject __pyx_self, struct __pyx_obj_5_proj_Proj __pyx_v_p1, struct __pyx_obj_5_proj_Proj __pyx_v_p2, PyObject __pyx_v_inx, PyObject __pyx_v_iny, PyObject __pyx_v_inz, PyObject __pyx_v_radians) {
2725	3077	void *__pyx_v_xdata;
2726	3078	void *__pyx_v_ydata;
2727	3079	void *__pyx_v_zdata;

2747	3099	int __pyx_clineno = 0;
2748	3100	__Pyx_RefNannySetupContext("_transform", 0);
2749	3101
2750		/* "_proj.pyx":315
	3102	/* "_proj.pyx":328
2751	3103	* cdef Py_ssize_t buflenx, bufleny, buflenz, npts, i
2752	3104	* cdef int err
2753	3105	* if PyObject_AsWriteBuffer(inx, &xdata, &buflenx) <> 0: # <<<<<<<<<<<<<<
2754	3106	* raise RuntimeError
2755	3107	* if PyObject_AsWriteBuffer(iny, &ydata, &bufleny) <> 0:
2756	3108	*/
2757		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_inx, (&__pyx_v_xdata), (&__pyx_v_buflenx)) != 0);
	3109	__pyx_t_1 = ((PyObject_AsWriteBuffer(__pyx_v_inx, (&__pyx_v_xdata), (&__pyx_v_buflenx)) != 0) != 0);
2758	3110	if (__pyx_t_1) {
2759	3111
2760		/* "_proj.pyx":316
	3112	/* "_proj.pyx":329
2761	3113	* cdef int err
2762	3114	* if PyObject_AsWriteBuffer(inx, &xdata, &buflenx) <> 0:
2763	3115	* raise RuntimeError # <<<<<<<<<<<<<<

2765	3117	* raise RuntimeError
2766	3118	*/
2767	3119	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
2768		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 316; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3120	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 329; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2769	3121	goto __pyx_L3;
2770	3122	}
2771	3123	__pyx_L3:;
2772	3124
2773		/* "_proj.pyx":317
	3125	/* "_proj.pyx":330
2774	3126	* if PyObject_AsWriteBuffer(inx, &xdata, &buflenx) <> 0:
2775	3127	* raise RuntimeError
2776	3128	* if PyObject_AsWriteBuffer(iny, &ydata, &bufleny) <> 0: # <<<<<<<<<<<<<<
2777	3129	* raise RuntimeError
2778	3130	* if inz is not None:
2779	3131	*/
2780		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_iny, (&__pyx_v_ydata), (&__pyx_v_bufleny)) != 0);
	3132	__pyx_t_1 = ((PyObject_AsWriteBuffer(__pyx_v_iny, (&__pyx_v_ydata), (&__pyx_v_bufleny)) != 0) != 0);
2781	3133	if (__pyx_t_1) {
2782	3134
2783		/* "_proj.pyx":318
	3135	/* "_proj.pyx":331
2784	3136	* raise RuntimeError
2785	3137	* if PyObject_AsWriteBuffer(iny, &ydata, &bufleny) <> 0:
2786	3138	* raise RuntimeError # <<<<<<<<<<<<<<

2788	3140	* if PyObject_AsWriteBuffer(inz, &zdata, &buflenz) <> 0:
2789	3141	*/
2790	3142	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
2791		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 318; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3143	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 331; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2792	3144	goto __pyx_L4;
2793	3145	}
2794	3146	__pyx_L4:;
2795	3147
2796		/* "_proj.pyx":319
	3148	/* "_proj.pyx":332
2797	3149	* if PyObject_AsWriteBuffer(iny, &ydata, &bufleny) <> 0:
2798	3150	* raise RuntimeError
2799	3151	* if inz is not None: # <<<<<<<<<<<<<<

2801	3153	* raise RuntimeError
2802	3154	*/
2803	3155	__pyx_t_1 = (__pyx_v_inz != Py_None);
2804		if (__pyx_t_1) {
2805
2806		/* "_proj.pyx":320
	3156	__pyx_t_2 = (__pyx_t_1 != 0);
	3157	if (__pyx_t_2) {
	3158
	3159	/* "_proj.pyx":333
2807	3160	* raise RuntimeError
2808	3161	* if inz is not None:
2809	3162	* if PyObject_AsWriteBuffer(inz, &zdata, &buflenz) <> 0: # <<<<<<<<<<<<<<
2810	3163	* raise RuntimeError
2811	3164	* else:
2812	3165	*/
2813		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_inz, (&__pyx_v_zdata), (&__pyx_v_buflenz)) != 0);
2814		if (__pyx_t_1) {
2815
2816		/* "_proj.pyx":321
	3166	__pyx_t_2 = ((PyObject_AsWriteBuffer(__pyx_v_inz, (&__pyx_v_zdata), (&__pyx_v_buflenz)) != 0) != 0);
	3167	if (__pyx_t_2) {
	3168
	3169	/* "_proj.pyx":334
2817	3170	* if inz is not None:
2818	3171	* if PyObject_AsWriteBuffer(inz, &zdata, &buflenz) <> 0:
2819	3172	* raise RuntimeError # <<<<<<<<<<<<<<

2821	3174	* buflenz = bufleny
2822	3175	*/
2823	3176	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
2824		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 321; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3177	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 334; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2825	3178	goto __pyx_L6;
2826	3179	}
2827	3180	__pyx_L6:;

2829	3182	}
2830	3183	/else/ {
2831	3184
2832		/* "_proj.pyx":323
	3185	/* "_proj.pyx":336
2833	3186	* raise RuntimeError
2834	3187	* else:
2835	3188	* buflenz = bufleny # <<<<<<<<<<<<<<

2840	3193	}
2841	3194	__pyx_L5:;
2842	3195
2843		/* "_proj.pyx":324
	3196	/* "_proj.pyx":337
2844	3197	* else:
2845	3198	* buflenz = bufleny
2846	3199	* if not (buflenx == bufleny == buflenz): # <<<<<<<<<<<<<<
2847	3200	* raise RuntimeError('x,y and z must be same size')
2848	3201	* xx = <double *>xdata
2849	3202	*/
2850		__pyx_t_1 = (__pyx_v_buflenx == __pyx_v_bufleny);
	3203	__pyx_t_2 = (__pyx_v_buflenx == __pyx_v_bufleny);
	3204	if (__pyx_t_2) {
	3205	__pyx_t_2 = (__pyx_v_bufleny == __pyx_v_buflenz);
	3206	}
	3207	__pyx_t_1 = ((!(__pyx_t_2 != 0)) != 0);
2851	3208	if (__pyx_t_1) {
2852		__pyx_t_1 = (__pyx_v_bufleny == __pyx_v_buflenz);
2853		}
2854		__pyx_t_2 = (!__pyx_t_1);
2855		if (__pyx_t_2) {
2856
2857		/* "_proj.pyx":325
	3209
	3210	/* "_proj.pyx":338
2858	3211	* buflenz = bufleny
2859	3212	* if not (buflenx == bufleny == buflenz):
2860	3213	* raise RuntimeError('x,y and z must be same size') # <<<<<<<<<<<<<<
2861	3214	* xx = <double *>xdata
2862	3215	* yy = <double *>ydata
2863	3216	*/
2864		__pyx_t_3 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_16), NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 325; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3217	__pyx_t_3 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_16), NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 338; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2865	3218	__Pyx_GOTREF(__pyx_t_3);
2866	3219	__Pyx_Raise(__pyx_t_3, 0, 0, 0);
2867	3220	__Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
2868		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 325; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3221	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 338; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2869	3222	goto __pyx_L7;
2870	3223	}
2871	3224	__pyx_L7:;
2872	3225
2873		/* "_proj.pyx":326
	3226	/* "_proj.pyx":339
2874	3227	* if not (buflenx == bufleny == buflenz):
2875	3228	* raise RuntimeError('x,y and z must be same size')
2876	3229	* xx = <double *>xdata # <<<<<<<<<<<<<<

2879	3232	*/
2880	3233	__pyx_v_xx = ((double *)__pyx_v_xdata);
2881	3234
2882		/* "_proj.pyx":327
	3235	/* "_proj.pyx":340
2883	3236	* raise RuntimeError('x,y and z must be same size')
2884	3237	* xx = <double *>xdata
2885	3238	* yy = <double *>ydata # <<<<<<<<<<<<<<

2888	3241	*/
2889	3242	__pyx_v_yy = ((double *)__pyx_v_ydata);
2890	3243
2891		/* "_proj.pyx":328
	3244	/* "_proj.pyx":341
2892	3245	* xx = <double *>xdata
2893	3246	* yy = <double *>ydata
2894	3247	* if inz is not None: # <<<<<<<<<<<<<<
2895	3248	* zz = <double *>zdata
2896	3249	* npts = buflenx/8
2897	3250	*/
2898		__pyx_t_2 = (__pyx_v_inz != Py_None);
	3251	__pyx_t_1 = (__pyx_v_inz != Py_None);
	3252	__pyx_t_2 = (__pyx_t_1 != 0);
2899	3253	if (__pyx_t_2) {
2900	3254
2901		/* "_proj.pyx":329
	3255	/* "_proj.pyx":342
2902	3256	* yy = <double *>ydata
2903	3257	* if inz is not None:
2904	3258	* zz = <double *>zdata # <<<<<<<<<<<<<<

2910	3264	}
2911	3265	__pyx_L8:;
2912	3266
2913		/* "_proj.pyx":330
	3267	/* "_proj.pyx":343
2914	3268	* if inz is not None:
2915	3269	* zz = <double *>zdata
2916	3270	* npts = buflenx/8 # <<<<<<<<<<<<<<

2919	3273	*/
2920	3274	__pyx_v_npts = __Pyx_div_Py_ssize_t(__pyx_v_buflenx, 8);
2921	3275
2922		/* "_proj.pyx":331
	3276	/* "_proj.pyx":344
2923	3277	* zz = <double *>zdata
2924	3278	* npts = buflenx/8
2925	3279	* if not radians and p1.is_latlong(): # <<<<<<<<<<<<<<
2926	3280	* for i from 0 <= i < npts:
2927	3281	* xx[i] = xx[i]*_dg2rad
2928	3282	*/
2929		__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 331; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3283	__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 344; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2930	3284	__pyx_t_1 = (!__pyx_t_2);
2931	3285	if (__pyx_t_1) {
2932		__pyx_t_3 = PyObject_GetAttr(((PyObject *)__pyx_v_p1), __pyx_n_s__is_latlong); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 331; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3286	__pyx_t_3 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_p1), __pyx_n_s__is_latlong); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 344; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2933	3287	__Pyx_GOTREF(__pyx_t_3);
2934		__pyx_t_4 = PyObject_Call(__pyx_t_3, ((PyObject *)__pyx_empty_tuple), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 331; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3288	__pyx_t_4 = PyObject_Call(__pyx_t_3, ((PyObject *)__pyx_empty_tuple), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 344; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2935	3289	__Pyx_GOTREF(__pyx_t_4);
2936	3290	__Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
2937		__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 331; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3291	__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_t_4); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 344; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
2938	3292	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
2939	3293	__pyx_t_5 = __pyx_t_2;
2940	3294	} else {

2942	3296	}
2943	3297	if (__pyx_t_5) {
2944	3298
2945		/* "_proj.pyx":332
	3299	/* "_proj.pyx":345
2946	3300	* npts = buflenx/8
2947	3301	* if not radians and p1.is_latlong():
2948	3302	* for i from 0 <= i < npts: # <<<<<<<<<<<<<<

2952	3306	__pyx_t_6 = __pyx_v_npts;
2953	3307	for (__pyx_v_i = 0; __pyx_v_i < __pyx_t_6; __pyx_v_i++) {
2954	3308
2955		/* "_proj.pyx":333
	3309	/* "_proj.pyx":346
2956	3310	* if not radians and p1.is_latlong():
2957	3311	* for i from 0 <= i < npts:
2958	3312	* xx[i] = xx[i]*_dg2rad # <<<<<<<<<<<<<<

2961	3315	*/
2962	3316	(__pyx_v_xx[__pyx_v_i]) = ((__pyx_v_xx[__pyx_v_i]) * __pyx_v_5_proj__dg2rad);
2963	3317
2964		/* "_proj.pyx":334
	3318	/* "_proj.pyx":347
2965	3319	* for i from 0 <= i < npts:
2966	3320	* xx[i] = xx[i]*_dg2rad
2967	3321	* yy[i] = yy[i]*_dg2rad # <<<<<<<<<<<<<<

2974	3328	}
2975	3329	__pyx_L9:;
2976	3330
2977		/* "_proj.pyx":335
	3331	/* "_proj.pyx":348
2978	3332	* xx[i] = xx[i]*_dg2rad
2979	3333	* yy[i] = yy[i]*_dg2rad
2980	3334	* if inz is not None: # <<<<<<<<<<<<<<

2982	3336	* else:
2983	3337	*/
2984	3338	__pyx_t_5 = (__pyx_v_inz != Py_None);
2985		if (__pyx_t_5) {
2986
2987		/* "_proj.pyx":336
	3339	__pyx_t_1 = (__pyx_t_5 != 0);
	3340	if (__pyx_t_1) {
	3341
	3342	/* "_proj.pyx":349
2988	3343	* yy[i] = yy[i]*_dg2rad
2989	3344	* if inz is not None:
2990	3345	* err = pj_transform(p1.projpj, p2.projpj, npts, 0, xx, yy, zz) # <<<<<<<<<<<<<<

2996	3351	}
2997	3352	/else/ {
2998	3353
2999		/* "_proj.pyx":338
	3354	/* "_proj.pyx":351
3000	3355	* err = pj_transform(p1.projpj, p2.projpj, npts, 0, xx, yy, zz)
3001	3356	* else:
3002	3357	* err = pj_transform(p1.projpj, p2.projpj, npts, 0, xx, yy, NULL) # <<<<<<<<<<<<<<

3007	3362	}
3008	3363	__pyx_L12:;
3009	3364
3010		/* "_proj.pyx":339
	3365	/* "_proj.pyx":352
3011	3366	* else:
3012	3367	* err = pj_transform(p1.projpj, p2.projpj, npts, 0, xx, yy, NULL)
3013	3368	* if err != 0: # <<<<<<<<<<<<<<
3014	3369	* raise RuntimeError(pj_strerrno(err))
3015	3370	* if not radians and p2.is_latlong():
3016	3371	*/
3017		__pyx_t_5 = (__pyx_v_err != 0);
3018		if (__pyx_t_5) {
3019
3020		/* "_proj.pyx":340
	3372	__pyx_t_1 = ((__pyx_v_err != 0) != 0);
	3373	if (__pyx_t_1) {
	3374
	3375	/* "_proj.pyx":353
3021	3376	* err = pj_transform(p1.projpj, p2.projpj, npts, 0, xx, yy, NULL)
3022	3377	* if err != 0:
3023	3378	* raise RuntimeError(pj_strerrno(err)) # <<<<<<<<<<<<<<
3024	3379	* if not radians and p2.is_latlong():
3025	3380	* for i from 0 <= i < npts:
3026	3381	*/
3027		__pyx_t_4 = PyBytes_FromString(pj_strerrno(__pyx_v_err)); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 340; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3382	__pyx_t_4 = __Pyx_PyBytes_FromString(pj_strerrno(__pyx_v_err)); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 353; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3028	3383	__Pyx_GOTREF(((PyObject *)__pyx_t_4));
3029		__pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 340; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3384	__pyx_t_3 = PyTuple_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 353; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3030	3385	__Pyx_GOTREF(__pyx_t_3);
3031	3386	PyTuple_SET_ITEM(__pyx_t_3, 0, ((PyObject *)__pyx_t_4));
3032	3387	__Pyx_GIVEREF(((PyObject *)__pyx_t_4));
3033	3388	__pyx_t_4 = 0;
3034		__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_t_3), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 340; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3389	__pyx_t_4 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_t_3), NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 353; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3035	3390	__Pyx_GOTREF(__pyx_t_4);
3036	3391	__Pyx_DECREF(((PyObject *)__pyx_t_3)); __pyx_t_3 = 0;
3037	3392	__Pyx_Raise(__pyx_t_4, 0, 0, 0);
3038	3393	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
3039		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 340; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3394	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 353; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3040	3395	goto __pyx_L13;
3041	3396	}
3042	3397	__pyx_L13:;
3043	3398
3044		/* "_proj.pyx":341
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3045	3400	* if err != 0:
3046	3401	* raise RuntimeError(pj_strerrno(err))
3047	3402	* if not radians and p2.is_latlong(): # <<<<<<<<<<<<<<
3048	3403	* for i from 0 <= i < npts:
3049	3404	* xx[i] = xx[i]*_rad2dg
3050	3405	*/
3051		__pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_5 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 341; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3052		__pyx_t_1 = (!__pyx_t_5);
3053		if (__pyx_t_1) {
3054		__pyx_t_4 = PyObject_GetAttr(((PyObject *)__pyx_v_p2), __pyx_n_s__is_latlong); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 341; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3406	__pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_1 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 354; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3407	__pyx_t_5 = (!__pyx_t_1);
	3408	if (__pyx_t_5) {
	3409	__pyx_t_4 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_p2), __pyx_n_s__is_latlong); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 354; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3055	3410	__Pyx_GOTREF(__pyx_t_4);
3056		__pyx_t_3 = PyObject_Call(__pyx_t_4, ((PyObject *)__pyx_empty_tuple), NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 341; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3411	__pyx_t_3 = PyObject_Call(__pyx_t_4, ((PyObject *)__pyx_empty_tuple), NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 354; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3057	3412	__Pyx_GOTREF(__pyx_t_3);
3058	3413	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
3059		__pyx_t_5 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_5 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 341; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3414	__pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_t_3); if (unlikely(__pyx_t_1 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 354; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3060	3415	__Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
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3061	3418	__pyx_t_2 = __pyx_t_5;
3062		} else {
3063		__pyx_t_2 = __pyx_t_1;
3064	3419	}
3065	3420	if (__pyx_t_2) {
3066	3421
3067		/* "_proj.pyx":342
	3422	/* "_proj.pyx":355
3068	3423	* raise RuntimeError(pj_strerrno(err))
3069	3424	* if not radians and p2.is_latlong():
3070	3425	* for i from 0 <= i < npts: # <<<<<<<<<<<<<<

3074	3429	__pyx_t_6 = __pyx_v_npts;
3075	3430	for (__pyx_v_i = 0; __pyx_v_i < __pyx_t_6; __pyx_v_i++) {
3076	3431
3077		/* "_proj.pyx":343
	3432	/* "_proj.pyx":356
3078	3433	* if not radians and p2.is_latlong():
3079	3434	* for i from 0 <= i < npts:
3080	3435	* xx[i] = xx[i]*_rad2dg # <<<<<<<<<<<<<<

3083	3438	*/
3084	3439	(__pyx_v_xx[__pyx_v_i]) = ((__pyx_v_xx[__pyx_v_i]) * __pyx_v_5_proj__rad2dg);
3085	3440
3086		/* "_proj.pyx":344
	3441	/* "_proj.pyx":357
3087	3442	* for i from 0 <= i < npts:
3088	3443	* xx[i] = xx[i]*_rad2dg
3089	3444	* yy[i] = yy[i]*_rad2dg # <<<<<<<<<<<<<<

3109	3464	return __pyx_r;
3110	3465	}
3111	3466
3112		/* "_proj.pyx":346
	3467	/* "_proj.pyx":359
3113	3468	* yy[i] = yy[i]*_rad2dg
3114	3469	*
3115	3470	* cdef _strencode(pystr,encoding='ascii'): # <<<<<<<<<<<<<<

3138	3493	}
3139	3494	}
3140	3495
3141		/* "_proj.pyx":348
	3496	/* "_proj.pyx":361
3142	3497	* cdef _strencode(pystr,encoding='ascii'):
3143	3498	* # encode a string into bytes. If already bytes, do nothing.
3144	3499	* try: # <<<<<<<<<<<<<<

3152	3507	__Pyx_XGOTREF(__pyx_t_3);
3153	3508	/try:/ {
3154	3509
3155		/* "_proj.pyx":349
	3510	/* "_proj.pyx":362
3156	3511	* # encode a string into bytes. If already bytes, do nothing.
3157	3512	* try:
3158	3513	* return pystr.encode(encoding) # <<<<<<<<<<<<<<

3160	3515	* return pystr # already bytes?
3161	3516	*/
3162	3517	__Pyx_XDECREF(__pyx_r);
3163		__pyx_t_4 = PyObject_GetAttr(__pyx_v_pystr, __pyx_n_s__encode); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 349; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	3518	__pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_v_pystr, __pyx_n_s__encode); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 362; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
3164	3519	__Pyx_GOTREF(__pyx_t_4);
3165		__pyx_t_5 = PyTuple_New(1); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 349; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	3520	__pyx_t_5 = PyTuple_New(1); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 362; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
3166	3521	__Pyx_GOTREF(__pyx_t_5);
3167	3522	__Pyx_INCREF(__pyx_v_encoding);
3168	3523	PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_encoding);
3169	3524	__Pyx_GIVEREF(__pyx_v_encoding);
3170		__pyx_t_6 = PyObject_Call(__pyx_t_4, ((PyObject *)__pyx_t_5), NULL); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 349; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	3525	__pyx_t_6 = PyObject_Call(__pyx_t_4, ((PyObject *)__pyx_t_5), NULL); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 362; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
3171	3526	__Pyx_GOTREF(__pyx_t_6);
3172	3527	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
3173	3528	__Pyx_DECREF(((PyObject *)__pyx_t_5)); __pyx_t_5 = 0;

3190	3545	__Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
3191	3546	__Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
3192	3547
3193		/* "_proj.pyx":350
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3194	3549	* try:
3195	3550	* return pystr.encode(encoding)
3196	3551	* except AttributeError: # <<<<<<<<<<<<<<

3200	3555	__pyx_t_7 = PyErr_ExceptionMatches(__pyx_builtin_AttributeError);
3201	3556	if (__pyx_t_7) {
3202	3557	__Pyx_AddTraceback("_proj._strencode", __pyx_clineno, __pyx_lineno, __pyx_filename);
3203		if (__Pyx_GetException(&__pyx_t_6, &__pyx_t_5, &__pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 350; __pyx_clineno = __LINE__; goto __pyx_L5_except_error;}
	3558	if (__Pyx_GetException(&__pyx_t_6, &__pyx_t_5, &__pyx_t_4) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 363; __pyx_clineno = __LINE__; goto __pyx_L5_except_error;}
3204	3559	__Pyx_GOTREF(__pyx_t_6);
3205	3560	__Pyx_GOTREF(__pyx_t_5);
3206	3561	__Pyx_GOTREF(__pyx_t_4);
3207	3562
3208		/* "_proj.pyx":351
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3209	3564	* return pystr.encode(encoding)
3210	3565	* except AttributeError:
3211	3566	* return pystr # already bytes? # <<<<<<<<<<<<<<

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3265	3620	PyObject *__pyx_v_f = 0;
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3303	3661	}
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3306		__Pyx_RaiseArgtupleInvalid("__cinit__", 1, 2, 2, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 357; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
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3307	3665	__pyx_L3_error:;
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3316	3674
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3320	3678	* def __cinit__(self, a, f): # <<<<<<<<<<<<<<
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3324	3682
3325	3683	static int __pyx_pf_5_proj_4Geod___cinit__(struct __pyx_obj_5_proj_Geod __pyx_v_self, PyObject __pyx_v_a, PyObject *__pyx_v_f) {

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3336	3694
3337		/* "_proj.pyx":358
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3345	3703	__Pyx_GOTREF(__pyx_t_1);
3346	3704	__Pyx_INCREF(__pyx_v_a);
3347	3705	PyTuple_SET_ITEM(__pyx_t_1, 0, __pyx_v_a);

3349	3707	__Pyx_INCREF(__pyx_v_f);
3350	3708	PyTuple_SET_ITEM(__pyx_t_1, 1, __pyx_v_f);
3351	3709	__Pyx_GIVEREF(__pyx_v_f);
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3353	3711	__Pyx_GOTREF(((PyObject *)__pyx_t_2));
3354	3712	__Pyx_DECREF(((PyObject *)__pyx_t_1)); __pyx_t_1 = 0;
3355	3713	__Pyx_GIVEREF(((PyObject *)__pyx_t_2));

3358	3716	__pyx_v_self->initstring = ((PyObject *)__pyx_t_2);
3359	3717	__pyx_t_2 = 0;
3360	3718
3361		/* "_proj.pyx":359
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3362	3720	* def __cinit__(self, a, f):
3363	3721	* self.initstring = '+a=%s +f=%s' % (a, f)
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3365	3723	*
3366	3724	* def __reduce__(self):
3367	3725	*/
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3369		__pyx_t_4 = __pyx_PyFloat_AsDouble(__pyx_v_f); if (unlikely((__pyx_t_4 == (double)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 359; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3370		GeodesicInit((&__pyx_v_self->_Geodesic), ((double)__pyx_t_3), ((double)__pyx_t_4));
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	3728	geod_init((&__pyx_v_self->_geod_geodesic), ((double)__pyx_t_3), ((double)__pyx_t_4));
3371	3729
3372	3730	__pyx_r = 0;
3373	3731	goto __pyx_L0;

3393	3751	return __pyx_r;
3394	3752	}
3395	3753
3396		/* "_proj.pyx":361
3397		* GeodesicInit(&self._Geodesic, <double> a, <double> f)
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	3755	* geod_init(&self._geod_geodesic, <double> a, <double> f)
3398	3756	*
3399	3757	* def __reduce__(self): # <<<<<<<<<<<<<<
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3412	3770	int __pyx_clineno = 0;
3413	3771	__Pyx_RefNannySetupContext("__reduce__", 0);
3414	3772
3415		/* "_proj.pyx":363
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3416	3774	* def __reduce__(self):
3417	3775	* """special method that allows pyproj.Geod instance to be pickled"""
3418	3776	* return (self.__class__,(self.initstring,)) # <<<<<<<<<<<<<<

3420	3778	* def _fwd(self, object lons, object lats, object az, object dist, radians=False):
3421	3779	*/
3422	3780	__Pyx_XDECREF(__pyx_r);
3423		__pyx_t_1 = PyObject_GetAttr(((PyObject *)__pyx_v_self), __pyx_n_s____class__); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 363; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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3424	3782	__Pyx_GOTREF(__pyx_t_1);
3425		__pyx_t_2 = PyTuple_New(1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 363; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3783	__pyx_t_2 = PyTuple_New(1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 376; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3426	3784	__Pyx_GOTREF(__pyx_t_2);
3427	3785	__Pyx_INCREF(__pyx_v_self->initstring);
3428	3786	PyTuple_SET_ITEM(__pyx_t_2, 0, __pyx_v_self->initstring);
3429	3787	__Pyx_GIVEREF(__pyx_v_self->initstring);
3430		__pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 363; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3788	__pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 376; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3431	3789	__Pyx_GOTREF(__pyx_t_3);
3432	3790	PyTuple_SET_ITEM(__pyx_t_3, 0, __pyx_t_1);
3433	3791	__Pyx_GIVEREF(__pyx_t_1);

3462	3820	PyObject *__pyx_v_az = 0;
3463	3821	PyObject *__pyx_v_dist = 0;
3464	3822	PyObject *__pyx_v_radians = 0;
	3823	int __pyx_lineno = 0;
	3824	const char *__pyx_filename = NULL;
	3825	int __pyx_clineno = 0;
3465	3826	PyObject *__pyx_r = 0;
3466	3827	__Pyx_RefNannyDeclarations
3467	3828	__Pyx_RefNannySetupContext("_fwd (wrapper)", 0);

3489	3850	case 1:
3490	3851	if (likely((values[1] = PyDict_GetItem(__pyx_kwds, __pyx_n_s__lats)) != 0)) kw_args--;
3491	3852	else {
3492		__Pyx_RaiseArgtupleInvalid("_fwd", 0, 4, 5, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 365; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	3853	__Pyx_RaiseArgtupleInvalid("_fwd", 0, 4, 5, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 378; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
3493	3854	}
3494	3855	case 2:
3495	3856	if (likely((values[2] = PyDict_GetItem(__pyx_kwds, __pyx_n_s__az)) != 0)) kw_args--;
3496	3857	else {
3497		__Pyx_RaiseArgtupleInvalid("_fwd", 0, 4, 5, 2); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 365; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	3858	__Pyx_RaiseArgtupleInvalid("_fwd", 0, 4, 5, 2); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 378; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
3498	3859	}
3499	3860	case 3:
3500	3861	if (likely((values[3] = PyDict_GetItem(__pyx_kwds, __pyx_n_s__dist)) != 0)) kw_args--;
3501	3862	else {
3502		__Pyx_RaiseArgtupleInvalid("_fwd", 0, 4, 5, 3); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 365; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	3863	__Pyx_RaiseArgtupleInvalid("_fwd", 0, 4, 5, 3); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 378; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
3503	3864	}
3504	3865	case 4:
3505	3866	if (kw_args > 0) {

3508	3869	}
3509	3870	}
3510	3871	if (unlikely(kw_args > 0)) {
3511		if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_fwd") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 365; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	3872	if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_fwd") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 378; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
3512	3873	}
3513	3874	} else {
3514	3875	switch (PyTuple_GET_SIZE(__pyx_args)) {

3529	3890	}
3530	3891	goto __pyx_L4_argument_unpacking_done;
3531	3892	__pyx_L5_argtuple_error:;
3532		__Pyx_RaiseArgtupleInvalid("_fwd", 0, 4, 5, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 365; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	3893	__Pyx_RaiseArgtupleInvalid("_fwd", 0, 4, 5, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 378; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
3533	3894	__pyx_L3_error:;
3534	3895	__Pyx_AddTraceback("_proj.Geod._fwd", __pyx_clineno, __pyx_lineno, __pyx_filename);
3535	3896	__Pyx_RefNannyFinishContext();

3540	3901	return __pyx_r;
3541	3902	}
3542	3903
3543		/* "_proj.pyx":365
	3904	/* "_proj.pyx":378
3544	3905	* return (self.__class__,(self.initstring,))
3545	3906	*
3546	3907	* def _fwd(self, object lons, object lats, object az, object dist, radians=False): # <<<<<<<<<<<<<<

3583	3944	int __pyx_clineno = 0;
3584	3945	__Pyx_RefNannySetupContext("_fwd", 0);
3585	3946
3586		/* "_proj.pyx":377
	3947	/* "_proj.pyx":390
3587	3948	* cdef void londata, latdata, azdat, distdat
3588	3949	* # if buffer api is supported, get pointer to data buffers.
3589	3950	* if PyObject_AsWriteBuffer(lons, &londata, &buflenlons) <> 0: # <<<<<<<<<<<<<<
3590	3951	* raise RuntimeError
3591	3952	* if PyObject_AsWriteBuffer(lats, &latdata, &buflenlats) <> 0:
3592	3953	*/
3593		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_lons, (&__pyx_v_londata), (&__pyx_v_buflenlons)) != 0);
	3954	__pyx_t_1 = ((PyObject_AsWriteBuffer(__pyx_v_lons, (&__pyx_v_londata), (&__pyx_v_buflenlons)) != 0) != 0);
3594	3955	if (__pyx_t_1) {
3595	3956
3596		/* "_proj.pyx":378
	3957	/* "_proj.pyx":391
3597	3958	* # if buffer api is supported, get pointer to data buffers.
3598	3959	* if PyObject_AsWriteBuffer(lons, &londata, &buflenlons) <> 0:
3599	3960	* raise RuntimeError # <<<<<<<<<<<<<<

3601	3962	* raise RuntimeError
3602	3963	*/
3603	3964	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
3604		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 378; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3965	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 391; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3605	3966	goto __pyx_L3;
3606	3967	}
3607	3968	__pyx_L3:;
3608	3969
3609		/* "_proj.pyx":379
	3970	/* "_proj.pyx":392
3610	3971	* if PyObject_AsWriteBuffer(lons, &londata, &buflenlons) <> 0:
3611	3972	* raise RuntimeError
3612	3973	* if PyObject_AsWriteBuffer(lats, &latdata, &buflenlats) <> 0: # <<<<<<<<<<<<<<
3613	3974	* raise RuntimeError
3614	3975	* if PyObject_AsWriteBuffer(az, &azdat, &buflenaz) <> 0:
3615	3976	*/
3616		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_lats, (&__pyx_v_latdata), (&__pyx_v_buflenlats)) != 0);
	3977	__pyx_t_1 = ((PyObject_AsWriteBuffer(__pyx_v_lats, (&__pyx_v_latdata), (&__pyx_v_buflenlats)) != 0) != 0);
3617	3978	if (__pyx_t_1) {
3618	3979
3619		/* "_proj.pyx":380
	3980	/* "_proj.pyx":393
3620	3981	* raise RuntimeError
3621	3982	* if PyObject_AsWriteBuffer(lats, &latdata, &buflenlats) <> 0:
3622	3983	* raise RuntimeError # <<<<<<<<<<<<<<

3624	3985	* raise RuntimeError
3625	3986	*/
3626	3987	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
3627		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 380; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	3988	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 393; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3628	3989	goto __pyx_L4;
3629	3990	}
3630	3991	__pyx_L4:;
3631	3992
3632		/* "_proj.pyx":381
	3993	/* "_proj.pyx":394
3633	3994	* if PyObject_AsWriteBuffer(lats, &latdata, &buflenlats) <> 0:
3634	3995	* raise RuntimeError
3635	3996	* if PyObject_AsWriteBuffer(az, &azdat, &buflenaz) <> 0: # <<<<<<<<<<<<<<
3636	3997	* raise RuntimeError
3637	3998	* if PyObject_AsWriteBuffer(dist, &distdat, &buflend) <> 0:
3638	3999	*/
3639		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_az, (&__pyx_v_azdat), (&__pyx_v_buflenaz)) != 0);
	4000	__pyx_t_1 = ((PyObject_AsWriteBuffer(__pyx_v_az, (&__pyx_v_azdat), (&__pyx_v_buflenaz)) != 0) != 0);
3640	4001	if (__pyx_t_1) {
3641	4002
3642		/* "_proj.pyx":382
	4003	/* "_proj.pyx":395
3643	4004	* raise RuntimeError
3644	4005	* if PyObject_AsWriteBuffer(az, &azdat, &buflenaz) <> 0:
3645	4006	* raise RuntimeError # <<<<<<<<<<<<<<

3647	4008	* raise RuntimeError
3648	4009	*/
3649	4010	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
3650		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 382; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4011	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 395; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3651	4012	goto __pyx_L5;
3652	4013	}
3653	4014	__pyx_L5:;
3654	4015
3655		/* "_proj.pyx":383
	4016	/* "_proj.pyx":396
3656	4017	* if PyObject_AsWriteBuffer(az, &azdat, &buflenaz) <> 0:
3657	4018	* raise RuntimeError
3658	4019	* if PyObject_AsWriteBuffer(dist, &distdat, &buflend) <> 0: # <<<<<<<<<<<<<<
3659	4020	* raise RuntimeError
3660	4021	* # process data in buffer
3661	4022	*/
3662		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_dist, (&__pyx_v_distdat), (&__pyx_v_buflend)) != 0);
	4023	__pyx_t_1 = ((PyObject_AsWriteBuffer(__pyx_v_dist, (&__pyx_v_distdat), (&__pyx_v_buflend)) != 0) != 0);
3663	4024	if (__pyx_t_1) {
3664	4025
3665		/* "_proj.pyx":384
	4026	/* "_proj.pyx":397
3666	4027	* raise RuntimeError
3667	4028	* if PyObject_AsWriteBuffer(dist, &distdat, &buflend) <> 0:
3668	4029	* raise RuntimeError # <<<<<<<<<<<<<<

3670	4031	* if not buflenlons == buflenlats == buflenaz == buflend:
3671	4032	*/
3672	4033	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
3673		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 384; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4034	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 397; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3674	4035	goto __pyx_L6;
3675	4036	}
3676	4037	__pyx_L6:;
3677	4038
3678		/* "_proj.pyx":386
	4039	/* "_proj.pyx":399
3679	4040	* raise RuntimeError
3680	4041	* # process data in buffer
3681	4042	* if not buflenlons == buflenlats == buflenaz == buflend: # <<<<<<<<<<<<<<

3689	4050	__pyx_t_1 = (__pyx_v_buflenaz == __pyx_v_buflend);
3690	4051	}
3691	4052	}
3692		__pyx_t_2 = (!__pyx_t_1);
	4053	__pyx_t_2 = ((!(__pyx_t_1 != 0)) != 0);
3693	4054	if (__pyx_t_2) {
3694	4055
3695		/* "_proj.pyx":387
	4056	/* "_proj.pyx":400
3696	4057	* # process data in buffer
3697	4058	* if not buflenlons == buflenlats == buflenaz == buflend:
3698	4059	* raise RuntimeError("Buffer lengths not the same") # <<<<<<<<<<<<<<
3699	4060	* ndim = buflenlons//_doublesize
3700	4061	* lonsdata = <double *>londata
3701	4062	*/
3702		__pyx_t_3 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_19), NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 387; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4063	__pyx_t_3 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_19), NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 400; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3703	4064	__Pyx_GOTREF(__pyx_t_3);
3704	4065	__Pyx_Raise(__pyx_t_3, 0, 0, 0);
3705	4066	__Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
3706		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 387; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4067	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 400; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3707	4068	goto __pyx_L7;
3708	4069	}
3709	4070	__pyx_L7:;
3710	4071
3711		/* "_proj.pyx":388
	4072	/* "_proj.pyx":401
3712	4073	* if not buflenlons == buflenlats == buflenaz == buflend:
3713	4074	* raise RuntimeError("Buffer lengths not the same")
3714	4075	* ndim = buflenlons//_doublesize # <<<<<<<<<<<<<<
3715	4076	* lonsdata = <double *>londata
3716	4077	* latsdata = <double *>latdata
3717	4078	*/
3718		__pyx_t_3 = PyInt_FromSsize_t(__pyx_v_buflenlons); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 388; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4079	__pyx_t_3 = PyInt_FromSsize_t(__pyx_v_buflenlons); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 401; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3719	4080	__Pyx_GOTREF(__pyx_t_3);
3720		__pyx_t_4 = __Pyx_GetName(__pyx_m, __pyx_n_s___doublesize); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 388; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4081	__pyx_t_4 = __Pyx_GetModuleGlobalName(__pyx_n_s___doublesize); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 401; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3721	4082	__Pyx_GOTREF(__pyx_t_4);
3722		__pyx_t_5 = PyNumber_FloorDivide(__pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 388; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4083	__pyx_t_5 = PyNumber_FloorDivide(__pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 401; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3723	4084	__Pyx_GOTREF(__pyx_t_5);
3724	4085	__Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
3725	4086	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
3726		__pyx_t_6 = __Pyx_PyIndex_AsSsize_t(__pyx_t_5); if (unlikely((__pyx_t_6 == (Py_ssize_t)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 388; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4087	__pyx_t_6 = __Pyx_PyIndex_AsSsize_t(__pyx_t_5); if (unlikely((__pyx_t_6 == (Py_ssize_t)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 401; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3727	4088	__Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
3728	4089	__pyx_v_ndim = __pyx_t_6;
3729	4090
3730		/* "_proj.pyx":389
	4091	/* "_proj.pyx":402
3731	4092	* raise RuntimeError("Buffer lengths not the same")
3732	4093	* ndim = buflenlons//_doublesize
3733	4094	* lonsdata = <double *>londata # <<<<<<<<<<<<<<

3736	4097	*/
3737	4098	__pyx_v_lonsdata = ((double *)__pyx_v_londata);
3738	4099
3739		/* "_proj.pyx":390
	4100	/* "_proj.pyx":403
3740	4101	* ndim = buflenlons//_doublesize
3741	4102	* lonsdata = <double *>londata
3742	4103	* latsdata = <double *>latdata # <<<<<<<<<<<<<<

3745	4106	*/
3746	4107	__pyx_v_latsdata = ((double *)__pyx_v_latdata);
3747	4108
3748		/* "_proj.pyx":391
	4109	/* "_proj.pyx":404
3749	4110	* lonsdata = <double *>londata
3750	4111	* latsdata = <double *>latdata
3751	4112	* azdata = <double *>azdat # <<<<<<<<<<<<<<

3754	4115	*/
3755	4116	__pyx_v_azdata = ((double *)__pyx_v_azdat);
3756	4117
3757		/* "_proj.pyx":392
	4118	/* "_proj.pyx":405
3758	4119	* latsdata = <double *>latdata
3759	4120	* azdata = <double *>azdat
3760	4121	* distdata = <double *>distdat # <<<<<<<<<<<<<<

3763	4124	*/
3764	4125	__pyx_v_distdata = ((double *)__pyx_v_distdat);
3765	4126
3766		/* "_proj.pyx":393
	4127	/* "_proj.pyx":406
3767	4128	* azdata = <double *>azdat
3768	4129	* distdata = <double *>distdat
3769	4130	* for i from 0 <= i < ndim: # <<<<<<<<<<<<<<

3773	4134	__pyx_t_6 = __pyx_v_ndim;
3774	4135	for (__pyx_v_i = 0; __pyx_v_i < __pyx_t_6; __pyx_v_i++) {
3775	4136
3776		/* "_proj.pyx":394
	4137	/* "_proj.pyx":407
3777	4138	* distdata = <double *>distdat
3778	4139	* for i from 0 <= i < ndim:
3779	4140	* if not radians: # <<<<<<<<<<<<<<
3780	4141	* lon1 = lonsdata[i]
3781	4142	* lat1 = latsdata[i]
3782	4143	*/
3783		__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 394; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3784		__pyx_t_1 = (!__pyx_t_2);
	4144	__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 407; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4145	__pyx_t_1 = ((!__pyx_t_2) != 0);
3785	4146	if (__pyx_t_1) {
3786	4147
3787		/* "_proj.pyx":395
	4148	/* "_proj.pyx":408
3788	4149	* for i from 0 <= i < ndim:
3789	4150	* if not radians:
3790	4151	* lon1 = lonsdata[i] # <<<<<<<<<<<<<<

3793	4154	*/
3794	4155	__pyx_v_lon1 = (__pyx_v_lonsdata[__pyx_v_i]);
3795	4156
3796		/* "_proj.pyx":396
	4157	/* "_proj.pyx":409
3797	4158	* if not radians:
3798	4159	* lon1 = lonsdata[i]
3799	4160	* lat1 = latsdata[i] # <<<<<<<<<<<<<<

3802	4163	*/
3803	4164	__pyx_v_lat1 = (__pyx_v_latsdata[__pyx_v_i]);
3804	4165
3805		/* "_proj.pyx":397
	4166	/* "_proj.pyx":410
3806	4167	* lon1 = lonsdata[i]
3807	4168	* lat1 = latsdata[i]
3808	4169	* az1 = azdata[i] # <<<<<<<<<<<<<<

3811	4172	*/
3812	4173	__pyx_v_az1 = (__pyx_v_azdata[__pyx_v_i]);
3813	4174
3814		/* "_proj.pyx":398
	4175	/* "_proj.pyx":411
3815	4176	* lat1 = latsdata[i]
3816	4177	* az1 = azdata[i]
3817	4178	* s12 = distdata[i] # <<<<<<<<<<<<<<

3823	4184	}
3824	4185	/else/ {
3825	4186
3826		/* "_proj.pyx":400
	4187	/* "_proj.pyx":413
3827	4188	* s12 = distdata[i]
3828	4189	* else:
3829	4190	* lon1 = _dg2rad*lonsdata[i] # <<<<<<<<<<<<<<

3832	4193	*/
3833	4194	__pyx_v_lon1 = (__pyx_v_5_proj__dg2rad * (__pyx_v_lonsdata[__pyx_v_i]));
3834	4195
3835		/* "_proj.pyx":401
	4196	/* "_proj.pyx":414
3836	4197	* else:
3837	4198	* lon1 = _dg2rad*lonsdata[i]
3838	4199	* lat1 = _dg2rad*latsdata[i] # <<<<<<<<<<<<<<

3841	4202	*/
3842	4203	__pyx_v_lat1 = (__pyx_v_5_proj__dg2rad * (__pyx_v_latsdata[__pyx_v_i]));
3843	4204
3844		/* "_proj.pyx":402
	4205	/* "_proj.pyx":415
3845	4206	* lon1 = _dg2rad*lonsdata[i]
3846	4207	* lat1 = _dg2rad*latsdata[i]
3847	4208	* az1 = _dg2rad*azdata[i] # <<<<<<<<<<<<<<
3848	4209	* s12 = distdata[i]
3849		* Direct(&self._Geodesic, lat1, lon1, az1, s12,\
	4210	* geod_direct(&self._geod_geodesic, lat1, lon1, az1, s12,\
3850	4211	*/
3851	4212	__pyx_v_az1 = (__pyx_v_5_proj__dg2rad * (__pyx_v_azdata[__pyx_v_i]));
3852	4213
3853		/* "_proj.pyx":403
	4214	/* "_proj.pyx":416
3854	4215	* lat1 = _dg2rad*latsdata[i]
3855	4216	* az1 = _dg2rad*azdata[i]
3856	4217	* s12 = distdata[i] # <<<<<<<<<<<<<<
3857		* Direct(&self._Geodesic, lat1, lon1, az1, s12,\
	4218	* geod_direct(&self._geod_geodesic, lat1, lon1, az1, s12,\
3858	4219	* &plat2, &plon2, &pazi2)
3859	4220	*/
3860	4221	__pyx_v_s12 = (__pyx_v_distdata[__pyx_v_i]);
3861	4222	}
3862	4223	__pyx_L10:;
3863	4224
3864		/* "_proj.pyx":405
	4225	/* "_proj.pyx":418
3865	4226	* s12 = distdata[i]
3866		* Direct(&self._Geodesic, lat1, lon1, az1, s12,\
	4227	* geod_direct(&self._geod_geodesic, lat1, lon1, az1, s12,\
3867	4228	* &plat2, &plon2, &pazi2) # <<<<<<<<<<<<<<
3868	4229	* # back azimuth needs to be flipped 180 degrees
3869	4230	* # to match what proj4 geod utility produces.
3870	4231	*/
3871		Direct((&__pyx_v_self->_Geodesic), __pyx_v_lat1, __pyx_v_lon1, __pyx_v_az1, __pyx_v_s12, (&__pyx_v_plat2), (&__pyx_v_plon2), (&__pyx_v_pazi2));
3872
3873		/* "_proj.pyx":408
	4232	geod_direct((&__pyx_v_self->_geod_geodesic), __pyx_v_lat1, __pyx_v_lon1, __pyx_v_az1, __pyx_v_s12, (&__pyx_v_plat2), (&__pyx_v_plon2), (&__pyx_v_pazi2));
	4233
	4234	/* "_proj.pyx":421
3874	4235	* # back azimuth needs to be flipped 180 degrees
3875	4236	* # to match what proj4 geod utility produces.
3876	4237	* if pazi2 > 0: # <<<<<<<<<<<<<<
3877	4238	* pazi2 = pazi2-180.
3878		* elif pazi2 < 0:
3879		*/
3880		__pyx_t_1 = (__pyx_v_pazi2 > 0.0);
	4239	* elif pazi2 <= 0:
	4240	*/
	4241	__pyx_t_1 = ((__pyx_v_pazi2 > 0.0) != 0);
3881	4242	if (__pyx_t_1) {
3882	4243
3883		/* "_proj.pyx":409
	4244	/* "_proj.pyx":422
3884	4245	* # to match what proj4 geod utility produces.
3885	4246	* if pazi2 > 0:
3886	4247	* pazi2 = pazi2-180. # <<<<<<<<<<<<<<
3887		* elif pazi2 < 0:
	4248	* elif pazi2 <= 0:
3888	4249	* pazi2 = pazi2+180.
3889	4250	*/
3890	4251	__pyx_v_pazi2 = (__pyx_v_pazi2 - 180.);
3891	4252	goto __pyx_L11;
3892	4253	}
3893	4254
3894		/* "_proj.pyx":410
	4255	/* "_proj.pyx":423
3895	4256	* if pazi2 > 0:
3896	4257	* pazi2 = pazi2-180.
3897		* elif pazi2 < 0: # <<<<<<<<<<<<<<
	4258	* elif pazi2 <= 0: # <<<<<<<<<<<<<<
3898	4259	* pazi2 = pazi2+180.
3899	4260	* # check for NaN.
3900	4261	*/
3901		__pyx_t_1 = (__pyx_v_pazi2 < 0.0);
	4262	__pyx_t_1 = ((__pyx_v_pazi2 <= 0.0) != 0);
3902	4263	if (__pyx_t_1) {
3903	4264
3904		/* "_proj.pyx":411
	4265	/* "_proj.pyx":424
3905	4266	* pazi2 = pazi2-180.
3906		* elif pazi2 < 0:
	4267	* elif pazi2 <= 0:
3907	4268	* pazi2 = pazi2+180. # <<<<<<<<<<<<<<
3908	4269	* # check for NaN.
3909	4270	* if pazi2 != pazi2:

3913	4274	}
3914	4275	__pyx_L11:;
3915	4276
3916		/* "_proj.pyx":413
	4277	/* "_proj.pyx":426
3917	4278	* pazi2 = pazi2+180.
3918	4279	* # check for NaN.
3919	4280	* if pazi2 != pazi2: # <<<<<<<<<<<<<<
3920	4281	* raise ValueError('undefined inverse geodesic (may be an antipodal point)')
3921	4282	* if not radians:
3922	4283	*/
3923		__pyx_t_1 = (__pyx_v_pazi2 != __pyx_v_pazi2);
	4284	__pyx_t_1 = ((__pyx_v_pazi2 != __pyx_v_pazi2) != 0);
3924	4285	if (__pyx_t_1) {
3925	4286
3926		/* "_proj.pyx":414
	4287	/* "_proj.pyx":427
3927	4288	* # check for NaN.
3928	4289	* if pazi2 != pazi2:
3929	4290	* raise ValueError('undefined inverse geodesic (may be an antipodal point)') # <<<<<<<<<<<<<<
3930	4291	* if not radians:
3931	4292	* lonsdata[i] = plon2
3932	4293	*/
3933		__pyx_t_5 = PyObject_Call(__pyx_builtin_ValueError, ((PyObject *)__pyx_k_tuple_21), NULL); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 414; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4294	__pyx_t_5 = PyObject_Call(__pyx_builtin_ValueError, ((PyObject *)__pyx_k_tuple_21), NULL); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 427; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3934	4295	__Pyx_GOTREF(__pyx_t_5);
3935	4296	__Pyx_Raise(__pyx_t_5, 0, 0, 0);
3936	4297	__Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
3937		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 414; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4298	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 427; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3938	4299	goto __pyx_L12;
3939	4300	}
3940	4301	__pyx_L12:;
3941	4302
3942		/* "_proj.pyx":415
	4303	/* "_proj.pyx":428
3943	4304	* if pazi2 != pazi2:
3944	4305	* raise ValueError('undefined inverse geodesic (may be an antipodal point)')
3945	4306	* if not radians: # <<<<<<<<<<<<<<
3946	4307	* lonsdata[i] = plon2
3947	4308	* latsdata[i] = plat2
3948	4309	*/
3949		__pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_1 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 415; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
3950		__pyx_t_2 = (!__pyx_t_1);
	4310	__pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_1 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 428; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4311	__pyx_t_2 = ((!__pyx_t_1) != 0);
3951	4312	if (__pyx_t_2) {
3952	4313
3953		/* "_proj.pyx":416
	4314	/* "_proj.pyx":429
3954	4315	* raise ValueError('undefined inverse geodesic (may be an antipodal point)')
3955	4316	* if not radians:
3956	4317	* lonsdata[i] = plon2 # <<<<<<<<<<<<<<

3959	4320	*/
3960	4321	(__pyx_v_lonsdata[__pyx_v_i]) = __pyx_v_plon2;
3961	4322
3962		/* "_proj.pyx":417
	4323	/* "_proj.pyx":430
3963	4324	* if not radians:
3964	4325	* lonsdata[i] = plon2
3965	4326	* latsdata[i] = plat2 # <<<<<<<<<<<<<<

3968	4329	*/
3969	4330	(__pyx_v_latsdata[__pyx_v_i]) = __pyx_v_plat2;
3970	4331
3971		/* "_proj.pyx":418
	4332	/* "_proj.pyx":431
3972	4333	* lonsdata[i] = plon2
3973	4334	* latsdata[i] = plat2
3974	4335	* azdata[i] = pazi2 # <<<<<<<<<<<<<<

3980	4341	}
3981	4342	/else/ {
3982	4343
3983		/* "_proj.pyx":420
	4344	/* "_proj.pyx":433
3984	4345	* azdata[i] = pazi2
3985	4346	* else:
3986	4347	* lonsdata[i] = _rad2dg*plon2 # <<<<<<<<<<<<<<

3989	4350	*/
3990	4351	(__pyx_v_lonsdata[__pyx_v_i]) = (__pyx_v_5_proj__rad2dg * __pyx_v_plon2);
3991	4352
3992		/* "_proj.pyx":421
	4353	/* "_proj.pyx":434
3993	4354	* else:
3994	4355	* lonsdata[i] = _rad2dg*plon2
3995	4356	* latsdata[i] = _rad2dg*plat2 # <<<<<<<<<<<<<<

3998	4359	*/
3999	4360	(__pyx_v_latsdata[__pyx_v_i]) = (__pyx_v_5_proj__rad2dg * __pyx_v_plat2);
4000	4361
4001		/* "_proj.pyx":422
	4362	/* "_proj.pyx":435
4002	4363	* lonsdata[i] = _rad2dg*plon2
4003	4364	* latsdata[i] = _rad2dg*plat2
4004	4365	* azdata[i] = _rad2dg*pazi2 # <<<<<<<<<<<<<<

4033	4394	PyObject *__pyx_v_lons2 = 0;
4034	4395	PyObject *__pyx_v_lats2 = 0;
4035	4396	PyObject *__pyx_v_radians = 0;
	4397	int __pyx_lineno = 0;
	4398	const char *__pyx_filename = NULL;
	4399	int __pyx_clineno = 0;
4036	4400	PyObject *__pyx_r = 0;
4037	4401	__Pyx_RefNannyDeclarations
4038	4402	__Pyx_RefNannySetupContext("_inv (wrapper)", 0);

4060	4424	case 1:
4061	4425	if (likely((values[1] = PyDict_GetItem(__pyx_kwds, __pyx_n_s__lats1)) != 0)) kw_args--;
4062	4426	else {
4063		__Pyx_RaiseArgtupleInvalid("_inv", 0, 4, 5, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 424; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	4427	__Pyx_RaiseArgtupleInvalid("_inv", 0, 4, 5, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 437; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4064	4428	}
4065	4429	case 2:
4066	4430	if (likely((values[2] = PyDict_GetItem(__pyx_kwds, __pyx_n_s__lons2)) != 0)) kw_args--;
4067	4431	else {
4068		__Pyx_RaiseArgtupleInvalid("_inv", 0, 4, 5, 2); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 424; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	4432	__Pyx_RaiseArgtupleInvalid("_inv", 0, 4, 5, 2); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 437; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4069	4433	}
4070	4434	case 3:
4071	4435	if (likely((values[3] = PyDict_GetItem(__pyx_kwds, __pyx_n_s__lats2)) != 0)) kw_args--;
4072	4436	else {
4073		__Pyx_RaiseArgtupleInvalid("_inv", 0, 4, 5, 3); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 424; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	4437	__Pyx_RaiseArgtupleInvalid("_inv", 0, 4, 5, 3); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 437; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4074	4438	}
4075	4439	case 4:
4076	4440	if (kw_args > 0) {

4079	4443	}
4080	4444	}
4081	4445	if (unlikely(kw_args > 0)) {
4082		if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_inv") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 424; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	4446	if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_inv") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 437; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4083	4447	}
4084	4448	} else {
4085	4449	switch (PyTuple_GET_SIZE(__pyx_args)) {

4100	4464	}
4101	4465	goto __pyx_L4_argument_unpacking_done;
4102	4466	__pyx_L5_argtuple_error:;
4103		__Pyx_RaiseArgtupleInvalid("_inv", 0, 4, 5, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 424; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	4467	__Pyx_RaiseArgtupleInvalid("_inv", 0, 4, 5, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 437; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4104	4468	__pyx_L3_error:;
4105	4469	__Pyx_AddTraceback("_proj.Geod._inv", __pyx_clineno, __pyx_lineno, __pyx_filename);
4106	4470	__Pyx_RefNannyFinishContext();

4111	4475	return __pyx_r;
4112	4476	}
4113	4477
4114		/* "_proj.pyx":424
	4478	/* "_proj.pyx":437
4115	4479	* azdata[i] = _rad2dg*pazi2
4116	4480	*
4117	4481	* def _inv(self, object lons1, object lats1, object lons2, object lats2, radians=False): # <<<<<<<<<<<<<<

4155	4519	int __pyx_clineno = 0;
4156	4520	__Pyx_RefNannySetupContext("_inv", 0);
4157	4521
4158		/* "_proj.pyx":435
	4522	/* "_proj.pyx":448
4159	4523	* cdef void londata, latdata, azdat, distdat
4160	4524	* # if buffer api is supported, get pointer to data buffers.
4161	4525	* if PyObject_AsWriteBuffer(lons1, &londata, &buflenlons) <> 0: # <<<<<<<<<<<<<<
4162	4526	* raise RuntimeError
4163	4527	* if PyObject_AsWriteBuffer(lats1, &latdata, &buflenlats) <> 0:
4164	4528	*/
4165		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_lons1, (&__pyx_v_londata), (&__pyx_v_buflenlons)) != 0);
	4529	__pyx_t_1 = ((PyObject_AsWriteBuffer(__pyx_v_lons1, (&__pyx_v_londata), (&__pyx_v_buflenlons)) != 0) != 0);
4166	4530	if (__pyx_t_1) {
4167	4531
4168		/* "_proj.pyx":436
	4532	/* "_proj.pyx":449
4169	4533	* # if buffer api is supported, get pointer to data buffers.
4170	4534	* if PyObject_AsWriteBuffer(lons1, &londata, &buflenlons) <> 0:
4171	4535	* raise RuntimeError # <<<<<<<<<<<<<<

4173	4537	* raise RuntimeError
4174	4538	*/
4175	4539	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
4176		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 436; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4540	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 449; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4177	4541	goto __pyx_L3;
4178	4542	}
4179	4543	__pyx_L3:;
4180	4544
4181		/* "_proj.pyx":437
	4545	/* "_proj.pyx":450
4182	4546	* if PyObject_AsWriteBuffer(lons1, &londata, &buflenlons) <> 0:
4183	4547	* raise RuntimeError
4184	4548	* if PyObject_AsWriteBuffer(lats1, &latdata, &buflenlats) <> 0: # <<<<<<<<<<<<<<
4185	4549	* raise RuntimeError
4186	4550	* if PyObject_AsWriteBuffer(lons2, &azdat, &buflenaz) <> 0:
4187	4551	*/
4188		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_lats1, (&__pyx_v_latdata), (&__pyx_v_buflenlats)) != 0);
	4552	__pyx_t_1 = ((PyObject_AsWriteBuffer(__pyx_v_lats1, (&__pyx_v_latdata), (&__pyx_v_buflenlats)) != 0) != 0);
4189	4553	if (__pyx_t_1) {
4190	4554
4191		/* "_proj.pyx":438
	4555	/* "_proj.pyx":451
4192	4556	* raise RuntimeError
4193	4557	* if PyObject_AsWriteBuffer(lats1, &latdata, &buflenlats) <> 0:
4194	4558	* raise RuntimeError # <<<<<<<<<<<<<<

4196	4560	* raise RuntimeError
4197	4561	*/
4198	4562	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
4199		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 438; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4563	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 451; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4200	4564	goto __pyx_L4;
4201	4565	}
4202	4566	__pyx_L4:;
4203	4567
4204		/* "_proj.pyx":439
	4568	/* "_proj.pyx":452
4205	4569	* if PyObject_AsWriteBuffer(lats1, &latdata, &buflenlats) <> 0:
4206	4570	* raise RuntimeError
4207	4571	* if PyObject_AsWriteBuffer(lons2, &azdat, &buflenaz) <> 0: # <<<<<<<<<<<<<<
4208	4572	* raise RuntimeError
4209	4573	* if PyObject_AsWriteBuffer(lats2, &distdat, &buflend) <> 0:
4210	4574	*/
4211		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_lons2, (&__pyx_v_azdat), (&__pyx_v_buflenaz)) != 0);
	4575	__pyx_t_1 = ((PyObject_AsWriteBuffer(__pyx_v_lons2, (&__pyx_v_azdat), (&__pyx_v_buflenaz)) != 0) != 0);
4212	4576	if (__pyx_t_1) {
4213	4577
4214		/* "_proj.pyx":440
	4578	/* "_proj.pyx":453
4215	4579	* raise RuntimeError
4216	4580	* if PyObject_AsWriteBuffer(lons2, &azdat, &buflenaz) <> 0:
4217	4581	* raise RuntimeError # <<<<<<<<<<<<<<

4219	4583	* raise RuntimeError
4220	4584	*/
4221	4585	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
4222		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 440; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4586	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 453; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4223	4587	goto __pyx_L5;
4224	4588	}
4225	4589	__pyx_L5:;
4226	4590
4227		/* "_proj.pyx":441
	4591	/* "_proj.pyx":454
4228	4592	* if PyObject_AsWriteBuffer(lons2, &azdat, &buflenaz) <> 0:
4229	4593	* raise RuntimeError
4230	4594	* if PyObject_AsWriteBuffer(lats2, &distdat, &buflend) <> 0: # <<<<<<<<<<<<<<
4231	4595	* raise RuntimeError
4232	4596	* # process data in buffer
4233	4597	*/
4234		__pyx_t_1 = (PyObject_AsWriteBuffer(__pyx_v_lats2, (&__pyx_v_distdat), (&__pyx_v_buflend)) != 0);
	4598	__pyx_t_1 = ((PyObject_AsWriteBuffer(__pyx_v_lats2, (&__pyx_v_distdat), (&__pyx_v_buflend)) != 0) != 0);
4235	4599	if (__pyx_t_1) {
4236	4600
4237		/* "_proj.pyx":442
	4601	/* "_proj.pyx":455
4238	4602	* raise RuntimeError
4239	4603	* if PyObject_AsWriteBuffer(lats2, &distdat, &buflend) <> 0:
4240	4604	* raise RuntimeError # <<<<<<<<<<<<<<

4242	4606	* if not buflenlons == buflenlats == buflenaz == buflend:
4243	4607	*/
4244	4608	__Pyx_Raise(__pyx_builtin_RuntimeError, 0, 0, 0);
4245		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 442; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4609	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 455; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4246	4610	goto __pyx_L6;
4247	4611	}
4248	4612	__pyx_L6:;
4249	4613
4250		/* "_proj.pyx":444
	4614	/* "_proj.pyx":457
4251	4615	* raise RuntimeError
4252	4616	* # process data in buffer
4253	4617	* if not buflenlons == buflenlats == buflenaz == buflend: # <<<<<<<<<<<<<<

4261	4625	__pyx_t_1 = (__pyx_v_buflenaz == __pyx_v_buflend);
4262	4626	}
4263	4627	}
4264		__pyx_t_2 = (!__pyx_t_1);
	4628	__pyx_t_2 = ((!(__pyx_t_1 != 0)) != 0);
4265	4629	if (__pyx_t_2) {
4266	4630
4267		/* "_proj.pyx":445
	4631	/* "_proj.pyx":458
4268	4632	* # process data in buffer
4269	4633	* if not buflenlons == buflenlats == buflenaz == buflend:
4270	4634	* raise RuntimeError("Buffer lengths not the same") # <<<<<<<<<<<<<<
4271	4635	* ndim = buflenlons//_doublesize
4272	4636	* lonsdata = <double *>londata
4273	4637	*/
4274		__pyx_t_3 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_23), NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 445; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4638	__pyx_t_3 = PyObject_Call(__pyx_builtin_RuntimeError, ((PyObject *)__pyx_k_tuple_23), NULL); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 458; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4275	4639	__Pyx_GOTREF(__pyx_t_3);
4276	4640	__Pyx_Raise(__pyx_t_3, 0, 0, 0);
4277	4641	__Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
4278		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 445; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4642	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 458; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4279	4643	goto __pyx_L7;
4280	4644	}
4281	4645	__pyx_L7:;
4282	4646
4283		/* "_proj.pyx":446
	4647	/* "_proj.pyx":459
4284	4648	* if not buflenlons == buflenlats == buflenaz == buflend:
4285	4649	* raise RuntimeError("Buffer lengths not the same")
4286	4650	* ndim = buflenlons//_doublesize # <<<<<<<<<<<<<<
4287	4651	* lonsdata = <double *>londata
4288	4652	* latsdata = <double *>latdata
4289	4653	*/
4290		__pyx_t_3 = PyInt_FromSsize_t(__pyx_v_buflenlons); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 446; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4654	__pyx_t_3 = PyInt_FromSsize_t(__pyx_v_buflenlons); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 459; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4291	4655	__Pyx_GOTREF(__pyx_t_3);
4292		__pyx_t_4 = __Pyx_GetName(__pyx_m, __pyx_n_s___doublesize); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 446; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4656	__pyx_t_4 = __Pyx_GetModuleGlobalName(__pyx_n_s___doublesize); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 459; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4293	4657	__Pyx_GOTREF(__pyx_t_4);
4294		__pyx_t_5 = PyNumber_FloorDivide(__pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 446; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4658	__pyx_t_5 = PyNumber_FloorDivide(__pyx_t_3, __pyx_t_4); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 459; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4295	4659	__Pyx_GOTREF(__pyx_t_5);
4296	4660	__Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0;
4297	4661	__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
4298		__pyx_t_6 = __Pyx_PyIndex_AsSsize_t(__pyx_t_5); if (unlikely((__pyx_t_6 == (Py_ssize_t)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 446; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4662	__pyx_t_6 = __Pyx_PyIndex_AsSsize_t(__pyx_t_5); if (unlikely((__pyx_t_6 == (Py_ssize_t)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 459; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4299	4663	__Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
4300	4664	__pyx_v_ndim = __pyx_t_6;
4301	4665
4302		/* "_proj.pyx":447
	4666	/* "_proj.pyx":460
4303	4667	* raise RuntimeError("Buffer lengths not the same")
4304	4668	* ndim = buflenlons//_doublesize
4305	4669	* lonsdata = <double *>londata # <<<<<<<<<<<<<<

4308	4672	*/
4309	4673	__pyx_v_lonsdata = ((double *)__pyx_v_londata);
4310	4674
4311		/* "_proj.pyx":448
	4675	/* "_proj.pyx":461
4312	4676	* ndim = buflenlons//_doublesize
4313	4677	* lonsdata = <double *>londata
4314	4678	* latsdata = <double *>latdata # <<<<<<<<<<<<<<

4317	4681	*/
4318	4682	__pyx_v_latsdata = ((double *)__pyx_v_latdata);
4319	4683
4320		/* "_proj.pyx":449
	4684	/* "_proj.pyx":462
4321	4685	* lonsdata = <double *>londata
4322	4686	* latsdata = <double *>latdata
4323	4687	* azdata = <double *>azdat # <<<<<<<<<<<<<<

4326	4690	*/
4327	4691	__pyx_v_azdata = ((double *)__pyx_v_azdat);
4328	4692
4329		/* "_proj.pyx":450
	4693	/* "_proj.pyx":463
4330	4694	* latsdata = <double *>latdata
4331	4695	* azdata = <double *>azdat
4332	4696	* distdata = <double *>distdat # <<<<<<<<<<<<<<

4335	4699	*/
4336	4700	__pyx_v_distdata = ((double *)__pyx_v_distdat);
4337	4701
4338		/* "_proj.pyx":451
	4702	/* "_proj.pyx":464
4339	4703	* azdata = <double *>azdat
4340	4704	* distdata = <double *>distdat
4341	4705	* errmsg = 'undefined inverse geodesic (may be an antipodal point)' # <<<<<<<<<<<<<<

4345	4709	__Pyx_INCREF(((PyObject *)__pyx_kp_s_20));
4346	4710	__pyx_v_errmsg = ((PyObject *)__pyx_kp_s_20);
4347	4711
4348		/* "_proj.pyx":452
	4712	/* "_proj.pyx":465
4349	4713	* distdata = <double *>distdat
4350	4714	* errmsg = 'undefined inverse geodesic (may be an antipodal point)'
4351	4715	* for i from 0 <= i < ndim: # <<<<<<<<<<<<<<

4355	4719	__pyx_t_6 = __pyx_v_ndim;
4356	4720	for (__pyx_v_i = 0; __pyx_v_i < __pyx_t_6; __pyx_v_i++) {
4357	4721
4358		/* "_proj.pyx":453
	4722	/* "_proj.pyx":466
4359	4723	* errmsg = 'undefined inverse geodesic (may be an antipodal point)'
4360	4724	* for i from 0 <= i < ndim:
4361	4725	* if radians: # <<<<<<<<<<<<<<
4362	4726	* lon1 = _rad2dg*lonsdata[i]
4363	4727	* lat1 = _rad2dg*latsdata[i]
4364	4728	*/
4365		__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 453; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4729	__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 466; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4366	4730	if (__pyx_t_2) {
4367	4731
4368		/* "_proj.pyx":454
	4732	/* "_proj.pyx":467
4369	4733	* for i from 0 <= i < ndim:
4370	4734	* if radians:
4371	4735	* lon1 = _rad2dg*lonsdata[i] # <<<<<<<<<<<<<<

4374	4738	*/
4375	4739	__pyx_v_lon1 = (__pyx_v_5_proj__rad2dg * (__pyx_v_lonsdata[__pyx_v_i]));
4376	4740
4377		/* "_proj.pyx":455
	4741	/* "_proj.pyx":468
4378	4742	* if radians:
4379	4743	* lon1 = _rad2dg*lonsdata[i]
4380	4744	* lat1 = _rad2dg*latsdata[i] # <<<<<<<<<<<<<<

4383	4747	*/
4384	4748	__pyx_v_lat1 = (__pyx_v_5_proj__rad2dg * (__pyx_v_latsdata[__pyx_v_i]));
4385	4749
4386		/* "_proj.pyx":456
	4750	/* "_proj.pyx":469
4387	4751	* lon1 = _rad2dg*lonsdata[i]
4388	4752	* lat1 = _rad2dg*latsdata[i]
4389	4753	* lon2 = _rad2dg*azdata[i] # <<<<<<<<<<<<<<

4392	4756	*/
4393	4757	__pyx_v_lon2 = (__pyx_v_5_proj__rad2dg * (__pyx_v_azdata[__pyx_v_i]));
4394	4758
4395		/* "_proj.pyx":457
	4759	/* "_proj.pyx":470
4396	4760	* lat1 = _rad2dg*latsdata[i]
4397	4761	* lon2 = _rad2dg*azdata[i]
4398	4762	* lat2 = _rad2dg*distdata[i] # <<<<<<<<<<<<<<

4404	4768	}
4405	4769	/else/ {
4406	4770
4407		/* "_proj.pyx":459
	4771	/* "_proj.pyx":472
4408	4772	* lat2 = _rad2dg*distdata[i]
4409	4773	* else:
4410	4774	* lon1 = lonsdata[i] # <<<<<<<<<<<<<<

4413	4777	*/
4414	4778	__pyx_v_lon1 = (__pyx_v_lonsdata[__pyx_v_i]);
4415	4779
4416		/* "_proj.pyx":460
	4780	/* "_proj.pyx":473
4417	4781	* else:
4418	4782	* lon1 = lonsdata[i]
4419	4783	* lat1 = latsdata[i] # <<<<<<<<<<<<<<

4422	4786	*/
4423	4787	__pyx_v_lat1 = (__pyx_v_latsdata[__pyx_v_i]);
4424	4788
4425		/* "_proj.pyx":461
	4789	/* "_proj.pyx":474
4426	4790	* lon1 = lonsdata[i]
4427	4791	* lat1 = latsdata[i]
4428	4792	* lon2 = azdata[i] # <<<<<<<<<<<<<<
4429	4793	* lat2 = distdata[i]
4430		* Inverse(&self._Geodesic, lat1, lon1, lat2, lon2,
	4794	* geod_inverse(&self._geod_geodesic, lat1, lon1, lat2, lon2,
4431	4795	*/
4432	4796	__pyx_v_lon2 = (__pyx_v_azdata[__pyx_v_i]);
4433	4797
4434		/* "_proj.pyx":462
	4798	/* "_proj.pyx":475
4435	4799	* lat1 = latsdata[i]
4436	4800	* lon2 = azdata[i]
4437	4801	* lat2 = distdata[i] # <<<<<<<<<<<<<<
4438		* Inverse(&self._Geodesic, lat1, lon1, lat2, lon2,
	4802	* geod_inverse(&self._geod_geodesic, lat1, lon1, lat2, lon2,
4439	4803	* &ps12, &pazi1, &pazi2)
4440	4804	*/
4441	4805	__pyx_v_lat2 = (__pyx_v_distdata[__pyx_v_i]);
4442	4806	}
4443	4807	__pyx_L10:;
4444	4808
4445		/* "_proj.pyx":464
	4809	/* "_proj.pyx":477
4446	4810	* lat2 = distdata[i]
4447		* Inverse(&self._Geodesic, lat1, lon1, lat2, lon2,
	4811	* geod_inverse(&self._geod_geodesic, lat1, lon1, lat2, lon2,
4448	4812	* &ps12, &pazi1, &pazi2) # <<<<<<<<<<<<<<
4449	4813	* # back azimuth needs to be flipped 180 degrees
4450	4814	* # to match what proj4 geod utility produces.
4451	4815	*/
4452		Inverse((&__pyx_v_self->_Geodesic), __pyx_v_lat1, __pyx_v_lon1, __pyx_v_lat2, __pyx_v_lon2, (&__pyx_v_ps12), (&__pyx_v_pazi1), (&__pyx_v_pazi2));
4453
4454		/* "_proj.pyx":467
	4816	geod_inverse((&__pyx_v_self->_geod_geodesic), __pyx_v_lat1, __pyx_v_lon1, __pyx_v_lat2, __pyx_v_lon2, (&__pyx_v_ps12), (&__pyx_v_pazi1), (&__pyx_v_pazi2));
	4817
	4818	/* "_proj.pyx":480
4455	4819	* # back azimuth needs to be flipped 180 degrees
4456	4820	* # to match what proj4 geod utility produces.
4457	4821	* if pazi2 > 0: # <<<<<<<<<<<<<<
4458	4822	* pazi2 = pazi2-180.
4459		* elif pazi2 < 0:
4460		*/
4461		__pyx_t_2 = (__pyx_v_pazi2 > 0.0);
	4823	* elif pazi2 <= 0:
	4824	*/
	4825	__pyx_t_2 = ((__pyx_v_pazi2 > 0.0) != 0);
4462	4826	if (__pyx_t_2) {
4463	4827
4464		/* "_proj.pyx":468
	4828	/* "_proj.pyx":481
4465	4829	* # to match what proj4 geod utility produces.
4466	4830	* if pazi2 > 0:
4467	4831	* pazi2 = pazi2-180. # <<<<<<<<<<<<<<
4468		* elif pazi2 < 0:
	4832	* elif pazi2 <= 0:
4469	4833	* pazi2 = pazi2+180.
4470	4834	*/
4471	4835	__pyx_v_pazi2 = (__pyx_v_pazi2 - 180.);
4472	4836	goto __pyx_L11;
4473	4837	}
4474	4838
4475		/* "_proj.pyx":469
	4839	/* "_proj.pyx":482
4476	4840	* if pazi2 > 0:
4477	4841	* pazi2 = pazi2-180.
4478		* elif pazi2 < 0: # <<<<<<<<<<<<<<
	4842	* elif pazi2 <= 0: # <<<<<<<<<<<<<<
4479	4843	* pazi2 = pazi2+180.
4480	4844	* if ps12 != ps12: # check for NaN
4481	4845	*/
4482		__pyx_t_2 = (__pyx_v_pazi2 < 0.0);
	4846	__pyx_t_2 = ((__pyx_v_pazi2 <= 0.0) != 0);
4483	4847	if (__pyx_t_2) {
4484	4848
4485		/* "_proj.pyx":470
	4849	/* "_proj.pyx":483
4486	4850	* pazi2 = pazi2-180.
4487		* elif pazi2 < 0:
	4851	* elif pazi2 <= 0:
4488	4852	* pazi2 = pazi2+180. # <<<<<<<<<<<<<<
4489	4853	* if ps12 != ps12: # check for NaN
4490	4854	* raise ValueError('undefined inverse geodesic (may be an antipodal point)')

4494	4858	}
4495	4859	__pyx_L11:;
4496	4860
4497		/* "_proj.pyx":471
4498		* elif pazi2 < 0:
	4861	/* "_proj.pyx":484
	4862	* elif pazi2 <= 0:
4499	4863	* pazi2 = pazi2+180.
4500	4864	* if ps12 != ps12: # check for NaN # <<<<<<<<<<<<<<
4501	4865	* raise ValueError('undefined inverse geodesic (may be an antipodal point)')
4502	4866	* if radians:
4503	4867	*/
4504		__pyx_t_2 = (__pyx_v_ps12 != __pyx_v_ps12);
	4868	__pyx_t_2 = ((__pyx_v_ps12 != __pyx_v_ps12) != 0);
4505	4869	if (__pyx_t_2) {
4506	4870
4507		/* "_proj.pyx":472
	4871	/* "_proj.pyx":485
4508	4872	* pazi2 = pazi2+180.
4509	4873	* if ps12 != ps12: # check for NaN
4510	4874	* raise ValueError('undefined inverse geodesic (may be an antipodal point)') # <<<<<<<<<<<<<<
4511	4875	* if radians:
4512	4876	* lonsdata[i] = _rad2dg*pazi1
4513	4877	*/
4514		__pyx_t_5 = PyObject_Call(__pyx_builtin_ValueError, ((PyObject *)__pyx_k_tuple_24), NULL); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 472; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4878	__pyx_t_5 = PyObject_Call(__pyx_builtin_ValueError, ((PyObject *)__pyx_k_tuple_24), NULL); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 485; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4515	4879	__Pyx_GOTREF(__pyx_t_5);
4516	4880	__Pyx_Raise(__pyx_t_5, 0, 0, 0);
4517	4881	__Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
4518		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 472; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4882	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 485; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4519	4883	goto __pyx_L12;
4520	4884	}
4521	4885	__pyx_L12:;
4522	4886
4523		/* "_proj.pyx":473
	4887	/* "_proj.pyx":486
4524	4888	* if ps12 != ps12: # check for NaN
4525	4889	* raise ValueError('undefined inverse geodesic (may be an antipodal point)')
4526	4890	* if radians: # <<<<<<<<<<<<<<
4527	4891	* lonsdata[i] = _rad2dg*pazi1
4528	4892	* latsdata[i] = _rad2dg*pazi2
4529	4893	*/
4530		__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 473; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	4894	__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 486; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4531	4895	if (__pyx_t_2) {
4532	4896
4533		/* "_proj.pyx":474
	4897	/* "_proj.pyx":487
4534	4898	* raise ValueError('undefined inverse geodesic (may be an antipodal point)')
4535	4899	* if radians:
4536	4900	* lonsdata[i] = _rad2dg*pazi1 # <<<<<<<<<<<<<<

4539	4903	*/
4540	4904	(__pyx_v_lonsdata[__pyx_v_i]) = (__pyx_v_5_proj__rad2dg * __pyx_v_pazi1);
4541	4905
4542		/* "_proj.pyx":475
	4906	/* "_proj.pyx":488
4543	4907	* if radians:
4544	4908	* lonsdata[i] = _rad2dg*pazi1
4545	4909	* latsdata[i] = _rad2dg*pazi2 # <<<<<<<<<<<<<<

4551	4915	}
4552	4916	/else/ {
4553	4917
4554		/* "_proj.pyx":477
	4918	/* "_proj.pyx":490
4555	4919	* latsdata[i] = _rad2dg*pazi2
4556	4920	* else:
4557	4921	* lonsdata[i] = pazi1 # <<<<<<<<<<<<<<

4560	4924	*/
4561	4925	(__pyx_v_lonsdata[__pyx_v_i]) = __pyx_v_pazi1;
4562	4926
4563		/* "_proj.pyx":478
	4927	/* "_proj.pyx":491
4564	4928	* else:
4565	4929	* lonsdata[i] = pazi1
4566	4930	* latsdata[i] = pazi2 # <<<<<<<<<<<<<<

4571	4935	}
4572	4936	__pyx_L13:;
4573	4937
4574		/* "_proj.pyx":479
	4938	/* "_proj.pyx":492
4575	4939	* lonsdata[i] = pazi1
4576	4940	* latsdata[i] = pazi2
4577	4941	* azdata[i] = ps12 # <<<<<<<<<<<<<<

4606	4970	double __pyx_v_lat2;
4607	4971	int __pyx_v_npts;
4608	4972	PyObject *__pyx_v_radians = 0;
	4973	int __pyx_lineno = 0;
	4974	const char *__pyx_filename = NULL;
	4975	int __pyx_clineno = 0;
4609	4976	PyObject *__pyx_r = 0;
4610	4977	__Pyx_RefNannyDeclarations
4611	4978	__Pyx_RefNannySetupContext("_npts (wrapper)", 0);

4634	5001	case 1:
4635	5002	if (likely((values[1] = PyDict_GetItem(__pyx_kwds, __pyx_n_s__lat1)) != 0)) kw_args--;
4636	5003	else {
4637		__Pyx_RaiseArgtupleInvalid("_npts", 0, 5, 6, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 481; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	5004	__Pyx_RaiseArgtupleInvalid("_npts", 0, 5, 6, 1); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 494; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4638	5005	}
4639	5006	case 2:
4640	5007	if (likely((values[2] = PyDict_GetItem(__pyx_kwds, __pyx_n_s__lon2)) != 0)) kw_args--;
4641	5008	else {
4642		__Pyx_RaiseArgtupleInvalid("_npts", 0, 5, 6, 2); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 481; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	5009	__Pyx_RaiseArgtupleInvalid("_npts", 0, 5, 6, 2); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 494; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4643	5010	}
4644	5011	case 3:
4645	5012	if (likely((values[3] = PyDict_GetItem(__pyx_kwds, __pyx_n_s__lat2)) != 0)) kw_args--;
4646	5013	else {
4647		__Pyx_RaiseArgtupleInvalid("_npts", 0, 5, 6, 3); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 481; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	5014	__Pyx_RaiseArgtupleInvalid("_npts", 0, 5, 6, 3); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 494; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4648	5015	}
4649	5016	case 4:
4650	5017	if (likely((values[4] = PyDict_GetItem(__pyx_kwds, __pyx_n_s__npts)) != 0)) kw_args--;
4651	5018	else {
4652		__Pyx_RaiseArgtupleInvalid("_npts", 0, 5, 6, 4); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 481; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	5019	__Pyx_RaiseArgtupleInvalid("_npts", 0, 5, 6, 4); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 494; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4653	5020	}
4654	5021	case 5:
4655	5022	if (kw_args > 0) {

4658	5025	}
4659	5026	}
4660	5027	if (unlikely(kw_args > 0)) {
4661		if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_npts") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 481; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	5028	if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "_npts") < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 494; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4662	5029	}
4663	5030	} else {
4664	5031	switch (PyTuple_GET_SIZE(__pyx_args)) {

4672	5039	default: goto __pyx_L5_argtuple_error;
4673	5040	}
4674	5041	}
4675		__pyx_v_lon1 = __pyx_PyFloat_AsDouble(values[0]); if (unlikely((__pyx_v_lon1 == (double)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 481; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4676		__pyx_v_lat1 = __pyx_PyFloat_AsDouble(values[1]); if (unlikely((__pyx_v_lat1 == (double)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 481; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4677		__pyx_v_lon2 = __pyx_PyFloat_AsDouble(values[2]); if (unlikely((__pyx_v_lon2 == (double)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 481; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4678		__pyx_v_lat2 = __pyx_PyFloat_AsDouble(values[3]); if (unlikely((__pyx_v_lat2 == (double)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 481; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4679		__pyx_v_npts = __Pyx_PyInt_AsInt(values[4]); if (unlikely((__pyx_v_npts == (int)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 481; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	5042	__pyx_v_lon1 = __pyx_PyFloat_AsDouble(values[0]); if (unlikely((__pyx_v_lon1 == (double)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 494; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	5043	__pyx_v_lat1 = __pyx_PyFloat_AsDouble(values[1]); if (unlikely((__pyx_v_lat1 == (double)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 494; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	5044	__pyx_v_lon2 = __pyx_PyFloat_AsDouble(values[2]); if (unlikely((__pyx_v_lon2 == (double)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 494; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	5045	__pyx_v_lat2 = __pyx_PyFloat_AsDouble(values[3]); if (unlikely((__pyx_v_lat2 == (double)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 494; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	5046	__pyx_v_npts = __Pyx_PyInt_AsInt(values[4]); if (unlikely((__pyx_v_npts == (int)-1) && PyErr_Occurred())) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 494; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4680	5047	__pyx_v_radians = values[5];
4681	5048	}
4682	5049	goto __pyx_L4_argument_unpacking_done;
4683	5050	__pyx_L5_argtuple_error:;
4684		__Pyx_RaiseArgtupleInvalid("_npts", 0, 5, 6, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 481; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
	5051	__Pyx_RaiseArgtupleInvalid("_npts", 0, 5, 6, PyTuple_GET_SIZE(__pyx_args)); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 494; __pyx_clineno = __LINE__; goto __pyx_L3_error;}
4685	5052	__pyx_L3_error:;
4686	5053	__Pyx_AddTraceback("_proj.Geod._npts", __pyx_clineno, __pyx_lineno, __pyx_filename);
4687	5054	__Pyx_RefNannyFinishContext();

4692	5059	return __pyx_r;
4693	5060	}
4694	5061
4695		/* "_proj.pyx":481
	5062	/* "_proj.pyx":494
4696	5063	* azdata[i] = ps12
4697	5064	*
4698	5065	* def _npts(self, double lon1, double lat1, double lon2, double lat2, int npts, radians=False): # <<<<<<<<<<<<<<

4722	5089	int __pyx_clineno = 0;
4723	5090	__Pyx_RefNannySetupContext("_npts", 0);
4724	5091
4725		/* "_proj.pyx":486
	5092	/* "_proj.pyx":499
4726	5093	* cdef int i
4727	5094	* cdef double del_s,ps12,pazi1,pazi2,s12,plon2,plat2
4728	5095	* if radians: # <<<<<<<<<<<<<<
4729	5096	* lon1 = _rad2dg*lon1
4730	5097	* lat1 = _rad2dg*lat1
4731	5098	*/
4732		__pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_1 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 486; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5099	__pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_1 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 499; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4733	5100	if (__pyx_t_1) {
4734	5101
4735		/* "_proj.pyx":487
	5102	/* "_proj.pyx":500
4736	5103	* cdef double del_s,ps12,pazi1,pazi2,s12,plon2,plat2
4737	5104	* if radians:
4738	5105	* lon1 = _rad2dg*lon1 # <<<<<<<<<<<<<<

4741	5108	*/
4742	5109	__pyx_v_lon1 = (__pyx_v_5_proj__rad2dg * __pyx_v_lon1);
4743	5110
4744		/* "_proj.pyx":488
	5111	/* "_proj.pyx":501
4745	5112	* if radians:
4746	5113	* lon1 = _rad2dg*lon1
4747	5114	* lat1 = _rad2dg*lat1 # <<<<<<<<<<<<<<

4750	5117	*/
4751	5118	__pyx_v_lat1 = (__pyx_v_5_proj__rad2dg * __pyx_v_lat1);
4752	5119
4753		/* "_proj.pyx":489
	5120	/* "_proj.pyx":502
4754	5121	* lon1 = _rad2dg*lon1
4755	5122	* lat1 = _rad2dg*lat1
4756	5123	* lon2 = _rad2dg*lon2 # <<<<<<<<<<<<<<

4759	5126	*/
4760	5127	__pyx_v_lon2 = (__pyx_v_5_proj__rad2dg * __pyx_v_lon2);
4761	5128
4762		/* "_proj.pyx":490
	5129	/* "_proj.pyx":503
4763	5130	* lat1 = _rad2dg*lat1
4764	5131	* lon2 = _rad2dg*lon2
4765	5132	* lat2 = _rad2dg*lat2 # <<<<<<<<<<<<<<
4766	5133	* # do inverse computation to set azimuths, distance.
4767		* Inverse(&self._Geodesic, lat1, lon1, lat2, lon2,
	5134	* geod_inverse(&self._geod_geodesic, lat1, lon1, lat2, lon2,
4768	5135	*/
4769	5136	__pyx_v_lat2 = (__pyx_v_5_proj__rad2dg * __pyx_v_lat2);
4770	5137	goto __pyx_L3;
4771	5138	}
4772	5139	__pyx_L3:;
4773	5140
4774		/* "_proj.pyx":493
	5141	/* "_proj.pyx":506
4775	5142	* # do inverse computation to set azimuths, distance.
4776		* Inverse(&self._Geodesic, lat1, lon1, lat2, lon2,
	5143	* geod_inverse(&self._geod_geodesic, lat1, lon1, lat2, lon2,
4777	5144	* &ps12, &pazi1, &pazi2) # <<<<<<<<<<<<<<
4778	5145	* # distance increment.
4779	5146	* del_s = ps12/(npts+1)
4780	5147	*/
4781		Inverse((&__pyx_v_self->_Geodesic), __pyx_v_lat1, __pyx_v_lon1, __pyx_v_lat2, __pyx_v_lon2, (&__pyx_v_ps12), (&__pyx_v_pazi1), (&__pyx_v_pazi2));
4782
4783		/* "_proj.pyx":495
	5148	geod_inverse((&__pyx_v_self->_geod_geodesic), __pyx_v_lat1, __pyx_v_lon1, __pyx_v_lat2, __pyx_v_lon2, (&__pyx_v_ps12), (&__pyx_v_pazi1), (&__pyx_v_pazi2));
	5149
	5150	/* "_proj.pyx":508
4784	5151	* &ps12, &pazi1, &pazi2)
4785	5152	* # distance increment.
4786	5153	* del_s = ps12/(npts+1) # <<<<<<<<<<<<<<

4789	5156	*/
4790	5157	__pyx_t_2 = (__pyx_v_npts + 1);
4791	5158	if (unlikely(__pyx_t_2 == 0)) {
	5159	#ifdef WITH_THREAD
	5160	PyGILState_STATE __pyx_gilstate_save = PyGILState_Ensure();
	5161	#endif
4792	5162	PyErr_Format(PyExc_ZeroDivisionError, "float division");
4793		{__pyx_filename = __pyx_f[0]; __pyx_lineno = 495; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5163	#ifdef WITH_THREAD
	5164	PyGILState_Release(__pyx_gilstate_save);
	5165	#endif
	5166	{__pyx_filename = __pyx_f[0]; __pyx_lineno = 508; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4794	5167	}
4795	5168	__pyx_v_del_s = (__pyx_v_ps12 / __pyx_t_2);
4796	5169
4797		/* "_proj.pyx":497
	5170	/* "_proj.pyx":510
4798	5171	* del_s = ps12/(npts+1)
4799	5172	* # initialize output tuples.
4800	5173	* lats = () # <<<<<<<<<<<<<<

4804	5177	__Pyx_INCREF(((PyObject *)__pyx_empty_tuple));
4805	5178	__pyx_v_lats = __pyx_empty_tuple;
4806	5179
4807		/* "_proj.pyx":498
	5180	/* "_proj.pyx":511
4808	5181	* # initialize output tuples.
4809	5182	* lats = ()
4810	5183	* lons = () # <<<<<<<<<<<<<<

4814	5187	__Pyx_INCREF(((PyObject *)__pyx_empty_tuple));
4815	5188	__pyx_v_lons = __pyx_empty_tuple;
4816	5189
4817		/* "_proj.pyx":500
	5190	/* "_proj.pyx":513
4818	5191	* lons = ()
4819	5192	* # loop over intermediate points, compute lat/lons.
4820	5193	* for i from 1 <= i < npts+1: # <<<<<<<<<<<<<<
4821	5194	* s12 = i*del_s
4822		* Direct(&self._Geodesic, lat1, lon1, pazi1, s12,\
	5195	* geod_direct(&self._geod_geodesic, lat1, lon1, pazi1, s12,\
4823	5196	*/
4824	5197	__pyx_t_2 = (__pyx_v_npts + 1);
4825	5198	for (__pyx_v_i = 1; __pyx_v_i < __pyx_t_2; __pyx_v_i++) {
4826	5199
4827		/* "_proj.pyx":501
	5200	/* "_proj.pyx":514
4828	5201	* # loop over intermediate points, compute lat/lons.
4829	5202	* for i from 1 <= i < npts+1:
4830	5203	* s12 = i*del_s # <<<<<<<<<<<<<<
4831		* Direct(&self._Geodesic, lat1, lon1, pazi1, s12,\
	5204	* geod_direct(&self._geod_geodesic, lat1, lon1, pazi1, s12,\
4832	5205	* &plat2, &plon2, &pazi2)
4833	5206	*/
4834	5207	__pyx_v_s12 = (__pyx_v_i * __pyx_v_del_s);
4835	5208
4836		/* "_proj.pyx":503
	5209	/* "_proj.pyx":516
4837	5210	* s12 = i*del_s
4838		* Direct(&self._Geodesic, lat1, lon1, pazi1, s12,\
	5211	* geod_direct(&self._geod_geodesic, lat1, lon1, pazi1, s12,\
4839	5212	* &plat2, &plon2, &pazi2) # <<<<<<<<<<<<<<
4840	5213	* if radians:
4841	5214	* lats = lats + (_dg2rad*plat2,)
4842	5215	*/
4843		Direct((&__pyx_v_self->_Geodesic), __pyx_v_lat1, __pyx_v_lon1, __pyx_v_pazi1, __pyx_v_s12, (&__pyx_v_plat2), (&__pyx_v_plon2), (&__pyx_v_pazi2));
4844
4845		/* "_proj.pyx":504
4846		* Direct(&self._Geodesic, lat1, lon1, pazi1, s12,\
	5216	geod_direct((&__pyx_v_self->_geod_geodesic), __pyx_v_lat1, __pyx_v_lon1, __pyx_v_pazi1, __pyx_v_s12, (&__pyx_v_plat2), (&__pyx_v_plon2), (&__pyx_v_pazi2));
	5217
	5218	/* "_proj.pyx":517
	5219	* geod_direct(&self._geod_geodesic, lat1, lon1, pazi1, s12,\
4847	5220	* &plat2, &plon2, &pazi2)
4848	5221	* if radians: # <<<<<<<<<<<<<<
4849	5222	* lats = lats + (_dg2rad*plat2,)
4850	5223	* lons = lons + (_dg2rad*plon2,)
4851	5224	*/
4852		__pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_1 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 504; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5225	__pyx_t_1 = __Pyx_PyObject_IsTrue(__pyx_v_radians); if (unlikely(__pyx_t_1 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 517; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4853	5226	if (__pyx_t_1) {
4854	5227
4855		/* "_proj.pyx":505
	5228	/* "_proj.pyx":518
4856	5229	* &plat2, &plon2, &pazi2)
4857	5230	* if radians:
4858	5231	* lats = lats + (_dg2rad*plat2,) # <<<<<<<<<<<<<<
4859	5232	* lons = lons + (_dg2rad*plon2,)
4860	5233	* else:
4861	5234	*/
4862		__pyx_t_3 = PyFloat_FromDouble((__pyx_v_5_proj__dg2rad * __pyx_v_plat2)); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 505; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5235	__pyx_t_3 = PyFloat_FromDouble((__pyx_v_5_proj__dg2rad * __pyx_v_plat2)); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 518; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4863	5236	__Pyx_GOTREF(__pyx_t_3);
4864		__pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 505; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5237	__pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 518; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4865	5238	__Pyx_GOTREF(__pyx_t_4);
4866	5239	PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_3);
4867	5240	__Pyx_GIVEREF(__pyx_t_3);
4868	5241	__pyx_t_3 = 0;
4869		__pyx_t_3 = PyNumber_Add(((PyObject )__pyx_v_lats), ((PyObject )__pyx_t_4)); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 505; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5242	__pyx_t_3 = PyNumber_Add(((PyObject )__pyx_v_lats), ((PyObject )__pyx_t_4)); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 518; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4870	5243	__Pyx_GOTREF(((PyObject *)__pyx_t_3));
4871	5244	__Pyx_DECREF(((PyObject *)__pyx_t_4)); __pyx_t_4 = 0;
4872	5245	__Pyx_DECREF(((PyObject *)__pyx_v_lats));
4873		__pyx_v_lats = __pyx_t_3;
	5246	__pyx_v_lats = ((PyObject*)__pyx_t_3);
4874	5247	__pyx_t_3 = 0;
4875	5248
4876		/* "_proj.pyx":506
	5249	/* "_proj.pyx":519
4877	5250	* if radians:
4878	5251	* lats = lats + (_dg2rad*plat2,)
4879	5252	* lons = lons + (_dg2rad*plon2,) # <<<<<<<<<<<<<<
4880	5253	* else:
4881	5254	* lats = lats + (plat2,)
4882	5255	*/
4883		__pyx_t_3 = PyFloat_FromDouble((__pyx_v_5_proj__dg2rad * __pyx_v_plon2)); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 506; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5256	__pyx_t_3 = PyFloat_FromDouble((__pyx_v_5_proj__dg2rad * __pyx_v_plon2)); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 519; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4884	5257	__Pyx_GOTREF(__pyx_t_3);
4885		__pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 506; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5258	__pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 519; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4886	5259	__Pyx_GOTREF(__pyx_t_4);
4887	5260	PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_3);
4888	5261	__Pyx_GIVEREF(__pyx_t_3);
4889	5262	__pyx_t_3 = 0;
4890		__pyx_t_3 = PyNumber_Add(((PyObject )__pyx_v_lons), ((PyObject )__pyx_t_4)); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 506; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5263	__pyx_t_3 = PyNumber_Add(((PyObject )__pyx_v_lons), ((PyObject )__pyx_t_4)); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 519; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4891	5264	__Pyx_GOTREF(((PyObject *)__pyx_t_3));
4892	5265	__Pyx_DECREF(((PyObject *)__pyx_t_4)); __pyx_t_4 = 0;
4893	5266	__Pyx_DECREF(((PyObject *)__pyx_v_lons));
4894		__pyx_v_lons = __pyx_t_3;
	5267	__pyx_v_lons = ((PyObject*)__pyx_t_3);
4895	5268	__pyx_t_3 = 0;
4896	5269	goto __pyx_L6;
4897	5270	}
4898	5271	/else/ {
4899	5272
4900		/* "_proj.pyx":508
	5273	/* "_proj.pyx":521
4901	5274	* lons = lons + (_dg2rad*plon2,)
4902	5275	* else:
4903	5276	* lats = lats + (plat2,) # <<<<<<<<<<<<<<
4904	5277	* lons = lons + (plon2,)
4905	5278	* return lons, lats
4906	5279	*/
4907		__pyx_t_3 = PyFloat_FromDouble(__pyx_v_plat2); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 508; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5280	__pyx_t_3 = PyFloat_FromDouble(__pyx_v_plat2); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 521; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4908	5281	__Pyx_GOTREF(__pyx_t_3);
4909		__pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 508; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5282	__pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 521; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4910	5283	__Pyx_GOTREF(__pyx_t_4);
4911	5284	PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_3);
4912	5285	__Pyx_GIVEREF(__pyx_t_3);
4913	5286	__pyx_t_3 = 0;
4914		__pyx_t_3 = PyNumber_Add(((PyObject )__pyx_v_lats), ((PyObject )__pyx_t_4)); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 508; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5287	__pyx_t_3 = PyNumber_Add(((PyObject )__pyx_v_lats), ((PyObject )__pyx_t_4)); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 521; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4915	5288	__Pyx_GOTREF(((PyObject *)__pyx_t_3));
4916	5289	__Pyx_DECREF(((PyObject *)__pyx_t_4)); __pyx_t_4 = 0;
4917	5290	__Pyx_DECREF(((PyObject *)__pyx_v_lats));
4918		__pyx_v_lats = __pyx_t_3;
	5291	__pyx_v_lats = ((PyObject*)__pyx_t_3);
4919	5292	__pyx_t_3 = 0;
4920	5293
4921		/* "_proj.pyx":509
	5294	/* "_proj.pyx":522
4922	5295	* else:
4923	5296	* lats = lats + (plat2,)
4924	5297	* lons = lons + (plon2,) # <<<<<<<<<<<<<<
4925	5298	* return lons, lats
4926	5299	*/
4927		__pyx_t_3 = PyFloat_FromDouble(__pyx_v_plon2); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 509; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5300	__pyx_t_3 = PyFloat_FromDouble(__pyx_v_plon2); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 522; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4928	5301	__Pyx_GOTREF(__pyx_t_3);
4929		__pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 509; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5302	__pyx_t_4 = PyTuple_New(1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 522; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4930	5303	__Pyx_GOTREF(__pyx_t_4);
4931	5304	PyTuple_SET_ITEM(__pyx_t_4, 0, __pyx_t_3);
4932	5305	__Pyx_GIVEREF(__pyx_t_3);
4933	5306	__pyx_t_3 = 0;
4934		__pyx_t_3 = PyNumber_Add(((PyObject )__pyx_v_lons), ((PyObject )__pyx_t_4)); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 509; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5307	__pyx_t_3 = PyNumber_Add(((PyObject )__pyx_v_lons), ((PyObject )__pyx_t_4)); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 522; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4935	5308	__Pyx_GOTREF(((PyObject *)__pyx_t_3));
4936	5309	__Pyx_DECREF(((PyObject *)__pyx_t_4)); __pyx_t_4 = 0;
4937	5310	__Pyx_DECREF(((PyObject *)__pyx_v_lons));
4938		__pyx_v_lons = __pyx_t_3;
	5311	__pyx_v_lons = ((PyObject*)__pyx_t_3);
4939	5312	__pyx_t_3 = 0;
4940	5313	}
4941	5314	__pyx_L6:;
4942	5315	}
4943	5316
4944		/* "_proj.pyx":510
	5317	/* "_proj.pyx":523
4945	5318	* lats = lats + (plat2,)
4946	5319	* lons = lons + (plon2,)
4947	5320	* return lons, lats # <<<<<<<<<<<<<<
4948	5321	*/
4949	5322	__Pyx_XDECREF(__pyx_r);
4950		__pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 510; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5323	__pyx_t_3 = PyTuple_New(2); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 523; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
4951	5324	__Pyx_GOTREF(__pyx_t_3);
4952	5325	__Pyx_INCREF(((PyObject *)__pyx_v_lons));
4953	5326	PyTuple_SET_ITEM(__pyx_t_3, 0, ((PyObject *)__pyx_v_lons));

4985	5358	return __pyx_r;
4986	5359	}
4987	5360
4988		/* "_proj.pyx":355
	5361	/* "_proj.pyx":368
4989	5362	* cdef class Geod:
4990		* cdef Geodesic _Geodesic
	5363	* cdef geod_geodesic _geod_geodesic
4991	5364	* cdef public object initstring # <<<<<<<<<<<<<<
4992	5365	*
4993	5366	* def __cinit__(self, a, f):

5063	5436
5064	5437	static PyObject __pyx_tp_new_5_proj_Proj(PyTypeObject t, PyObject a, PyObject k) {
5065	5438	struct __pyx_obj_5_proj_Proj *p;
5066		PyObject o = (t->tp_alloc)(t, 0);
5067		if (!o) return 0;
	5439	PyObject *o;
	5440	o = (*t->tp_alloc)(t, 0);
	5441	if (unlikely(!o)) return 0;
5068	5442	p = ((struct __pyx_obj_5_proj_Proj *)o);
5069	5443	p->proj_version = Py_None; Py_INCREF(Py_None);
5070	5444	p->srs = Py_None; Py_INCREF(Py_None);
5071		if (__pyx_pw_5_proj_4Proj_1__cinit__(o, a, k) < 0) {
	5445	if (unlikely(__pyx_pw_5_proj_4Proj_1__cinit__(o, a, k) < 0)) {
5072	5446	Py_DECREF(o); o = 0;
5073	5447	}
5074	5448	return o;

5088	5462	}
5089	5463	Py_CLEAR(p->proj_version);
5090	5464	Py_CLEAR(p->srs);
5091		PyObject_GC_Track(o);
5092	5465	(*Py_TYPE(o)->tp_free)(o);
5093	5466	}
5094	5467

5143	5516	}
5144	5517
5145	5518	static PyMethodDef __pyx_methods_5_proj_Proj[] = {
5146		{__Pyx_NAMESTR("__reduce__"), (PyCFunction)__pyx_pw_5_proj_4Proj_5__reduce__, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_5_proj_4Proj_4__reduce__)},
5147		{__Pyx_NAMESTR("_fwd"), (PyCFunction)__pyx_pw_5_proj_4Proj_7_fwd, METH_VARARGS\|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_5_proj_4Proj_6_fwd)},
5148		{__Pyx_NAMESTR("_inv"), (PyCFunction)__pyx_pw_5_proj_4Proj_9_inv, METH_VARARGS\|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_5_proj_4Proj_8_inv)},
5149		{__Pyx_NAMESTR("is_latlong"), (PyCFunction)__pyx_pw_5_proj_4Proj_11is_latlong, METH_NOARGS, __Pyx_DOCSTR(0)},
5150		{__Pyx_NAMESTR("is_geocent"), (PyCFunction)__pyx_pw_5_proj_4Proj_13is_geocent, METH_NOARGS, __Pyx_DOCSTR(0)},
	5519	{__Pyx_NAMESTR("to_latlong"), (PyCFunction)__pyx_pw_5_proj_4Proj_5to_latlong, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_5_proj_4Proj_4to_latlong)},
	5520	{__Pyx_NAMESTR("__reduce__"), (PyCFunction)__pyx_pw_5_proj_4Proj_7__reduce__, METH_NOARGS, __Pyx_DOCSTR(__pyx_doc_5_proj_4Proj_6__reduce__)},
	5521	{__Pyx_NAMESTR("_fwd"), (PyCFunction)__pyx_pw_5_proj_4Proj_9_fwd, METH_VARARGS\|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_5_proj_4Proj_8_fwd)},
	5522	{__Pyx_NAMESTR("_inv"), (PyCFunction)__pyx_pw_5_proj_4Proj_11_inv, METH_VARARGS\|METH_KEYWORDS, __Pyx_DOCSTR(__pyx_doc_5_proj_4Proj_10_inv)},
	5523	{__Pyx_NAMESTR("is_latlong"), (PyCFunction)__pyx_pw_5_proj_4Proj_13is_latlong, METH_NOARGS, __Pyx_DOCSTR(0)},
	5524	{__Pyx_NAMESTR("is_geocent"), (PyCFunction)__pyx_pw_5_proj_4Proj_15is_geocent, METH_NOARGS, __Pyx_DOCSTR(0)},
5151	5525	{0, 0, 0, 0}
5152	5526	};
5153	5527

5155	5529	{(char *)"proj_version", __pyx_getprop_5_proj_4Proj_proj_version, __pyx_setprop_5_proj_4Proj_proj_version, 0, 0},
5156	5530	{(char *)"srs", __pyx_getprop_5_proj_4Proj_srs, __pyx_setprop_5_proj_4Proj_srs, 0, 0},
5157	5531	{0, 0, 0, 0, 0}
5158		};
5159
5160		static PyNumberMethods __pyx_tp_as_number_Proj = {
5161		0, /nb_add/
5162		0, /nb_subtract/
5163		0, /nb_multiply/
5164		#if PY_MAJOR_VERSION < 3
5165		0, /nb_divide/
5166		#endif
5167		0, /nb_remainder/
5168		0, /nb_divmod/
5169		0, /nb_power/
5170		0, /nb_negative/
5171		0, /nb_positive/
5172		0, /nb_absolute/
5173		0, /nb_nonzero/
5174		0, /nb_invert/
5175		0, /nb_lshift/
5176		0, /nb_rshift/
5177		0, /nb_and/
5178		0, /nb_xor/
5179		0, /nb_or/
5180		#if PY_MAJOR_VERSION < 3
5181		0, /nb_coerce/
5182		#endif
5183		0, /nb_int/
5184		#if PY_MAJOR_VERSION < 3
5185		0, /nb_long/
5186		#else
5187		0, /reserved/
5188		#endif
5189		0, /nb_float/
5190		#if PY_MAJOR_VERSION < 3
5191		0, /nb_oct/
5192		#endif
5193		#if PY_MAJOR_VERSION < 3
5194		0, /nb_hex/
5195		#endif
5196		0, /nb_inplace_add/
5197		0, /nb_inplace_subtract/
5198		0, /nb_inplace_multiply/
5199		#if PY_MAJOR_VERSION < 3
5200		0, /nb_inplace_divide/
5201		#endif
5202		0, /nb_inplace_remainder/
5203		0, /nb_inplace_power/
5204		0, /nb_inplace_lshift/
5205		0, /nb_inplace_rshift/
5206		0, /nb_inplace_and/
5207		0, /nb_inplace_xor/
5208		0, /nb_inplace_or/
5209		0, /nb_floor_divide/
5210		0, /nb_true_divide/
5211		0, /nb_inplace_floor_divide/
5212		0, /nb_inplace_true_divide/
5213		#if PY_VERSION_HEX >= 0x02050000
5214		0, /nb_index/
5215		#endif
5216		};
5217
5218		static PySequenceMethods __pyx_tp_as_sequence_Proj = {
5219		0, /sq_length/
5220		0, /sq_concat/
5221		0, /sq_repeat/
5222		0, /sq_item/
5223		0, /sq_slice/
5224		0, /sq_ass_item/
5225		0, /sq_ass_slice/
5226		0, /sq_contains/
5227		0, /sq_inplace_concat/
5228		0, /sq_inplace_repeat/
5229		};
5230
5231		static PyMappingMethods __pyx_tp_as_mapping_Proj = {
5232		0, /mp_length/
5233		0, /mp_subscript/
5234		0, /mp_ass_subscript/
5235		};
5236
5237		static PyBufferProcs __pyx_tp_as_buffer_Proj = {
5238		#if PY_MAJOR_VERSION < 3
5239		0, /bf_getreadbuffer/
5240		#endif
5241		#if PY_MAJOR_VERSION < 3
5242		0, /bf_getwritebuffer/
5243		#endif
5244		#if PY_MAJOR_VERSION < 3
5245		0, /bf_getsegcount/
5246		#endif
5247		#if PY_MAJOR_VERSION < 3
5248		0, /bf_getcharbuffer/
5249		#endif
5250		#if PY_VERSION_HEX >= 0x02060000
5251		0, /bf_getbuffer/
5252		#endif
5253		#if PY_VERSION_HEX >= 0x02060000
5254		0, /bf_releasebuffer/
5255		#endif
5256	5532	};
5257	5533
5258	5534	static PyTypeObject __pyx_type_5_proj_Proj = {

5270	5546	0, /reserved/
5271	5547	#endif
5272	5548	0, /tp_repr/
5273		&__pyx_tp_as_number_Proj, /tp_as_number/
5274		&__pyx_tp_as_sequence_Proj, /tp_as_sequence/
5275		&__pyx_tp_as_mapping_Proj, /tp_as_mapping/
	5549	0, /tp_as_number/
	5550	0, /tp_as_sequence/
	5551	0, /tp_as_mapping/
5276	5552	0, /tp_hash/
5277	5553	0, /tp_call/
5278	5554	0, /tp_str/
5279	5555	0, /tp_getattro/
5280	5556	0, /tp_setattro/
5281		&__pyx_tp_as_buffer_Proj, /tp_as_buffer/
5282		Py_TPFLAGS_DEFAULT\|Py_TPFLAGS_CHECKTYPES\|Py_TPFLAGS_HAVE_NEWBUFFER\|Py_TPFLAGS_BASETYPE\|Py_TPFLAGS_HAVE_GC, /tp_flags/
	5557	0, /tp_as_buffer/
	5558	Py_TPFLAGS_DEFAULT\|Py_TPFLAGS_HAVE_VERSION_TAG\|Py_TPFLAGS_CHECKTYPES\|Py_TPFLAGS_HAVE_NEWBUFFER\|Py_TPFLAGS_BASETYPE\|Py_TPFLAGS_HAVE_GC, /tp_flags/
5283	5559	0, /tp_doc/
5284	5560	__pyx_tp_traverse_5_proj_Proj, /tp_traverse/
5285	5561	__pyx_tp_clear_5_proj_Proj, /tp_clear/

5313	5589
5314	5590	static PyObject __pyx_tp_new_5_proj_Geod(PyTypeObject t, PyObject a, PyObject k) {
5315	5591	struct __pyx_obj_5_proj_Geod *p;
5316		PyObject o = (t->tp_alloc)(t, 0);
5317		if (!o) return 0;
	5592	PyObject *o;
	5593	o = (*t->tp_alloc)(t, 0);
	5594	if (unlikely(!o)) return 0;
5318	5595	p = ((struct __pyx_obj_5_proj_Geod *)o);
5319	5596	p->initstring = Py_None; Py_INCREF(Py_None);
5320		if (__pyx_pw_5_proj_4Geod_1__cinit__(o, a, k) < 0) {
	5597	if (unlikely(__pyx_pw_5_proj_4Geod_1__cinit__(o, a, k) < 0)) {
5321	5598	Py_DECREF(o); o = 0;
5322	5599	}
5323	5600	return o;

5327	5604	struct __pyx_obj_5_proj_Geod p = (struct __pyx_obj_5_proj_Geod )o;
5328	5605	PyObject_GC_UnTrack(o);
5329	5606	Py_CLEAR(p->initstring);
5330		PyObject_GC_Track(o);
5331	5607	(*Py_TYPE(o)->tp_free)(o);
5332	5608	}
5333	5609

5373	5649	static struct PyGetSetDef __pyx_getsets_5_proj_Geod[] = {
5374	5650	{(char *)"initstring", __pyx_getprop_5_proj_4Geod_initstring, __pyx_setprop_5_proj_4Geod_initstring, 0, 0},
5375	5651	{0, 0, 0, 0, 0}
5376		};
5377
5378		static PyNumberMethods __pyx_tp_as_number_Geod = {
5379		0, /nb_add/
5380		0, /nb_subtract/
5381		0, /nb_multiply/
5382		#if PY_MAJOR_VERSION < 3
5383		0, /nb_divide/
5384		#endif
5385		0, /nb_remainder/
5386		0, /nb_divmod/
5387		0, /nb_power/
5388		0, /nb_negative/
5389		0, /nb_positive/
5390		0, /nb_absolute/
5391		0, /nb_nonzero/
5392		0, /nb_invert/
5393		0, /nb_lshift/
5394		0, /nb_rshift/
5395		0, /nb_and/
5396		0, /nb_xor/
5397		0, /nb_or/
5398		#if PY_MAJOR_VERSION < 3
5399		0, /nb_coerce/
5400		#endif
5401		0, /nb_int/
5402		#if PY_MAJOR_VERSION < 3
5403		0, /nb_long/
5404		#else
5405		0, /reserved/
5406		#endif
5407		0, /nb_float/
5408		#if PY_MAJOR_VERSION < 3
5409		0, /nb_oct/
5410		#endif
5411		#if PY_MAJOR_VERSION < 3
5412		0, /nb_hex/
5413		#endif
5414		0, /nb_inplace_add/
5415		0, /nb_inplace_subtract/
5416		0, /nb_inplace_multiply/
5417		#if PY_MAJOR_VERSION < 3
5418		0, /nb_inplace_divide/
5419		#endif
5420		0, /nb_inplace_remainder/
5421		0, /nb_inplace_power/
5422		0, /nb_inplace_lshift/
5423		0, /nb_inplace_rshift/
5424		0, /nb_inplace_and/
5425		0, /nb_inplace_xor/
5426		0, /nb_inplace_or/
5427		0, /nb_floor_divide/
5428		0, /nb_true_divide/
5429		0, /nb_inplace_floor_divide/
5430		0, /nb_inplace_true_divide/
5431		#if PY_VERSION_HEX >= 0x02050000
5432		0, /nb_index/
5433		#endif
5434		};
5435
5436		static PySequenceMethods __pyx_tp_as_sequence_Geod = {
5437		0, /sq_length/
5438		0, /sq_concat/
5439		0, /sq_repeat/
5440		0, /sq_item/
5441		0, /sq_slice/
5442		0, /sq_ass_item/
5443		0, /sq_ass_slice/
5444		0, /sq_contains/
5445		0, /sq_inplace_concat/
5446		0, /sq_inplace_repeat/
5447		};
5448
5449		static PyMappingMethods __pyx_tp_as_mapping_Geod = {
5450		0, /mp_length/
5451		0, /mp_subscript/
5452		0, /mp_ass_subscript/
5453		};
5454
5455		static PyBufferProcs __pyx_tp_as_buffer_Geod = {
5456		#if PY_MAJOR_VERSION < 3
5457		0, /bf_getreadbuffer/
5458		#endif
5459		#if PY_MAJOR_VERSION < 3
5460		0, /bf_getwritebuffer/
5461		#endif
5462		#if PY_MAJOR_VERSION < 3
5463		0, /bf_getsegcount/
5464		#endif
5465		#if PY_MAJOR_VERSION < 3
5466		0, /bf_getcharbuffer/
5467		#endif
5468		#if PY_VERSION_HEX >= 0x02060000
5469		0, /bf_getbuffer/
5470		#endif
5471		#if PY_VERSION_HEX >= 0x02060000
5472		0, /bf_releasebuffer/
5473		#endif
5474	5652	};
5475	5653
5476	5654	static PyTypeObject __pyx_type_5_proj_Geod = {

5488	5666	0, /reserved/
5489	5667	#endif
5490	5668	0, /tp_repr/
5491		&__pyx_tp_as_number_Geod, /tp_as_number/
5492		&__pyx_tp_as_sequence_Geod, /tp_as_sequence/
5493		&__pyx_tp_as_mapping_Geod, /tp_as_mapping/
	5669	0, /tp_as_number/
	5670	0, /tp_as_sequence/
	5671	0, /tp_as_mapping/
5494	5672	0, /tp_hash/
5495	5673	0, /tp_call/
5496	5674	0, /tp_str/
5497	5675	0, /tp_getattro/
5498	5676	0, /tp_setattro/
5499		&__pyx_tp_as_buffer_Geod, /tp_as_buffer/
5500		Py_TPFLAGS_DEFAULT\|Py_TPFLAGS_CHECKTYPES\|Py_TPFLAGS_HAVE_NEWBUFFER\|Py_TPFLAGS_BASETYPE\|Py_TPFLAGS_HAVE_GC, /tp_flags/
	5677	0, /tp_as_buffer/
	5678	Py_TPFLAGS_DEFAULT\|Py_TPFLAGS_HAVE_VERSION_TAG\|Py_TPFLAGS_CHECKTYPES\|Py_TPFLAGS_HAVE_NEWBUFFER\|Py_TPFLAGS_BASETYPE\|Py_TPFLAGS_HAVE_GC, /tp_flags/
5501	5679	0, /tp_doc/
5502	5680	__pyx_tp_traverse_5_proj_Geod, /tp_traverse/
5503	5681	__pyx_tp_clear_5_proj_Geod, /tp_clear/

5535	5713
5536	5714	#if PY_MAJOR_VERSION >= 3
5537	5715	static struct PyModuleDef __pyx_moduledef = {
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5538	5719	PyModuleDef_HEAD_INIT,
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5541	5723	-1, /* m_size */

5559	5741	{&__pyx_n_s__RuntimeError, __pyx_k__RuntimeError, sizeof(__pyx_k__RuntimeError), 0, 0, 1, 1},
5560	5742	{&__pyx_n_s__ValueError, __pyx_k__ValueError, sizeof(__pyx_k__ValueError), 0, 0, 1, 1},
5561	5743	{&__pyx_n_s____class__, __pyx_k____class__, sizeof(__pyx_k____class__), 0, 0, 1, 1},
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5562	5745	{&__pyx_n_s____main__, __pyx_k____main__, sizeof(__pyx_k____main__), 0, 0, 1, 1},
5563	5746	{&__pyx_n_s____test__, __pyx_k____test__, sizeof(__pyx_k____test__), 0, 0, 1, 1},
5564	5747	{&__pyx_n_s____version__, __pyx_k____version__, sizeof(__pyx_k____version__), 0, 0, 1, 1},
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5565	5749	{&__pyx_n_s___doublesize, __pyx_k___doublesize, sizeof(__pyx_k___doublesize), 0, 0, 1, 1},
5566	5750	{&__pyx_n_s___proj, __pyx_k___proj, sizeof(__pyx_k___proj), 0, 0, 1, 1},
5567	5751	{&__pyx_n_s___transform, __pyx_k___transform, sizeof(__pyx_k___transform), 0, 0, 1, 1},

5613	5797	{0, 0, 0, 0, 0, 0, 0}
5614	5798	};
5615	5799	static int __Pyx_InitCachedBuiltins(void) {
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5617		__pyx_builtin_AttributeError = __Pyx_GetName(__pyx_b, __pyx_n_s__AttributeError); if (!__pyx_builtin_AttributeError) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 350; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5618		__pyx_builtin_ValueError = __Pyx_GetName(__pyx_b, __pyx_n_s__ValueError); if (!__pyx_builtin_ValueError) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 414; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5800	__pyx_builtin_RuntimeError = __Pyx_GetBuiltinName(__pyx_n_s__RuntimeError); if (!__pyx_builtin_RuntimeError) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 84; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5801	__pyx_builtin_AttributeError = __Pyx_GetBuiltinName(__pyx_n_s__AttributeError); if (!__pyx_builtin_AttributeError) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 363; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5802	__pyx_builtin_ValueError = __Pyx_GetBuiltinName(__pyx_n_s__ValueError); if (!__pyx_builtin_ValueError) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 427; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5619	5803	return 0;
5620	5804	__pyx_L1_error:;
5621	5805	return -1;

5625	5809	__Pyx_RefNannyDeclarations
5626	5810	__Pyx_RefNannySetupContext("__Pyx_InitCachedConstants", 0);
5627	5811
5628		/* "_proj.pyx":113
	5812	/* "_proj.pyx":126
5629	5813	* # process data in buffer
5630	5814	* if buflenx != bufleny:
5631	5815	* raise RuntimeError("Buffer lengths not the same") # <<<<<<<<<<<<<<
5632	5816	* ndim = buflenx//_doublesize
5633	5817	* lonsdata = <double *>londata
5634	5818	*/
5635		__pyx_k_tuple_4 = PyTuple_New(1); if (unlikely(!__pyx_k_tuple_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 113; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5819	__pyx_k_tuple_4 = PyTuple_Pack(1, ((PyObject *)__pyx_kp_s_3)); if (unlikely(!__pyx_k_tuple_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 126; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5636	5820	__Pyx_GOTREF(__pyx_k_tuple_4);
5637		__Pyx_INCREF(((PyObject *)__pyx_kp_s_3));
5638		PyTuple_SET_ITEM(__pyx_k_tuple_4, 0, ((PyObject *)__pyx_kp_s_3));
5639		__Pyx_GIVEREF(((PyObject *)__pyx_kp_s_3));
5640	5821	__Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_4));
5641	5822
5642		/* "_proj.pyx":122
	5823	/* "_proj.pyx":135
5643	5824	* lonsdata[i]=1.e30; latsdata[i]=1.e30
5644	5825	* if errcheck:
5645	5826	* raise RuntimeError('projection undefined') # <<<<<<<<<<<<<<
5646	5827	* continue
5647	5828	* if radians:
5648	5829	*/
5649		__pyx_k_tuple_6 = PyTuple_New(1); if (unlikely(!__pyx_k_tuple_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 122; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5830	__pyx_k_tuple_6 = PyTuple_Pack(1, ((PyObject *)__pyx_kp_s_5)); if (unlikely(!__pyx_k_tuple_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 135; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5650	5831	__Pyx_GOTREF(__pyx_k_tuple_6);
5651		__Pyx_INCREF(((PyObject *)__pyx_kp_s_5));
5652		PyTuple_SET_ITEM(__pyx_k_tuple_6, 0, ((PyObject *)__pyx_kp_s_5));
5653		__Pyx_GIVEREF(((PyObject *)__pyx_kp_s_5));
5654	5832	__Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_6));
5655	5833
5656		/* "_proj.pyx":141
	5834	/* "_proj.pyx":154
5657	5835	* projxyout.u != projxyout.u:
5658	5836	* if errcheck:
5659	5837	* raise RuntimeError('projection undefined') # <<<<<<<<<<<<<<
5660	5838	* lonsdata[i] = 1.e30
5661	5839	* else:
5662	5840	*/
5663		__pyx_k_tuple_7 = PyTuple_New(1); if (unlikely(!__pyx_k_tuple_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 141; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5841	__pyx_k_tuple_7 = PyTuple_Pack(1, ((PyObject *)__pyx_kp_s_5)); if (unlikely(!__pyx_k_tuple_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 154; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5664	5842	__Pyx_GOTREF(__pyx_k_tuple_7);
5665		__Pyx_INCREF(((PyObject *)__pyx_kp_s_5));
5666		PyTuple_SET_ITEM(__pyx_k_tuple_7, 0, ((PyObject *)__pyx_kp_s_5));
5667		__Pyx_GIVEREF(((PyObject *)__pyx_kp_s_5));
5668	5843	__Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_7));
5669	5844
5670		/* "_proj.pyx":148
	5845	/* "_proj.pyx":161
5671	5846	* projxyout.u != projxyout.u:
5672	5847	* if errcheck:
5673	5848	* raise RuntimeError('projection undefined') # <<<<<<<<<<<<<<
5674	5849	* latsdata[i] = 1.e30
5675	5850	* else:
5676	5851	*/
5677		__pyx_k_tuple_8 = PyTuple_New(1); if (unlikely(!__pyx_k_tuple_8)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 148; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5852	__pyx_k_tuple_8 = PyTuple_Pack(1, ((PyObject *)__pyx_kp_s_5)); if (unlikely(!__pyx_k_tuple_8)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 161; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5678	5853	__Pyx_GOTREF(__pyx_k_tuple_8);
5679		__Pyx_INCREF(((PyObject *)__pyx_kp_s_5));
5680		PyTuple_SET_ITEM(__pyx_k_tuple_8, 0, ((PyObject *)__pyx_kp_s_5));
5681		__Pyx_GIVEREF(((PyObject *)__pyx_kp_s_5));
5682	5854	__Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_8));
5683	5855
5684		/* "_proj.pyx":174
	5856	/* "_proj.pyx":187
5685	5857	* # (for numpy/regular python arrays).
5686	5858	* if buflenx != bufleny:
5687	5859	* raise RuntimeError("Buffer lengths not the same") # <<<<<<<<<<<<<<
5688	5860	* ndim = buflenx//_doublesize
5689	5861	* xdatab = <double *>xdata
5690	5862	*/
5691		__pyx_k_tuple_11 = PyTuple_New(1); if (unlikely(!__pyx_k_tuple_11)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 174; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5863	__pyx_k_tuple_11 = PyTuple_Pack(1, ((PyObject *)__pyx_kp_s_3)); if (unlikely(!__pyx_k_tuple_11)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 187; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5692	5864	__Pyx_GOTREF(__pyx_k_tuple_11);
5693		__Pyx_INCREF(((PyObject *)__pyx_kp_s_3));
5694		PyTuple_SET_ITEM(__pyx_k_tuple_11, 0, ((PyObject *)__pyx_kp_s_3));
5695		__Pyx_GIVEREF(((PyObject *)__pyx_kp_s_3));
5696	5865	__Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_11));
5697	5866
5698		/* "_proj.pyx":183
	5867	/* "_proj.pyx":196
5699	5868	* xdatab[i]=1.e30; ydatab[i]=1.e30
5700	5869	* if errcheck:
5701	5870	* raise RuntimeError('projection undefined') # <<<<<<<<<<<<<<
5702	5871	* continue
5703	5872	* projxyin.u = xdatab[i]
5704	5873	*/
5705		__pyx_k_tuple_12 = PyTuple_New(1); if (unlikely(!__pyx_k_tuple_12)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 183; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5874	__pyx_k_tuple_12 = PyTuple_Pack(1, ((PyObject *)__pyx_kp_s_5)); if (unlikely(!__pyx_k_tuple_12)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 196; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5706	5875	__Pyx_GOTREF(__pyx_k_tuple_12);
5707		__Pyx_INCREF(((PyObject *)__pyx_kp_s_5));
5708		PyTuple_SET_ITEM(__pyx_k_tuple_12, 0, ((PyObject *)__pyx_kp_s_5));
5709		__Pyx_GIVEREF(((PyObject *)__pyx_kp_s_5));
5710	5876	__Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_12));
5711	5877
5712		/* "_proj.pyx":198
	5878	/* "_proj.pyx":211
5713	5879	* projlonlatout.u != projlonlatout.u:
5714	5880	* if errcheck:
5715	5881	* raise RuntimeError('projection undefined') # <<<<<<<<<<<<<<
5716	5882	* xdatab[i] = 1.e30
5717	5883	* elif radians:
5718	5884	*/
5719		__pyx_k_tuple_13 = PyTuple_New(1); if (unlikely(!__pyx_k_tuple_13)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 198; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5885	__pyx_k_tuple_13 = PyTuple_Pack(1, ((PyObject *)__pyx_kp_s_5)); if (unlikely(!__pyx_k_tuple_13)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 211; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5720	5886	__Pyx_GOTREF(__pyx_k_tuple_13);
5721		__Pyx_INCREF(((PyObject *)__pyx_kp_s_5));
5722		PyTuple_SET_ITEM(__pyx_k_tuple_13, 0, ((PyObject *)__pyx_kp_s_5));
5723		__Pyx_GIVEREF(((PyObject *)__pyx_kp_s_5));
5724	5887	__Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_13));
5725	5888
5726		/* "_proj.pyx":207
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5727	5890	* projlonlatout.v != projlonlatout.v:
5728	5891	* if errcheck:
5729	5892	* raise RuntimeError('projection undefined') # <<<<<<<<<<<<<<
5730	5893	* ydatab[i] = 1.e30
5731	5894	* elif radians:
5732	5895	*/
5733		__pyx_k_tuple_14 = PyTuple_New(1); if (unlikely(!__pyx_k_tuple_14)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 207; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5896	__pyx_k_tuple_14 = PyTuple_Pack(1, ((PyObject *)__pyx_kp_s_5)); if (unlikely(!__pyx_k_tuple_14)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 220; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5734	5897	__Pyx_GOTREF(__pyx_k_tuple_14);
5735		__Pyx_INCREF(((PyObject *)__pyx_kp_s_5));
5736		PyTuple_SET_ITEM(__pyx_k_tuple_14, 0, ((PyObject *)__pyx_kp_s_5));
5737		__Pyx_GIVEREF(((PyObject *)__pyx_kp_s_5));
5738	5898	__Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_14));
5739	5899
5740		/* "_proj.pyx":325
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5741	5901	* buflenz = bufleny
5742	5902	* if not (buflenx == bufleny == buflenz):
5743	5903	* raise RuntimeError('x,y and z must be same size') # <<<<<<<<<<<<<<
5744	5904	* xx = <double *>xdata
5745	5905	* yy = <double *>ydata
5746	5906	*/
5747		__pyx_k_tuple_16 = PyTuple_New(1); if (unlikely(!__pyx_k_tuple_16)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 325; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5907	__pyx_k_tuple_16 = PyTuple_Pack(1, ((PyObject *)__pyx_kp_s_15)); if (unlikely(!__pyx_k_tuple_16)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 338; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5748	5908	__Pyx_GOTREF(__pyx_k_tuple_16);
5749		__Pyx_INCREF(((PyObject *)__pyx_kp_s_15));
5750		PyTuple_SET_ITEM(__pyx_k_tuple_16, 0, ((PyObject *)__pyx_kp_s_15));
5751		__Pyx_GIVEREF(((PyObject *)__pyx_kp_s_15));
5752	5909	__Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_16));
5753	5910
5754		/* "_proj.pyx":387
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5755	5912	* # process data in buffer
5756	5913	* if not buflenlons == buflenlats == buflenaz == buflend:
5757	5914	* raise RuntimeError("Buffer lengths not the same") # <<<<<<<<<<<<<<
5758	5915	* ndim = buflenlons//_doublesize
5759	5916	* lonsdata = <double *>londata
5760	5917	*/
5761		__pyx_k_tuple_19 = PyTuple_New(1); if (unlikely(!__pyx_k_tuple_19)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 387; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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5762	5919	__Pyx_GOTREF(__pyx_k_tuple_19);
5763		__Pyx_INCREF(((PyObject *)__pyx_kp_s_3));
5764		PyTuple_SET_ITEM(__pyx_k_tuple_19, 0, ((PyObject *)__pyx_kp_s_3));
5765		__Pyx_GIVEREF(((PyObject *)__pyx_kp_s_3));
5766	5920	__Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_19));
5767	5921
5768		/* "_proj.pyx":414
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5769	5923	* # check for NaN.
5770	5924	* if pazi2 != pazi2:
5771	5925	* raise ValueError('undefined inverse geodesic (may be an antipodal point)') # <<<<<<<<<<<<<<
5772	5926	* if not radians:
5773	5927	* lonsdata[i] = plon2
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5775		__pyx_k_tuple_21 = PyTuple_New(1); if (unlikely(!__pyx_k_tuple_21)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 414; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5929	__pyx_k_tuple_21 = PyTuple_Pack(1, ((PyObject *)__pyx_kp_s_20)); if (unlikely(!__pyx_k_tuple_21)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 427; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5776	5930	__Pyx_GOTREF(__pyx_k_tuple_21);
5777		__Pyx_INCREF(((PyObject *)__pyx_kp_s_20));
5778		PyTuple_SET_ITEM(__pyx_k_tuple_21, 0, ((PyObject *)__pyx_kp_s_20));
5779		__Pyx_GIVEREF(((PyObject *)__pyx_kp_s_20));
5780	5931	__Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_21));
5781	5932
5782		/* "_proj.pyx":445
	5933	/* "_proj.pyx":458
5783	5934	* # process data in buffer
5784	5935	* if not buflenlons == buflenlats == buflenaz == buflend:
5785	5936	* raise RuntimeError("Buffer lengths not the same") # <<<<<<<<<<<<<<
5786	5937	* ndim = buflenlons//_doublesize
5787	5938	* lonsdata = <double *>londata
5788	5939	*/
5789		__pyx_k_tuple_23 = PyTuple_New(1); if (unlikely(!__pyx_k_tuple_23)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 445; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5940	__pyx_k_tuple_23 = PyTuple_Pack(1, ((PyObject *)__pyx_kp_s_3)); if (unlikely(!__pyx_k_tuple_23)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 458; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5790	5941	__Pyx_GOTREF(__pyx_k_tuple_23);
5791		__Pyx_INCREF(((PyObject *)__pyx_kp_s_3));
5792		PyTuple_SET_ITEM(__pyx_k_tuple_23, 0, ((PyObject *)__pyx_kp_s_3));
5793		__Pyx_GIVEREF(((PyObject *)__pyx_kp_s_3));
5794	5942	__Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_23));
5795	5943
5796		/* "_proj.pyx":472
	5944	/* "_proj.pyx":485
5797	5945	* pazi2 = pazi2+180.
5798	5946	* if ps12 != ps12: # check for NaN
5799	5947	* raise ValueError('undefined inverse geodesic (may be an antipodal point)') # <<<<<<<<<<<<<<
5800	5948	* if radians:
5801	5949	* lonsdata[i] = _rad2dg*pazi1
5802	5950	*/
5803		__pyx_k_tuple_24 = PyTuple_New(1); if (unlikely(!__pyx_k_tuple_24)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 472; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	5951	__pyx_k_tuple_24 = PyTuple_Pack(1, ((PyObject *)__pyx_kp_s_20)); if (unlikely(!__pyx_k_tuple_24)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 485; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
5804	5952	__Pyx_GOTREF(__pyx_k_tuple_24);
5805		__Pyx_INCREF(((PyObject *)__pyx_kp_s_20));
5806		PyTuple_SET_ITEM(__pyx_k_tuple_24, 0, ((PyObject *)__pyx_kp_s_20));
5807		__Pyx_GIVEREF(((PyObject *)__pyx_kp_s_20));
5808	5953	__Pyx_GIVEREF(((PyObject *)__pyx_k_tuple_24));
5809	5954
5810		/* "_proj.pyx":56
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5811	5956	* int PyObject_AsWriteBuffer(object, void *rbuf, Py_ssize_t len)
5812	5957	*
5813	5958	* def set_datapath(datapath): # <<<<<<<<<<<<<<
5814		* cdef char *searchpath
5815	5959	* bytestr = _strencode(datapath)
5816		*/
5817		__pyx_k_tuple_27 = PyTuple_New(3); if (unlikely(!__pyx_k_tuple_27)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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5818	5963	__Pyx_GOTREF(__pyx_k_tuple_27);
5819		__Pyx_INCREF(((PyObject *)__pyx_n_s__datapath));
5820		PyTuple_SET_ITEM(__pyx_k_tuple_27, 0, ((PyObject *)__pyx_n_s__datapath));
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5960	6059	{
5961	6060	PyObject *modules = PyImport_GetModuleDict(); if (unlikely(!modules)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

5971	6070	if (__Pyx_SetAttrString(__pyx_m, "__builtins__", __pyx_b) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;};
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5983	6085	/--- Function export code ---/
5984	6086	/--- Type init code ---/
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5986		if (__Pyx_SetAttrString(__pyx_m, "Proj", (PyObject *)&__pyx_type_5_proj_Proj) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 62; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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5987	6089	__pyx_ptype_5_proj_Proj = &__pyx_type_5_proj_Proj;
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5989		if (__Pyx_SetAttrString(__pyx_m, "Geod", (PyObject *)&__pyx_type_5_proj_Geod) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 353; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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6013	6115	* _doublesize = sizeof(double)
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6063	6165	* _dg2rad = math.radians(1.)
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6070	6172	__Pyx_GOTREF(__pyx_t_1);
6071		if (PyObject_SetAttr(__pyx_m, __pyx_n_s___doublesize, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 10; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6173	if (PyDict_SetItem(__pyx_d, __pyx_n_s___doublesize, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 10; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
6072	6174	__Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
6073	6175
6074	6176	/* "_proj.pyx":11
6075	6177	* _rad2dg = math.degrees(1.)
6076	6178	* _doublesize = sizeof(double)
6077		* __version__ = "1.9.3" # <<<<<<<<<<<<<<
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6082
6083		/* "_proj.pyx":56
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6084	6186	* int PyObject_AsWriteBuffer(object, void *rbuf, Py_ssize_t len)
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6088	6189	* bytestr = _strencode(datapath)
6089		*/
6090		__pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_5_proj_1set_datapath, NULL, __pyx_n_s___proj); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6190	* cdef const char *searchpath = bytestr
	6191	*/
	6192	__pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_5_proj_1set_datapath, NULL, __pyx_n_s___proj); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 58; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
6091	6193	__Pyx_GOTREF(__pyx_t_1);
6092		if (PyObject_SetAttr(__pyx_m, __pyx_n_s__set_datapath, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 56; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6194	if (PyDict_SetItem(__pyx_d, __pyx_n_s__set_datapath, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 58; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
6093	6195	__Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
6094	6196
6095		/* "_proj.pyx":92
	6197	/* "_proj.pyx":63
	6198	* pj_set_searchpath(1, &searchpath)
	6199	*
	6200	* def _createproj(projstring): # <<<<<<<<<<<<<<
	6201	* return Proj(projstring)
	6202	*
	6203	*/
	6204	__pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_5_proj_3_createproj, NULL, __pyx_n_s___proj); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 63; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6205	__Pyx_GOTREF(__pyx_t_1);
	6206	if (PyDict_SetItem(__pyx_d, __pyx_n_s___createproj, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 63; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6207	__Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
	6208
	6209	/* "_proj.pyx":105
6096	6210	* return (self.__class__,(self.srs,))
6097	6211	*
6098	6212	* def _fwd(self, object lons, object lats, radians=False, errcheck=False): # <<<<<<<<<<<<<<
6099	6213	* """
6100	6214	* forward transformation - lons,lats to x,y (done in place).
6101	6215	*/
6102		__pyx_t_1 = __Pyx_PyBool_FromLong(0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 92; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6216	__pyx_t_1 = __Pyx_PyBool_FromLong(0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 105; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
6103	6217	__Pyx_GOTREF(__pyx_t_1);
6104	6218	__pyx_k_1 = __pyx_t_1;
6105	6219	__Pyx_GIVEREF(__pyx_t_1);
6106	6220	__pyx_t_1 = 0;
6107		__pyx_t_1 = __Pyx_PyBool_FromLong(0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 92; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6221	__pyx_t_1 = __Pyx_PyBool_FromLong(0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 105; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
6108	6222	__Pyx_GOTREF(__pyx_t_1);
6109	6223	__pyx_k_2 = __pyx_t_1;
6110	6224	__Pyx_GIVEREF(__pyx_t_1);
6111	6225	__pyx_t_1 = 0;
6112	6226
6113		/* "_proj.pyx":153
	6227	/* "_proj.pyx":166
6114	6228	* latsdata[i] = projxyout.v
6115	6229	*
6116	6230	* def _inv(self, object x, object y, radians=False, errcheck=False): # <<<<<<<<<<<<<<
6117	6231	* """
6118	6232	* inverse transformation - x,y to lons,lats (done in place).
6119	6233	*/
6120		__pyx_t_1 = __Pyx_PyBool_FromLong(0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 153; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6234	__pyx_t_1 = __Pyx_PyBool_FromLong(0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 166; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
6121	6235	__Pyx_GOTREF(__pyx_t_1);
6122	6236	__pyx_k_9 = __pyx_t_1;
6123	6237	__Pyx_GIVEREF(__pyx_t_1);
6124	6238	__pyx_t_1 = 0;
6125		__pyx_t_1 = __Pyx_PyBool_FromLong(0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 153; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6239	__pyx_t_1 = __Pyx_PyBool_FromLong(0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 166; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
6126	6240	__Pyx_GOTREF(__pyx_t_1);
6127	6241	__pyx_k_10 = __pyx_t_1;
6128	6242	__Pyx_GIVEREF(__pyx_t_1);
6129	6243	__pyx_t_1 = 0;
6130	6244
6131		/* "_proj.pyx":309
	6245	/* "_proj.pyx":322
6132	6246	* return False
6133	6247	*
6134	6248	* def _transform(Proj p1, Proj p2, inx, iny, inz, radians): # <<<<<<<<<<<<<<
6135	6249	* # private function to call pj_transform
6136	6250	* cdef void xdata, ydata, *zdata
6137	6251	*/
6138		__pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_5_proj_3_transform, NULL, __pyx_n_s___proj); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 309; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6252	__pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_5_proj_5_transform, NULL, __pyx_n_s___proj); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 322; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
6139	6253	__Pyx_GOTREF(__pyx_t_1);
6140		if (PyObject_SetAttr(__pyx_m, __pyx_n_s___transform, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 309; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6254	if (PyDict_SetItem(__pyx_d, __pyx_n_s___transform, __pyx_t_1) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 322; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
6141	6255	__Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
6142	6256
6143		/* "_proj.pyx":365
	6257	/* "_proj.pyx":378
6144	6258	* return (self.__class__,(self.initstring,))
6145	6259	*
6146	6260	* def _fwd(self, object lons, object lats, object az, object dist, radians=False): # <<<<<<<<<<<<<<
6147	6261	* """
6148	6262	* forward transformation - determine longitude, latitude and back azimuth
6149	6263	*/
6150		__pyx_t_1 = __Pyx_PyBool_FromLong(0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 365; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6264	__pyx_t_1 = __Pyx_PyBool_FromLong(0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 378; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
6151	6265	__Pyx_GOTREF(__pyx_t_1);
6152	6266	__pyx_k_18 = __pyx_t_1;
6153	6267	__Pyx_GIVEREF(__pyx_t_1);
6154	6268	__pyx_t_1 = 0;
6155	6269
6156		/* "_proj.pyx":424
	6270	/* "_proj.pyx":437
6157	6271	* azdata[i] = _rad2dg*pazi2
6158	6272	*
6159	6273	* def _inv(self, object lons1, object lats1, object lons2, object lats2, radians=False): # <<<<<<<<<<<<<<
6160	6274	* """
6161	6275	* inverse transformation - return forward and back azimuths, plus distance
6162	6276	*/
6163		__pyx_t_1 = __Pyx_PyBool_FromLong(0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 424; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6277	__pyx_t_1 = __Pyx_PyBool_FromLong(0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 437; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
6164	6278	__Pyx_GOTREF(__pyx_t_1);
6165	6279	__pyx_k_22 = __pyx_t_1;
6166	6280	__Pyx_GIVEREF(__pyx_t_1);
6167	6281	__pyx_t_1 = 0;
6168	6282
6169		/* "_proj.pyx":481
	6283	/* "_proj.pyx":494
6170	6284	* azdata[i] = ps12
6171	6285	*
6172	6286	* def _npts(self, double lon1, double lat1, double lon2, double lat2, int npts, radians=False): # <<<<<<<<<<<<<<
6173	6287	* """
6174	6288	* given initial and terminus lat/lon, find npts intermediate points."""
6175	6289	*/
6176		__pyx_t_1 = __Pyx_PyBool_FromLong(0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 481; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6290	__pyx_t_1 = __Pyx_PyBool_FromLong(0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 494; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
6177	6291	__Pyx_GOTREF(__pyx_t_1);
6178	6292	__pyx_k_25 = __pyx_t_1;
6179	6293	__Pyx_GIVEREF(__pyx_t_1);

6186	6300	*/
6187	6301	__pyx_t_1 = PyDict_New(); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
6188	6302	__Pyx_GOTREF(((PyObject *)__pyx_t_1));
6189		if (PyObject_SetAttr(__pyx_m, __pyx_n_s____test__, ((PyObject *)__pyx_t_1)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
	6303	if (PyDict_SetItem(__pyx_d, __pyx_n_s____test__, ((PyObject *)__pyx_t_1)) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 1; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
6190	6304	__Pyx_DECREF(((PyObject *)__pyx_t_1)); __pyx_t_1 = 0;
6191	6305	goto __pyx_L0;
6192	6306	__pyx_L1_error:;

6225	6339	}
6226	6340	#endif /* CYTHON_REFNANNY */
6227	6341
6228		static PyObject __Pyx_GetName(PyObject dict, PyObject *name) {
6229		PyObject *result;
6230		result = PyObject_GetAttr(dict, name);
6231		if (!result) {
6232		if (dict != __pyx_b) {
6233		PyErr_Clear();
6234		result = PyObject_GetAttr(__pyx_b, name);
6235		}
6236		if (!result) {
6237		PyErr_SetObject(PyExc_NameError, name);
6238		}
	6342	static PyObject __Pyx_GetBuiltinName(PyObject name) {
	6343	PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
	6344	if (unlikely(!result)) {
	6345	PyErr_Format(PyExc_NameError,
	6346	#if PY_MAJOR_VERSION >= 3
	6347	"name '%U' is not defined", name);
	6348	#else
	6349	"name '%s' is not defined", PyString_AS_STRING(name));
	6350	#endif
6239	6351	}
6240	6352	return result;
6241	6353	}

6448	6560	}
6449	6561	value = type;
6450	6562	#if PY_VERSION_HEX < 0x02050000
6451		if (PyInstance_Check(type)) {
6452		type = (PyObject) ((PyInstanceObject)type)->in_class;
6453		Py_INCREF(type);
6454		}
6455		else {
6456		type = 0;
6457		PyErr_SetString(PyExc_TypeError,
6458		"raise: exception must be an old-style class or instance");
6459		goto raise_error;
6460		}
	6563	if (PyInstance_Check(type)) {
	6564	type = (PyObject) ((PyInstanceObject)type)->in_class;
	6565	Py_INCREF(type);
	6566	} else {
	6567	type = 0;
	6568	PyErr_SetString(PyExc_TypeError,
	6569	"raise: exception must be an old-style class or instance");
	6570	goto raise_error;
	6571	}
6461	6572	#else
6462		type = (PyObject*) Py_TYPE(type);
6463		Py_INCREF(type);
6464		if (!PyType_IsSubtype((PyTypeObject )type, (PyTypeObject )PyExc_BaseException)) {
6465		PyErr_SetString(PyExc_TypeError,
6466		"raise: exception class must be a subclass of BaseException");
6467		goto raise_error;
6468		}
	6573	type = (PyObject*) Py_TYPE(type);
	6574	Py_INCREF(type);
	6575	if (!PyType_IsSubtype((PyTypeObject )type, (PyTypeObject )PyExc_BaseException)) {
	6576	PyErr_SetString(PyExc_TypeError,
	6577	"raise: exception class must be a subclass of BaseException");
	6578	goto raise_error;
	6579	}
6469	6580	#endif
6470	6581	}
6471	6582	__Pyx_ErrRestore(type, value, tb);

6503	6614	else if (PyTuple_Check(value)) {
6504	6615	Py_INCREF(value);
6505	6616	args = value;
6506		}
6507		else
	6617	} else
6508	6618	args = PyTuple_Pack(1, value);
6509	6619	if (!args)
6510	6620	goto bad;

6525	6635	"raise: exception class must be a subclass of BaseException");
6526	6636	goto bad;
6527	6637	}
	6638	#if PY_VERSION_HEX >= 0x03030000
	6639	if (cause) {
	6640	#else
6528	6641	if (cause && cause != Py_None) {
	6642	#endif
6529	6643	PyObject *fixed_cause;
6530		if (PyExceptionClass_Check(cause)) {
	6644	if (cause == Py_None) {
	6645	fixed_cause = NULL;
	6646	} else if (PyExceptionClass_Check(cause)) {
6531	6647	fixed_cause = PyObject_CallObject(cause, NULL);
6532	6648	if (fixed_cause == NULL)
6533	6649	goto bad;
6534		}
6535		else if (PyExceptionInstance_Check(cause)) {
	6650	} else if (PyExceptionInstance_Check(cause)) {
6536	6651	fixed_cause = cause;
6537	6652	Py_INCREF(fixed_cause);
6538		}
6539		else {
	6653	} else {
6540	6654	PyErr_SetString(PyExc_TypeError,
6541	6655	"exception causes must derive from "
6542	6656	"BaseException");

6559	6673	return;
6560	6674	}
6561	6675	#endif
	6676
	6677	static CYTHON_INLINE PyObject __Pyx_GetModuleGlobalName(PyObject name) {
	6678	PyObject *result;
	6679	#if CYTHON_COMPILING_IN_CPYTHON
	6680	result = PyDict_GetItem(__pyx_d, name);
	6681	if (result) {
	6682	Py_INCREF(result);
	6683	} else {
	6684	#else
	6685	result = PyObject_GetItem(__pyx_d, name);
	6686	if (!result) {
	6687	PyErr_Clear();
	6688	#endif
	6689	result = __Pyx_GetBuiltinName(name);
	6690	}
	6691	return result;
	6692	}
6562	6693
6563	6694	static int __Pyx_ArgTypeTest(PyObject obj, PyTypeObject type, int none_allowed,
6564	6695	const char *name, int exact)

6675	6806	#endif
6676	6807	}
6677	6808
6678		static PyObject __Pyx_Import(PyObject name, PyObject *from_list, long level) {
6679		PyObject *py_import = 0;
	6809	static PyObject __Pyx_Import(PyObject name, PyObject *from_list, int level) {
6680	6810	PyObject *empty_list = 0;
6681	6811	PyObject *module = 0;
6682	6812	PyObject *global_dict = 0;
6683	6813	PyObject *empty_dict = 0;
6684	6814	PyObject *list;
6685		py_import = __Pyx_GetAttrString(__pyx_b, "__import__");
	6815	#if PY_VERSION_HEX < 0x03030000
	6816	PyObject *py_import;
	6817	py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s____import__);
6686	6818	if (!py_import)
6687	6819	goto bad;
	6820	#endif
6688	6821	if (from_list)
6689	6822	list = from_list;
6690	6823	else {

6704	6837	#if PY_MAJOR_VERSION >= 3
6705	6838	if (level == -1) {
6706	6839	if (strchr(__Pyx_MODULE_NAME, '.')) {
6707		/* try package relative import first */
	6840	#if PY_VERSION_HEX < 0x03030000
6708	6841	PyObject *py_level = PyInt_FromLong(1);
6709	6842	if (!py_level)
6710	6843	goto bad;
6711	6844	module = PyObject_CallFunctionObjArgs(py_import,
6712	6845	name, global_dict, empty_dict, list, py_level, NULL);
6713	6846	Py_DECREF(py_level);
	6847	#else
	6848	module = PyImport_ImportModuleLevelObject(
	6849	name, global_dict, empty_dict, list, 1);
	6850	#endif
6714	6851	if (!module) {
6715	6852	if (!PyErr_ExceptionMatches(PyExc_ImportError))
6716	6853	goto bad;

6721	6858	}
6722	6859	#endif
6723	6860	if (!module) {
	6861	#if PY_VERSION_HEX < 0x03030000
6724	6862	PyObject *py_level = PyInt_FromLong(level);
6725	6863	if (!py_level)
6726	6864	goto bad;
6727	6865	module = PyObject_CallFunctionObjArgs(py_import,
6728	6866	name, global_dict, empty_dict, list, py_level, NULL);
6729	6867	Py_DECREF(py_level);
	6868	#else
	6869	module = PyImport_ImportModuleLevelObject(
	6870	name, global_dict, empty_dict, list, level);
	6871	#endif
6730	6872	}
6731	6873	}
6732	6874	#else

6738	6880	name, global_dict, empty_dict, list, NULL);
6739	6881	#endif
6740	6882	bad:
	6883	#if PY_VERSION_HEX < 0x03030000
	6884	Py_XDECREF(py_import);
	6885	#endif
6741	6886	Py_XDECREF(empty_list);
6742		Py_XDECREF(py_import);
6743	6887	Py_XDECREF(empty_dict);
6744	6888	return module;
6745	6889	}

6934	7078	return (int)__Pyx_PyInt_AsLong(x);
6935	7079	}
6936	7080
	7081	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7082	#if CYTHON_USE_PYLONG_INTERNALS
	7083	#include "longintrepr.h"
	7084	#endif
	7085	#endif
6937	7086	static CYTHON_INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject* x) {
6938	7087	const unsigned long neg_one = (unsigned long)-1, const_zero = 0;
6939	7088	const int is_unsigned = neg_one > const_zero;
6940		#if PY_VERSION_HEX < 0x03000000
	7089	#if PY_MAJOR_VERSION < 3
6941	7090	if (likely(PyInt_Check(x))) {
6942	7091	long val = PyInt_AS_LONG(x);
6943	7092	if (is_unsigned && unlikely(val < 0)) {

6950	7099	#endif
6951	7100	if (likely(PyLong_Check(x))) {
6952	7101	if (is_unsigned) {
	7102	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7103	#if CYTHON_USE_PYLONG_INTERNALS
	7104	if (sizeof(digit) <= sizeof(unsigned long)) {
	7105	switch (Py_SIZE(x)) {
	7106	case 0: return 0;
	7107	case 1: return (unsigned long) ((PyLongObject*)x)->ob_digit[0];
	7108	}
	7109	}
	7110	#endif
	7111	#endif
6953	7112	if (unlikely(Py_SIZE(x) < 0)) {
6954	7113	PyErr_SetString(PyExc_OverflowError,
6955	7114	"can't convert negative value to unsigned long");

6957	7116	}
6958	7117	return (unsigned long)PyLong_AsUnsignedLong(x);
6959	7118	} else {
	7119	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7120	#if CYTHON_USE_PYLONG_INTERNALS
	7121	if (sizeof(digit) <= sizeof(unsigned long)) {
	7122	switch (Py_SIZE(x)) {
	7123	case 0: return 0;
	7124	case 1: return +(unsigned long) ((PyLongObject*)x)->ob_digit[0];
	7125	case -1: return -(unsigned long) ((PyLongObject*)x)->ob_digit[0];
	7126	}
	7127	}
	7128	#endif
	7129	#endif
6960	7130	return (unsigned long)PyLong_AsLong(x);
6961	7131	}
6962	7132	} else {

6969	7139	}
6970	7140	}
6971	7141
	7142	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7143	#if CYTHON_USE_PYLONG_INTERNALS
	7144	#include "longintrepr.h"
	7145	#endif
	7146	#endif
6972	7147	static CYTHON_INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject* x) {
6973	7148	const unsigned PY_LONG_LONG neg_one = (unsigned PY_LONG_LONG)-1, const_zero = 0;
6974	7149	const int is_unsigned = neg_one > const_zero;
6975		#if PY_VERSION_HEX < 0x03000000
	7150	#if PY_MAJOR_VERSION < 3
6976	7151	if (likely(PyInt_Check(x))) {
6977	7152	long val = PyInt_AS_LONG(x);
6978	7153	if (is_unsigned && unlikely(val < 0)) {

6985	7160	#endif
6986	7161	if (likely(PyLong_Check(x))) {
6987	7162	if (is_unsigned) {
	7163	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7164	#if CYTHON_USE_PYLONG_INTERNALS
	7165	if (sizeof(digit) <= sizeof(unsigned PY_LONG_LONG)) {
	7166	switch (Py_SIZE(x)) {
	7167	case 0: return 0;
	7168	case 1: return (unsigned PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
	7169	}
	7170	}
	7171	#endif
	7172	#endif
6988	7173	if (unlikely(Py_SIZE(x) < 0)) {
6989	7174	PyErr_SetString(PyExc_OverflowError,
6990	7175	"can't convert negative value to unsigned PY_LONG_LONG");

6992	7177	}
6993	7178	return (unsigned PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
6994	7179	} else {
	7180	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7181	#if CYTHON_USE_PYLONG_INTERNALS
	7182	if (sizeof(digit) <= sizeof(unsigned PY_LONG_LONG)) {
	7183	switch (Py_SIZE(x)) {
	7184	case 0: return 0;
	7185	case 1: return +(unsigned PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
	7186	case -1: return -(unsigned PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
	7187	}
	7188	}
	7189	#endif
	7190	#endif
6995	7191	return (unsigned PY_LONG_LONG)PyLong_AsLongLong(x);
6996	7192	}
6997	7193	} else {

7004	7200	}
7005	7201	}
7006	7202
	7203	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7204	#if CYTHON_USE_PYLONG_INTERNALS
	7205	#include "longintrepr.h"
	7206	#endif
	7207	#endif
7007	7208	static CYTHON_INLINE long __Pyx_PyInt_AsLong(PyObject* x) {
7008	7209	const long neg_one = (long)-1, const_zero = 0;
7009	7210	const int is_unsigned = neg_one > const_zero;
7010		#if PY_VERSION_HEX < 0x03000000
	7211	#if PY_MAJOR_VERSION < 3
7011	7212	if (likely(PyInt_Check(x))) {
7012	7213	long val = PyInt_AS_LONG(x);
7013	7214	if (is_unsigned && unlikely(val < 0)) {

7020	7221	#endif
7021	7222	if (likely(PyLong_Check(x))) {
7022	7223	if (is_unsigned) {
	7224	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7225	#if CYTHON_USE_PYLONG_INTERNALS
	7226	if (sizeof(digit) <= sizeof(long)) {
	7227	switch (Py_SIZE(x)) {
	7228	case 0: return 0;
	7229	case 1: return (long) ((PyLongObject*)x)->ob_digit[0];
	7230	}
	7231	}
	7232	#endif
	7233	#endif
7023	7234	if (unlikely(Py_SIZE(x) < 0)) {
7024	7235	PyErr_SetString(PyExc_OverflowError,
7025	7236	"can't convert negative value to long");

7027	7238	}
7028	7239	return (long)PyLong_AsUnsignedLong(x);
7029	7240	} else {
	7241	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7242	#if CYTHON_USE_PYLONG_INTERNALS
	7243	if (sizeof(digit) <= sizeof(long)) {
	7244	switch (Py_SIZE(x)) {
	7245	case 0: return 0;
	7246	case 1: return +(long) ((PyLongObject*)x)->ob_digit[0];
	7247	case -1: return -(long) ((PyLongObject*)x)->ob_digit[0];
	7248	}
	7249	}
	7250	#endif
	7251	#endif
7030	7252	return (long)PyLong_AsLong(x);
7031	7253	}
7032	7254	} else {

7039	7261	}
7040	7262	}
7041	7263
	7264	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7265	#if CYTHON_USE_PYLONG_INTERNALS
	7266	#include "longintrepr.h"
	7267	#endif
	7268	#endif
7042	7269	static CYTHON_INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject* x) {
7043	7270	const PY_LONG_LONG neg_one = (PY_LONG_LONG)-1, const_zero = 0;
7044	7271	const int is_unsigned = neg_one > const_zero;
7045		#if PY_VERSION_HEX < 0x03000000
	7272	#if PY_MAJOR_VERSION < 3
7046	7273	if (likely(PyInt_Check(x))) {
7047	7274	long val = PyInt_AS_LONG(x);
7048	7275	if (is_unsigned && unlikely(val < 0)) {

7055	7282	#endif
7056	7283	if (likely(PyLong_Check(x))) {
7057	7284	if (is_unsigned) {
	7285	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7286	#if CYTHON_USE_PYLONG_INTERNALS
	7287	if (sizeof(digit) <= sizeof(PY_LONG_LONG)) {
	7288	switch (Py_SIZE(x)) {
	7289	case 0: return 0;
	7290	case 1: return (PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
	7291	}
	7292	}
	7293	#endif
	7294	#endif
7058	7295	if (unlikely(Py_SIZE(x) < 0)) {
7059	7296	PyErr_SetString(PyExc_OverflowError,
7060	7297	"can't convert negative value to PY_LONG_LONG");

7062	7299	}
7063	7300	return (PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
7064	7301	} else {
	7302	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7303	#if CYTHON_USE_PYLONG_INTERNALS
	7304	if (sizeof(digit) <= sizeof(PY_LONG_LONG)) {
	7305	switch (Py_SIZE(x)) {
	7306	case 0: return 0;
	7307	case 1: return +(PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
	7308	case -1: return -(PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
	7309	}
	7310	}
	7311	#endif
	7312	#endif
7065	7313	return (PY_LONG_LONG)PyLong_AsLongLong(x);
7066	7314	}
7067	7315	} else {

7074	7322	}
7075	7323	}
7076	7324
	7325	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7326	#if CYTHON_USE_PYLONG_INTERNALS
	7327	#include "longintrepr.h"
	7328	#endif
	7329	#endif
7077	7330	static CYTHON_INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject* x) {
7078	7331	const signed long neg_one = (signed long)-1, const_zero = 0;
7079	7332	const int is_unsigned = neg_one > const_zero;
7080		#if PY_VERSION_HEX < 0x03000000
	7333	#if PY_MAJOR_VERSION < 3
7081	7334	if (likely(PyInt_Check(x))) {
7082	7335	long val = PyInt_AS_LONG(x);
7083	7336	if (is_unsigned && unlikely(val < 0)) {

7090	7343	#endif
7091	7344	if (likely(PyLong_Check(x))) {
7092	7345	if (is_unsigned) {
	7346	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7347	#if CYTHON_USE_PYLONG_INTERNALS
	7348	if (sizeof(digit) <= sizeof(signed long)) {
	7349	switch (Py_SIZE(x)) {
	7350	case 0: return 0;
	7351	case 1: return (signed long) ((PyLongObject*)x)->ob_digit[0];
	7352	}
	7353	}
	7354	#endif
	7355	#endif
7093	7356	if (unlikely(Py_SIZE(x) < 0)) {
7094	7357	PyErr_SetString(PyExc_OverflowError,
7095	7358	"can't convert negative value to signed long");

7097	7360	}
7098	7361	return (signed long)PyLong_AsUnsignedLong(x);
7099	7362	} else {
	7363	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7364	#if CYTHON_USE_PYLONG_INTERNALS
	7365	if (sizeof(digit) <= sizeof(signed long)) {
	7366	switch (Py_SIZE(x)) {
	7367	case 0: return 0;
	7368	case 1: return +(signed long) ((PyLongObject*)x)->ob_digit[0];
	7369	case -1: return -(signed long) ((PyLongObject*)x)->ob_digit[0];
	7370	}
	7371	}
	7372	#endif
	7373	#endif
7100	7374	return (signed long)PyLong_AsLong(x);
7101	7375	}
7102	7376	} else {

7109	7383	}
7110	7384	}
7111	7385
	7386	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7387	#if CYTHON_USE_PYLONG_INTERNALS
	7388	#include "longintrepr.h"
	7389	#endif
	7390	#endif
7112	7391	static CYTHON_INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject* x) {
7113	7392	const signed PY_LONG_LONG neg_one = (signed PY_LONG_LONG)-1, const_zero = 0;
7114	7393	const int is_unsigned = neg_one > const_zero;
7115		#if PY_VERSION_HEX < 0x03000000
	7394	#if PY_MAJOR_VERSION < 3
7116	7395	if (likely(PyInt_Check(x))) {
7117	7396	long val = PyInt_AS_LONG(x);
7118	7397	if (is_unsigned && unlikely(val < 0)) {

7125	7404	#endif
7126	7405	if (likely(PyLong_Check(x))) {
7127	7406	if (is_unsigned) {
	7407	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7408	#if CYTHON_USE_PYLONG_INTERNALS
	7409	if (sizeof(digit) <= sizeof(signed PY_LONG_LONG)) {
	7410	switch (Py_SIZE(x)) {
	7411	case 0: return 0;
	7412	case 1: return (signed PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
	7413	}
	7414	}
	7415	#endif
	7416	#endif
7128	7417	if (unlikely(Py_SIZE(x) < 0)) {
7129	7418	PyErr_SetString(PyExc_OverflowError,
7130	7419	"can't convert negative value to signed PY_LONG_LONG");

7132	7421	}
7133	7422	return (signed PY_LONG_LONG)PyLong_AsUnsignedLongLong(x);
7134	7423	} else {
	7424	#if CYTHON_COMPILING_IN_CPYTHON && PY_MAJOR_VERSION >= 3
	7425	#if CYTHON_USE_PYLONG_INTERNALS
	7426	if (sizeof(digit) <= sizeof(signed PY_LONG_LONG)) {
	7427	switch (Py_SIZE(x)) {
	7428	case 0: return 0;
	7429	case 1: return +(signed PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
	7430	case -1: return -(signed PY_LONG_LONG) ((PyLongObject*)x)->ob_digit[0];
	7431	}
	7432	}
	7433	#endif
	7434	#endif
7135	7435	return (signed PY_LONG_LONG)PyLong_AsLongLong(x);
7136	7436	}
7137	7437	} else {

7355	7655	return 0;
7356	7656	}
7357	7657
7358
7359		/* Type Conversion Functions */
7360
	7658	static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(char* c_str) {
	7659	return __Pyx_PyUnicode_FromStringAndSize(c_str, strlen(c_str));
	7660	}
	7661	static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) {
	7662	Py_ssize_t ignore;
	7663	return __Pyx_PyObject_AsStringAndSize(o, &ignore);
	7664	}
	7665	static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
	7666	#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII \|\| __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
	7667	if (
	7668	#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
	7669	__Pyx_sys_getdefaultencoding_not_ascii &&
	7670	#endif
	7671	PyUnicode_Check(o)) {
	7672	#if PY_VERSION_HEX < 0x03030000
	7673	char* defenc_c;
	7674	PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
	7675	if (!defenc) return NULL;
	7676	defenc_c = PyBytes_AS_STRING(defenc);
	7677	#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
	7678	{
	7679	char* end = defenc_c + PyBytes_GET_SIZE(defenc);
	7680	char* c;
	7681	for (c = defenc_c; c < end; c++) {
	7682	if ((unsigned char) (*c) >= 128) {
	7683	PyUnicode_AsASCIIString(o);
	7684	return NULL;
	7685	}
	7686	}
	7687	}
	7688	#endif /__PYX_DEFAULT_STRING_ENCODING_IS_ASCII/
	7689	*length = PyBytes_GET_SIZE(defenc);
	7690	return defenc_c;
	7691	#else /* PY_VERSION_HEX < 0x03030000 */
	7692	if (PyUnicode_READY(o) == -1) return NULL;
	7693	#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
	7694	if (PyUnicode_IS_ASCII(o)) {
	7695	*length = PyUnicode_GET_DATA_SIZE(o);
	7696	return PyUnicode_AsUTF8(o);
	7697	} else {
	7698	PyUnicode_AsASCIIString(o);
	7699	return NULL;
	7700	}
	7701	#else /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII */
	7702	return PyUnicode_AsUTF8AndSize(o, length);
	7703	#endif /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII */
	7704	#endif /* PY_VERSION_HEX < 0x03030000 */
	7705	} else
	7706	#endif /* __PYX_DEFAULT_STRING_ENCODING_IS_ASCII \|\| __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT */
	7707	{
	7708	char* result;
	7709	int r = PyBytes_AsStringAndSize(o, &result, length);
	7710	if (r < 0) {
	7711	return NULL;
	7712	} else {
	7713	return result;
	7714	}
	7715	}
	7716	}
7361	7717	static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
7362	7718	int is_true = x == Py_True;
7363	7719	if (is_true \| (x == Py_False) \| (x == Py_None)) return is_true;
7364	7720	else return PyObject_IsTrue(x);
7365	7721	}
7366
7367	7722	static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) {
7368	7723	PyNumberMethods *m;
7369	7724	const char *name = NULL;
7370	7725	PyObject *res = NULL;
7371		#if PY_VERSION_HEX < 0x03000000
	7726	#if PY_MAJOR_VERSION < 3
7372	7727	if (PyInt_Check(x) \|\| PyLong_Check(x))
7373	7728	#else
7374	7729	if (PyLong_Check(x))
7375	7730	#endif
7376	7731	return Py_INCREF(x), x;
7377	7732	m = Py_TYPE(x)->tp_as_number;
7378		#if PY_VERSION_HEX < 0x03000000
	7733	#if PY_MAJOR_VERSION < 3
7379	7734	if (m && m->nb_int) {
7380	7735	name = "int";
7381	7736	res = PyNumber_Int(x);

7391	7746	}
7392	7747	#endif
7393	7748	if (res) {
7394		#if PY_VERSION_HEX < 0x03000000
	7749	#if PY_MAJOR_VERSION < 3
7395	7750	if (!PyInt_Check(res) && !PyLong_Check(res)) {
7396	7751	#else
7397	7752	if (!PyLong_Check(res)) {

7409	7764	}
7410	7765	return res;
7411	7766	}
7412
7413	7767	static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
7414	7768	Py_ssize_t ival;
7415	7769	PyObject* x = PyNumber_Index(b);

7418	7772	Py_DECREF(x);
7419	7773	return ival;
7420	7774	}
7421
7422	7775	static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
7423	7776	#if PY_VERSION_HEX < 0x02050000
7424	7777	if (ival <= LONG_MAX)

7432	7785	return PyInt_FromSize_t(ival);
7433	7786	#endif
7434	7787	}
7435
7436	7788	static CYTHON_INLINE size_t __Pyx_PyInt_AsSize_t(PyObject* x) {
7437	7789	unsigned PY_LONG_LONG val = __Pyx_PyInt_AsUnsignedLongLong(x);
7438		if (unlikely(val == (unsigned PY_LONG_LONG)-1 && PyErr_Occurred())) {
7439		return (size_t)-1;
7440		} else if (unlikely(val != (unsigned PY_LONG_LONG)(size_t)val)) {
7441		PyErr_SetString(PyExc_OverflowError,
7442		"value too large to convert to size_t");
	7790	if (unlikely(val != (unsigned PY_LONG_LONG)(size_t)val)) {
	7791	if ((val != (unsigned PY_LONG_LONG)-1) \|\| !PyErr_Occurred())
	7792	PyErr_SetString(PyExc_OverflowError,
	7793	"value too large to convert to size_t");
7443	7794	return (size_t)-1;
7444	7795	}
7445	7796	return (size_t)val;

+28

-15

_proj.pyx less more

7	7	_dg2rad = math.radians(1.)
8	8	_rad2dg = math.degrees(1.)
9	9	_doublesize = sizeof(double)
10		__version__ = "1.9.3"
	10	__version__ = "1.9.4"
11	11
12	12	cdef extern from "math.h":
13	13	cdef enum:

15	15	FP_NAN
16	16
17	17	cdef extern from "geodesic.h":
18		struct Geodesic:
	18	struct geod_geodesic:
19	19	pass
20		void GeodesicInit(Geodesic* g, double a, double f)
21		void Direct(Geodesic* g,\
	20	void geod_init(geod_geodesic* g, double a, double f)
	21	void geod_direct(geod_geodesic* g,\
22	22	double lat1, double lon1, double azi1, double s12,\
23	23	double* plat2, double* plon2, double* pazi2)
24		void Inverse(Geodesic* g,\
	24	void geod_inverse(geod_geodesic* g,\
25	25	double lat1, double lon1, double lat2, double lon2,\
26	26	double* ps12, double* pazi1, double* pazi2)
27	27

35	35	projPJ pj_init_plus_ctx(projCtx, char *)
36	36	projUV pj_fwd(projUV, projPJ)
37	37	projUV pj_inv(projUV, projPJ)
	38	projPJ pj_latlong_from_proj(projPJ)
38	39	int pj_transform(projPJ src, projPJ dst, long point_count, int point_offset,
39	40	double x, double y, double *z)
40	41	int pj_is_latlong(projPJ)
	42	char *pj_get_def( projPJ pj, int options)
41	43	int pj_is_geocent(projPJ)
42	44	char *pj_strerrno(int)
43	45	void pj_ctx_free( projCtx )

53	55	int PyObject_AsWriteBuffer(object, void *rbuf, Py_ssize_t len)
54	56
55	57	def set_datapath(datapath):
56		cdef char *searchpath
57	58	bytestr = _strencode(datapath)
58		searchpath = bytestr
	59	cdef const char *searchpath = bytestr
59	60	pj_set_searchpath(1, &searchpath)
	61
	62	def _createproj(projstring):
	63	return Proj(projstring)
60	64
61	65	cdef class Proj:
62	66	cdef projPJ projpj

83	87	"""destroy projection definition"""
84	88	pj_free(self.projpj)
85	89	pj_ctx_free(self.projctx)
	90
	91	def to_latlong(self):
	92	"""return a new Proj instance which is the geographic (lat/lon)
	93	coordinate version of the current projection"""
	94	cdef projPJ llpj
	95	llpj = pj_latlong_from_proj(self.projpj)
	96	initstring = pj_get_def(llpj, 0)
	97	pj_free(llpj)
	98	return _createproj(initstring)
86	99
87	100	def __reduce__(self):
88	101	"""special method that allows pyproj.Proj instance to be pickled"""

350	363	return pystr # already bytes?
351	364
352	365	cdef class Geod:
353		cdef Geodesic _Geodesic
	366	cdef geod_geodesic _geod_geodesic
354	367	cdef public object initstring
355	368
356	369	def __cinit__(self, a, f):
357	370	self.initstring = '+a=%s +f=%s' % (a, f)
358		GeodesicInit(&self._Geodesic, <double> a, <double> f)
	371	geod_init(&self._geod_geodesic, <double> a, <double> f)
359	372
360	373	def __reduce__(self):
361	374	"""special method that allows pyproj.Geod instance to be pickled"""

400	413	lat1 = _dg2rad*latsdata[i]
401	414	az1 = _dg2rad*azdata[i]
402	415	s12 = distdata[i]
403		Direct(&self._Geodesic, lat1, lon1, az1, s12,\
	416	geod_direct(&self._geod_geodesic, lat1, lon1, az1, s12,\
404	417	&plat2, &plon2, &pazi2)
405	418	# back azimuth needs to be flipped 180 degrees
406	419	# to match what proj4 geod utility produces.
407	420	if pazi2 > 0:
408	421	pazi2 = pazi2-180.
409		elif pazi2 < 0:
	422	elif pazi2 <= 0:
410	423	pazi2 = pazi2+180.
411	424	# check for NaN.
412	425	if pazi2 != pazi2:

459	472	lat1 = latsdata[i]
460	473	lon2 = azdata[i]
461	474	lat2 = distdata[i]
462		Inverse(&self._Geodesic, lat1, lon1, lat2, lon2,
	475	geod_inverse(&self._geod_geodesic, lat1, lon1, lat2, lon2,
463	476	&ps12, &pazi1, &pazi2)
464	477	# back azimuth needs to be flipped 180 degrees
465	478	# to match what proj4 geod utility produces.
466	479	if pazi2 > 0:
467	480	pazi2 = pazi2-180.
468		elif pazi2 < 0:
	481	elif pazi2 <= 0:
469	482	pazi2 = pazi2+180.
470	483	if ps12 != ps12: # check for NaN
471	484	raise ValueError('undefined inverse geodesic (may be an antipodal point)')

488	501	lon2 = _rad2dg*lon2
489	502	lat2 = _rad2dg*lat2
490	503	# do inverse computation to set azimuths, distance.
491		Inverse(&self._Geodesic, lat1, lon1, lat2, lon2,
	504	geod_inverse(&self._geod_geodesic, lat1, lon1, lat2, lon2,
492	505	&ps12, &pazi1, &pazi2)
493	506	# distance increment.
494	507	del_s = ps12/(npts+1)

498	511	# loop over intermediate points, compute lat/lons.
499	512	for i from 1 <= i < npts+1:
500	513	s12 = i*del_s
501		Direct(&self._Geodesic, lat1, lon1, pazi1, s12,\
	514	geod_direct(&self._geod_geodesic, lat1, lon1, pazi1, s12,\
502	515	&plat2, &plon2, &pazi2)
503	516	if radians:
504	517	lats = lats + (_dg2rad*plat2,)

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14	14	pyproj.Geod.inv pyproj.Geod-class.html#inv
15	15	pyproj.Geod.npts pyproj.Geod-class.html#npts
16	16	pyproj.Proj pyproj.Proj-class.html
	17	pyproj.Proj.__new__ pyproj.Proj-class.html#__new__
	18	pyproj.Proj.__call__ pyproj.Proj-class.html#__call__
	19	pyproj.Proj.to_latlong pyproj.Proj-class.html#to_latlong
17	20	pyproj.Proj.is_latlong pyproj.Proj-class.html#is_latlong
18		pyproj.Proj.__new__ pyproj.Proj-class.html#__new__
19	21	pyproj.Proj.is_geocent pyproj.Proj-class.html#is_geocent
20		pyproj.Proj.__call__ pyproj.Proj-class.html#__call__

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97	97	<table border="0" cellpadding="0" cellspacing="0" width="100%%">
98	98	<tr>
99	99	<td align="left" class="footer">
100		Generated by Epydoc 3.0.1 on Fri Jan 11 09:07:23 2013
	100	Generated by Epydoc 3.0.1 on Mon Dec 29 15:13:06 2014
101	101	</td>
102	102	<td align="right" class="footer">
103	103	<a target="mainFrame" href="http://epydoc.sourceforge.net"

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239	239	<table border="0" cellpadding="0" cellspacing="0" width="100%%">
240	240	<tr>
241	241	<td align="left" class="footer">
242		Generated by Epydoc 3.0.1 on Fri Jan 11 09:07:23 2013
	242	Generated by Epydoc 3.0.1 on Mon Dec 29 15:13:06 2014
243	243	</td>
244	244	<td align="right" class="footer">
245	245	<a target="mainFrame" href="http://epydoc.sourceforge.net"

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152	152	<tr>
153	153	<td width="33%" class="link-index"><a href="pyproj-module.html#test">test()</a><br />
154	154	<span class="index-where">(in <a href="pyproj-module.html">pyproj</a>)</span></td>
	155	<td width="33%" class="link-index"><a href="pyproj.Proj-class.html#to_latlong">to_latlong()</a><br />
	156	<span class="index-where">(in <a href="pyproj.Proj-class.html">Proj</a>)</span></td>
155	157	<td width="33%" class="link-index"><a href="pyproj-module.html#transform">transform()</a><br />
156	158	<span class="index-where">(in <a href="pyproj-module.html">pyproj</a>)</span></td>
157		<td width="33%" class="link-index"> </td>
158	159	</tr>
159	160	<tr><td class="link-index"> </td><td class="link-index"> </td><td class="link-index"> </td></tr>
160	161	</table>

205	206	<table border="0" cellpadding="0" cellspacing="0" width="100%%">
206	207	<tr>
207	208	<td align="left" class="footer">
208		Generated by Epydoc 3.0.1 on Fri Jan 11 09:07:23 2013
	209	Generated by Epydoc 3.0.1 on Mon Dec 29 15:13:06 2014
209	210	</td>
210	211	<td align="right" class="footer">
211	212	<a target="mainFrame" href="http://epydoc.sourceforge.net"

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66	66	<p>Input coordinates can be given as python arrays, lists/tuples, scalars
67	67	or numpy/Numeric/numarray arrays. Optimized for objects that support the
68	68	Python buffer protocol (regular python and numpy array objects).</p>
69		<p>Download: http://code.google.com/p/pyproj/downloads/list</p>
	69	<p>Download: http://python.org/pypi/pyproj</p>
70	70	<p>Requirements: python 2.4 or higher.</p>
71	71	<p>Example scripts are in 'test' subdirectory of source distribution. The
72	72	'test()' function will run the examples in the docstrings.</p>

86	86
87	87	<hr />
88	88	<div class="fields"> <p><strong>Version:</strong>
89		1.9.3
	89	1.9.4
90	90	</p>
91	91	</div><!-- ==================== CLASSES ==================== -->
92	92	<a name="section-Classes"></a>

213	213	<td width="15%" align="right" valign="top" class="summary">
214	214	<span class="summary-type"> </span>
215	215	</td><td class="summary">
216		<a href="pyproj-module.html#pyproj_datadir" class="summary-name">pyproj_datadir</a> = <code title="'/Users/jsw/Library/Python/2.7/lib/python/site-packages/pyproj/data'"><code class="variable-quote">'</code><code class="variable-string">/Users/jsw/Library/Python/2.7/lib/python/sit</code><code class="variable-ellipsis">...</code></code>
	216	<a href="pyproj-module.html#pyproj_datadir" class="summary-name">pyproj_datadir</a> = <code title="'/Users/jwhitaker/Library/Python/2.7/lib/python/site-packages/pyproj/d\
	217	ata'"><code class="variable-quote">'</code><code class="variable-string">/Users/jwhitaker/Library/Python/2.7/lib/pyth</code><code class="variable-ellipsis">...</code></code>
217	218	</td>
218	219	</tr>
219	220	</table>

384	385	<dl class="fields">
385	386	<dt>Value:</dt>
386	387	<dd><table><tr><td><pre class="variable">
387		<code class="variable-quote">'</code><code class="variable-string">/Users/jsw/Library/Python/2.7/lib/python/site-packages/pyproj/data</code><code class="variable-quote">'</code>
	388	<code class="variable-quote">'</code><code class="variable-string">/Users/jwhitaker/Library/Python/2.7/lib/python/site-packages/pyproj/d</code><span class="variable-linewrap"><img src="crarr.png" alt="\" /></span>
	389	<code class="variable-string">ata</code><code class="variable-quote">'</code>
388	390	</pre></td></tr></table>
389	391	</dd>
390	392	</dl>

417	419	<table border="0" cellpadding="0" cellspacing="0" width="100%%">
418	420	<tr>
419	421	<td align="left" class="footer">
420		Generated by Epydoc 3.0.1 on Fri Jan 11 09:07:23 2013
	422	Generated by Epydoc 3.0.1 on Mon Dec 29 15:13:06 2014
421	423	</td>
422	424	<td align="right" class="footer">
423	425	<a target="mainFrame" href="http://epydoc.sourceforge.net"

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77	77	<table border="0" cellpadding="0" cellspacing="0" width="100%%">
78	78	<tr>
79	79	<td align="left" class="footer">
80		Generated by Epydoc 3.0.1 on Fri Jan 11 09:07:23 2013
	80	Generated by Epydoc 3.0.1 on Mon Dec 29 15:13:06 2014
81	81	</td>
82	82	<td align="right" class="footer">
83	83	<a target="mainFrame" href="http://epydoc.sourceforge.net"

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66	66	<p>Input coordinates can be given as python arrays, lists/tuples, scalars
67	67	or numpy/Numeric/numarray arrays. Optimized for objects that support the
68	68	Python buffer protocol (regular python and numpy array objects).</p>
69		<p>Download: http://code.google.com/p/pyproj/downloads/list</p>
	69	<p>Download: http://python.org/pypi/pyproj</p>
70	70	<p>Requirements: python 2.4 or higher.</p>
71	71	<p>Example scripts are in 'test' subdirectory of source distribution. The
72	72	'test()' function will run the examples in the docstrings.</p>

86	86
87	87	<hr />
88	88	<div class="fields"> <p><strong>Version:</strong>
89		1.9.3
	89	1.9.4
90	90	</p>
91	91	</div><!-- ==================== CLASSES ==================== -->
92	92	<a name="section-Classes"></a>

213	213	<td width="15%" align="right" valign="top" class="summary">
214	214	<span class="summary-type"> </span>
215	215	</td><td class="summary">
216		<a href="pyproj-module.html#pyproj_datadir" class="summary-name">pyproj_datadir</a> = <code title="'/Users/jsw/Library/Python/2.7/lib/python/site-packages/pyproj/data'"><code class="variable-quote">'</code><code class="variable-string">/Users/jsw/Library/Python/2.7/lib/python/sit</code><code class="variable-ellipsis">...</code></code>
	216	<a href="pyproj-module.html#pyproj_datadir" class="summary-name">pyproj_datadir</a> = <code title="'/Users/jwhitaker/Library/Python/2.7/lib/python/site-packages/pyproj/d\
	217	ata'"><code class="variable-quote">'</code><code class="variable-string">/Users/jwhitaker/Library/Python/2.7/lib/pyth</code><code class="variable-ellipsis">...</code></code>
217	218	</td>
218	219	</tr>
219	220	</table>

384	385	<dl class="fields">
385	386	<dt>Value:</dt>
386	387	<dd><table><tr><td><pre class="variable">
387		<code class="variable-quote">'</code><code class="variable-string">/Users/jsw/Library/Python/2.7/lib/python/site-packages/pyproj/data</code><code class="variable-quote">'</code>
	388	<code class="variable-quote">'</code><code class="variable-string">/Users/jwhitaker/Library/Python/2.7/lib/python/site-packages/pyproj/d</code><span class="variable-linewrap"><img src="crarr.png" alt="\" /></span>
	389	<code class="variable-string">ata</code><code class="variable-quote">'</code>
388	390	</pre></td></tr></table>
389	391	</dd>
390	392	</dl>

417	419	<table border="0" cellpadding="0" cellspacing="0" width="100%%">
418	420	<tr>
419	421	<td align="left" class="footer">
420		Generated by Epydoc 3.0.1 on Fri Jan 11 09:07:23 2013
	422	Generated by Epydoc 3.0.1 on Mon Dec 29 15:13:06 2014
421	423	</td>
422	424	<td align="right" class="footer">
423	425	<a target="mainFrame" href="http://epydoc.sourceforge.net"

+475

-470

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73	73	<a name="L23"></a><tt class="py-lineno"> 23</tt> <tt class="py-line"><tt class="py-docstring">that support the Python buffer protocol (regular python and</tt> </tt>
74	74	<a name="L24"></a><tt class="py-lineno"> 24</tt> <tt class="py-line"><tt class="py-docstring">numpy array objects).</tt> </tt>
75	75	<a name="L25"></a><tt class="py-lineno"> 25</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
76		<a name="L26"></a><tt class="py-lineno"> 26</tt> <tt class="py-line"><tt class="py-docstring">Download: http://code.google.com/p/pyproj/downloads/list</tt> </tt>
	76	<a name="L26"></a><tt class="py-lineno"> 26</tt> <tt class="py-line"><tt class="py-docstring">Download: http://python.org/pypi/pyproj</tt> </tt>
77	77	<a name="L27"></a><tt class="py-lineno"> 27</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
78	78	<a name="L28"></a><tt class="py-lineno"> 28</tt> <tt class="py-line"><tt class="py-docstring">Requirements: python 2.4 or higher.</tt> </tt>
79	79	<a name="L29"></a><tt class="py-lineno"> 29</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>

442	442	<a name="L391"></a><tt class="py-lineno">391</tt> <tt class="py-line"> <tt class="py-name">outy</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">yisfloat</tt><tt class="py-op">,</tt><tt class="py-name">yislist</tt><tt class="py-op">,</tt><tt class="py-name">xistuple</tt><tt class="py-op">,</tt><tt class="py-name">iny</tt><tt class="py-op">)</tt> </tt>
443	443	<a name="L392"></a><tt class="py-lineno">392</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">outx</tt><tt class="py-op">,</tt> <tt class="py-name">outy</tt> </tt>
444	444	</div><a name="L393"></a><tt class="py-lineno">393</tt> <tt class="py-line"> </tt>
445		<a name="Proj.is_latlong"></a><div id="Proj.is_latlong-def"><a name="L394"></a><tt class="py-lineno">394</tt> <a class="py-toggle" href="#" id="Proj.is_latlong-toggle" onclick="return toggle('Proj.is_latlong');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj.Proj-class.html#is_latlong">is_latlong</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
446		</div><div id="Proj.is_latlong-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Proj.is_latlong-expanded"><a name="L395"></a><tt class="py-lineno">395</tt> <tt class="py-line"> <tt class="py-docstring">"""returns True if projection in geographic (lon/lat) coordinates"""</tt> </tt>
447		<a name="L396"></a><tt class="py-lineno">396</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt id="link-10" class="py-name"><a title="pyproj.Proj" class="py-name" href="#" onclick="return doclink('link-10', 'Proj', 'link-6');">Proj</a></tt><tt class="py-op">.</tt><tt id="link-11" class="py-name" targets="Method pyproj.Proj.is_latlong()=pyproj.Proj-class.html#is_latlong"><a title="pyproj.Proj.is_latlong" class="py-name" href="#" onclick="return doclink('link-11', 'is_latlong', 'link-11');">is_latlong</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">)</tt> </tt>
448		</div><a name="L397"></a><tt class="py-lineno">397</tt> <tt class="py-line"> </tt>
449		<a name="Proj.is_geocent"></a><div id="Proj.is_geocent-def"><a name="L398"></a><tt class="py-lineno">398</tt> <a class="py-toggle" href="#" id="Proj.is_geocent-toggle" onclick="return toggle('Proj.is_geocent');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj.Proj-class.html#is_geocent">is_geocent</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
450		</div><div id="Proj.is_geocent-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Proj.is_geocent-expanded"><a name="L399"></a><tt class="py-lineno">399</tt> <tt class="py-line"> <tt class="py-docstring">"""returns True if projection in geocentric (x/y) coordinates"""</tt> </tt>
451		<a name="L400"></a><tt class="py-lineno">400</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt id="link-12" class="py-name"><a title="pyproj.Proj" class="py-name" href="#" onclick="return doclink('link-12', 'Proj', 'link-6');">Proj</a></tt><tt class="py-op">.</tt><tt id="link-13" class="py-name" targets="Method pyproj.Proj.is_geocent()=pyproj.Proj-class.html#is_geocent"><a title="pyproj.Proj.is_geocent" class="py-name" href="#" onclick="return doclink('link-13', 'is_geocent', 'link-13');">is_geocent</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">)</tt> </tt>
452		</div></div><a name="L401"></a><tt class="py-lineno">401</tt> <tt class="py-line"> </tt>
453		<a name="transform"></a><div id="transform-def"><a name="L402"></a><tt class="py-lineno">402</tt> <a class="py-toggle" href="#" id="transform-toggle" onclick="return toggle('transform');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj-module.html#transform">transform</a><tt class="py-op">(</tt><tt class="py-param">p1</tt><tt class="py-op">,</tt> <tt class="py-param">p2</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">,</tt> <tt class="py-param">y</tt><tt class="py-op">,</tt> <tt class="py-param">z</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">radians</tt><tt class="py-op">=</tt><tt class="py-name">False</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
454		</div><div id="transform-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="transform-expanded"><a name="L403"></a><tt class="py-lineno">403</tt> <tt class="py-line"> <tt class="py-docstring">"""</tt> </tt>
455		<a name="L404"></a><tt class="py-lineno">404</tt> <tt class="py-line"><tt class="py-docstring"> x2, y2, z2 = transform(p1, p2, x1, y1, z1, radians=False)</tt> </tt>
456		<a name="L405"></a><tt class="py-lineno">405</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
457		<a name="L406"></a><tt class="py-lineno">406</tt> <tt class="py-line"><tt class="py-docstring"> Transform points between two coordinate systems defined by the</tt> </tt>
458		<a name="L407"></a><tt class="py-lineno">407</tt> <tt class="py-line"><tt class="py-docstring"> Proj instances p1 and p2.</tt> </tt>
459		<a name="L408"></a><tt class="py-lineno">408</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
460		<a name="L409"></a><tt class="py-lineno">409</tt> <tt class="py-line"><tt class="py-docstring"> The points x1,y1,z1 in the coordinate system defined by p1 are</tt> </tt>
461		<a name="L410"></a><tt class="py-lineno">410</tt> <tt class="py-line"><tt class="py-docstring"> transformed to x2,y2,z2 in the coordinate system defined by p2.</tt> </tt>
462		<a name="L411"></a><tt class="py-lineno">411</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
463		<a name="L412"></a><tt class="py-lineno">412</tt> <tt class="py-line"><tt class="py-docstring"> z1 is optional, if it is not set it is assumed to be zero (and</tt> </tt>
464		<a name="L413"></a><tt class="py-lineno">413</tt> <tt class="py-line"><tt class="py-docstring"> only x2 and y2 are returned).</tt> </tt>
465		<a name="L414"></a><tt class="py-lineno">414</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
466		<a name="L415"></a><tt class="py-lineno">415</tt> <tt class="py-line"><tt class="py-docstring"> In addition to converting between cartographic and geographic</tt> </tt>
467		<a name="L416"></a><tt class="py-lineno">416</tt> <tt class="py-line"><tt class="py-docstring"> projection coordinates, this function can take care of datum</tt> </tt>
468		<a name="L417"></a><tt class="py-lineno">417</tt> <tt class="py-line"><tt class="py-docstring"> shifts (which cannot be done using the __call__ method of the</tt> </tt>
469		<a name="L418"></a><tt class="py-lineno">418</tt> <tt class="py-line"><tt class="py-docstring"> Proj instances). It also allows for one of the coordinate</tt> </tt>
470		<a name="L419"></a><tt class="py-lineno">419</tt> <tt class="py-line"><tt class="py-docstring"> systems to be geographic (proj = 'latlong').</tt> </tt>
471		<a name="L420"></a><tt class="py-lineno">420</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
472		<a name="L421"></a><tt class="py-lineno">421</tt> <tt class="py-line"><tt class="py-docstring"> If optional keyword 'radians' is True (default is False) and p1</tt> </tt>
473		<a name="L422"></a><tt class="py-lineno">422</tt> <tt class="py-line"><tt class="py-docstring"> is defined in geographic coordinate (pj.is_latlong() is True),</tt> </tt>
474		<a name="L423"></a><tt class="py-lineno">423</tt> <tt class="py-line"><tt class="py-docstring"> x1,y1 is interpreted as radians instead of the default degrees.</tt> </tt>
475		<a name="L424"></a><tt class="py-lineno">424</tt> <tt class="py-line"><tt class="py-docstring"> Similarly, if p2 is defined in geographic coordinates and</tt> </tt>
476		<a name="L425"></a><tt class="py-lineno">425</tt> <tt class="py-line"><tt class="py-docstring"> radians=True, x2, y2 are returned in radians instead of degrees.</tt> </tt>
477		<a name="L426"></a><tt class="py-lineno">426</tt> <tt class="py-line"><tt class="py-docstring"> if p1.is_latlong() and p2.is_latlong() both are False, the</tt> </tt>
478		<a name="L427"></a><tt class="py-lineno">427</tt> <tt class="py-line"><tt class="py-docstring"> radians keyword has no effect.</tt> </tt>
479		<a name="L428"></a><tt class="py-lineno">428</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
480		<a name="L429"></a><tt class="py-lineno">429</tt> <tt class="py-line"><tt class="py-docstring"> x,y and z can be numpy or regular python arrays, python</tt> </tt>
481		<a name="L430"></a><tt class="py-lineno">430</tt> <tt class="py-line"><tt class="py-docstring"> lists/tuples or scalars. Arrays are fastest. For projections in</tt> </tt>
482		<a name="L431"></a><tt class="py-lineno">431</tt> <tt class="py-line"><tt class="py-docstring"> geocentric coordinates, values of x and y are given in meters.</tt> </tt>
483		<a name="L432"></a><tt class="py-lineno">432</tt> <tt class="py-line"><tt class="py-docstring"> z is always meters.</tt> </tt>
	445	<a name="Proj.to_latlong"></a><div id="Proj.to_latlong-def"><a name="L394"></a><tt class="py-lineno">394</tt> <a class="py-toggle" href="#" id="Proj.to_latlong-toggle" onclick="return toggle('Proj.to_latlong');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj.Proj-class.html#to_latlong">to_latlong</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	446	</div><div id="Proj.to_latlong-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Proj.to_latlong-expanded"><a name="L395"></a><tt class="py-lineno">395</tt> <tt class="py-line"> <tt class="py-docstring">"""returns an equivalent Proj in the corresponding lon/lat</tt> </tt>
	447	<a name="L396"></a><tt class="py-lineno">396</tt> <tt class="py-line"><tt class="py-docstring"> coordinates. (see pj_latlong_from_proj() in the Proj.4 C API)"""</tt> </tt>
	448	<a name="L397"></a><tt class="py-lineno">397</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt id="link-10" class="py-name"><a title="pyproj.Proj" class="py-name" href="#" onclick="return doclink('link-10', 'Proj', 'link-6');">Proj</a></tt><tt class="py-op">.</tt><tt id="link-11" class="py-name" targets="Method pyproj.Proj.to_latlong()=pyproj.Proj-class.html#to_latlong"><a title="pyproj.Proj.to_latlong" class="py-name" href="#" onclick="return doclink('link-11', 'to_latlong', 'link-11');">to_latlong</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">)</tt> </tt>
	449	</div><a name="L398"></a><tt class="py-lineno">398</tt> <tt class="py-line"> </tt>
	450	<a name="Proj.is_latlong"></a><div id="Proj.is_latlong-def"><a name="L399"></a><tt class="py-lineno">399</tt> <a class="py-toggle" href="#" id="Proj.is_latlong-toggle" onclick="return toggle('Proj.is_latlong');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj.Proj-class.html#is_latlong">is_latlong</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	451	</div><div id="Proj.is_latlong-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Proj.is_latlong-expanded"><a name="L400"></a><tt class="py-lineno">400</tt> <tt class="py-line"> <tt class="py-docstring">"""returns True if projection in geographic (lon/lat) coordinates"""</tt> </tt>
	452	<a name="L401"></a><tt class="py-lineno">401</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt id="link-12" class="py-name"><a title="pyproj.Proj" class="py-name" href="#" onclick="return doclink('link-12', 'Proj', 'link-6');">Proj</a></tt><tt class="py-op">.</tt><tt id="link-13" class="py-name" targets="Method pyproj.Proj.is_latlong()=pyproj.Proj-class.html#is_latlong"><a title="pyproj.Proj.is_latlong" class="py-name" href="#" onclick="return doclink('link-13', 'is_latlong', 'link-13');">is_latlong</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">)</tt> </tt>
	453	</div><a name="L402"></a><tt class="py-lineno">402</tt> <tt class="py-line"> </tt>
	454	<a name="Proj.is_geocent"></a><div id="Proj.is_geocent-def"><a name="L403"></a><tt class="py-lineno">403</tt> <a class="py-toggle" href="#" id="Proj.is_geocent-toggle" onclick="return toggle('Proj.is_geocent');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj.Proj-class.html#is_geocent">is_geocent</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	455	</div><div id="Proj.is_geocent-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Proj.is_geocent-expanded"><a name="L404"></a><tt class="py-lineno">404</tt> <tt class="py-line"> <tt class="py-docstring">"""returns True if projection in geocentric (x/y) coordinates"""</tt> </tt>
	456	<a name="L405"></a><tt class="py-lineno">405</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt id="link-14" class="py-name"><a title="pyproj.Proj" class="py-name" href="#" onclick="return doclink('link-14', 'Proj', 'link-6');">Proj</a></tt><tt class="py-op">.</tt><tt id="link-15" class="py-name" targets="Method pyproj.Proj.is_geocent()=pyproj.Proj-class.html#is_geocent"><a title="pyproj.Proj.is_geocent" class="py-name" href="#" onclick="return doclink('link-15', 'is_geocent', 'link-15');">is_geocent</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">)</tt> </tt>
	457	</div></div><a name="L406"></a><tt class="py-lineno">406</tt> <tt class="py-line"> </tt>
	458	<a name="transform"></a><div id="transform-def"><a name="L407"></a><tt class="py-lineno">407</tt> <a class="py-toggle" href="#" id="transform-toggle" onclick="return toggle('transform');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj-module.html#transform">transform</a><tt class="py-op">(</tt><tt class="py-param">p1</tt><tt class="py-op">,</tt> <tt class="py-param">p2</tt><tt class="py-op">,</tt> <tt class="py-param">x</tt><tt class="py-op">,</tt> <tt class="py-param">y</tt><tt class="py-op">,</tt> <tt class="py-param">z</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-param">radians</tt><tt class="py-op">=</tt><tt class="py-name">False</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	459	</div><div id="transform-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="transform-expanded"><a name="L408"></a><tt class="py-lineno">408</tt> <tt class="py-line"> <tt class="py-docstring">"""</tt> </tt>
	460	<a name="L409"></a><tt class="py-lineno">409</tt> <tt class="py-line"><tt class="py-docstring"> x2, y2, z2 = transform(p1, p2, x1, y1, z1, radians=False)</tt> </tt>
	461	<a name="L410"></a><tt class="py-lineno">410</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	462	<a name="L411"></a><tt class="py-lineno">411</tt> <tt class="py-line"><tt class="py-docstring"> Transform points between two coordinate systems defined by the</tt> </tt>
	463	<a name="L412"></a><tt class="py-lineno">412</tt> <tt class="py-line"><tt class="py-docstring"> Proj instances p1 and p2.</tt> </tt>
	464	<a name="L413"></a><tt class="py-lineno">413</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	465	<a name="L414"></a><tt class="py-lineno">414</tt> <tt class="py-line"><tt class="py-docstring"> The points x1,y1,z1 in the coordinate system defined by p1 are</tt> </tt>
	466	<a name="L415"></a><tt class="py-lineno">415</tt> <tt class="py-line"><tt class="py-docstring"> transformed to x2,y2,z2 in the coordinate system defined by p2.</tt> </tt>
	467	<a name="L416"></a><tt class="py-lineno">416</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	468	<a name="L417"></a><tt class="py-lineno">417</tt> <tt class="py-line"><tt class="py-docstring"> z1 is optional, if it is not set it is assumed to be zero (and</tt> </tt>
	469	<a name="L418"></a><tt class="py-lineno">418</tt> <tt class="py-line"><tt class="py-docstring"> only x2 and y2 are returned).</tt> </tt>
	470	<a name="L419"></a><tt class="py-lineno">419</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	471	<a name="L420"></a><tt class="py-lineno">420</tt> <tt class="py-line"><tt class="py-docstring"> In addition to converting between cartographic and geographic</tt> </tt>
	472	<a name="L421"></a><tt class="py-lineno">421</tt> <tt class="py-line"><tt class="py-docstring"> projection coordinates, this function can take care of datum</tt> </tt>
	473	<a name="L422"></a><tt class="py-lineno">422</tt> <tt class="py-line"><tt class="py-docstring"> shifts (which cannot be done using the __call__ method of the</tt> </tt>
	474	<a name="L423"></a><tt class="py-lineno">423</tt> <tt class="py-line"><tt class="py-docstring"> Proj instances). It also allows for one of the coordinate</tt> </tt>
	475	<a name="L424"></a><tt class="py-lineno">424</tt> <tt class="py-line"><tt class="py-docstring"> systems to be geographic (proj = 'latlong').</tt> </tt>
	476	<a name="L425"></a><tt class="py-lineno">425</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	477	<a name="L426"></a><tt class="py-lineno">426</tt> <tt class="py-line"><tt class="py-docstring"> If optional keyword 'radians' is True (default is False) and p1</tt> </tt>
	478	<a name="L427"></a><tt class="py-lineno">427</tt> <tt class="py-line"><tt class="py-docstring"> is defined in geographic coordinate (pj.is_latlong() is True),</tt> </tt>
	479	<a name="L428"></a><tt class="py-lineno">428</tt> <tt class="py-line"><tt class="py-docstring"> x1,y1 is interpreted as radians instead of the default degrees.</tt> </tt>
	480	<a name="L429"></a><tt class="py-lineno">429</tt> <tt class="py-line"><tt class="py-docstring"> Similarly, if p2 is defined in geographic coordinates and</tt> </tt>
	481	<a name="L430"></a><tt class="py-lineno">430</tt> <tt class="py-line"><tt class="py-docstring"> radians=True, x2, y2 are returned in radians instead of degrees.</tt> </tt>
	482	<a name="L431"></a><tt class="py-lineno">431</tt> <tt class="py-line"><tt class="py-docstring"> if p1.is_latlong() and p2.is_latlong() both are False, the</tt> </tt>
	483	<a name="L432"></a><tt class="py-lineno">432</tt> <tt class="py-line"><tt class="py-docstring"> radians keyword has no effect.</tt> </tt>
484	484	<a name="L433"></a><tt class="py-lineno">433</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
485		<a name="L434"></a><tt class="py-lineno">434</tt> <tt class="py-line"><tt class="py-docstring"> Example usage:</tt> </tt>
486		<a name="L435"></a><tt class="py-lineno">435</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
487		<a name="L436"></a><tt class="py-lineno">436</tt> <tt class="py-line"><tt class="py-docstring"> >>> # projection 1: UTM zone 15, grs80 ellipse, NAD83 datum</tt> </tt>
488		<a name="L437"></a><tt class="py-lineno">437</tt> <tt class="py-line"><tt class="py-docstring"> >>> # (defined by epsg code 26915)</tt> </tt>
489		<a name="L438"></a><tt class="py-lineno">438</tt> <tt class="py-line"><tt class="py-docstring"> >>> p1 = Proj(init='epsg:26915')</tt> </tt>
490		<a name="L439"></a><tt class="py-lineno">439</tt> <tt class="py-line"><tt class="py-docstring"> >>> # projection 2: UTM zone 15, clrk66 ellipse, NAD27 datum</tt> </tt>
491		<a name="L440"></a><tt class="py-lineno">440</tt> <tt class="py-line"><tt class="py-docstring"> >>> p2 = Proj(init='epsg:26715')</tt> </tt>
492		<a name="L441"></a><tt class="py-lineno">441</tt> <tt class="py-line"><tt class="py-docstring"> >>> # find x,y of Jefferson City, MO.</tt> </tt>
493		<a name="L442"></a><tt class="py-lineno">442</tt> <tt class="py-line"><tt class="py-docstring"> >>> x1, y1 = p1(-92.199881,38.56694)</tt> </tt>
494		<a name="L443"></a><tt class="py-lineno">443</tt> <tt class="py-line"><tt class="py-docstring"> >>> # transform this point to projection 2 coordinates.</tt> </tt>
495		<a name="L444"></a><tt class="py-lineno">444</tt> <tt class="py-line"><tt class="py-docstring"> >>> x2, y2 = transform(p1,p2,x1,y1)</tt> </tt>
496		<a name="L445"></a><tt class="py-lineno">445</tt> <tt class="py-line"><tt class="py-docstring"> >>> '%9.3f %11.3f' % (x1,y1)</tt> </tt>
497		<a name="L446"></a><tt class="py-lineno">446</tt> <tt class="py-line"><tt class="py-docstring"> '569704.566 4269024.671'</tt> </tt>
498		<a name="L447"></a><tt class="py-lineno">447</tt> <tt class="py-line"><tt class="py-docstring"> >>> '%9.3f %11.3f' % (x2,y2)</tt> </tt>
499		<a name="L448"></a><tt class="py-lineno">448</tt> <tt class="py-line"><tt class="py-docstring"> '569722.342 4268814.027'</tt> </tt>
500		<a name="L449"></a><tt class="py-lineno">449</tt> <tt class="py-line"><tt class="py-docstring"> >>> '%8.3f %5.3f' % p2(x2,y2,inverse=True)</tt> </tt>
501		<a name="L450"></a><tt class="py-lineno">450</tt> <tt class="py-line"><tt class="py-docstring"> ' -92.200 38.567'</tt> </tt>
502		<a name="L451"></a><tt class="py-lineno">451</tt> <tt class="py-line"><tt class="py-docstring"> >>> # process 3 points at a time in a tuple</tt> </tt>
503		<a name="L452"></a><tt class="py-lineno">452</tt> <tt class="py-line"><tt class="py-docstring"> >>> lats = (38.83,39.32,38.75) # Columbia, KC and StL Missouri</tt> </tt>
504		<a name="L453"></a><tt class="py-lineno">453</tt> <tt class="py-line"><tt class="py-docstring"> >>> lons = (-92.22,-94.72,-90.37)</tt> </tt>
505		<a name="L454"></a><tt class="py-lineno">454</tt> <tt class="py-line"><tt class="py-docstring"> >>> x1, y1 = p1(lons,lats)</tt> </tt>
506		<a name="L455"></a><tt class="py-lineno">455</tt> <tt class="py-line"><tt class="py-docstring"> >>> x2, y2 = transform(p1,p2,x1,y1)</tt> </tt>
507		<a name="L456"></a><tt class="py-lineno">456</tt> <tt class="py-line"><tt class="py-docstring"> >>> xy = x1+y1</tt> </tt>
508		<a name="L457"></a><tt class="py-lineno">457</tt> <tt class="py-line"><tt class="py-docstring"> >>> '%9.3f %9.3f %9.3f %11.3f %11.3f %11.3f' % xy</tt> </tt>
509		<a name="L458"></a><tt class="py-lineno">458</tt> <tt class="py-line"><tt class="py-docstring"> '567703.344 351730.944 728553.093 4298200.739 4353698.725 4292319.005'</tt> </tt>
510		<a name="L459"></a><tt class="py-lineno">459</tt> <tt class="py-line"><tt class="py-docstring"> >>> xy = x2+y2</tt> </tt>
511		<a name="L460"></a><tt class="py-lineno">460</tt> <tt class="py-line"><tt class="py-docstring"> >>> '%9.3f %9.3f %9.3f %11.3f %11.3f %11.3f' % xy</tt> </tt>
512		<a name="L461"></a><tt class="py-lineno">461</tt> <tt class="py-line"><tt class="py-docstring"> '567721.149 351747.558 728569.133 4297989.112 4353489.644 4292106.305'</tt> </tt>
513		<a name="L462"></a><tt class="py-lineno">462</tt> <tt class="py-line"><tt class="py-docstring"> >>> lons, lats = p2(x2,y2,inverse=True)</tt> </tt>
514		<a name="L463"></a><tt class="py-lineno">463</tt> <tt class="py-line"><tt class="py-docstring"> >>> xy = lons+lats</tt> </tt>
515		<a name="L464"></a><tt class="py-lineno">464</tt> <tt class="py-line"><tt class="py-docstring"> >>> '%8.3f %8.3f %8.3f %5.3f %5.3f %5.3f' % xy</tt> </tt>
516		<a name="L465"></a><tt class="py-lineno">465</tt> <tt class="py-line"><tt class="py-docstring"> ' -92.220 -94.720 -90.370 38.830 39.320 38.750'</tt> </tt>
517		<a name="L466"></a><tt class="py-lineno">466</tt> <tt class="py-line"><tt class="py-docstring"> >>> # test datum shifting, installation of extra datum grid files.</tt> </tt>
518		<a name="L467"></a><tt class="py-lineno">467</tt> <tt class="py-line"><tt class="py-docstring"> >>> p1 = Proj(proj='latlong',datum='WGS84')</tt> </tt>
519		<a name="L468"></a><tt class="py-lineno">468</tt> <tt class="py-line"><tt class="py-docstring"> >>> x1 = -111.5; y1 = 45.25919444444</tt> </tt>
520		<a name="L469"></a><tt class="py-lineno">469</tt> <tt class="py-line"><tt class="py-docstring"> >>> p2 = Proj(proj="utm",zone=10,datum='NAD27')</tt> </tt>
521		<a name="L470"></a><tt class="py-lineno">470</tt> <tt class="py-line"><tt class="py-docstring"> >>> x2, y2 = transform(p1, p2, x1, y1)</tt> </tt>
522		<a name="L471"></a><tt class="py-lineno">471</tt> <tt class="py-line"><tt class="py-docstring"> >>> "%12.3f %12.3f" % (x2,y2)</tt> </tt>
523		<a name="L472"></a><tt class="py-lineno">472</tt> <tt class="py-line"><tt class="py-docstring"> ' 1402285.991 5076292.423'</tt> </tt>
524		<a name="L473"></a><tt class="py-lineno">473</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
525		<a name="L474"></a><tt class="py-lineno">474</tt> <tt class="py-line"> <tt class="py-comment"># process inputs, making copies that support buffer API.</tt> </tt>
526		<a name="L475"></a><tt class="py-lineno">475</tt> <tt class="py-line"> <tt class="py-name">inx</tt><tt class="py-op">,</tt> <tt class="py-name">xisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">xislist</tt><tt class="py-op">,</tt> <tt class="py-name">xistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> </tt>
527		<a name="L476"></a><tt class="py-lineno">476</tt> <tt class="py-line"> <tt class="py-name">iny</tt><tt class="py-op">,</tt> <tt class="py-name">yisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">yislist</tt><tt class="py-op">,</tt> <tt class="py-name">yistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">y</tt><tt class="py-op">)</tt> </tt>
528		<a name="L477"></a><tt class="py-lineno">477</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">z</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
529		<a name="L478"></a><tt class="py-lineno">478</tt> <tt class="py-line"> <tt class="py-name">inz</tt><tt class="py-op">,</tt> <tt class="py-name">zisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">zislist</tt><tt class="py-op">,</tt> <tt class="py-name">zistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">z</tt><tt class="py-op">)</tt> </tt>
530		<a name="L479"></a><tt class="py-lineno">479</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
531		<a name="L480"></a><tt class="py-lineno">480</tt> <tt class="py-line"> <tt class="py-name">inz</tt> <tt class="py-op">=</tt> <tt class="py-name">None</tt> </tt>
532		<a name="L481"></a><tt class="py-lineno">481</tt> <tt class="py-line"> <tt class="py-comment"># call pj_transform. inx,iny,inz buffers modified in place.</tt> </tt>
533		<a name="L482"></a><tt class="py-lineno">482</tt> <tt class="py-line"> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt class="py-name">_transform</tt><tt class="py-op">(</tt><tt class="py-name">p1</tt><tt class="py-op">,</tt><tt class="py-name">p2</tt><tt class="py-op">,</tt><tt class="py-name">inx</tt><tt class="py-op">,</tt><tt class="py-name">iny</tt><tt class="py-op">,</tt><tt class="py-name">inz</tt><tt class="py-op">,</tt><tt class="py-name">radians</tt><tt class="py-op">)</tt> </tt>
534		<a name="L483"></a><tt class="py-lineno">483</tt> <tt class="py-line"> <tt class="py-comment"># if inputs were lists, tuples or floats, convert back.</tt> </tt>
535		<a name="L484"></a><tt class="py-lineno">484</tt> <tt class="py-line"> <tt class="py-name">outx</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">xisfloat</tt><tt class="py-op">,</tt><tt class="py-name">xislist</tt><tt class="py-op">,</tt><tt class="py-name">xistuple</tt><tt class="py-op">,</tt><tt class="py-name">inx</tt><tt class="py-op">)</tt> </tt>
536		<a name="L485"></a><tt class="py-lineno">485</tt> <tt class="py-line"> <tt class="py-name">outy</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">yisfloat</tt><tt class="py-op">,</tt><tt class="py-name">yislist</tt><tt class="py-op">,</tt><tt class="py-name">xistuple</tt><tt class="py-op">,</tt><tt class="py-name">iny</tt><tt class="py-op">)</tt> </tt>
537		<a name="L486"></a><tt class="py-lineno">486</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">inz</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
538		<a name="L487"></a><tt class="py-lineno">487</tt> <tt class="py-line"> <tt class="py-name">outz</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">zisfloat</tt><tt class="py-op">,</tt><tt class="py-name">zislist</tt><tt class="py-op">,</tt><tt class="py-name">zistuple</tt><tt class="py-op">,</tt><tt class="py-name">inz</tt><tt class="py-op">)</tt> </tt>
539		<a name="L488"></a><tt class="py-lineno">488</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">outx</tt><tt class="py-op">,</tt> <tt class="py-name">outy</tt><tt class="py-op">,</tt> <tt class="py-name">outz</tt> </tt>
540		<a name="L489"></a><tt class="py-lineno">489</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
541		<a name="L490"></a><tt class="py-lineno">490</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">outx</tt><tt class="py-op">,</tt> <tt class="py-name">outy</tt> </tt>
542		</div><a name="L491"></a><tt class="py-lineno">491</tt> <tt class="py-line"> </tt>
543		<a name="_copytobuffer_return_scalar"></a><div id="_copytobuffer_return_scalar-def"><a name="L492"></a><tt class="py-lineno">492</tt> <a class="py-toggle" href="#" id="_copytobuffer_return_scalar-toggle" onclick="return toggle('_copytobuffer_return_scalar');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj-module.html#_copytobuffer_return_scalar">_copytobuffer_return_scalar</a><tt class="py-op">(</tt><tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
544		</div><div id="_copytobuffer_return_scalar-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="_copytobuffer_return_scalar-expanded"><a name="L493"></a><tt class="py-lineno">493</tt> <tt class="py-line"> <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
545		<a name="L494"></a><tt class="py-lineno">494</tt> <tt class="py-line"> <tt class="py-comment"># inx,isfloat,islist,istuple</tt> </tt>
546		<a name="L495"></a><tt class="py-lineno">495</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-string">'d'</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-name">True</tt><tt class="py-op">,</tt><tt class="py-name">False</tt><tt class="py-op">,</tt><tt class="py-name">False</tt> </tt>
547		<a name="L496"></a><tt class="py-lineno">496</tt> <tt class="py-line"> <tt class="py-keyword">except</tt><tt class="py-op">:</tt> </tt>
548		<a name="L497"></a><tt class="py-lineno">497</tt> <tt class="py-line"> <tt class="py-keyword">raise</tt> <tt class="py-name">TypeError</tt><tt class="py-op">(</tt><tt class="py-string">'input must be an array, list, tuple or scalar'</tt><tt class="py-op">)</tt> </tt>
549		</div><a name="L498"></a><tt class="py-lineno">498</tt> <tt class="py-line"> </tt>
550		<a name="_copytobuffer"></a><div id="_copytobuffer-def"><a name="L499"></a><tt class="py-lineno">499</tt> <a class="py-toggle" href="#" id="_copytobuffer-toggle" onclick="return toggle('_copytobuffer');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj-module.html#_copytobuffer">_copytobuffer</a><tt class="py-op">(</tt><tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
551		</div><div id="_copytobuffer-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="_copytobuffer-expanded"><a name="L500"></a><tt class="py-lineno">500</tt> <tt class="py-line"> <tt class="py-docstring">"""</tt> </tt>
552		<a name="L501"></a><tt class="py-lineno">501</tt> <tt class="py-line"><tt class="py-docstring"> return a copy of x as an object that supports the python Buffer</tt> </tt>
553		<a name="L502"></a><tt class="py-lineno">502</tt> <tt class="py-line"><tt class="py-docstring"> API (python array if input is float, list or tuple, numpy array</tt> </tt>
554		<a name="L503"></a><tt class="py-lineno">503</tt> <tt class="py-line"><tt class="py-docstring"> if input is a numpy array). returns copyofx, isfloat, islist,</tt> </tt>
555		<a name="L504"></a><tt class="py-lineno">504</tt> <tt class="py-line"><tt class="py-docstring"> istuple (islist is True if input is a list, istuple is true if</tt> </tt>
556		<a name="L505"></a><tt class="py-lineno">505</tt> <tt class="py-line"><tt class="py-docstring"> input is a tuple, isfloat is true if input is a float).</tt> </tt>
557		<a name="L506"></a><tt class="py-lineno">506</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
558		<a name="L507"></a><tt class="py-lineno">507</tt> <tt class="py-line"> <tt class="py-comment"># make sure x supports Buffer API and contains doubles.</tt> </tt>
559		<a name="L508"></a><tt class="py-lineno">508</tt> <tt class="py-line"> <tt class="py-name">isfloat</tt> <tt class="py-op">=</tt> <tt class="py-name">False</tt><tt class="py-op">;</tt> <tt class="py-name">islist</tt> <tt class="py-op">=</tt> <tt class="py-name">False</tt><tt class="py-op">;</tt> <tt class="py-name">istuple</tt> <tt class="py-op">=</tt> <tt class="py-name">False</tt> </tt>
560		<a name="L509"></a><tt class="py-lineno">509</tt> <tt class="py-line"> <tt class="py-comment"># first, if it's a numpy array scalar convert to float</tt> </tt>
561		<a name="L510"></a><tt class="py-lineno">510</tt> <tt class="py-line"> <tt class="py-comment"># (array scalars don't support buffer API)</tt> </tt>
562		<a name="L511"></a><tt class="py-lineno">511</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">hasattr</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">,</tt><tt class="py-string">'shape'</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
563		<a name="L512"></a><tt class="py-lineno">512</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">x</tt><tt class="py-op">.</tt><tt class="py-name">shape</tt> <tt class="py-op">==</tt> <tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
564		<a name="L513"></a><tt class="py-lineno">513</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">_copytobuffer_return_scalar</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> </tt>
565		<a name="L514"></a><tt class="py-lineno">514</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
566		<a name="L515"></a><tt class="py-lineno">515</tt> <tt class="py-line"> <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
567		<a name="L516"></a><tt class="py-lineno">516</tt> <tt class="py-line"> <tt class="py-comment"># typecast numpy arrays to double.</tt> </tt>
568		<a name="L517"></a><tt class="py-lineno">517</tt> <tt class="py-line"> <tt class="py-comment"># (this makes a copy - which is crucial</tt> </tt>
569		<a name="L518"></a><tt class="py-lineno">518</tt> <tt class="py-line"> <tt class="py-comment"># since buffer is modified in place)</tt> </tt>
570		<a name="L519"></a><tt class="py-lineno">519</tt> <tt class="py-line"> <tt class="py-name">x</tt><tt class="py-op">.</tt><tt class="py-name">dtype</tt><tt class="py-op">.</tt><tt class="py-name">char</tt> </tt>
571		<a name="L520"></a><tt class="py-lineno">520</tt> <tt class="py-line"> <tt class="py-name">inx</tt> <tt class="py-op">=</tt> <tt class="py-name">x</tt><tt class="py-op">.</tt><tt class="py-name">astype</tt><tt class="py-op">(</tt><tt class="py-string">'d'</tt><tt class="py-op">)</tt> </tt>
572		<a name="L521"></a><tt class="py-lineno">521</tt> <tt class="py-line"> <tt class="py-comment"># inx,isfloat,islist,istuple</tt> </tt>
573		<a name="L522"></a><tt class="py-lineno">522</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">inx</tt><tt class="py-op">,</tt><tt class="py-name">False</tt><tt class="py-op">,</tt><tt class="py-name">False</tt><tt class="py-op">,</tt><tt class="py-name">False</tt> </tt>
574		<a name="L523"></a><tt class="py-lineno">523</tt> <tt class="py-line"> <tt class="py-keyword">except</tt><tt class="py-op">:</tt> </tt>
575		<a name="L524"></a><tt class="py-lineno">524</tt> <tt class="py-line"> <tt class="py-keyword">try</tt><tt class="py-op">:</tt> <tt class="py-comment"># perhaps they are Numeric/numarrays?</tt> </tt>
576		<a name="L525"></a><tt class="py-lineno">525</tt> <tt class="py-line"> <tt class="py-comment"># sorry, not tested yet.</tt> </tt>
577		<a name="L526"></a><tt class="py-lineno">526</tt> <tt class="py-line"> <tt class="py-comment"># i don't know Numeric/numarrays has `shape'.</tt> </tt>
578		<a name="L527"></a><tt class="py-lineno">527</tt> <tt class="py-line"> <tt class="py-name">x</tt><tt class="py-op">.</tt><tt class="py-name">typecode</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
579		<a name="L528"></a><tt class="py-lineno">528</tt> <tt class="py-line"> <tt class="py-name">inx</tt> <tt class="py-op">=</tt> <tt class="py-name">x</tt><tt class="py-op">.</tt><tt class="py-name">astype</tt><tt class="py-op">(</tt><tt class="py-string">'d'</tt><tt class="py-op">)</tt> </tt>
580		<a name="L529"></a><tt class="py-lineno">529</tt> <tt class="py-line"> <tt class="py-comment"># inx,isfloat,islist,istuple</tt> </tt>
581		<a name="L530"></a><tt class="py-lineno">530</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">inx</tt><tt class="py-op">,</tt><tt class="py-name">False</tt><tt class="py-op">,</tt><tt class="py-name">False</tt><tt class="py-op">,</tt><tt class="py-name">False</tt> </tt>
582		<a name="L531"></a><tt class="py-lineno">531</tt> <tt class="py-line"> <tt class="py-keyword">except</tt><tt class="py-op">:</tt> </tt>
583		<a name="L532"></a><tt class="py-lineno">532</tt> <tt class="py-line"> <tt class="py-keyword">raise</tt> <tt class="py-name">TypeError</tt><tt class="py-op">(</tt><tt class="py-string">'input must be an array, list, tuple or scalar'</tt><tt class="py-op">)</tt> </tt>
584		<a name="L533"></a><tt class="py-lineno">533</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
585		<a name="L534"></a><tt class="py-lineno">534</tt> <tt class="py-line"> <tt class="py-comment"># perhaps they are regular python arrays?</tt> </tt>
586		<a name="L535"></a><tt class="py-lineno">535</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">hasattr</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">,</tt> <tt class="py-string">'typecode'</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
587		<a name="L536"></a><tt class="py-lineno">536</tt> <tt class="py-line"> <tt class="py-comment">#x.typecode</tt> </tt>
588		<a name="L537"></a><tt class="py-lineno">537</tt> <tt class="py-line"> <tt class="py-name">inx</tt> <tt class="py-op">=</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-string">'d'</tt><tt class="py-op">,</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> </tt>
589		<a name="L538"></a><tt class="py-lineno">538</tt> <tt class="py-line"> <tt class="py-comment"># try to convert to python array</tt> </tt>
590		<a name="L539"></a><tt class="py-lineno">539</tt> <tt class="py-line"> <tt class="py-comment"># a list.</tt> </tt>
591		<a name="L540"></a><tt class="py-lineno">540</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-name">type</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-name">list</tt><tt class="py-op">:</tt> </tt>
592		<a name="L541"></a><tt class="py-lineno">541</tt> <tt class="py-line"> <tt class="py-name">inx</tt> <tt class="py-op">=</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-string">'d'</tt><tt class="py-op">,</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> </tt>
593		<a name="L542"></a><tt class="py-lineno">542</tt> <tt class="py-line"> <tt class="py-name">islist</tt> <tt class="py-op">=</tt> <tt class="py-name">True</tt> </tt>
594		<a name="L543"></a><tt class="py-lineno">543</tt> <tt class="py-line"> <tt class="py-comment"># a tuple.</tt> </tt>
595		<a name="L544"></a><tt class="py-lineno">544</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-name">type</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-name">tuple</tt><tt class="py-op">:</tt> </tt>
596		<a name="L545"></a><tt class="py-lineno">545</tt> <tt class="py-line"> <tt class="py-name">inx</tt> <tt class="py-op">=</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-string">'d'</tt><tt class="py-op">,</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> </tt>
597		<a name="L546"></a><tt class="py-lineno">546</tt> <tt class="py-line"> <tt class="py-name">istuple</tt> <tt class="py-op">=</tt> <tt class="py-name">True</tt> </tt>
598		<a name="L547"></a><tt class="py-lineno">547</tt> <tt class="py-line"> <tt class="py-comment"># a scalar?</tt> </tt>
599		<a name="L548"></a><tt class="py-lineno">548</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
600		<a name="L549"></a><tt class="py-lineno">549</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">_copytobuffer_return_scalar</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> </tt>
601		<a name="L550"></a><tt class="py-lineno">550</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">inx</tt><tt class="py-op">,</tt><tt class="py-name">isfloat</tt><tt class="py-op">,</tt><tt class="py-name">islist</tt><tt class="py-op">,</tt><tt class="py-name">istuple</tt> </tt>
602		</div><a name="L551"></a><tt class="py-lineno">551</tt> <tt class="py-line"> </tt>
603		<a name="_convertback"></a><div id="_convertback-def"><a name="L552"></a><tt class="py-lineno">552</tt> <a class="py-toggle" href="#" id="_convertback-toggle" onclick="return toggle('_convertback');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj-module.html#_convertback">_convertback</a><tt class="py-op">(</tt><tt class="py-param">isfloat</tt><tt class="py-op">,</tt><tt class="py-param">islist</tt><tt class="py-op">,</tt><tt class="py-param">istuple</tt><tt class="py-op">,</tt><tt class="py-param">inx</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
604		</div><div id="_convertback-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="_convertback-expanded"><a name="L553"></a><tt class="py-lineno">553</tt> <tt class="py-line"> <tt class="py-comment"># if inputs were lists, tuples or floats, convert back to original type.</tt> </tt>
605		<a name="L554"></a><tt class="py-lineno">554</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">isfloat</tt><tt class="py-op">:</tt> </tt>
606		<a name="L555"></a><tt class="py-lineno">555</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">inx</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> </tt>
607		<a name="L556"></a><tt class="py-lineno">556</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-name">islist</tt><tt class="py-op">:</tt> </tt>
608		<a name="L557"></a><tt class="py-lineno">557</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">inx</tt><tt class="py-op">.</tt><tt class="py-name">tolist</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
609		<a name="L558"></a><tt class="py-lineno">558</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-name">istuple</tt><tt class="py-op">:</tt> </tt>
610		<a name="L559"></a><tt class="py-lineno">559</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">tuple</tt><tt class="py-op">(</tt><tt class="py-name">inx</tt><tt class="py-op">)</tt> </tt>
611		<a name="L560"></a><tt class="py-lineno">560</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
612		<a name="L561"></a><tt class="py-lineno">561</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">inx</tt> </tt>
613		</div><a name="L562"></a><tt class="py-lineno">562</tt> <tt class="py-line"> </tt>
614		<a name="_dict2string"></a><div id="_dict2string-def"><a name="L563"></a><tt class="py-lineno">563</tt> <a class="py-toggle" href="#" id="_dict2string-toggle" onclick="return toggle('_dict2string');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj-module.html#_dict2string">_dict2string</a><tt class="py-op">(</tt><tt class="py-param">projparams</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
615		</div><div id="_dict2string-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="_dict2string-expanded"><a name="L564"></a><tt class="py-lineno">564</tt> <tt class="py-line"> <tt class="py-comment"># convert a dict to a proj4 string.</tt> </tt>
616		<a name="L565"></a><tt class="py-lineno">565</tt> <tt class="py-line"> <tt class="py-name">pjargs</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-op">]</tt> </tt>
617		<a name="L566"></a><tt class="py-lineno">566</tt> <tt class="py-line"> <tt class="py-keyword">for</tt> <tt class="py-name">key</tt><tt class="py-op">,</tt><tt class="py-name">value</tt> <tt class="py-keyword">in</tt> <tt class="py-name">projparams</tt><tt class="py-op">.</tt><tt class="py-name">items</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
618		<a name="L567"></a><tt class="py-lineno">567</tt> <tt class="py-line"> <tt class="py-name">pjargs</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-string">'+'</tt><tt class="py-op">+</tt><tt class="py-name">key</tt><tt class="py-op">+</tt><tt class="py-string">"="</tt><tt class="py-op">+</tt><tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">value</tt><tt class="py-op">)</tt><tt class="py-op">+</tt><tt class="py-string">' '</tt><tt class="py-op">)</tt> </tt>
619		<a name="L568"></a><tt class="py-lineno">568</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-string">''</tt><tt class="py-op">.</tt><tt class="py-name">join</tt><tt class="py-op">(</tt><tt class="py-name">pjargs</tt><tt class="py-op">)</tt> </tt>
620		</div><a name="L569"></a><tt class="py-lineno">569</tt> <tt class="py-line"> </tt>
621		<a name="Geod"></a><div id="Geod-def"><a name="L570"></a><tt class="py-lineno">570</tt> <a class="py-toggle" href="#" id="Geod-toggle" onclick="return toggle('Geod');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pyproj.Geod-class.html">Geod</a><tt class="py-op">(</tt><tt class="py-base-class">_proj</tt><tt class="py-op">.</tt><tt class="py-base-class">Geod</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
622		</div><div id="Geod-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Geod-expanded"><a name="L571"></a><tt class="py-lineno">571</tt> <tt class="py-line"> <tt class="py-docstring">"""</tt> </tt>
623		<a name="L572"></a><tt class="py-lineno">572</tt> <tt class="py-line"><tt class="py-docstring"> performs forward and inverse geodetic, or Great Circle,</tt> </tt>
624		<a name="L573"></a><tt class="py-lineno">573</tt> <tt class="py-line"><tt class="py-docstring"> computations. The forward computation (using the 'fwd' method)</tt> </tt>
625		<a name="L574"></a><tt class="py-lineno">574</tt> <tt class="py-line"><tt class="py-docstring"> involves determining latitude, longitude and back azimuth of a</tt> </tt>
626		<a name="L575"></a><tt class="py-lineno">575</tt> <tt class="py-line"><tt class="py-docstring"> computations. The forward computation (using the 'fwd' method)</tt> </tt>
627		<a name="L576"></a><tt class="py-lineno">576</tt> <tt class="py-line"><tt class="py-docstring"> involves determining latitude, longitude and back azimuth of a</tt> </tt>
628		<a name="L577"></a><tt class="py-lineno">577</tt> <tt class="py-line"><tt class="py-docstring"> terminus point given the latitude and longitude of an initial</tt> </tt>
629		<a name="L578"></a><tt class="py-lineno">578</tt> <tt class="py-line"><tt class="py-docstring"> point, plus azimuth and distance. The inverse computation (using</tt> </tt>
630		<a name="L579"></a><tt class="py-lineno">579</tt> <tt class="py-line"><tt class="py-docstring"> the 'inv' method) involves determining the forward and back</tt> </tt>
631		<a name="L580"></a><tt class="py-lineno">580</tt> <tt class="py-line"><tt class="py-docstring"> azimuths and distance given the latitudes and longitudes of an</tt> </tt>
632		<a name="L581"></a><tt class="py-lineno">581</tt> <tt class="py-line"><tt class="py-docstring"> initial and terminus point.</tt> </tt>
633		<a name="L582"></a><tt class="py-lineno">582</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
634		<a name="Geod.__new__"></a><div id="Geod.__new__-def"><a name="L583"></a><tt class="py-lineno">583</tt> <a class="py-toggle" href="#" id="Geod.__new__-toggle" onclick="return toggle('Geod.__new__');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj.Geod-class.html#__new__">__new__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">initstring</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-op">**</tt><tt class="py-param">kwargs</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
635		</div><div id="Geod.__new__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Geod.__new__-expanded"><a name="L584"></a><tt class="py-lineno">584</tt> <tt class="py-line"> <tt class="py-docstring">"""</tt> </tt>
636		<a name="L585"></a><tt class="py-lineno">585</tt> <tt class="py-line"><tt class="py-docstring"> initialize a Geod class instance.</tt> </tt>
637		<a name="L586"></a><tt class="py-lineno">586</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
638		<a name="L587"></a><tt class="py-lineno">587</tt> <tt class="py-line"><tt class="py-docstring"> Geodetic parameters for specifying the ellipsoid</tt> </tt>
639		<a name="L588"></a><tt class="py-lineno">588</tt> <tt class="py-line"><tt class="py-docstring"> can be given in a dictionary 'initparams', as keyword arguments,</tt> </tt>
640		<a name="L589"></a><tt class="py-lineno">589</tt> <tt class="py-line"><tt class="py-docstring"> or as as proj4 geod initialization string.</tt> </tt>
641		<a name="L590"></a><tt class="py-lineno">590</tt> <tt class="py-line"><tt class="py-docstring"> Following is a list of the ellipsoids that may be defined using the</tt> </tt>
642		<a name="L591"></a><tt class="py-lineno">591</tt> <tt class="py-line"><tt class="py-docstring"> 'ellps' keyword (these are stored in the model variable pj_ellps)::</tt> </tt>
643		<a name="L592"></a><tt class="py-lineno">592</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
644		<a name="L593"></a><tt class="py-lineno">593</tt> <tt class="py-line"><tt class="py-docstring"> MERIT a=6378137.0 rf=298.257 MERIT 1983</tt> </tt>
645		<a name="L594"></a><tt class="py-lineno">594</tt> <tt class="py-line"><tt class="py-docstring"> SGS85 a=6378136.0 rf=298.257 Soviet Geodetic System 85</tt> </tt>
646		<a name="L595"></a><tt class="py-lineno">595</tt> <tt class="py-line"><tt class="py-docstring"> GRS80 a=6378137.0 rf=298.257222101 GRS 1980(IUGG, 1980)</tt> </tt>
647		<a name="L596"></a><tt class="py-lineno">596</tt> <tt class="py-line"><tt class="py-docstring"> IAU76 a=6378140.0 rf=298.257 IAU 1976</tt> </tt>
648		<a name="L597"></a><tt class="py-lineno">597</tt> <tt class="py-line"><tt class="py-docstring"> airy a=6377563.396 b=6356256.910 Airy 1830</tt> </tt>
649		<a name="L598"></a><tt class="py-lineno">598</tt> <tt class="py-line"><tt class="py-docstring"> APL4.9 a=6378137.0. rf=298.25 Appl. Physics. 1965</tt> </tt>
650		<a name="L599"></a><tt class="py-lineno">599</tt> <tt class="py-line"><tt class="py-docstring"> airy a=6377563.396 b=6356256.910 Airy 1830</tt> </tt>
651		<a name="L600"></a><tt class="py-lineno">600</tt> <tt class="py-line"><tt class="py-docstring"> APL4.9 a=6378137.0. rf=298.25 Appl. Physics. 1965</tt> </tt>
652		<a name="L601"></a><tt class="py-lineno">601</tt> <tt class="py-line"><tt class="py-docstring"> NWL9D a=6378145.0. rf=298.25 Naval Weapons Lab., 1965</tt> </tt>
653		<a name="L602"></a><tt class="py-lineno">602</tt> <tt class="py-line"><tt class="py-docstring"> mod_airy a=6377340.189 b=6356034.446 Modified Airy</tt> </tt>
654		<a name="L603"></a><tt class="py-lineno">603</tt> <tt class="py-line"><tt class="py-docstring"> andrae a=6377104.43 rf=300.0 Andrae 1876 (Den., Iclnd.)</tt> </tt>
655		<a name="L604"></a><tt class="py-lineno">604</tt> <tt class="py-line"><tt class="py-docstring"> aust_SA a=6378160.0 rf=298.25 Australian Natl & S. Amer. 1969</tt> </tt>
656		<a name="L605"></a><tt class="py-lineno">605</tt> <tt class="py-line"><tt class="py-docstring"> GRS67 a=6378160.0 rf=298.247167427 GRS 67(IUGG 1967)</tt> </tt>
657		<a name="L606"></a><tt class="py-lineno">606</tt> <tt class="py-line"><tt class="py-docstring"> bessel a=6377397.155 rf=299.1528128 Bessel 1841</tt> </tt>
658		<a name="L607"></a><tt class="py-lineno">607</tt> <tt class="py-line"><tt class="py-docstring"> bess_nam a=6377483.865 rf=299.1528128 Bessel 1841 (Namibia)</tt> </tt>
659		<a name="L608"></a><tt class="py-lineno">608</tt> <tt class="py-line"><tt class="py-docstring"> clrk66 a=6378206.4 b=6356583.8 Clarke 1866</tt> </tt>
660		<a name="L609"></a><tt class="py-lineno">609</tt> <tt class="py-line"><tt class="py-docstring"> clrk80 a=6378249.145 rf=293.4663 Clarke 1880 mod.</tt> </tt>
661		<a name="L610"></a><tt class="py-lineno">610</tt> <tt class="py-line"><tt class="py-docstring"> CPM a=6375738.7 rf=334.29 Comm. des Poids et Mesures 1799</tt> </tt>
662		<a name="L611"></a><tt class="py-lineno">611</tt> <tt class="py-line"><tt class="py-docstring"> delmbr a=6376428. rf=311.5 Delambre 1810 (Belgium)</tt> </tt>
663		<a name="L612"></a><tt class="py-lineno">612</tt> <tt class="py-line"><tt class="py-docstring"> engelis a=6378136.05 rf=298.2566 Engelis 1985</tt> </tt>
664		<a name="L613"></a><tt class="py-lineno">613</tt> <tt class="py-line"><tt class="py-docstring"> evrst30 a=6377276.345 rf=300.8017 Everest 1830</tt> </tt>
665		<a name="L614"></a><tt class="py-lineno">614</tt> <tt class="py-line"><tt class="py-docstring"> evrst48 a=6377304.063 rf=300.8017 Everest 1948</tt> </tt>
666		<a name="L615"></a><tt class="py-lineno">615</tt> <tt class="py-line"><tt class="py-docstring"> evrst56 a=6377301.243 rf=300.8017 Everest 1956</tt> </tt>
667		<a name="L616"></a><tt class="py-lineno">616</tt> <tt class="py-line"><tt class="py-docstring"> evrst69 a=6377295.664 rf=300.8017 Everest 1969</tt> </tt>
668		<a name="L617"></a><tt class="py-lineno">617</tt> <tt class="py-line"><tt class="py-docstring"> evrstSS a=6377298.556 rf=300.8017 Everest (Sabah & Sarawak)</tt> </tt>
669		<a name="L618"></a><tt class="py-lineno">618</tt> <tt class="py-line"><tt class="py-docstring"> fschr60 a=6378166. rf=298.3 Fischer (Mercury Datum) 1960</tt> </tt>
670		<a name="L619"></a><tt class="py-lineno">619</tt> <tt class="py-line"><tt class="py-docstring"> fschr60m a=6378155. rf=298.3 Modified Fischer 1960</tt> </tt>
671		<a name="L620"></a><tt class="py-lineno">620</tt> <tt class="py-line"><tt class="py-docstring"> fschr68 a=6378150. rf=298.3 Fischer 1968</tt> </tt>
672		<a name="L621"></a><tt class="py-lineno">621</tt> <tt class="py-line"><tt class="py-docstring"> helmert a=6378200. rf=298.3 Helmert 1906</tt> </tt>
673		<a name="L622"></a><tt class="py-lineno">622</tt> <tt class="py-line"><tt class="py-docstring"> hough a=6378270.0 rf=297. Hough</tt> </tt>
674		<a name="L623"></a><tt class="py-lineno">623</tt> <tt class="py-line"><tt class="py-docstring"> helmert a=6378200. rf=298.3 Helmert 1906</tt> </tt>
675		<a name="L624"></a><tt class="py-lineno">624</tt> <tt class="py-line"><tt class="py-docstring"> hough a=6378270.0 rf=297. Hough</tt> </tt>
676		<a name="L625"></a><tt class="py-lineno">625</tt> <tt class="py-line"><tt class="py-docstring"> intl a=6378388.0 rf=297. International 1909 (Hayford)</tt> </tt>
677		<a name="L626"></a><tt class="py-lineno">626</tt> <tt class="py-line"><tt class="py-docstring"> krass a=6378245.0 rf=298.3 Krassovsky, 1942</tt> </tt>
678		<a name="L627"></a><tt class="py-lineno">627</tt> <tt class="py-line"><tt class="py-docstring"> kaula a=6378163. rf=298.24 Kaula 1961</tt> </tt>
679		<a name="L628"></a><tt class="py-lineno">628</tt> <tt class="py-line"><tt class="py-docstring"> lerch a=6378139. rf=298.257 Lerch 1979</tt> </tt>
680		<a name="L629"></a><tt class="py-lineno">629</tt> <tt class="py-line"><tt class="py-docstring"> mprts a=6397300. rf=191. Maupertius 1738</tt> </tt>
681		<a name="L630"></a><tt class="py-lineno">630</tt> <tt class="py-line"><tt class="py-docstring"> new_intl a=6378157.5 b=6356772.2 New International 1967</tt> </tt>
682		<a name="L631"></a><tt class="py-lineno">631</tt> <tt class="py-line"><tt class="py-docstring"> plessis a=6376523. b=6355863. Plessis 1817 (France)</tt> </tt>
683		<a name="L632"></a><tt class="py-lineno">632</tt> <tt class="py-line"><tt class="py-docstring"> SEasia a=6378155.0 b=6356773.3205 Southeast Asia</tt> </tt>
684		<a name="L633"></a><tt class="py-lineno">633</tt> <tt class="py-line"><tt class="py-docstring"> walbeck a=6376896.0 b=6355834.8467 Walbeck</tt> </tt>
685		<a name="L634"></a><tt class="py-lineno">634</tt> <tt class="py-line"><tt class="py-docstring"> WGS60 a=6378165.0 rf=298.3 WGS 60</tt> </tt>
686		<a name="L635"></a><tt class="py-lineno">635</tt> <tt class="py-line"><tt class="py-docstring"> WGS66 a=6378145.0 rf=298.25 WGS 66</tt> </tt>
687		<a name="L636"></a><tt class="py-lineno">636</tt> <tt class="py-line"><tt class="py-docstring"> WGS72 a=6378135.0 rf=298.26 WGS 72</tt> </tt>
688		<a name="L637"></a><tt class="py-lineno">637</tt> <tt class="py-line"><tt class="py-docstring"> WGS84 a=6378137.0 rf=298.257223563 WGS 84</tt> </tt>
689		<a name="L638"></a><tt class="py-lineno">638</tt> <tt class="py-line"><tt class="py-docstring"> sphere a=6370997.0 b=6370997.0 Normal Sphere (r=6370997)</tt> </tt>
690		<a name="L639"></a><tt class="py-lineno">639</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
691		<a name="L640"></a><tt class="py-lineno">640</tt> <tt class="py-line"><tt class="py-docstring"> The parameters of the ellipsoid may also be set directly using</tt> </tt>
692		<a name="L641"></a><tt class="py-lineno">641</tt> <tt class="py-line"><tt class="py-docstring"> the 'a' (semi-major or equatorial axis radius) keyword, and</tt> </tt>
693		<a name="L642"></a><tt class="py-lineno">642</tt> <tt class="py-line"><tt class="py-docstring"> any one of the following keywords: 'b' (semi-minor,</tt> </tt>
694		<a name="L643"></a><tt class="py-lineno">643</tt> <tt class="py-line"><tt class="py-docstring"> or polar axis radius), 'e' (eccentricity), 'es' (eccentricity</tt> </tt>
695		<a name="L644"></a><tt class="py-lineno">644</tt> <tt class="py-line"><tt class="py-docstring"> squared), 'f' (flattening), or 'rf' (reciprocal flattening).</tt> </tt>
696		<a name="L645"></a><tt class="py-lineno">645</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
697		<a name="L646"></a><tt class="py-lineno">646</tt> <tt class="py-line"><tt class="py-docstring"> See the proj documentation (http://trac.osgeo.org/proj/) for more</tt> </tt>
698		<a name="L647"></a><tt class="py-lineno">647</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
699		<a name="L648"></a><tt class="py-lineno">648</tt> <tt class="py-line"><tt class="py-docstring"> See the proj documentation (http://trac.osgeo.org/proj/) for more</tt> </tt>
700		<a name="L649"></a><tt class="py-lineno">649</tt> <tt class="py-line"><tt class="py-docstring"> information about specifying ellipsoid parameters (specifically,</tt> </tt>
701		<a name="L650"></a><tt class="py-lineno">650</tt> <tt class="py-line"><tt class="py-docstring"> the chapter 'Specifying the Earth's figure' in the main Proj</tt> </tt>
702		<a name="L651"></a><tt class="py-lineno">651</tt> <tt class="py-line"><tt class="py-docstring"> users manual).</tt> </tt>
	485	<a name="L434"></a><tt class="py-lineno">434</tt> <tt class="py-line"><tt class="py-docstring"> x,y and z can be numpy or regular python arrays, python</tt> </tt>
	486	<a name="L435"></a><tt class="py-lineno">435</tt> <tt class="py-line"><tt class="py-docstring"> lists/tuples or scalars. Arrays are fastest. For projections in</tt> </tt>
	487	<a name="L436"></a><tt class="py-lineno">436</tt> <tt class="py-line"><tt class="py-docstring"> geocentric coordinates, values of x and y are given in meters.</tt> </tt>
	488	<a name="L437"></a><tt class="py-lineno">437</tt> <tt class="py-line"><tt class="py-docstring"> z is always meters.</tt> </tt>
	489	<a name="L438"></a><tt class="py-lineno">438</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	490	<a name="L439"></a><tt class="py-lineno">439</tt> <tt class="py-line"><tt class="py-docstring"> Example usage:</tt> </tt>
	491	<a name="L440"></a><tt class="py-lineno">440</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	492	<a name="L441"></a><tt class="py-lineno">441</tt> <tt class="py-line"><tt class="py-docstring"> >>> # projection 1: UTM zone 15, grs80 ellipse, NAD83 datum</tt> </tt>
	493	<a name="L442"></a><tt class="py-lineno">442</tt> <tt class="py-line"><tt class="py-docstring"> >>> # (defined by epsg code 26915)</tt> </tt>
	494	<a name="L443"></a><tt class="py-lineno">443</tt> <tt class="py-line"><tt class="py-docstring"> >>> p1 = Proj(init='epsg:26915')</tt> </tt>
	495	<a name="L444"></a><tt class="py-lineno">444</tt> <tt class="py-line"><tt class="py-docstring"> >>> # projection 2: UTM zone 15, clrk66 ellipse, NAD27 datum</tt> </tt>
	496	<a name="L445"></a><tt class="py-lineno">445</tt> <tt class="py-line"><tt class="py-docstring"> >>> p2 = Proj(init='epsg:26715')</tt> </tt>
	497	<a name="L446"></a><tt class="py-lineno">446</tt> <tt class="py-line"><tt class="py-docstring"> >>> # find x,y of Jefferson City, MO.</tt> </tt>
	498	<a name="L447"></a><tt class="py-lineno">447</tt> <tt class="py-line"><tt class="py-docstring"> >>> x1, y1 = p1(-92.199881,38.56694)</tt> </tt>
	499	<a name="L448"></a><tt class="py-lineno">448</tt> <tt class="py-line"><tt class="py-docstring"> >>> # transform this point to projection 2 coordinates.</tt> </tt>
	500	<a name="L449"></a><tt class="py-lineno">449</tt> <tt class="py-line"><tt class="py-docstring"> >>> x2, y2 = transform(p1,p2,x1,y1)</tt> </tt>
	501	<a name="L450"></a><tt class="py-lineno">450</tt> <tt class="py-line"><tt class="py-docstring"> >>> '%9.3f %11.3f' % (x1,y1)</tt> </tt>
	502	<a name="L451"></a><tt class="py-lineno">451</tt> <tt class="py-line"><tt class="py-docstring"> '569704.566 4269024.671'</tt> </tt>
	503	<a name="L452"></a><tt class="py-lineno">452</tt> <tt class="py-line"><tt class="py-docstring"> >>> '%9.3f %11.3f' % (x2,y2)</tt> </tt>
	504	<a name="L453"></a><tt class="py-lineno">453</tt> <tt class="py-line"><tt class="py-docstring"> '569722.342 4268814.027'</tt> </tt>
	505	<a name="L454"></a><tt class="py-lineno">454</tt> <tt class="py-line"><tt class="py-docstring"> >>> '%8.3f %5.3f' % p2(x2,y2,inverse=True)</tt> </tt>
	506	<a name="L455"></a><tt class="py-lineno">455</tt> <tt class="py-line"><tt class="py-docstring"> ' -92.200 38.567'</tt> </tt>
	507	<a name="L456"></a><tt class="py-lineno">456</tt> <tt class="py-line"><tt class="py-docstring"> >>> # process 3 points at a time in a tuple</tt> </tt>
	508	<a name="L457"></a><tt class="py-lineno">457</tt> <tt class="py-line"><tt class="py-docstring"> >>> lats = (38.83,39.32,38.75) # Columbia, KC and StL Missouri</tt> </tt>
	509	<a name="L458"></a><tt class="py-lineno">458</tt> <tt class="py-line"><tt class="py-docstring"> >>> lons = (-92.22,-94.72,-90.37)</tt> </tt>
	510	<a name="L459"></a><tt class="py-lineno">459</tt> <tt class="py-line"><tt class="py-docstring"> >>> x1, y1 = p1(lons,lats)</tt> </tt>
	511	<a name="L460"></a><tt class="py-lineno">460</tt> <tt class="py-line"><tt class="py-docstring"> >>> x2, y2 = transform(p1,p2,x1,y1)</tt> </tt>
	512	<a name="L461"></a><tt class="py-lineno">461</tt> <tt class="py-line"><tt class="py-docstring"> >>> xy = x1+y1</tt> </tt>
	513	<a name="L462"></a><tt class="py-lineno">462</tt> <tt class="py-line"><tt class="py-docstring"> >>> '%9.3f %9.3f %9.3f %11.3f %11.3f %11.3f' % xy</tt> </tt>
	514	<a name="L463"></a><tt class="py-lineno">463</tt> <tt class="py-line"><tt class="py-docstring"> '567703.344 351730.944 728553.093 4298200.739 4353698.725 4292319.005'</tt> </tt>
	515	<a name="L464"></a><tt class="py-lineno">464</tt> <tt class="py-line"><tt class="py-docstring"> >>> xy = x2+y2</tt> </tt>
	516	<a name="L465"></a><tt class="py-lineno">465</tt> <tt class="py-line"><tt class="py-docstring"> >>> '%9.3f %9.3f %9.3f %11.3f %11.3f %11.3f' % xy</tt> </tt>
	517	<a name="L466"></a><tt class="py-lineno">466</tt> <tt class="py-line"><tt class="py-docstring"> '567721.149 351747.558 728569.133 4297989.112 4353489.644 4292106.305'</tt> </tt>
	518	<a name="L467"></a><tt class="py-lineno">467</tt> <tt class="py-line"><tt class="py-docstring"> >>> lons, lats = p2(x2,y2,inverse=True)</tt> </tt>
	519	<a name="L468"></a><tt class="py-lineno">468</tt> <tt class="py-line"><tt class="py-docstring"> >>> xy = lons+lats</tt> </tt>
	520	<a name="L469"></a><tt class="py-lineno">469</tt> <tt class="py-line"><tt class="py-docstring"> >>> '%8.3f %8.3f %8.3f %5.3f %5.3f %5.3f' % xy</tt> </tt>
	521	<a name="L470"></a><tt class="py-lineno">470</tt> <tt class="py-line"><tt class="py-docstring"> ' -92.220 -94.720 -90.370 38.830 39.320 38.750'</tt> </tt>
	522	<a name="L471"></a><tt class="py-lineno">471</tt> <tt class="py-line"><tt class="py-docstring"> >>> # test datum shifting, installation of extra datum grid files.</tt> </tt>
	523	<a name="L472"></a><tt class="py-lineno">472</tt> <tt class="py-line"><tt class="py-docstring"> >>> p1 = Proj(proj='latlong',datum='WGS84')</tt> </tt>
	524	<a name="L473"></a><tt class="py-lineno">473</tt> <tt class="py-line"><tt class="py-docstring"> >>> x1 = -111.5; y1 = 45.25919444444</tt> </tt>
	525	<a name="L474"></a><tt class="py-lineno">474</tt> <tt class="py-line"><tt class="py-docstring"> >>> p2 = Proj(proj="utm",zone=10,datum='NAD27')</tt> </tt>
	526	<a name="L475"></a><tt class="py-lineno">475</tt> <tt class="py-line"><tt class="py-docstring"> >>> x2, y2 = transform(p1, p2, x1, y1)</tt> </tt>
	527	<a name="L476"></a><tt class="py-lineno">476</tt> <tt class="py-line"><tt class="py-docstring"> >>> "%12.3f %12.3f" % (x2,y2)</tt> </tt>
	528	<a name="L477"></a><tt class="py-lineno">477</tt> <tt class="py-line"><tt class="py-docstring"> ' 1402285.991 5076292.423'</tt> </tt>
	529	<a name="L478"></a><tt class="py-lineno">478</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
	530	<a name="L479"></a><tt class="py-lineno">479</tt> <tt class="py-line"> <tt class="py-comment"># process inputs, making copies that support buffer API.</tt> </tt>
	531	<a name="L480"></a><tt class="py-lineno">480</tt> <tt class="py-line"> <tt class="py-name">inx</tt><tt class="py-op">,</tt> <tt class="py-name">xisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">xislist</tt><tt class="py-op">,</tt> <tt class="py-name">xistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> </tt>
	532	<a name="L481"></a><tt class="py-lineno">481</tt> <tt class="py-line"> <tt class="py-name">iny</tt><tt class="py-op">,</tt> <tt class="py-name">yisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">yislist</tt><tt class="py-op">,</tt> <tt class="py-name">yistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">y</tt><tt class="py-op">)</tt> </tt>
	533	<a name="L482"></a><tt class="py-lineno">482</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">z</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
	534	<a name="L483"></a><tt class="py-lineno">483</tt> <tt class="py-line"> <tt class="py-name">inz</tt><tt class="py-op">,</tt> <tt class="py-name">zisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">zislist</tt><tt class="py-op">,</tt> <tt class="py-name">zistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">z</tt><tt class="py-op">)</tt> </tt>
	535	<a name="L484"></a><tt class="py-lineno">484</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
	536	<a name="L485"></a><tt class="py-lineno">485</tt> <tt class="py-line"> <tt class="py-name">inz</tt> <tt class="py-op">=</tt> <tt class="py-name">None</tt> </tt>
	537	<a name="L486"></a><tt class="py-lineno">486</tt> <tt class="py-line"> <tt class="py-comment"># call pj_transform. inx,iny,inz buffers modified in place.</tt> </tt>
	538	<a name="L487"></a><tt class="py-lineno">487</tt> <tt class="py-line"> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt class="py-name">_transform</tt><tt class="py-op">(</tt><tt class="py-name">p1</tt><tt class="py-op">,</tt><tt class="py-name">p2</tt><tt class="py-op">,</tt><tt class="py-name">inx</tt><tt class="py-op">,</tt><tt class="py-name">iny</tt><tt class="py-op">,</tt><tt class="py-name">inz</tt><tt class="py-op">,</tt><tt class="py-name">radians</tt><tt class="py-op">)</tt> </tt>
	539	<a name="L488"></a><tt class="py-lineno">488</tt> <tt class="py-line"> <tt class="py-comment"># if inputs were lists, tuples or floats, convert back.</tt> </tt>
	540	<a name="L489"></a><tt class="py-lineno">489</tt> <tt class="py-line"> <tt class="py-name">outx</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">xisfloat</tt><tt class="py-op">,</tt><tt class="py-name">xislist</tt><tt class="py-op">,</tt><tt class="py-name">xistuple</tt><tt class="py-op">,</tt><tt class="py-name">inx</tt><tt class="py-op">)</tt> </tt>
	541	<a name="L490"></a><tt class="py-lineno">490</tt> <tt class="py-line"> <tt class="py-name">outy</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">yisfloat</tt><tt class="py-op">,</tt><tt class="py-name">yislist</tt><tt class="py-op">,</tt><tt class="py-name">xistuple</tt><tt class="py-op">,</tt><tt class="py-name">iny</tt><tt class="py-op">)</tt> </tt>
	542	<a name="L491"></a><tt class="py-lineno">491</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">inz</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
	543	<a name="L492"></a><tt class="py-lineno">492</tt> <tt class="py-line"> <tt class="py-name">outz</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">zisfloat</tt><tt class="py-op">,</tt><tt class="py-name">zislist</tt><tt class="py-op">,</tt><tt class="py-name">zistuple</tt><tt class="py-op">,</tt><tt class="py-name">inz</tt><tt class="py-op">)</tt> </tt>
	544	<a name="L493"></a><tt class="py-lineno">493</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">outx</tt><tt class="py-op">,</tt> <tt class="py-name">outy</tt><tt class="py-op">,</tt> <tt class="py-name">outz</tt> </tt>
	545	<a name="L494"></a><tt class="py-lineno">494</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
	546	<a name="L495"></a><tt class="py-lineno">495</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">outx</tt><tt class="py-op">,</tt> <tt class="py-name">outy</tt> </tt>
	547	</div><a name="L496"></a><tt class="py-lineno">496</tt> <tt class="py-line"> </tt>
	548	<a name="_copytobuffer_return_scalar"></a><div id="_copytobuffer_return_scalar-def"><a name="L497"></a><tt class="py-lineno">497</tt> <a class="py-toggle" href="#" id="_copytobuffer_return_scalar-toggle" onclick="return toggle('_copytobuffer_return_scalar');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj-module.html#_copytobuffer_return_scalar">_copytobuffer_return_scalar</a><tt class="py-op">(</tt><tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	549	</div><div id="_copytobuffer_return_scalar-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="_copytobuffer_return_scalar-expanded"><a name="L498"></a><tt class="py-lineno">498</tt> <tt class="py-line"> <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
	550	<a name="L499"></a><tt class="py-lineno">499</tt> <tt class="py-line"> <tt class="py-comment"># inx,isfloat,islist,istuple</tt> </tt>
	551	<a name="L500"></a><tt class="py-lineno">500</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-string">'d'</tt><tt class="py-op">,</tt><tt class="py-op">(</tt><tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">,</tt><tt class="py-name">True</tt><tt class="py-op">,</tt><tt class="py-name">False</tt><tt class="py-op">,</tt><tt class="py-name">False</tt> </tt>
	552	<a name="L501"></a><tt class="py-lineno">501</tt> <tt class="py-line"> <tt class="py-keyword">except</tt><tt class="py-op">:</tt> </tt>
	553	<a name="L502"></a><tt class="py-lineno">502</tt> <tt class="py-line"> <tt class="py-keyword">raise</tt> <tt class="py-name">TypeError</tt><tt class="py-op">(</tt><tt class="py-string">'input must be an array, list, tuple or scalar'</tt><tt class="py-op">)</tt> </tt>
	554	</div><a name="L503"></a><tt class="py-lineno">503</tt> <tt class="py-line"> </tt>
	555	<a name="_copytobuffer"></a><div id="_copytobuffer-def"><a name="L504"></a><tt class="py-lineno">504</tt> <a class="py-toggle" href="#" id="_copytobuffer-toggle" onclick="return toggle('_copytobuffer');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj-module.html#_copytobuffer">_copytobuffer</a><tt class="py-op">(</tt><tt class="py-param">x</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	556	</div><div id="_copytobuffer-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="_copytobuffer-expanded"><a name="L505"></a><tt class="py-lineno">505</tt> <tt class="py-line"> <tt class="py-docstring">"""</tt> </tt>
	557	<a name="L506"></a><tt class="py-lineno">506</tt> <tt class="py-line"><tt class="py-docstring"> return a copy of x as an object that supports the python Buffer</tt> </tt>
	558	<a name="L507"></a><tt class="py-lineno">507</tt> <tt class="py-line"><tt class="py-docstring"> API (python array if input is float, list or tuple, numpy array</tt> </tt>
	559	<a name="L508"></a><tt class="py-lineno">508</tt> <tt class="py-line"><tt class="py-docstring"> if input is a numpy array). returns copyofx, isfloat, islist,</tt> </tt>
	560	<a name="L509"></a><tt class="py-lineno">509</tt> <tt class="py-line"><tt class="py-docstring"> istuple (islist is True if input is a list, istuple is true if</tt> </tt>
	561	<a name="L510"></a><tt class="py-lineno">510</tt> <tt class="py-line"><tt class="py-docstring"> input is a tuple, isfloat is true if input is a float).</tt> </tt>
	562	<a name="L511"></a><tt class="py-lineno">511</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
	563	<a name="L512"></a><tt class="py-lineno">512</tt> <tt class="py-line"> <tt class="py-comment"># make sure x supports Buffer API and contains doubles.</tt> </tt>
	564	<a name="L513"></a><tt class="py-lineno">513</tt> <tt class="py-line"> <tt class="py-name">isfloat</tt> <tt class="py-op">=</tt> <tt class="py-name">False</tt><tt class="py-op">;</tt> <tt class="py-name">islist</tt> <tt class="py-op">=</tt> <tt class="py-name">False</tt><tt class="py-op">;</tt> <tt class="py-name">istuple</tt> <tt class="py-op">=</tt> <tt class="py-name">False</tt> </tt>
	565	<a name="L514"></a><tt class="py-lineno">514</tt> <tt class="py-line"> <tt class="py-comment"># first, if it's a numpy array scalar convert to float</tt> </tt>
	566	<a name="L515"></a><tt class="py-lineno">515</tt> <tt class="py-line"> <tt class="py-comment"># (array scalars don't support buffer API)</tt> </tt>
	567	<a name="L516"></a><tt class="py-lineno">516</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">hasattr</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">,</tt><tt class="py-string">'shape'</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	568	<a name="L517"></a><tt class="py-lineno">517</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">x</tt><tt class="py-op">.</tt><tt class="py-name">shape</tt> <tt class="py-op">==</tt> <tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	569	<a name="L518"></a><tt class="py-lineno">518</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">_copytobuffer_return_scalar</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> </tt>
	570	<a name="L519"></a><tt class="py-lineno">519</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
	571	<a name="L520"></a><tt class="py-lineno">520</tt> <tt class="py-line"> <tt class="py-keyword">try</tt><tt class="py-op">:</tt> </tt>
	572	<a name="L521"></a><tt class="py-lineno">521</tt> <tt class="py-line"> <tt class="py-comment"># typecast numpy arrays to double.</tt> </tt>
	573	<a name="L522"></a><tt class="py-lineno">522</tt> <tt class="py-line"> <tt class="py-comment"># (this makes a copy - which is crucial</tt> </tt>
	574	<a name="L523"></a><tt class="py-lineno">523</tt> <tt class="py-line"> <tt class="py-comment"># since buffer is modified in place)</tt> </tt>
	575	<a name="L524"></a><tt class="py-lineno">524</tt> <tt class="py-line"> <tt class="py-name">x</tt><tt class="py-op">.</tt><tt class="py-name">dtype</tt><tt class="py-op">.</tt><tt class="py-name">char</tt> </tt>
	576	<a name="L525"></a><tt class="py-lineno">525</tt> <tt class="py-line"> <tt class="py-name">inx</tt> <tt class="py-op">=</tt> <tt class="py-name">x</tt><tt class="py-op">.</tt><tt class="py-name">astype</tt><tt class="py-op">(</tt><tt class="py-string">'d'</tt><tt class="py-op">)</tt> </tt>
	577	<a name="L526"></a><tt class="py-lineno">526</tt> <tt class="py-line"> <tt class="py-comment"># inx,isfloat,islist,istuple</tt> </tt>
	578	<a name="L527"></a><tt class="py-lineno">527</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">inx</tt><tt class="py-op">,</tt><tt class="py-name">False</tt><tt class="py-op">,</tt><tt class="py-name">False</tt><tt class="py-op">,</tt><tt class="py-name">False</tt> </tt>
	579	<a name="L528"></a><tt class="py-lineno">528</tt> <tt class="py-line"> <tt class="py-keyword">except</tt><tt class="py-op">:</tt> </tt>
	580	<a name="L529"></a><tt class="py-lineno">529</tt> <tt class="py-line"> <tt class="py-keyword">try</tt><tt class="py-op">:</tt> <tt class="py-comment"># perhaps they are Numeric/numarrays?</tt> </tt>
	581	<a name="L530"></a><tt class="py-lineno">530</tt> <tt class="py-line"> <tt class="py-comment"># sorry, not tested yet.</tt> </tt>
	582	<a name="L531"></a><tt class="py-lineno">531</tt> <tt class="py-line"> <tt class="py-comment"># i don't know Numeric/numarrays has `shape'.</tt> </tt>
	583	<a name="L532"></a><tt class="py-lineno">532</tt> <tt class="py-line"> <tt class="py-name">x</tt><tt class="py-op">.</tt><tt class="py-name">typecode</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
	584	<a name="L533"></a><tt class="py-lineno">533</tt> <tt class="py-line"> <tt class="py-name">inx</tt> <tt class="py-op">=</tt> <tt class="py-name">x</tt><tt class="py-op">.</tt><tt class="py-name">astype</tt><tt class="py-op">(</tt><tt class="py-string">'d'</tt><tt class="py-op">)</tt> </tt>
	585	<a name="L534"></a><tt class="py-lineno">534</tt> <tt class="py-line"> <tt class="py-comment"># inx,isfloat,islist,istuple</tt> </tt>
	586	<a name="L535"></a><tt class="py-lineno">535</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">inx</tt><tt class="py-op">,</tt><tt class="py-name">False</tt><tt class="py-op">,</tt><tt class="py-name">False</tt><tt class="py-op">,</tt><tt class="py-name">False</tt> </tt>
	587	<a name="L536"></a><tt class="py-lineno">536</tt> <tt class="py-line"> <tt class="py-keyword">except</tt><tt class="py-op">:</tt> </tt>
	588	<a name="L537"></a><tt class="py-lineno">537</tt> <tt class="py-line"> <tt class="py-keyword">raise</tt> <tt class="py-name">TypeError</tt><tt class="py-op">(</tt><tt class="py-string">'input must be an array, list, tuple or scalar'</tt><tt class="py-op">)</tt> </tt>
	589	<a name="L538"></a><tt class="py-lineno">538</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
	590	<a name="L539"></a><tt class="py-lineno">539</tt> <tt class="py-line"> <tt class="py-comment"># perhaps they are regular python arrays?</tt> </tt>
	591	<a name="L540"></a><tt class="py-lineno">540</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">hasattr</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">,</tt> <tt class="py-string">'typecode'</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	592	<a name="L541"></a><tt class="py-lineno">541</tt> <tt class="py-line"> <tt class="py-comment">#x.typecode</tt> </tt>
	593	<a name="L542"></a><tt class="py-lineno">542</tt> <tt class="py-line"> <tt class="py-name">inx</tt> <tt class="py-op">=</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-string">'d'</tt><tt class="py-op">,</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> </tt>
	594	<a name="L543"></a><tt class="py-lineno">543</tt> <tt class="py-line"> <tt class="py-comment"># try to convert to python array</tt> </tt>
	595	<a name="L544"></a><tt class="py-lineno">544</tt> <tt class="py-line"> <tt class="py-comment"># a list.</tt> </tt>
	596	<a name="L545"></a><tt class="py-lineno">545</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-name">type</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-name">list</tt><tt class="py-op">:</tt> </tt>
	597	<a name="L546"></a><tt class="py-lineno">546</tt> <tt class="py-line"> <tt class="py-name">inx</tt> <tt class="py-op">=</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-string">'d'</tt><tt class="py-op">,</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> </tt>
	598	<a name="L547"></a><tt class="py-lineno">547</tt> <tt class="py-line"> <tt class="py-name">islist</tt> <tt class="py-op">=</tt> <tt class="py-name">True</tt> </tt>
	599	<a name="L548"></a><tt class="py-lineno">548</tt> <tt class="py-line"> <tt class="py-comment"># a tuple.</tt> </tt>
	600	<a name="L549"></a><tt class="py-lineno">549</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-name">type</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> <tt class="py-op">==</tt> <tt class="py-name">tuple</tt><tt class="py-op">:</tt> </tt>
	601	<a name="L550"></a><tt class="py-lineno">550</tt> <tt class="py-line"> <tt class="py-name">inx</tt> <tt class="py-op">=</tt> <tt class="py-name">array</tt><tt class="py-op">(</tt><tt class="py-string">'d'</tt><tt class="py-op">,</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> </tt>
	602	<a name="L551"></a><tt class="py-lineno">551</tt> <tt class="py-line"> <tt class="py-name">istuple</tt> <tt class="py-op">=</tt> <tt class="py-name">True</tt> </tt>
	603	<a name="L552"></a><tt class="py-lineno">552</tt> <tt class="py-line"> <tt class="py-comment"># a scalar?</tt> </tt>
	604	<a name="L553"></a><tt class="py-lineno">553</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
	605	<a name="L554"></a><tt class="py-lineno">554</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">_copytobuffer_return_scalar</tt><tt class="py-op">(</tt><tt class="py-name">x</tt><tt class="py-op">)</tt> </tt>
	606	<a name="L555"></a><tt class="py-lineno">555</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">inx</tt><tt class="py-op">,</tt><tt class="py-name">isfloat</tt><tt class="py-op">,</tt><tt class="py-name">islist</tt><tt class="py-op">,</tt><tt class="py-name">istuple</tt> </tt>
	607	</div><a name="L556"></a><tt class="py-lineno">556</tt> <tt class="py-line"> </tt>
	608	<a name="_convertback"></a><div id="_convertback-def"><a name="L557"></a><tt class="py-lineno">557</tt> <a class="py-toggle" href="#" id="_convertback-toggle" onclick="return toggle('_convertback');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj-module.html#_convertback">_convertback</a><tt class="py-op">(</tt><tt class="py-param">isfloat</tt><tt class="py-op">,</tt><tt class="py-param">islist</tt><tt class="py-op">,</tt><tt class="py-param">istuple</tt><tt class="py-op">,</tt><tt class="py-param">inx</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	609	</div><div id="_convertback-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="_convertback-expanded"><a name="L558"></a><tt class="py-lineno">558</tt> <tt class="py-line"> <tt class="py-comment"># if inputs were lists, tuples or floats, convert back to original type.</tt> </tt>
	610	<a name="L559"></a><tt class="py-lineno">559</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">isfloat</tt><tt class="py-op">:</tt> </tt>
	611	<a name="L560"></a><tt class="py-lineno">560</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">inx</tt><tt class="py-op">[</tt><tt class="py-number">0</tt><tt class="py-op">]</tt> </tt>
	612	<a name="L561"></a><tt class="py-lineno">561</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-name">islist</tt><tt class="py-op">:</tt> </tt>
	613	<a name="L562"></a><tt class="py-lineno">562</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">inx</tt><tt class="py-op">.</tt><tt class="py-name">tolist</tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
	614	<a name="L563"></a><tt class="py-lineno">563</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-name">istuple</tt><tt class="py-op">:</tt> </tt>
	615	<a name="L564"></a><tt class="py-lineno">564</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">tuple</tt><tt class="py-op">(</tt><tt class="py-name">inx</tt><tt class="py-op">)</tt> </tt>
	616	<a name="L565"></a><tt class="py-lineno">565</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
	617	<a name="L566"></a><tt class="py-lineno">566</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">inx</tt> </tt>
	618	</div><a name="L567"></a><tt class="py-lineno">567</tt> <tt class="py-line"> </tt>
	619	<a name="_dict2string"></a><div id="_dict2string-def"><a name="L568"></a><tt class="py-lineno">568</tt> <a class="py-toggle" href="#" id="_dict2string-toggle" onclick="return toggle('_dict2string');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj-module.html#_dict2string">_dict2string</a><tt class="py-op">(</tt><tt class="py-param">projparams</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	620	</div><div id="_dict2string-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="_dict2string-expanded"><a name="L569"></a><tt class="py-lineno">569</tt> <tt class="py-line"> <tt class="py-comment"># convert a dict to a proj4 string.</tt> </tt>
	621	<a name="L570"></a><tt class="py-lineno">570</tt> <tt class="py-line"> <tt class="py-name">pjargs</tt> <tt class="py-op">=</tt> <tt class="py-op">[</tt><tt class="py-op">]</tt> </tt>
	622	<a name="L571"></a><tt class="py-lineno">571</tt> <tt class="py-line"> <tt class="py-keyword">for</tt> <tt class="py-name">key</tt><tt class="py-op">,</tt><tt class="py-name">value</tt> <tt class="py-keyword">in</tt> <tt class="py-name">projparams</tt><tt class="py-op">.</tt><tt class="py-name">items</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	623	<a name="L572"></a><tt class="py-lineno">572</tt> <tt class="py-line"> <tt class="py-name">pjargs</tt><tt class="py-op">.</tt><tt class="py-name">append</tt><tt class="py-op">(</tt><tt class="py-string">'+'</tt><tt class="py-op">+</tt><tt class="py-name">key</tt><tt class="py-op">+</tt><tt class="py-string">"="</tt><tt class="py-op">+</tt><tt class="py-name">str</tt><tt class="py-op">(</tt><tt class="py-name">value</tt><tt class="py-op">)</tt><tt class="py-op">+</tt><tt class="py-string">' '</tt><tt class="py-op">)</tt> </tt>
	624	<a name="L573"></a><tt class="py-lineno">573</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-string">''</tt><tt class="py-op">.</tt><tt class="py-name">join</tt><tt class="py-op">(</tt><tt class="py-name">pjargs</tt><tt class="py-op">)</tt> </tt>
	625	</div><a name="L574"></a><tt class="py-lineno">574</tt> <tt class="py-line"> </tt>
	626	<a name="Geod"></a><div id="Geod-def"><a name="L575"></a><tt class="py-lineno">575</tt> <a class="py-toggle" href="#" id="Geod-toggle" onclick="return toggle('Geod');">-</a><tt class="py-line"><tt class="py-keyword">class</tt> <a class="py-def-name" href="pyproj.Geod-class.html">Geod</a><tt class="py-op">(</tt><tt class="py-base-class">_proj</tt><tt class="py-op">.</tt><tt class="py-base-class">Geod</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	627	</div><div id="Geod-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="Geod-expanded"><a name="L576"></a><tt class="py-lineno">576</tt> <tt class="py-line"> <tt class="py-docstring">"""</tt> </tt>
	628	<a name="L577"></a><tt class="py-lineno">577</tt> <tt class="py-line"><tt class="py-docstring"> performs forward and inverse geodetic, or Great Circle,</tt> </tt>
	629	<a name="L578"></a><tt class="py-lineno">578</tt> <tt class="py-line"><tt class="py-docstring"> computations. The forward computation (using the 'fwd' method)</tt> </tt>
	630	<a name="L579"></a><tt class="py-lineno">579</tt> <tt class="py-line"><tt class="py-docstring"> involves determining latitude, longitude and back azimuth of a</tt> </tt>
	631	<a name="L580"></a><tt class="py-lineno">580</tt> <tt class="py-line"><tt class="py-docstring"> computations. The forward computation (using the 'fwd' method)</tt> </tt>
	632	<a name="L581"></a><tt class="py-lineno">581</tt> <tt class="py-line"><tt class="py-docstring"> involves determining latitude, longitude and back azimuth of a</tt> </tt>
	633	<a name="L582"></a><tt class="py-lineno">582</tt> <tt class="py-line"><tt class="py-docstring"> terminus point given the latitude and longitude of an initial</tt> </tt>
	634	<a name="L583"></a><tt class="py-lineno">583</tt> <tt class="py-line"><tt class="py-docstring"> point, plus azimuth and distance. The inverse computation (using</tt> </tt>
	635	<a name="L584"></a><tt class="py-lineno">584</tt> <tt class="py-line"><tt class="py-docstring"> the 'inv' method) involves determining the forward and back</tt> </tt>
	636	<a name="L585"></a><tt class="py-lineno">585</tt> <tt class="py-line"><tt class="py-docstring"> azimuths and distance given the latitudes and longitudes of an</tt> </tt>
	637	<a name="L586"></a><tt class="py-lineno">586</tt> <tt class="py-line"><tt class="py-docstring"> initial and terminus point.</tt> </tt>
	638	<a name="L587"></a><tt class="py-lineno">587</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
	639	<a name="Geod.__new__"></a><div id="Geod.__new__-def"><a name="L588"></a><tt class="py-lineno">588</tt> <a class="py-toggle" href="#" id="Geod.__new__-toggle" onclick="return toggle('Geod.__new__');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj.Geod-class.html#__new__">__new__</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">initstring</tt><tt class="py-op">=</tt><tt class="py-name">None</tt><tt class="py-op">,</tt> <tt class="py-op">**</tt><tt class="py-param">kwargs</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	640	</div><div id="Geod.__new__-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Geod.__new__-expanded"><a name="L589"></a><tt class="py-lineno">589</tt> <tt class="py-line"> <tt class="py-docstring">"""</tt> </tt>
	641	<a name="L590"></a><tt class="py-lineno">590</tt> <tt class="py-line"><tt class="py-docstring"> initialize a Geod class instance.</tt> </tt>
	642	<a name="L591"></a><tt class="py-lineno">591</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	643	<a name="L592"></a><tt class="py-lineno">592</tt> <tt class="py-line"><tt class="py-docstring"> Geodetic parameters for specifying the ellipsoid</tt> </tt>
	644	<a name="L593"></a><tt class="py-lineno">593</tt> <tt class="py-line"><tt class="py-docstring"> can be given in a dictionary 'initparams', as keyword arguments,</tt> </tt>
	645	<a name="L594"></a><tt class="py-lineno">594</tt> <tt class="py-line"><tt class="py-docstring"> or as as proj4 geod initialization string.</tt> </tt>
	646	<a name="L595"></a><tt class="py-lineno">595</tt> <tt class="py-line"><tt class="py-docstring"> Following is a list of the ellipsoids that may be defined using the</tt> </tt>
	647	<a name="L596"></a><tt class="py-lineno">596</tt> <tt class="py-line"><tt class="py-docstring"> 'ellps' keyword (these are stored in the model variable pj_ellps)::</tt> </tt>
	648	<a name="L597"></a><tt class="py-lineno">597</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	649	<a name="L598"></a><tt class="py-lineno">598</tt> <tt class="py-line"><tt class="py-docstring"> MERIT a=6378137.0 rf=298.257 MERIT 1983</tt> </tt>
	650	<a name="L599"></a><tt class="py-lineno">599</tt> <tt class="py-line"><tt class="py-docstring"> SGS85 a=6378136.0 rf=298.257 Soviet Geodetic System 85</tt> </tt>
	651	<a name="L600"></a><tt class="py-lineno">600</tt> <tt class="py-line"><tt class="py-docstring"> GRS80 a=6378137.0 rf=298.257222101 GRS 1980(IUGG, 1980)</tt> </tt>
	652	<a name="L601"></a><tt class="py-lineno">601</tt> <tt class="py-line"><tt class="py-docstring"> IAU76 a=6378140.0 rf=298.257 IAU 1976</tt> </tt>
	653	<a name="L602"></a><tt class="py-lineno">602</tt> <tt class="py-line"><tt class="py-docstring"> airy a=6377563.396 b=6356256.910 Airy 1830</tt> </tt>
	654	<a name="L603"></a><tt class="py-lineno">603</tt> <tt class="py-line"><tt class="py-docstring"> APL4.9 a=6378137.0. rf=298.25 Appl. Physics. 1965</tt> </tt>
	655	<a name="L604"></a><tt class="py-lineno">604</tt> <tt class="py-line"><tt class="py-docstring"> airy a=6377563.396 b=6356256.910 Airy 1830</tt> </tt>
	656	<a name="L605"></a><tt class="py-lineno">605</tt> <tt class="py-line"><tt class="py-docstring"> APL4.9 a=6378137.0. rf=298.25 Appl. Physics. 1965</tt> </tt>
	657	<a name="L606"></a><tt class="py-lineno">606</tt> <tt class="py-line"><tt class="py-docstring"> NWL9D a=6378145.0. rf=298.25 Naval Weapons Lab., 1965</tt> </tt>
	658	<a name="L607"></a><tt class="py-lineno">607</tt> <tt class="py-line"><tt class="py-docstring"> mod_airy a=6377340.189 b=6356034.446 Modified Airy</tt> </tt>
	659	<a name="L608"></a><tt class="py-lineno">608</tt> <tt class="py-line"><tt class="py-docstring"> andrae a=6377104.43 rf=300.0 Andrae 1876 (Den., Iclnd.)</tt> </tt>
	660	<a name="L609"></a><tt class="py-lineno">609</tt> <tt class="py-line"><tt class="py-docstring"> aust_SA a=6378160.0 rf=298.25 Australian Natl & S. Amer. 1969</tt> </tt>
	661	<a name="L610"></a><tt class="py-lineno">610</tt> <tt class="py-line"><tt class="py-docstring"> GRS67 a=6378160.0 rf=298.247167427 GRS 67(IUGG 1967)</tt> </tt>
	662	<a name="L611"></a><tt class="py-lineno">611</tt> <tt class="py-line"><tt class="py-docstring"> bessel a=6377397.155 rf=299.1528128 Bessel 1841</tt> </tt>
	663	<a name="L612"></a><tt class="py-lineno">612</tt> <tt class="py-line"><tt class="py-docstring"> bess_nam a=6377483.865 rf=299.1528128 Bessel 1841 (Namibia)</tt> </tt>
	664	<a name="L613"></a><tt class="py-lineno">613</tt> <tt class="py-line"><tt class="py-docstring"> clrk66 a=6378206.4 b=6356583.8 Clarke 1866</tt> </tt>
	665	<a name="L614"></a><tt class="py-lineno">614</tt> <tt class="py-line"><tt class="py-docstring"> clrk80 a=6378249.145 rf=293.4663 Clarke 1880 mod.</tt> </tt>
	666	<a name="L615"></a><tt class="py-lineno">615</tt> <tt class="py-line"><tt class="py-docstring"> CPM a=6375738.7 rf=334.29 Comm. des Poids et Mesures 1799</tt> </tt>
	667	<a name="L616"></a><tt class="py-lineno">616</tt> <tt class="py-line"><tt class="py-docstring"> delmbr a=6376428. rf=311.5 Delambre 1810 (Belgium)</tt> </tt>
	668	<a name="L617"></a><tt class="py-lineno">617</tt> <tt class="py-line"><tt class="py-docstring"> engelis a=6378136.05 rf=298.2566 Engelis 1985</tt> </tt>
	669	<a name="L618"></a><tt class="py-lineno">618</tt> <tt class="py-line"><tt class="py-docstring"> evrst30 a=6377276.345 rf=300.8017 Everest 1830</tt> </tt>
	670	<a name="L619"></a><tt class="py-lineno">619</tt> <tt class="py-line"><tt class="py-docstring"> evrst48 a=6377304.063 rf=300.8017 Everest 1948</tt> </tt>
	671	<a name="L620"></a><tt class="py-lineno">620</tt> <tt class="py-line"><tt class="py-docstring"> evrst56 a=6377301.243 rf=300.8017 Everest 1956</tt> </tt>
	672	<a name="L621"></a><tt class="py-lineno">621</tt> <tt class="py-line"><tt class="py-docstring"> evrst69 a=6377295.664 rf=300.8017 Everest 1969</tt> </tt>
	673	<a name="L622"></a><tt class="py-lineno">622</tt> <tt class="py-line"><tt class="py-docstring"> evrstSS a=6377298.556 rf=300.8017 Everest (Sabah & Sarawak)</tt> </tt>
	674	<a name="L623"></a><tt class="py-lineno">623</tt> <tt class="py-line"><tt class="py-docstring"> fschr60 a=6378166. rf=298.3 Fischer (Mercury Datum) 1960</tt> </tt>
	675	<a name="L624"></a><tt class="py-lineno">624</tt> <tt class="py-line"><tt class="py-docstring"> fschr60m a=6378155. rf=298.3 Modified Fischer 1960</tt> </tt>
	676	<a name="L625"></a><tt class="py-lineno">625</tt> <tt class="py-line"><tt class="py-docstring"> fschr68 a=6378150. rf=298.3 Fischer 1968</tt> </tt>
	677	<a name="L626"></a><tt class="py-lineno">626</tt> <tt class="py-line"><tt class="py-docstring"> helmert a=6378200. rf=298.3 Helmert 1906</tt> </tt>
	678	<a name="L627"></a><tt class="py-lineno">627</tt> <tt class="py-line"><tt class="py-docstring"> hough a=6378270.0 rf=297. Hough</tt> </tt>
	679	<a name="L628"></a><tt class="py-lineno">628</tt> <tt class="py-line"><tt class="py-docstring"> helmert a=6378200. rf=298.3 Helmert 1906</tt> </tt>
	680	<a name="L629"></a><tt class="py-lineno">629</tt> <tt class="py-line"><tt class="py-docstring"> hough a=6378270.0 rf=297. Hough</tt> </tt>
	681	<a name="L630"></a><tt class="py-lineno">630</tt> <tt class="py-line"><tt class="py-docstring"> intl a=6378388.0 rf=297. International 1909 (Hayford)</tt> </tt>
	682	<a name="L631"></a><tt class="py-lineno">631</tt> <tt class="py-line"><tt class="py-docstring"> krass a=6378245.0 rf=298.3 Krassovsky, 1942</tt> </tt>
	683	<a name="L632"></a><tt class="py-lineno">632</tt> <tt class="py-line"><tt class="py-docstring"> kaula a=6378163. rf=298.24 Kaula 1961</tt> </tt>
	684	<a name="L633"></a><tt class="py-lineno">633</tt> <tt class="py-line"><tt class="py-docstring"> lerch a=6378139. rf=298.257 Lerch 1979</tt> </tt>
	685	<a name="L634"></a><tt class="py-lineno">634</tt> <tt class="py-line"><tt class="py-docstring"> mprts a=6397300. rf=191. Maupertius 1738</tt> </tt>
	686	<a name="L635"></a><tt class="py-lineno">635</tt> <tt class="py-line"><tt class="py-docstring"> new_intl a=6378157.5 b=6356772.2 New International 1967</tt> </tt>
	687	<a name="L636"></a><tt class="py-lineno">636</tt> <tt class="py-line"><tt class="py-docstring"> plessis a=6376523. b=6355863. Plessis 1817 (France)</tt> </tt>
	688	<a name="L637"></a><tt class="py-lineno">637</tt> <tt class="py-line"><tt class="py-docstring"> SEasia a=6378155.0 b=6356773.3205 Southeast Asia</tt> </tt>
	689	<a name="L638"></a><tt class="py-lineno">638</tt> <tt class="py-line"><tt class="py-docstring"> walbeck a=6376896.0 b=6355834.8467 Walbeck</tt> </tt>
	690	<a name="L639"></a><tt class="py-lineno">639</tt> <tt class="py-line"><tt class="py-docstring"> WGS60 a=6378165.0 rf=298.3 WGS 60</tt> </tt>
	691	<a name="L640"></a><tt class="py-lineno">640</tt> <tt class="py-line"><tt class="py-docstring"> WGS66 a=6378145.0 rf=298.25 WGS 66</tt> </tt>
	692	<a name="L641"></a><tt class="py-lineno">641</tt> <tt class="py-line"><tt class="py-docstring"> WGS72 a=6378135.0 rf=298.26 WGS 72</tt> </tt>
	693	<a name="L642"></a><tt class="py-lineno">642</tt> <tt class="py-line"><tt class="py-docstring"> WGS84 a=6378137.0 rf=298.257223563 WGS 84</tt> </tt>
	694	<a name="L643"></a><tt class="py-lineno">643</tt> <tt class="py-line"><tt class="py-docstring"> sphere a=6370997.0 b=6370997.0 Normal Sphere (r=6370997)</tt> </tt>
	695	<a name="L644"></a><tt class="py-lineno">644</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	696	<a name="L645"></a><tt class="py-lineno">645</tt> <tt class="py-line"><tt class="py-docstring"> The parameters of the ellipsoid may also be set directly using</tt> </tt>
	697	<a name="L646"></a><tt class="py-lineno">646</tt> <tt class="py-line"><tt class="py-docstring"> the 'a' (semi-major or equatorial axis radius) keyword, and</tt> </tt>
	698	<a name="L647"></a><tt class="py-lineno">647</tt> <tt class="py-line"><tt class="py-docstring"> any one of the following keywords: 'b' (semi-minor,</tt> </tt>
	699	<a name="L648"></a><tt class="py-lineno">648</tt> <tt class="py-line"><tt class="py-docstring"> or polar axis radius), 'e' (eccentricity), 'es' (eccentricity</tt> </tt>
	700	<a name="L649"></a><tt class="py-lineno">649</tt> <tt class="py-line"><tt class="py-docstring"> squared), 'f' (flattening), or 'rf' (reciprocal flattening).</tt> </tt>
	701	<a name="L650"></a><tt class="py-lineno">650</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	702	<a name="L651"></a><tt class="py-lineno">651</tt> <tt class="py-line"><tt class="py-docstring"> See the proj documentation (http://trac.osgeo.org/proj/) for more</tt> </tt>
703	703	<a name="L652"></a><tt class="py-lineno">652</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
704		<a name="L653"></a><tt class="py-lineno">653</tt> <tt class="py-line"><tt class="py-docstring"> Example usage:</tt> </tt>
705		<a name="L654"></a><tt class="py-lineno">654</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
706		<a name="L655"></a><tt class="py-lineno">655</tt> <tt class="py-line"><tt class="py-docstring"> >>> from pyproj import Geod</tt> </tt>
707		<a name="L656"></a><tt class="py-lineno">656</tt> <tt class="py-line"><tt class="py-docstring"> >>> g = Geod(ellps='clrk66') # Use Clarke 1966 ellipsoid.</tt> </tt>
708		<a name="L657"></a><tt class="py-lineno">657</tt> <tt class="py-line"><tt class="py-docstring"> >>> # specify the lat/lons of some cities.</tt> </tt>
709		<a name="L658"></a><tt class="py-lineno">658</tt> <tt class="py-line"><tt class="py-docstring"> >>> boston_lat = 42.+(15./60.); boston_lon = -71.-(7./60.)</tt> </tt>
710		<a name="L659"></a><tt class="py-lineno">659</tt> <tt class="py-line"><tt class="py-docstring"> >>> portland_lat = 45.+(31./60.); portland_lon = -123.-(41./60.)</tt> </tt>
711		<a name="L660"></a><tt class="py-lineno">660</tt> <tt class="py-line"><tt class="py-docstring"> >>> newyork_lat = 40.+(47./60.); newyork_lon = -73.-(58./60.)</tt> </tt>
712		<a name="L661"></a><tt class="py-lineno">661</tt> <tt class="py-line"><tt class="py-docstring"> >>> london_lat = 51.+(32./60.); london_lon = -(5./60.)</tt> </tt>
713		<a name="L662"></a><tt class="py-lineno">662</tt> <tt class="py-line"><tt class="py-docstring"> >>> # compute forward and back azimuths, plus distance</tt> </tt>
714		<a name="L663"></a><tt class="py-lineno">663</tt> <tt class="py-line"><tt class="py-docstring"> >>> # between Boston and Portland.</tt> </tt>
715		<a name="L664"></a><tt class="py-lineno">664</tt> <tt class="py-line"><tt class="py-docstring"> >>> az12,az21,dist = g.inv(boston_lon,boston_lat,portland_lon,portland_lat)</tt> </tt>
716		<a name="L665"></a><tt class="py-lineno">665</tt> <tt class="py-line"><tt class="py-docstring"> >>> "%7.3f %6.3f %12.3f" % (az12,az21,dist)</tt> </tt>
717		<a name="L666"></a><tt class="py-lineno">666</tt> <tt class="py-line"><tt class="py-docstring"> '-66.531 75.654 4164192.708'</tt> </tt>
718		<a name="L667"></a><tt class="py-lineno">667</tt> <tt class="py-line"><tt class="py-docstring"> >>> # compute latitude, longitude and back azimuth of Portland,</tt> </tt>
719		<a name="L668"></a><tt class="py-lineno">668</tt> <tt class="py-line"><tt class="py-docstring"> >>> # given Boston lat/lon, forward azimuth and distance to Portland.</tt> </tt>
720		<a name="L669"></a><tt class="py-lineno">669</tt> <tt class="py-line"><tt class="py-docstring"> >>> endlon, endlat, backaz = g.fwd(boston_lon, boston_lat, az12, dist)</tt> </tt>
721		<a name="L670"></a><tt class="py-lineno">670</tt> <tt class="py-line"><tt class="py-docstring"> >>> "%6.3f %6.3f %13.3f" % (endlat,endlon,backaz)</tt> </tt>
722		<a name="L671"></a><tt class="py-lineno">671</tt> <tt class="py-line"><tt class="py-docstring"> '45.517 -123.683 75.654'</tt> </tt>
723		<a name="L672"></a><tt class="py-lineno">672</tt> <tt class="py-line"><tt class="py-docstring"> >>> # compute the azimuths, distances from New York to several</tt> </tt>
724		<a name="L673"></a><tt class="py-lineno">673</tt> <tt class="py-line"><tt class="py-docstring"> >>> # cities (pass a list)</tt> </tt>
725		<a name="L674"></a><tt class="py-lineno">674</tt> <tt class="py-line"><tt class="py-docstring"> >>> lons1 = 3[newyork_lon]; lats1 = 3[newyork_lat]</tt> </tt>
726		<a name="L675"></a><tt class="py-lineno">675</tt> <tt class="py-line"><tt class="py-docstring"> >>> lons2 = [boston_lon, portland_lon, london_lon]</tt> </tt>
727		<a name="L676"></a><tt class="py-lineno">676</tt> <tt class="py-line"><tt class="py-docstring"> >>> lats2 = [boston_lat, portland_lat, london_lat]</tt> </tt>
728		<a name="L677"></a><tt class="py-lineno">677</tt> <tt class="py-line"><tt class="py-docstring"> >>> az12,az21,dist = g.inv(lons1,lats1,lons2,lats2)</tt> </tt>
729		<a name="L678"></a><tt class="py-lineno">678</tt> <tt class="py-line"><tt class="py-docstring"> >>> for faz,baz,d in list(zip(az12,az21,dist)): "%7.3f %7.3f %9.3f" % (faz,baz,d)</tt> </tt>
730		<a name="L679"></a><tt class="py-lineno">679</tt> <tt class="py-line"><tt class="py-docstring"> ' 54.663 -123.448 288303.720'</tt> </tt>
731		<a name="L680"></a><tt class="py-lineno">680</tt> <tt class="py-line"><tt class="py-docstring"> '-65.463 79.342 4013037.318'</tt> </tt>
732		<a name="L681"></a><tt class="py-lineno">681</tt> <tt class="py-line"><tt class="py-docstring"> ' 51.254 -71.576 5579916.651'</tt> </tt>
733		<a name="L682"></a><tt class="py-lineno">682</tt> <tt class="py-line"><tt class="py-docstring"> >>> g2 = Geod('+ellps=clrk66') # use proj4 style initialization string</tt> </tt>
734		<a name="L683"></a><tt class="py-lineno">683</tt> <tt class="py-line"><tt class="py-docstring"> >>> az12,az21,dist = g2.inv(boston_lon,boston_lat,portland_lon,portland_lat)</tt> </tt>
735		<a name="L684"></a><tt class="py-lineno">684</tt> <tt class="py-line"><tt class="py-docstring"> >>> "%7.3f %6.3f %12.3f" % (az12,az21,dist)</tt> </tt>
736		<a name="L685"></a><tt class="py-lineno">685</tt> <tt class="py-line"><tt class="py-docstring"> '-66.531 75.654 4164192.708'</tt> </tt>
737		<a name="L686"></a><tt class="py-lineno">686</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
738		<a name="L687"></a><tt class="py-lineno">687</tt> <tt class="py-line"> <tt class="py-comment"># if initparams is a proj-type init string,</tt> </tt>
739		<a name="L688"></a><tt class="py-lineno">688</tt> <tt class="py-line"> <tt class="py-comment"># convert to dict.</tt> </tt>
740		<a name="L689"></a><tt class="py-lineno">689</tt> <tt class="py-line"> <tt class="py-name">ellpsd</tt> <tt class="py-op">=</tt> <tt class="py-op">{</tt><tt class="py-op">}</tt> </tt>
741		<a name="L690"></a><tt class="py-lineno">690</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">initstring</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
742		<a name="L691"></a><tt class="py-lineno">691</tt> <tt class="py-line"> <tt class="py-keyword">for</tt> <tt class="py-name">kvpair</tt> <tt class="py-keyword">in</tt> <tt class="py-name">initstring</tt><tt class="py-op">.</tt><tt class="py-name">split</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
743		<a name="L692"></a><tt class="py-lineno">692</tt> <tt class="py-line"> <tt class="py-name">k</tt><tt class="py-op">,</tt><tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-name">kvpair</tt><tt class="py-op">.</tt><tt class="py-name">split</tt><tt class="py-op">(</tt><tt class="py-string">'='</tt><tt class="py-op">)</tt> </tt>
744		<a name="L693"></a><tt class="py-lineno">693</tt> <tt class="py-line"> <tt class="py-name">k</tt> <tt class="py-op">=</tt> <tt class="py-name">k</tt><tt class="py-op">.</tt><tt class="py-name">lstrip</tt><tt class="py-op">(</tt><tt class="py-string">'+'</tt><tt class="py-op">)</tt> </tt>
745		<a name="L694"></a><tt class="py-lineno">694</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">k</tt> <tt class="py-keyword">in</tt> <tt class="py-op">[</tt><tt class="py-string">'a'</tt><tt class="py-op">,</tt><tt class="py-string">'b'</tt><tt class="py-op">,</tt><tt class="py-string">'rf'</tt><tt class="py-op">,</tt><tt class="py-string">'f'</tt><tt class="py-op">,</tt><tt class="py-string">'es'</tt><tt class="py-op">,</tt><tt class="py-string">'e'</tt><tt class="py-op">]</tt><tt class="py-op">:</tt> </tt>
746		<a name="L695"></a><tt class="py-lineno">695</tt> <tt class="py-line"> <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">v</tt><tt class="py-op">)</tt> </tt>
747		<a name="L696"></a><tt class="py-lineno">696</tt> <tt class="py-line"> <tt class="py-name">ellpsd</tt><tt class="py-op">[</tt><tt class="py-name">k</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">v</tt> </tt>
748		<a name="L697"></a><tt class="py-lineno">697</tt> <tt class="py-line"> <tt class="py-comment"># merge this dict with kwargs dict.</tt> </tt>
749		<a name="L698"></a><tt class="py-lineno">698</tt> <tt class="py-line"> <tt class="py-name">kwargs</tt> <tt class="py-op">=</tt> <tt class="py-name">dict</tt><tt class="py-op">(</tt><tt class="py-name">list</tt><tt class="py-op">(</tt><tt class="py-name">kwargs</tt><tt class="py-op">.</tt><tt class="py-name">items</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">list</tt><tt class="py-op">(</tt><tt class="py-name">ellpsd</tt><tt class="py-op">.</tt><tt class="py-name">items</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
750		<a name="L699"></a><tt class="py-lineno">699</tt> <tt class="py-line"> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">sphere</tt> <tt class="py-op">=</tt> <tt class="py-name">False</tt> </tt>
751		<a name="L700"></a><tt class="py-lineno">700</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-string">'ellps'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">kwargs</tt><tt class="py-op">:</tt> </tt>
752		<a name="L701"></a><tt class="py-lineno">701</tt> <tt class="py-line"> <tt class="py-comment"># ellipse name given, look up in pj_ellps dict</tt> </tt>
753		<a name="L702"></a><tt class="py-lineno">702</tt> <tt class="py-line"> <tt class="py-name">ellps_dict</tt> <tt class="py-op">=</tt> <tt id="link-14" class="py-name"><a title="pyproj.pj_ellps" class="py-name" href="#" onclick="return doclink('link-14', 'pj_ellps', 'link-4');">pj_ellps</a></tt><tt class="py-op">[</tt><tt class="py-name">kwargs</tt><tt class="py-op">[</tt><tt class="py-string">'ellps'</tt><tt class="py-op">]</tt><tt class="py-op">]</tt> </tt>
754		<a name="L703"></a><tt class="py-lineno">703</tt> <tt class="py-line"> <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">ellps_dict</tt><tt class="py-op">[</tt><tt class="py-string">'a'</tt><tt class="py-op">]</tt> </tt>
755		<a name="L704"></a><tt class="py-lineno">704</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">ellps_dict</tt><tt class="py-op">[</tt><tt class="py-string">'description'</tt><tt class="py-op">]</tt><tt class="py-op">==</tt><tt class="py-string">'Normal Sphere'</tt><tt class="py-op">:</tt> </tt>
756		<a name="L705"></a><tt class="py-lineno">705</tt> <tt class="py-line"> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">sphere</tt> <tt class="py-op">=</tt> <tt class="py-name">True</tt> </tt>
757		<a name="L706"></a><tt class="py-lineno">706</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-string">'b'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">ellps_dict</tt><tt class="py-op">:</tt> </tt>
758		<a name="L707"></a><tt class="py-lineno">707</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">ellps_dict</tt><tt class="py-op">[</tt><tt class="py-string">'b'</tt><tt class="py-op">]</tt> </tt>
759		<a name="L708"></a><tt class="py-lineno">708</tt> <tt class="py-line"> <tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-name">b</tt> <tt class="py-op"></tt> <tt class="py-name">b</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op"></tt> <tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
760		<a name="L709"></a><tt class="py-lineno">709</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op">-</tt> <tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">a</tt> </tt>
761		<a name="L710"></a><tt class="py-lineno">710</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-string">'rf'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">ellps_dict</tt><tt class="py-op">:</tt> </tt>
762		<a name="L711"></a><tt class="py-lineno">711</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt><tt class="py-op">/</tt><tt class="py-name">ellps_dict</tt><tt class="py-op">[</tt><tt class="py-string">'rf'</tt><tt class="py-op">]</tt> </tt>
763		<a name="L712"></a><tt class="py-lineno">712</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
	704	<a name="L653"></a><tt class="py-lineno">653</tt> <tt class="py-line"><tt class="py-docstring"> See the proj documentation (http://trac.osgeo.org/proj/) for more</tt> </tt>
	705	<a name="L654"></a><tt class="py-lineno">654</tt> <tt class="py-line"><tt class="py-docstring"> information about specifying ellipsoid parameters (specifically,</tt> </tt>
	706	<a name="L655"></a><tt class="py-lineno">655</tt> <tt class="py-line"><tt class="py-docstring"> the chapter 'Specifying the Earth's figure' in the main Proj</tt> </tt>
	707	<a name="L656"></a><tt class="py-lineno">656</tt> <tt class="py-line"><tt class="py-docstring"> users manual).</tt> </tt>
	708	<a name="L657"></a><tt class="py-lineno">657</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	709	<a name="L658"></a><tt class="py-lineno">658</tt> <tt class="py-line"><tt class="py-docstring"> Example usage:</tt> </tt>
	710	<a name="L659"></a><tt class="py-lineno">659</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	711	<a name="L660"></a><tt class="py-lineno">660</tt> <tt class="py-line"><tt class="py-docstring"> >>> from pyproj import Geod</tt> </tt>
	712	<a name="L661"></a><tt class="py-lineno">661</tt> <tt class="py-line"><tt class="py-docstring"> >>> g = Geod(ellps='clrk66') # Use Clarke 1966 ellipsoid.</tt> </tt>
	713	<a name="L662"></a><tt class="py-lineno">662</tt> <tt class="py-line"><tt class="py-docstring"> >>> # specify the lat/lons of some cities.</tt> </tt>
	714	<a name="L663"></a><tt class="py-lineno">663</tt> <tt class="py-line"><tt class="py-docstring"> >>> boston_lat = 42.+(15./60.); boston_lon = -71.-(7./60.)</tt> </tt>
	715	<a name="L664"></a><tt class="py-lineno">664</tt> <tt class="py-line"><tt class="py-docstring"> >>> portland_lat = 45.+(31./60.); portland_lon = -123.-(41./60.)</tt> </tt>
	716	<a name="L665"></a><tt class="py-lineno">665</tt> <tt class="py-line"><tt class="py-docstring"> >>> newyork_lat = 40.+(47./60.); newyork_lon = -73.-(58./60.)</tt> </tt>
	717	<a name="L666"></a><tt class="py-lineno">666</tt> <tt class="py-line"><tt class="py-docstring"> >>> london_lat = 51.+(32./60.); london_lon = -(5./60.)</tt> </tt>
	718	<a name="L667"></a><tt class="py-lineno">667</tt> <tt class="py-line"><tt class="py-docstring"> >>> # compute forward and back azimuths, plus distance</tt> </tt>
	719	<a name="L668"></a><tt class="py-lineno">668</tt> <tt class="py-line"><tt class="py-docstring"> >>> # between Boston and Portland.</tt> </tt>
	720	<a name="L669"></a><tt class="py-lineno">669</tt> <tt class="py-line"><tt class="py-docstring"> >>> az12,az21,dist = g.inv(boston_lon,boston_lat,portland_lon,portland_lat)</tt> </tt>
	721	<a name="L670"></a><tt class="py-lineno">670</tt> <tt class="py-line"><tt class="py-docstring"> >>> "%7.3f %6.3f %12.3f" % (az12,az21,dist)</tt> </tt>
	722	<a name="L671"></a><tt class="py-lineno">671</tt> <tt class="py-line"><tt class="py-docstring"> '-66.531 75.654 4164192.708'</tt> </tt>
	723	<a name="L672"></a><tt class="py-lineno">672</tt> <tt class="py-line"><tt class="py-docstring"> >>> # compute latitude, longitude and back azimuth of Portland,</tt> </tt>
	724	<a name="L673"></a><tt class="py-lineno">673</tt> <tt class="py-line"><tt class="py-docstring"> >>> # given Boston lat/lon, forward azimuth and distance to Portland.</tt> </tt>
	725	<a name="L674"></a><tt class="py-lineno">674</tt> <tt class="py-line"><tt class="py-docstring"> >>> endlon, endlat, backaz = g.fwd(boston_lon, boston_lat, az12, dist)</tt> </tt>
	726	<a name="L675"></a><tt class="py-lineno">675</tt> <tt class="py-line"><tt class="py-docstring"> >>> "%6.3f %6.3f %13.3f" % (endlat,endlon,backaz)</tt> </tt>
	727	<a name="L676"></a><tt class="py-lineno">676</tt> <tt class="py-line"><tt class="py-docstring"> '45.517 -123.683 75.654'</tt> </tt>
	728	<a name="L677"></a><tt class="py-lineno">677</tt> <tt class="py-line"><tt class="py-docstring"> >>> # compute the azimuths, distances from New York to several</tt> </tt>
	729	<a name="L678"></a><tt class="py-lineno">678</tt> <tt class="py-line"><tt class="py-docstring"> >>> # cities (pass a list)</tt> </tt>
	730	<a name="L679"></a><tt class="py-lineno">679</tt> <tt class="py-line"><tt class="py-docstring"> >>> lons1 = 3[newyork_lon]; lats1 = 3[newyork_lat]</tt> </tt>
	731	<a name="L680"></a><tt class="py-lineno">680</tt> <tt class="py-line"><tt class="py-docstring"> >>> lons2 = [boston_lon, portland_lon, london_lon]</tt> </tt>
	732	<a name="L681"></a><tt class="py-lineno">681</tt> <tt class="py-line"><tt class="py-docstring"> >>> lats2 = [boston_lat, portland_lat, london_lat]</tt> </tt>
	733	<a name="L682"></a><tt class="py-lineno">682</tt> <tt class="py-line"><tt class="py-docstring"> >>> az12,az21,dist = g.inv(lons1,lats1,lons2,lats2)</tt> </tt>
	734	<a name="L683"></a><tt class="py-lineno">683</tt> <tt class="py-line"><tt class="py-docstring"> >>> for faz,baz,d in list(zip(az12,az21,dist)): "%7.3f %7.3f %9.3f" % (faz,baz,d)</tt> </tt>
	735	<a name="L684"></a><tt class="py-lineno">684</tt> <tt class="py-line"><tt class="py-docstring"> ' 54.663 -123.448 288303.720'</tt> </tt>
	736	<a name="L685"></a><tt class="py-lineno">685</tt> <tt class="py-line"><tt class="py-docstring"> '-65.463 79.342 4013037.318'</tt> </tt>
	737	<a name="L686"></a><tt class="py-lineno">686</tt> <tt class="py-line"><tt class="py-docstring"> ' 51.254 -71.576 5579916.651'</tt> </tt>
	738	<a name="L687"></a><tt class="py-lineno">687</tt> <tt class="py-line"><tt class="py-docstring"> >>> g2 = Geod('+ellps=clrk66') # use proj4 style initialization string</tt> </tt>
	739	<a name="L688"></a><tt class="py-lineno">688</tt> <tt class="py-line"><tt class="py-docstring"> >>> az12,az21,dist = g2.inv(boston_lon,boston_lat,portland_lon,portland_lat)</tt> </tt>
	740	<a name="L689"></a><tt class="py-lineno">689</tt> <tt class="py-line"><tt class="py-docstring"> >>> "%7.3f %6.3f %12.3f" % (az12,az21,dist)</tt> </tt>
	741	<a name="L690"></a><tt class="py-lineno">690</tt> <tt class="py-line"><tt class="py-docstring"> '-66.531 75.654 4164192.708'</tt> </tt>
	742	<a name="L691"></a><tt class="py-lineno">691</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
	743	<a name="L692"></a><tt class="py-lineno">692</tt> <tt class="py-line"> <tt class="py-comment"># if initparams is a proj-type init string,</tt> </tt>
	744	<a name="L693"></a><tt class="py-lineno">693</tt> <tt class="py-line"> <tt class="py-comment"># convert to dict.</tt> </tt>
	745	<a name="L694"></a><tt class="py-lineno">694</tt> <tt class="py-line"> <tt class="py-name">ellpsd</tt> <tt class="py-op">=</tt> <tt class="py-op">{</tt><tt class="py-op">}</tt> </tt>
	746	<a name="L695"></a><tt class="py-lineno">695</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">initstring</tt> <tt class="py-keyword">is</tt> <tt class="py-keyword">not</tt> <tt class="py-name">None</tt><tt class="py-op">:</tt> </tt>
	747	<a name="L696"></a><tt class="py-lineno">696</tt> <tt class="py-line"> <tt class="py-keyword">for</tt> <tt class="py-name">kvpair</tt> <tt class="py-keyword">in</tt> <tt class="py-name">initstring</tt><tt class="py-op">.</tt><tt class="py-name">split</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	748	<a name="L697"></a><tt class="py-lineno">697</tt> <tt class="py-line"> <tt class="py-name">k</tt><tt class="py-op">,</tt><tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-name">kvpair</tt><tt class="py-op">.</tt><tt class="py-name">split</tt><tt class="py-op">(</tt><tt class="py-string">'='</tt><tt class="py-op">)</tt> </tt>
	749	<a name="L698"></a><tt class="py-lineno">698</tt> <tt class="py-line"> <tt class="py-name">k</tt> <tt class="py-op">=</tt> <tt class="py-name">k</tt><tt class="py-op">.</tt><tt class="py-name">lstrip</tt><tt class="py-op">(</tt><tt class="py-string">'+'</tt><tt class="py-op">)</tt> </tt>
	750	<a name="L699"></a><tt class="py-lineno">699</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">k</tt> <tt class="py-keyword">in</tt> <tt class="py-op">[</tt><tt class="py-string">'a'</tt><tt class="py-op">,</tt><tt class="py-string">'b'</tt><tt class="py-op">,</tt><tt class="py-string">'rf'</tt><tt class="py-op">,</tt><tt class="py-string">'f'</tt><tt class="py-op">,</tt><tt class="py-string">'es'</tt><tt class="py-op">,</tt><tt class="py-string">'e'</tt><tt class="py-op">]</tt><tt class="py-op">:</tt> </tt>
	751	<a name="L700"></a><tt class="py-lineno">700</tt> <tt class="py-line"> <tt class="py-name">v</tt> <tt class="py-op">=</tt> <tt class="py-name">float</tt><tt class="py-op">(</tt><tt class="py-name">v</tt><tt class="py-op">)</tt> </tt>
	752	<a name="L701"></a><tt class="py-lineno">701</tt> <tt class="py-line"> <tt class="py-name">ellpsd</tt><tt class="py-op">[</tt><tt class="py-name">k</tt><tt class="py-op">]</tt> <tt class="py-op">=</tt> <tt class="py-name">v</tt> </tt>
	753	<a name="L702"></a><tt class="py-lineno">702</tt> <tt class="py-line"> <tt class="py-comment"># merge this dict with kwargs dict.</tt> </tt>
	754	<a name="L703"></a><tt class="py-lineno">703</tt> <tt class="py-line"> <tt class="py-name">kwargs</tt> <tt class="py-op">=</tt> <tt class="py-name">dict</tt><tt class="py-op">(</tt><tt class="py-name">list</tt><tt class="py-op">(</tt><tt class="py-name">kwargs</tt><tt class="py-op">.</tt><tt class="py-name">items</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> <tt class="py-op">+</tt> <tt class="py-name">list</tt><tt class="py-op">(</tt><tt class="py-name">ellpsd</tt><tt class="py-op">.</tt><tt class="py-name">items</tt><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
	755	<a name="L704"></a><tt class="py-lineno">704</tt> <tt class="py-line"> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">sphere</tt> <tt class="py-op">=</tt> <tt class="py-name">False</tt> </tt>
	756	<a name="L705"></a><tt class="py-lineno">705</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-string">'ellps'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">kwargs</tt><tt class="py-op">:</tt> </tt>
	757	<a name="L706"></a><tt class="py-lineno">706</tt> <tt class="py-line"> <tt class="py-comment"># ellipse name given, look up in pj_ellps dict</tt> </tt>
	758	<a name="L707"></a><tt class="py-lineno">707</tt> <tt class="py-line"> <tt class="py-name">ellps_dict</tt> <tt class="py-op">=</tt> <tt id="link-16" class="py-name"><a title="pyproj.pj_ellps" class="py-name" href="#" onclick="return doclink('link-16', 'pj_ellps', 'link-4');">pj_ellps</a></tt><tt class="py-op">[</tt><tt class="py-name">kwargs</tt><tt class="py-op">[</tt><tt class="py-string">'ellps'</tt><tt class="py-op">]</tt><tt class="py-op">]</tt> </tt>
	759	<a name="L708"></a><tt class="py-lineno">708</tt> <tt class="py-line"> <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">ellps_dict</tt><tt class="py-op">[</tt><tt class="py-string">'a'</tt><tt class="py-op">]</tt> </tt>
	760	<a name="L709"></a><tt class="py-lineno">709</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">ellps_dict</tt><tt class="py-op">[</tt><tt class="py-string">'description'</tt><tt class="py-op">]</tt><tt class="py-op">==</tt><tt class="py-string">'Normal Sphere'</tt><tt class="py-op">:</tt> </tt>
	761	<a name="L710"></a><tt class="py-lineno">710</tt> <tt class="py-line"> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">sphere</tt> <tt class="py-op">=</tt> <tt class="py-name">True</tt> </tt>
	762	<a name="L711"></a><tt class="py-lineno">711</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-string">'b'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">ellps_dict</tt><tt class="py-op">:</tt> </tt>
	763	<a name="L712"></a><tt class="py-lineno">712</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">ellps_dict</tt><tt class="py-op">[</tt><tt class="py-string">'b'</tt><tt class="py-op">]</tt> </tt>
764	764	<a name="L713"></a><tt class="py-lineno">713</tt> <tt class="py-line"> <tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-name">b</tt> <tt class="py-op"></tt> <tt class="py-name">b</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op"></tt> <tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
765		<a name="L714"></a><tt class="py-lineno">714</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
766		<a name="L715"></a><tt class="py-lineno">715</tt> <tt class="py-line"> <tt class="py-comment"># a (semi-major axis) and one of</tt> </tt>
767		<a name="L716"></a><tt class="py-lineno">716</tt> <tt class="py-line"> <tt class="py-comment"># b the semi-minor axis</tt> </tt>
768		<a name="L717"></a><tt class="py-lineno">717</tt> <tt class="py-line"> <tt class="py-comment"># rf the reciprocal flattening</tt> </tt>
769		<a name="L718"></a><tt class="py-lineno">718</tt> <tt class="py-line"> <tt class="py-comment"># f flattening</tt> </tt>
770		<a name="L719"></a><tt class="py-lineno">719</tt> <tt class="py-line"> <tt class="py-comment"># es eccentricity squared</tt> </tt>
771		<a name="L720"></a><tt class="py-lineno">720</tt> <tt class="py-line"> <tt class="py-comment"># must be given.</tt> </tt>
772		<a name="L721"></a><tt class="py-lineno">721</tt> <tt class="py-line"> <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">kwargs</tt><tt class="py-op">[</tt><tt class="py-string">'a'</tt><tt class="py-op">]</tt> </tt>
773		<a name="L722"></a><tt class="py-lineno">722</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-string">'b'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">kwargs</tt><tt class="py-op">:</tt> </tt>
774		<a name="L723"></a><tt class="py-lineno">723</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">kwargs</tt><tt class="py-op">[</tt><tt class="py-string">'b'</tt><tt class="py-op">]</tt> </tt>
775		<a name="L724"></a><tt class="py-lineno">724</tt> <tt class="py-line"> <tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-name">b</tt> <tt class="py-op"></tt> <tt class="py-name">b</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op"></tt> <tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
776		<a name="L725"></a><tt class="py-lineno">725</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op">-</tt> <tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">a</tt> </tt>
777		<a name="L726"></a><tt class="py-lineno">726</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-string">'rf'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">kwargs</tt><tt class="py-op">:</tt> </tt>
778		<a name="L727"></a><tt class="py-lineno">727</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt><tt class="py-op">/</tt><tt class="py-name">kwargs</tt><tt class="py-op">[</tt><tt class="py-string">'rf'</tt><tt class="py-op">]</tt> </tt>
779		<a name="L728"></a><tt class="py-lineno">728</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
	765	<a name="L714"></a><tt class="py-lineno">714</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op">-</tt> <tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">a</tt> </tt>
	766	<a name="L715"></a><tt class="py-lineno">715</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-string">'rf'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">ellps_dict</tt><tt class="py-op">:</tt> </tt>
	767	<a name="L716"></a><tt class="py-lineno">716</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt><tt class="py-op">/</tt><tt class="py-name">ellps_dict</tt><tt class="py-op">[</tt><tt class="py-string">'rf'</tt><tt class="py-op">]</tt> </tt>
	768	<a name="L717"></a><tt class="py-lineno">717</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
	769	<a name="L718"></a><tt class="py-lineno">718</tt> <tt class="py-line"> <tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-name">b</tt> <tt class="py-op"></tt> <tt class="py-name">b</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op"></tt> <tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
	770	<a name="L719"></a><tt class="py-lineno">719</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
	771	<a name="L720"></a><tt class="py-lineno">720</tt> <tt class="py-line"> <tt class="py-comment"># a (semi-major axis) and one of</tt> </tt>
	772	<a name="L721"></a><tt class="py-lineno">721</tt> <tt class="py-line"> <tt class="py-comment"># b the semi-minor axis</tt> </tt>
	773	<a name="L722"></a><tt class="py-lineno">722</tt> <tt class="py-line"> <tt class="py-comment"># rf the reciprocal flattening</tt> </tt>
	774	<a name="L723"></a><tt class="py-lineno">723</tt> <tt class="py-line"> <tt class="py-comment"># f flattening</tt> </tt>
	775	<a name="L724"></a><tt class="py-lineno">724</tt> <tt class="py-line"> <tt class="py-comment"># es eccentricity squared</tt> </tt>
	776	<a name="L725"></a><tt class="py-lineno">725</tt> <tt class="py-line"> <tt class="py-comment"># must be given.</tt> </tt>
	777	<a name="L726"></a><tt class="py-lineno">726</tt> <tt class="py-line"> <tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">kwargs</tt><tt class="py-op">[</tt><tt class="py-string">'a'</tt><tt class="py-op">]</tt> </tt>
	778	<a name="L727"></a><tt class="py-lineno">727</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-string">'b'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">kwargs</tt><tt class="py-op">:</tt> </tt>
	779	<a name="L728"></a><tt class="py-lineno">728</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">kwargs</tt><tt class="py-op">[</tt><tt class="py-string">'b'</tt><tt class="py-op">]</tt> </tt>
780	780	<a name="L729"></a><tt class="py-lineno">729</tt> <tt class="py-line"> <tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-name">b</tt> <tt class="py-op"></tt> <tt class="py-name">b</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op"></tt> <tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
781		<a name="L730"></a><tt class="py-lineno">730</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-string">'f'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">kwargs</tt><tt class="py-op">:</tt> </tt>
782		<a name="L731"></a><tt class="py-lineno">731</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-name">kwargs</tt><tt class="py-op">[</tt><tt class="py-string">'f'</tt><tt class="py-op">]</tt> </tt>
783		<a name="L732"></a><tt class="py-lineno">732</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
784		<a name="L733"></a><tt class="py-lineno">733</tt> <tt class="py-line"> <tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-name">b</tt><tt class="py-op">/</tt><tt class="py-name">a</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> </tt>
785		<a name="L734"></a><tt class="py-lineno">734</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-string">'es'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">kwargs</tt><tt class="py-op">:</tt> </tt>
786		<a name="L735"></a><tt class="py-lineno">735</tt> <tt class="py-line"> <tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-name">kwargs</tt><tt class="py-op">[</tt><tt class="py-string">'es'</tt><tt class="py-op">]</tt> </tt>
787		<a name="L736"></a><tt class="py-lineno">736</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">sqrt</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">*</tt><tt class="py-number">2</tt> <tt class="py-op">-</tt> <tt class="py-name">es</tt><tt class="py-op"></tt><tt class="py-name">a</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> </tt>
788		<a name="L737"></a><tt class="py-lineno">737</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op">-</tt> <tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">a</tt> </tt>
789		<a name="L738"></a><tt class="py-lineno">738</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-string">'e'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">kwargs</tt><tt class="py-op">:</tt> </tt>
790		<a name="L739"></a><tt class="py-lineno">739</tt> <tt class="py-line"> <tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-name">kwargs</tt><tt class="py-op">[</tt><tt class="py-string">'e'</tt><tt class="py-op">]</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> </tt>
791		<a name="L740"></a><tt class="py-lineno">740</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">sqrt</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">*</tt><tt class="py-number">2</tt> <tt class="py-op">-</tt> <tt class="py-name">es</tt><tt class="py-op"></tt><tt class="py-name">a</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> </tt>
792		<a name="L741"></a><tt class="py-lineno">741</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op">-</tt> <tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">a</tt> </tt>
793		<a name="L742"></a><tt class="py-lineno">742</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
794		<a name="L743"></a><tt class="py-lineno">743</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt> </tt>
795		<a name="L744"></a><tt class="py-lineno">744</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-number">0.</tt> </tt>
796		<a name="L745"></a><tt class="py-lineno">745</tt> <tt class="py-line"> <tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-number">0.</tt> </tt>
797		<a name="L746"></a><tt class="py-lineno">746</tt> <tt class="py-line"> <tt class="py-comment">#msg='ellipse name or a, plus one of f,es,b must be given'</tt> </tt>
798		<a name="L747"></a><tt class="py-lineno">747</tt> <tt class="py-line"> <tt class="py-comment">#raise ValueError(msg)</tt> </tt>
799		<a name="L748"></a><tt class="py-lineno">748</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">fabs</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">)</tt> <tt class="py-op"><</tt> <tt class="py-number">1.e-8</tt><tt class="py-op">:</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">sphere</tt> <tt class="py-op">=</tt> <tt class="py-name">True</tt> </tt>
800		<a name="L749"></a><tt class="py-lineno">749</tt> <tt class="py-line"> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt> </tt>
801		<a name="L750"></a><tt class="py-lineno">750</tt> <tt class="py-line"> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">b</tt> </tt>
802		<a name="L751"></a><tt class="py-lineno">751</tt> <tt class="py-line"> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-name">f</tt> </tt>
803		<a name="L752"></a><tt class="py-lineno">752</tt> <tt class="py-line"> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-name">es</tt> </tt>
804		<a name="L753"></a><tt class="py-lineno">753</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt id="link-15" class="py-name" targets="Class pyproj.Geod=pyproj.Geod-class.html"><a title="pyproj.Geod" class="py-name" href="#" onclick="return doclink('link-15', 'Geod', 'link-15');">Geod</a></tt><tt class="py-op">.</tt><tt id="link-16" class="py-name"><a title="pyproj.Geod.__new__
805		pyproj.Proj.__new__" class="py-name" href="#" onclick="return doclink('link-16', '__new__', 'link-7');">__new__</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">,</tt> <tt class="py-name">a</tt><tt class="py-op">,</tt> <tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
806		</div><a name="L754"></a><tt class="py-lineno">754</tt> <tt class="py-line"> </tt>
807		<a name="Geod.fwd"></a><div id="Geod.fwd-def"><a name="L755"></a><tt class="py-lineno">755</tt> <a class="py-toggle" href="#" id="Geod.fwd-toggle" onclick="return toggle('Geod.fwd');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj.Geod-class.html#fwd">fwd</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">lons</tt><tt class="py-op">,</tt> <tt class="py-param">lats</tt><tt class="py-op">,</tt> <tt class="py-param">az</tt><tt class="py-op">,</tt> <tt class="py-param">dist</tt><tt class="py-op">,</tt> <tt class="py-param">radians</tt><tt class="py-op">=</tt><tt class="py-name">False</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
808		</div><div id="Geod.fwd-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Geod.fwd-expanded"><a name="L756"></a><tt class="py-lineno">756</tt> <tt class="py-line"> <tt class="py-docstring">"""</tt> </tt>
809		<a name="L757"></a><tt class="py-lineno">757</tt> <tt class="py-line"><tt class="py-docstring"> forward transformation - Returns longitudes, latitudes and back</tt> </tt>
810		<a name="L758"></a><tt class="py-lineno">758</tt> <tt class="py-line"><tt class="py-docstring"> azimuths of terminus points given longitudes (lons) and</tt> </tt>
811		<a name="L759"></a><tt class="py-lineno">759</tt> <tt class="py-line"><tt class="py-docstring"> latitudes (lats) of initial points, plus forward azimuths (az)</tt> </tt>
812		<a name="L760"></a><tt class="py-lineno">760</tt> <tt class="py-line"><tt class="py-docstring"> and distances (dist).</tt> </tt>
813		<a name="L761"></a><tt class="py-lineno">761</tt> <tt class="py-line"><tt class="py-docstring"> latitudes (lats) of initial points, plus forward azimuths (az)</tt> </tt>
814		<a name="L762"></a><tt class="py-lineno">762</tt> <tt class="py-line"><tt class="py-docstring"> and distances (dist).</tt> </tt>
815		<a name="L763"></a><tt class="py-lineno">763</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
816		<a name="L764"></a><tt class="py-lineno">764</tt> <tt class="py-line"><tt class="py-docstring"> Works with numpy and regular python array objects, python</tt> </tt>
817		<a name="L765"></a><tt class="py-lineno">765</tt> <tt class="py-line"><tt class="py-docstring"> sequences and scalars.</tt> </tt>
818		<a name="L766"></a><tt class="py-lineno">766</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
819		<a name="L767"></a><tt class="py-lineno">767</tt> <tt class="py-line"><tt class="py-docstring"> if radians=True, lons/lats and azimuths are radians instead of</tt> </tt>
820		<a name="L768"></a><tt class="py-lineno">768</tt> <tt class="py-line"><tt class="py-docstring"> degrees. Distances are in meters.</tt> </tt>
821		<a name="L769"></a><tt class="py-lineno">769</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
822		<a name="L770"></a><tt class="py-lineno">770</tt> <tt class="py-line"> <tt class="py-comment"># process inputs, making copies that support buffer API.</tt> </tt>
823		<a name="L771"></a><tt class="py-lineno">771</tt> <tt class="py-line"> <tt class="py-name">inx</tt><tt class="py-op">,</tt> <tt class="py-name">xisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">xislist</tt><tt class="py-op">,</tt> <tt class="py-name">xistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">lons</tt><tt class="py-op">)</tt> </tt>
824		<a name="L772"></a><tt class="py-lineno">772</tt> <tt class="py-line"> <tt class="py-name">iny</tt><tt class="py-op">,</tt> <tt class="py-name">yisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">yislist</tt><tt class="py-op">,</tt> <tt class="py-name">yistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">lats</tt><tt class="py-op">)</tt> </tt>
825		<a name="L773"></a><tt class="py-lineno">773</tt> <tt class="py-line"> <tt class="py-name">inz</tt><tt class="py-op">,</tt> <tt class="py-name">zisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">zislist</tt><tt class="py-op">,</tt> <tt class="py-name">zistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">az</tt><tt class="py-op">)</tt> </tt>
826		<a name="L774"></a><tt class="py-lineno">774</tt> <tt class="py-line"> <tt class="py-name">ind</tt><tt class="py-op">,</tt> <tt class="py-name">disfloat</tt><tt class="py-op">,</tt> <tt class="py-name">dislist</tt><tt class="py-op">,</tt> <tt class="py-name">distuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">dist</tt><tt class="py-op">)</tt> </tt>
827		<a name="L775"></a><tt class="py-lineno">775</tt> <tt class="py-line"> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt id="link-17" class="py-name"><a title="pyproj.Geod" class="py-name" href="#" onclick="return doclink('link-17', 'Geod', 'link-15');">Geod</a></tt><tt class="py-op">.</tt><tt class="py-name">_fwd</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">,</tt> <tt class="py-name">inx</tt><tt class="py-op">,</tt> <tt class="py-name">iny</tt><tt class="py-op">,</tt> <tt class="py-name">inz</tt><tt class="py-op">,</tt> <tt class="py-name">ind</tt><tt class="py-op">,</tt> <tt class="py-name">radians</tt><tt class="py-op">=</tt><tt class="py-name">radians</tt><tt class="py-op">)</tt> </tt>
828		<a name="L776"></a><tt class="py-lineno">776</tt> <tt class="py-line"> <tt class="py-comment"># if inputs were lists, tuples or floats, convert back.</tt> </tt>
829		<a name="L777"></a><tt class="py-lineno">777</tt> <tt class="py-line"> <tt class="py-name">outx</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">xisfloat</tt><tt class="py-op">,</tt><tt class="py-name">xislist</tt><tt class="py-op">,</tt><tt class="py-name">xistuple</tt><tt class="py-op">,</tt><tt class="py-name">inx</tt><tt class="py-op">)</tt> </tt>
830		<a name="L778"></a><tt class="py-lineno">778</tt> <tt class="py-line"> <tt class="py-name">outy</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">yisfloat</tt><tt class="py-op">,</tt><tt class="py-name">yislist</tt><tt class="py-op">,</tt><tt class="py-name">xistuple</tt><tt class="py-op">,</tt><tt class="py-name">iny</tt><tt class="py-op">)</tt> </tt>
831		<a name="L779"></a><tt class="py-lineno">779</tt> <tt class="py-line"> <tt class="py-name">outz</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">zisfloat</tt><tt class="py-op">,</tt><tt class="py-name">zislist</tt><tt class="py-op">,</tt><tt class="py-name">zistuple</tt><tt class="py-op">,</tt><tt class="py-name">inz</tt><tt class="py-op">)</tt> </tt>
832		<a name="L780"></a><tt class="py-lineno">780</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">outx</tt><tt class="py-op">,</tt> <tt class="py-name">outy</tt><tt class="py-op">,</tt> <tt class="py-name">outz</tt> </tt>
833		</div><a name="L781"></a><tt class="py-lineno">781</tt> <tt class="py-line"> </tt>
834		<a name="Geod.inv"></a><div id="Geod.inv-def"><a name="L782"></a><tt class="py-lineno">782</tt> <a class="py-toggle" href="#" id="Geod.inv-toggle" onclick="return toggle('Geod.inv');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj.Geod-class.html#inv">inv</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt><tt class="py-param">lons1</tt><tt class="py-op">,</tt><tt class="py-param">lats1</tt><tt class="py-op">,</tt><tt class="py-param">lons2</tt><tt class="py-op">,</tt><tt class="py-param">lats2</tt><tt class="py-op">,</tt><tt class="py-param">radians</tt><tt class="py-op">=</tt><tt class="py-name">False</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
835		</div><div id="Geod.inv-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Geod.inv-expanded"><a name="L783"></a><tt class="py-lineno">783</tt> <tt class="py-line"> <tt class="py-docstring">"""</tt> </tt>
836		<a name="L784"></a><tt class="py-lineno">784</tt> <tt class="py-line"><tt class="py-docstring"> inverse transformation - Returns forward and back azimuths, plus</tt> </tt>
837		<a name="L785"></a><tt class="py-lineno">785</tt> <tt class="py-line"><tt class="py-docstring"> distances between initial points (specified by lons1, lats1) and</tt> </tt>
838		<a name="L786"></a><tt class="py-lineno">786</tt> <tt class="py-line"><tt class="py-docstring"> terminus points (specified by lons2, lats2).</tt> </tt>
839		<a name="L787"></a><tt class="py-lineno">787</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
840		<a name="L788"></a><tt class="py-lineno">788</tt> <tt class="py-line"><tt class="py-docstring"> Works with numpy and regular python array objects, python</tt> </tt>
841		<a name="L789"></a><tt class="py-lineno">789</tt> <tt class="py-line"><tt class="py-docstring"> sequences and scalars.</tt> </tt>
842		<a name="L790"></a><tt class="py-lineno">790</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
843		<a name="L791"></a><tt class="py-lineno">791</tt> <tt class="py-line"><tt class="py-docstring"> if radians=True, lons/lats and azimuths are radians instead of</tt> </tt>
844		<a name="L792"></a><tt class="py-lineno">792</tt> <tt class="py-line"><tt class="py-docstring"> degrees. Distances are in meters.</tt> </tt>
845		<a name="L793"></a><tt class="py-lineno">793</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
846		<a name="L794"></a><tt class="py-lineno">794</tt> <tt class="py-line"> <tt class="py-comment"># process inputs, making copies that support buffer API.</tt> </tt>
847		<a name="L795"></a><tt class="py-lineno">795</tt> <tt class="py-line"> <tt class="py-name">inx</tt><tt class="py-op">,</tt> <tt class="py-name">xisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">xislist</tt><tt class="py-op">,</tt> <tt class="py-name">xistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">lons1</tt><tt class="py-op">)</tt> </tt>
848		<a name="L796"></a><tt class="py-lineno">796</tt> <tt class="py-line"> <tt class="py-name">iny</tt><tt class="py-op">,</tt> <tt class="py-name">yisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">yislist</tt><tt class="py-op">,</tt> <tt class="py-name">yistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">lats1</tt><tt class="py-op">)</tt> </tt>
849		<a name="L797"></a><tt class="py-lineno">797</tt> <tt class="py-line"> <tt class="py-name">inz</tt><tt class="py-op">,</tt> <tt class="py-name">zisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">zislist</tt><tt class="py-op">,</tt> <tt class="py-name">zistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">lons2</tt><tt class="py-op">)</tt> </tt>
850		<a name="L798"></a><tt class="py-lineno">798</tt> <tt class="py-line"> <tt class="py-name">ind</tt><tt class="py-op">,</tt> <tt class="py-name">disfloat</tt><tt class="py-op">,</tt> <tt class="py-name">dislist</tt><tt class="py-op">,</tt> <tt class="py-name">distuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">lats2</tt><tt class="py-op">)</tt> </tt>
851		<a name="L799"></a><tt class="py-lineno">799</tt> <tt class="py-line"> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt id="link-18" class="py-name"><a title="pyproj.Geod" class="py-name" href="#" onclick="return doclink('link-18', 'Geod', 'link-15');">Geod</a></tt><tt class="py-op">.</tt><tt class="py-name">_inv</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">,</tt><tt class="py-name">inx</tt><tt class="py-op">,</tt><tt class="py-name">iny</tt><tt class="py-op">,</tt><tt class="py-name">inz</tt><tt class="py-op">,</tt><tt class="py-name">ind</tt><tt class="py-op">,</tt><tt class="py-name">radians</tt><tt class="py-op">=</tt><tt class="py-name">radians</tt><tt class="py-op">)</tt> </tt>
852		<a name="L800"></a><tt class="py-lineno">800</tt> <tt class="py-line"> <tt class="py-comment"># if inputs were lists, tuples or floats, convert back.</tt> </tt>
853		<a name="L801"></a><tt class="py-lineno">801</tt> <tt class="py-line"> <tt class="py-name">outx</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">xisfloat</tt><tt class="py-op">,</tt><tt class="py-name">xislist</tt><tt class="py-op">,</tt><tt class="py-name">xistuple</tt><tt class="py-op">,</tt><tt class="py-name">inx</tt><tt class="py-op">)</tt> </tt>
854		<a name="L802"></a><tt class="py-lineno">802</tt> <tt class="py-line"> <tt class="py-name">outy</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">yisfloat</tt><tt class="py-op">,</tt><tt class="py-name">yislist</tt><tt class="py-op">,</tt><tt class="py-name">xistuple</tt><tt class="py-op">,</tt><tt class="py-name">iny</tt><tt class="py-op">)</tt> </tt>
855		<a name="L803"></a><tt class="py-lineno">803</tt> <tt class="py-line"> <tt class="py-name">outz</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">zisfloat</tt><tt class="py-op">,</tt><tt class="py-name">zislist</tt><tt class="py-op">,</tt><tt class="py-name">zistuple</tt><tt class="py-op">,</tt><tt class="py-name">inz</tt><tt class="py-op">)</tt> </tt>
856		<a name="L804"></a><tt class="py-lineno">804</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">outx</tt><tt class="py-op">,</tt> <tt class="py-name">outy</tt><tt class="py-op">,</tt> <tt class="py-name">outz</tt> </tt>
857		</div><a name="L805"></a><tt class="py-lineno">805</tt> <tt class="py-line"> </tt>
858		<a name="Geod.npts"></a><div id="Geod.npts-def"><a name="L806"></a><tt class="py-lineno">806</tt> <a class="py-toggle" href="#" id="Geod.npts-toggle" onclick="return toggle('Geod.npts');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj.Geod-class.html#npts">npts</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">lon1</tt><tt class="py-op">,</tt> <tt class="py-param">lat1</tt><tt class="py-op">,</tt> <tt class="py-param">lon2</tt><tt class="py-op">,</tt> <tt class="py-param">lat2</tt><tt class="py-op">,</tt> <tt class="py-param">npts</tt><tt class="py-op">,</tt> <tt class="py-param">radians</tt><tt class="py-op">=</tt><tt class="py-name">False</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
859		</div><div id="Geod.npts-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Geod.npts-expanded"><a name="L807"></a><tt class="py-lineno">807</tt> <tt class="py-line"> <tt class="py-docstring">"""</tt> </tt>
860		<a name="L808"></a><tt class="py-lineno">808</tt> <tt class="py-line"><tt class="py-docstring"> Given a single initial point and terminus point (specified by</tt> </tt>
861		<a name="L809"></a><tt class="py-lineno">809</tt> <tt class="py-line"><tt class="py-docstring"> python floats lon1,lat1 and lon2,lat2), returns a list of</tt> </tt>
862		<a name="L810"></a><tt class="py-lineno">810</tt> <tt class="py-line"><tt class="py-docstring"> longitude/latitude pairs describing npts equally spaced</tt> </tt>
863		<a name="L811"></a><tt class="py-lineno">811</tt> <tt class="py-line"><tt class="py-docstring"> intermediate points along the geodesic between the initial and</tt> </tt>
864		<a name="L812"></a><tt class="py-lineno">812</tt> <tt class="py-line"><tt class="py-docstring"> terminus points.</tt> </tt>
865		<a name="L813"></a><tt class="py-lineno">813</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
866		<a name="L814"></a><tt class="py-lineno">814</tt> <tt class="py-line"><tt class="py-docstring"> if radians=True, lons/lats are radians instead of degrees.</tt> </tt>
867		<a name="L815"></a><tt class="py-lineno">815</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
868		<a name="L816"></a><tt class="py-lineno">816</tt> <tt class="py-line"><tt class="py-docstring"> Example usage:</tt> </tt>
869		<a name="L817"></a><tt class="py-lineno">817</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
870		<a name="L818"></a><tt class="py-lineno">818</tt> <tt class="py-line"><tt class="py-docstring"> >>> from pyproj import Geod</tt> </tt>
871		<a name="L819"></a><tt class="py-lineno">819</tt> <tt class="py-line"><tt class="py-docstring"> >>> g = Geod(ellps='clrk66') # Use Clarke 1966 ellipsoid.</tt> </tt>
872		<a name="L820"></a><tt class="py-lineno">820</tt> <tt class="py-line"><tt class="py-docstring"> >>> # specify the lat/lons of Boston and Portland.</tt> </tt>
873		<a name="L821"></a><tt class="py-lineno">821</tt> <tt class="py-line"><tt class="py-docstring"> >>> g = Geod(ellps='clrk66') # Use Clarke 1966 ellipsoid.</tt> </tt>
874		<a name="L822"></a><tt class="py-lineno">822</tt> <tt class="py-line"><tt class="py-docstring"> >>> # specify the lat/lons of Boston and Portland.</tt> </tt>
875		<a name="L823"></a><tt class="py-lineno">823</tt> <tt class="py-line"><tt class="py-docstring"> >>> boston_lat = 42.+(15./60.); boston_lon = -71.-(7./60.)</tt> </tt>
876		<a name="L824"></a><tt class="py-lineno">824</tt> <tt class="py-line"><tt class="py-docstring"> >>> portland_lat = 45.+(31./60.); portland_lon = -123.-(41./60.)</tt> </tt>
877		<a name="L825"></a><tt class="py-lineno">825</tt> <tt class="py-line"><tt class="py-docstring"> >>> # find ten equally spaced points between Boston and Portland.</tt> </tt>
878		<a name="L826"></a><tt class="py-lineno">826</tt> <tt class="py-line"><tt class="py-docstring"> >>> lonlats = g.npts(boston_lon,boston_lat,portland_lon,portland_lat,10)</tt> </tt>
879		<a name="L827"></a><tt class="py-lineno">827</tt> <tt class="py-line"><tt class="py-docstring"> >>> for lon,lat in lonlats: '%6.3f %7.3f' % (lat, lon)</tt> </tt>
880		<a name="L828"></a><tt class="py-lineno">828</tt> <tt class="py-line"><tt class="py-docstring"> '43.528 -75.414'</tt> </tt>
881		<a name="L829"></a><tt class="py-lineno">829</tt> <tt class="py-line"><tt class="py-docstring"> '44.637 -79.883'</tt> </tt>
882		<a name="L830"></a><tt class="py-lineno">830</tt> <tt class="py-line"><tt class="py-docstring"> '45.565 -84.512'</tt> </tt>
883		<a name="L831"></a><tt class="py-lineno">831</tt> <tt class="py-line"><tt class="py-docstring"> '46.299 -89.279'</tt> </tt>
884		<a name="L832"></a><tt class="py-lineno">832</tt> <tt class="py-line"><tt class="py-docstring"> '46.830 -94.156'</tt> </tt>
885		<a name="L833"></a><tt class="py-lineno">833</tt> <tt class="py-line"><tt class="py-docstring"> '47.149 -99.112'</tt> </tt>
886		<a name="L834"></a><tt class="py-lineno">834</tt> <tt class="py-line"><tt class="py-docstring"> '47.251 -104.106'</tt> </tt>
887		<a name="L835"></a><tt class="py-lineno">835</tt> <tt class="py-line"><tt class="py-docstring"> '47.136 -109.100'</tt> </tt>
888		<a name="L836"></a><tt class="py-lineno">836</tt> <tt class="py-line"><tt class="py-docstring"> '46.805 -114.051'</tt> </tt>
889		<a name="L837"></a><tt class="py-lineno">837</tt> <tt class="py-line"><tt class="py-docstring"> '46.262 -118.924'</tt> </tt>
890		<a name="L838"></a><tt class="py-lineno">838</tt> <tt class="py-line"><tt class="py-docstring"> >>> # test with radians=True (inputs/outputs in radians, not degrees)</tt> </tt>
891		<a name="L839"></a><tt class="py-lineno">839</tt> <tt class="py-line"><tt class="py-docstring"> >>> import math</tt> </tt>
892		<a name="L840"></a><tt class="py-lineno">840</tt> <tt class="py-line"><tt class="py-docstring"> >>> dg2rad = math.radians(1.)</tt> </tt>
893		<a name="L841"></a><tt class="py-lineno">841</tt> <tt class="py-line"><tt class="py-docstring"> >>> rad2dg = math.degrees(1.)</tt> </tt>
894		<a name="L842"></a><tt class="py-lineno">842</tt> <tt class="py-line"><tt class="py-docstring"> >>> lonlats = g.npts(dg2radboston_lon,dg2radboston_lat,dg2radportland_lon,dg2radportland_lat,10,radians=True)</tt> </tt>
895		<a name="L843"></a><tt class="py-lineno">843</tt> <tt class="py-line"><tt class="py-docstring"> >>> for lon,lat in lonlats: '%6.3f %7.3f' % (rad2dglat, rad2dglon)</tt> </tt>
896		<a name="L844"></a><tt class="py-lineno">844</tt> <tt class="py-line"><tt class="py-docstring"> '43.528 -75.414'</tt> </tt>
897		<a name="L845"></a><tt class="py-lineno">845</tt> <tt class="py-line"><tt class="py-docstring"> '44.637 -79.883'</tt> </tt>
898		<a name="L846"></a><tt class="py-lineno">846</tt> <tt class="py-line"><tt class="py-docstring"> '45.565 -84.512'</tt> </tt>
899		<a name="L847"></a><tt class="py-lineno">847</tt> <tt class="py-line"><tt class="py-docstring"> '46.299 -89.279'</tt> </tt>
900		<a name="L848"></a><tt class="py-lineno">848</tt> <tt class="py-line"><tt class="py-docstring"> '46.830 -94.156'</tt> </tt>
901		<a name="L849"></a><tt class="py-lineno">849</tt> <tt class="py-line"><tt class="py-docstring"> '47.149 -99.112'</tt> </tt>
902		<a name="L850"></a><tt class="py-lineno">850</tt> <tt class="py-line"><tt class="py-docstring"> '47.251 -104.106'</tt> </tt>
903		<a name="L851"></a><tt class="py-lineno">851</tt> <tt class="py-line"><tt class="py-docstring"> '47.136 -109.100'</tt> </tt>
904		<a name="L852"></a><tt class="py-lineno">852</tt> <tt class="py-line"><tt class="py-docstring"> '46.805 -114.051'</tt> </tt>
905		<a name="L853"></a><tt class="py-lineno">853</tt> <tt class="py-line"><tt class="py-docstring"> '46.262 -118.924'</tt> </tt>
906		<a name="L854"></a><tt class="py-lineno">854</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
907		<a name="L855"></a><tt class="py-lineno">855</tt> <tt class="py-line"> <tt class="py-name">lons</tt><tt class="py-op">,</tt> <tt class="py-name">lats</tt> <tt class="py-op">=</tt> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt id="link-19" class="py-name"><a title="pyproj.Geod" class="py-name" href="#" onclick="return doclink('link-19', 'Geod', 'link-15');">Geod</a></tt><tt class="py-op">.</tt><tt class="py-name">_npts</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">,</tt> <tt class="py-name">lon1</tt><tt class="py-op">,</tt> <tt class="py-name">lat1</tt><tt class="py-op">,</tt> <tt class="py-name">lon2</tt><tt class="py-op">,</tt> <tt class="py-name">lat2</tt><tt class="py-op">,</tt> <tt id="link-20" class="py-name" targets="Method pyproj.Geod.npts()=pyproj.Geod-class.html#npts"><a title="pyproj.Geod.npts" class="py-name" href="#" onclick="return doclink('link-20', 'npts', 'link-20');">npts</a></tt><tt class="py-op">,</tt> <tt class="py-name">radians</tt><tt class="py-op">=</tt><tt class="py-name">radians</tt><tt class="py-op">)</tt> </tt>
908		<a name="L856"></a><tt class="py-lineno">856</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">list</tt><tt class="py-op">(</tt><tt class="py-name">zip</tt><tt class="py-op">(</tt><tt class="py-name">lons</tt><tt class="py-op">,</tt> <tt class="py-name">lats</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
909		</div></div><a name="L857"></a><tt class="py-lineno">857</tt> <tt class="py-line"> </tt>
910		<a name="test"></a><div id="test-def"><a name="L858"></a><tt class="py-lineno">858</tt> <a class="py-toggle" href="#" id="test-toggle" onclick="return toggle('test');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj-module.html#test">test</a><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
911		</div><div id="test-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="test-expanded"><a name="L859"></a><tt class="py-lineno">859</tt> <tt class="py-line"> <tt class="py-docstring">"""run the examples in the docstrings using the doctest module"""</tt> </tt>
912		<a name="L860"></a><tt class="py-lineno">860</tt> <tt class="py-line"> <tt class="py-keyword">import</tt> <tt class="py-name">doctest</tt><tt class="py-op">,</tt> <tt id="link-21" class="py-name"><a title="pyproj" class="py-name" href="#" onclick="return doclink('link-21', 'pyproj', 'link-0');">pyproj</a></tt> </tt>
913		<a name="L861"></a><tt class="py-lineno">861</tt> <tt class="py-line"> <tt class="py-name">doctest</tt><tt class="py-op">.</tt><tt class="py-name">testmod</tt><tt class="py-op">(</tt><tt id="link-22" class="py-name"><a title="pyproj" class="py-name" href="#" onclick="return doclink('link-22', 'pyproj', 'link-0');">pyproj</a></tt><tt class="py-op">,</tt><tt class="py-name">verbose</tt><tt class="py-op">=</tt><tt class="py-name">True</tt><tt class="py-op">)</tt> </tt>
914		</div><a name="L862"></a><tt class="py-lineno">862</tt> <tt class="py-line"> </tt>
915		<a name="L863"></a><tt class="py-lineno">863</tt> <tt class="py-line"><tt class="py-keyword">if</tt> <tt class="py-name">__name__</tt> <tt class="py-op">==</tt> <tt class="py-string">"__main__"</tt><tt class="py-op">:</tt> <tt id="link-23" class="py-name" targets="Function pyproj.test()=pyproj-module.html#test"><a title="pyproj.test" class="py-name" href="#" onclick="return doclink('link-23', 'test', 'link-23');">test</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
916		<a name="L864"></a><tt class="py-lineno">864</tt> <tt class="py-line"> </tt><script type="text/javascript">
	781	<a name="L730"></a><tt class="py-lineno">730</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op">-</tt> <tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">a</tt> </tt>
	782	<a name="L731"></a><tt class="py-lineno">731</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-string">'rf'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">kwargs</tt><tt class="py-op">:</tt> </tt>
	783	<a name="L732"></a><tt class="py-lineno">732</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt><tt class="py-op">/</tt><tt class="py-name">kwargs</tt><tt class="py-op">[</tt><tt class="py-string">'rf'</tt><tt class="py-op">]</tt> </tt>
	784	<a name="L733"></a><tt class="py-lineno">733</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
	785	<a name="L734"></a><tt class="py-lineno">734</tt> <tt class="py-line"> <tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-name">b</tt> <tt class="py-op"></tt> <tt class="py-name">b</tt><tt class="py-op">)</tt> <tt class="py-op">/</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op"></tt> <tt class="py-name">a</tt><tt class="py-op">)</tt> </tt>
	786	<a name="L735"></a><tt class="py-lineno">735</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-string">'f'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">kwargs</tt><tt class="py-op">:</tt> </tt>
	787	<a name="L736"></a><tt class="py-lineno">736</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-name">kwargs</tt><tt class="py-op">[</tt><tt class="py-string">'f'</tt><tt class="py-op">]</tt> </tt>
	788	<a name="L737"></a><tt class="py-lineno">737</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt><tt class="py-op">*</tt><tt class="py-op">(</tt><tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
	789	<a name="L738"></a><tt class="py-lineno">738</tt> <tt class="py-line"> <tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-number">1.</tt> <tt class="py-op">-</tt> <tt class="py-op">(</tt><tt class="py-name">b</tt><tt class="py-op">/</tt><tt class="py-name">a</tt><tt class="py-op">)</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> </tt>
	790	<a name="L739"></a><tt class="py-lineno">739</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-string">'es'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">kwargs</tt><tt class="py-op">:</tt> </tt>
	791	<a name="L740"></a><tt class="py-lineno">740</tt> <tt class="py-line"> <tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-name">kwargs</tt><tt class="py-op">[</tt><tt class="py-string">'es'</tt><tt class="py-op">]</tt> </tt>
	792	<a name="L741"></a><tt class="py-lineno">741</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">sqrt</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">*</tt><tt class="py-number">2</tt> <tt class="py-op">-</tt> <tt class="py-name">es</tt><tt class="py-op"></tt><tt class="py-name">a</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> </tt>
	793	<a name="L742"></a><tt class="py-lineno">742</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op">-</tt> <tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">a</tt> </tt>
	794	<a name="L743"></a><tt class="py-lineno">743</tt> <tt class="py-line"> <tt class="py-keyword">elif</tt> <tt class="py-string">'e'</tt> <tt class="py-keyword">in</tt> <tt class="py-name">kwargs</tt><tt class="py-op">:</tt> </tt>
	795	<a name="L744"></a><tt class="py-lineno">744</tt> <tt class="py-line"> <tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-name">kwargs</tt><tt class="py-op">[</tt><tt class="py-string">'e'</tt><tt class="py-op">]</tt><tt class="py-op">**</tt><tt class="py-number">2</tt> </tt>
	796	<a name="L745"></a><tt class="py-lineno">745</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">sqrt</tt><tt class="py-op">(</tt><tt class="py-name">a</tt><tt class="py-op">*</tt><tt class="py-number">2</tt> <tt class="py-op">-</tt> <tt class="py-name">es</tt><tt class="py-op"></tt><tt class="py-name">a</tt><tt class="py-op">**</tt><tt class="py-number">2</tt><tt class="py-op">)</tt> </tt>
	797	<a name="L746"></a><tt class="py-lineno">746</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-op">(</tt><tt class="py-name">a</tt> <tt class="py-op">-</tt> <tt class="py-name">b</tt><tt class="py-op">)</tt><tt class="py-op">/</tt><tt class="py-name">a</tt> </tt>
	798	<a name="L747"></a><tt class="py-lineno">747</tt> <tt class="py-line"> <tt class="py-keyword">else</tt><tt class="py-op">:</tt> </tt>
	799	<a name="L748"></a><tt class="py-lineno">748</tt> <tt class="py-line"> <tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt> </tt>
	800	<a name="L749"></a><tt class="py-lineno">749</tt> <tt class="py-line"> <tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-number">0.</tt> </tt>
	801	<a name="L750"></a><tt class="py-lineno">750</tt> <tt class="py-line"> <tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-number">0.</tt> </tt>
	802	<a name="L751"></a><tt class="py-lineno">751</tt> <tt class="py-line"> <tt class="py-comment">#msg='ellipse name or a, plus one of f,es,b must be given'</tt> </tt>
	803	<a name="L752"></a><tt class="py-lineno">752</tt> <tt class="py-line"> <tt class="py-comment">#raise ValueError(msg)</tt> </tt>
	804	<a name="L753"></a><tt class="py-lineno">753</tt> <tt class="py-line"> <tt class="py-keyword">if</tt> <tt class="py-name">math</tt><tt class="py-op">.</tt><tt class="py-name">fabs</tt><tt class="py-op">(</tt><tt class="py-name">f</tt><tt class="py-op">)</tt> <tt class="py-op"><</tt> <tt class="py-number">1.e-8</tt><tt class="py-op">:</tt> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">sphere</tt> <tt class="py-op">=</tt> <tt class="py-name">True</tt> </tt>
	805	<a name="L754"></a><tt class="py-lineno">754</tt> <tt class="py-line"> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">a</tt> <tt class="py-op">=</tt> <tt class="py-name">a</tt> </tt>
	806	<a name="L755"></a><tt class="py-lineno">755</tt> <tt class="py-line"> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">b</tt> <tt class="py-op">=</tt> <tt class="py-name">b</tt> </tt>
	807	<a name="L756"></a><tt class="py-lineno">756</tt> <tt class="py-line"> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">f</tt> <tt class="py-op">=</tt> <tt class="py-name">f</tt> </tt>
	808	<a name="L757"></a><tt class="py-lineno">757</tt> <tt class="py-line"> <tt class="py-name">self</tt><tt class="py-op">.</tt><tt class="py-name">es</tt> <tt class="py-op">=</tt> <tt class="py-name">es</tt> </tt>
	809	<a name="L758"></a><tt class="py-lineno">758</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt id="link-17" class="py-name" targets="Class pyproj.Geod=pyproj.Geod-class.html"><a title="pyproj.Geod" class="py-name" href="#" onclick="return doclink('link-17', 'Geod', 'link-17');">Geod</a></tt><tt class="py-op">.</tt><tt id="link-18" class="py-name"><a title="pyproj.Geod.__new__
	810	pyproj.Proj.__new__" class="py-name" href="#" onclick="return doclink('link-18', '__new__', 'link-7');">__new__</a></tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">,</tt> <tt class="py-name">a</tt><tt class="py-op">,</tt> <tt class="py-name">f</tt><tt class="py-op">)</tt> </tt>
	811	</div><a name="L759"></a><tt class="py-lineno">759</tt> <tt class="py-line"> </tt>
	812	<a name="Geod.fwd"></a><div id="Geod.fwd-def"><a name="L760"></a><tt class="py-lineno">760</tt> <a class="py-toggle" href="#" id="Geod.fwd-toggle" onclick="return toggle('Geod.fwd');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj.Geod-class.html#fwd">fwd</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">lons</tt><tt class="py-op">,</tt> <tt class="py-param">lats</tt><tt class="py-op">,</tt> <tt class="py-param">az</tt><tt class="py-op">,</tt> <tt class="py-param">dist</tt><tt class="py-op">,</tt> <tt class="py-param">radians</tt><tt class="py-op">=</tt><tt class="py-name">False</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	813	</div><div id="Geod.fwd-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Geod.fwd-expanded"><a name="L761"></a><tt class="py-lineno">761</tt> <tt class="py-line"> <tt class="py-docstring">"""</tt> </tt>
	814	<a name="L762"></a><tt class="py-lineno">762</tt> <tt class="py-line"><tt class="py-docstring"> forward transformation - Returns longitudes, latitudes and back</tt> </tt>
	815	<a name="L763"></a><tt class="py-lineno">763</tt> <tt class="py-line"><tt class="py-docstring"> azimuths of terminus points given longitudes (lons) and</tt> </tt>
	816	<a name="L764"></a><tt class="py-lineno">764</tt> <tt class="py-line"><tt class="py-docstring"> latitudes (lats) of initial points, plus forward azimuths (az)</tt> </tt>
	817	<a name="L765"></a><tt class="py-lineno">765</tt> <tt class="py-line"><tt class="py-docstring"> and distances (dist).</tt> </tt>
	818	<a name="L766"></a><tt class="py-lineno">766</tt> <tt class="py-line"><tt class="py-docstring"> latitudes (lats) of initial points, plus forward azimuths (az)</tt> </tt>
	819	<a name="L767"></a><tt class="py-lineno">767</tt> <tt class="py-line"><tt class="py-docstring"> and distances (dist).</tt> </tt>
	820	<a name="L768"></a><tt class="py-lineno">768</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	821	<a name="L769"></a><tt class="py-lineno">769</tt> <tt class="py-line"><tt class="py-docstring"> Works with numpy and regular python array objects, python</tt> </tt>
	822	<a name="L770"></a><tt class="py-lineno">770</tt> <tt class="py-line"><tt class="py-docstring"> sequences and scalars.</tt> </tt>
	823	<a name="L771"></a><tt class="py-lineno">771</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	824	<a name="L772"></a><tt class="py-lineno">772</tt> <tt class="py-line"><tt class="py-docstring"> if radians=True, lons/lats and azimuths are radians instead of</tt> </tt>
	825	<a name="L773"></a><tt class="py-lineno">773</tt> <tt class="py-line"><tt class="py-docstring"> degrees. Distances are in meters.</tt> </tt>
	826	<a name="L774"></a><tt class="py-lineno">774</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
	827	<a name="L775"></a><tt class="py-lineno">775</tt> <tt class="py-line"> <tt class="py-comment"># process inputs, making copies that support buffer API.</tt> </tt>
	828	<a name="L776"></a><tt class="py-lineno">776</tt> <tt class="py-line"> <tt class="py-name">inx</tt><tt class="py-op">,</tt> <tt class="py-name">xisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">xislist</tt><tt class="py-op">,</tt> <tt class="py-name">xistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">lons</tt><tt class="py-op">)</tt> </tt>
	829	<a name="L777"></a><tt class="py-lineno">777</tt> <tt class="py-line"> <tt class="py-name">iny</tt><tt class="py-op">,</tt> <tt class="py-name">yisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">yislist</tt><tt class="py-op">,</tt> <tt class="py-name">yistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">lats</tt><tt class="py-op">)</tt> </tt>
	830	<a name="L778"></a><tt class="py-lineno">778</tt> <tt class="py-line"> <tt class="py-name">inz</tt><tt class="py-op">,</tt> <tt class="py-name">zisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">zislist</tt><tt class="py-op">,</tt> <tt class="py-name">zistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">az</tt><tt class="py-op">)</tt> </tt>
	831	<a name="L779"></a><tt class="py-lineno">779</tt> <tt class="py-line"> <tt class="py-name">ind</tt><tt class="py-op">,</tt> <tt class="py-name">disfloat</tt><tt class="py-op">,</tt> <tt class="py-name">dislist</tt><tt class="py-op">,</tt> <tt class="py-name">distuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">dist</tt><tt class="py-op">)</tt> </tt>
	832	<a name="L780"></a><tt class="py-lineno">780</tt> <tt class="py-line"> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt id="link-19" class="py-name"><a title="pyproj.Geod" class="py-name" href="#" onclick="return doclink('link-19', 'Geod', 'link-17');">Geod</a></tt><tt class="py-op">.</tt><tt class="py-name">_fwd</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">,</tt> <tt class="py-name">inx</tt><tt class="py-op">,</tt> <tt class="py-name">iny</tt><tt class="py-op">,</tt> <tt class="py-name">inz</tt><tt class="py-op">,</tt> <tt class="py-name">ind</tt><tt class="py-op">,</tt> <tt class="py-name">radians</tt><tt class="py-op">=</tt><tt class="py-name">radians</tt><tt class="py-op">)</tt> </tt>
	833	<a name="L781"></a><tt class="py-lineno">781</tt> <tt class="py-line"> <tt class="py-comment"># if inputs were lists, tuples or floats, convert back.</tt> </tt>
	834	<a name="L782"></a><tt class="py-lineno">782</tt> <tt class="py-line"> <tt class="py-name">outx</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">xisfloat</tt><tt class="py-op">,</tt><tt class="py-name">xislist</tt><tt class="py-op">,</tt><tt class="py-name">xistuple</tt><tt class="py-op">,</tt><tt class="py-name">inx</tt><tt class="py-op">)</tt> </tt>
	835	<a name="L783"></a><tt class="py-lineno">783</tt> <tt class="py-line"> <tt class="py-name">outy</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">yisfloat</tt><tt class="py-op">,</tt><tt class="py-name">yislist</tt><tt class="py-op">,</tt><tt class="py-name">xistuple</tt><tt class="py-op">,</tt><tt class="py-name">iny</tt><tt class="py-op">)</tt> </tt>
	836	<a name="L784"></a><tt class="py-lineno">784</tt> <tt class="py-line"> <tt class="py-name">outz</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">zisfloat</tt><tt class="py-op">,</tt><tt class="py-name">zislist</tt><tt class="py-op">,</tt><tt class="py-name">zistuple</tt><tt class="py-op">,</tt><tt class="py-name">inz</tt><tt class="py-op">)</tt> </tt>
	837	<a name="L785"></a><tt class="py-lineno">785</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">outx</tt><tt class="py-op">,</tt> <tt class="py-name">outy</tt><tt class="py-op">,</tt> <tt class="py-name">outz</tt> </tt>
	838	</div><a name="L786"></a><tt class="py-lineno">786</tt> <tt class="py-line"> </tt>
	839	<a name="Geod.inv"></a><div id="Geod.inv-def"><a name="L787"></a><tt class="py-lineno">787</tt> <a class="py-toggle" href="#" id="Geod.inv-toggle" onclick="return toggle('Geod.inv');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj.Geod-class.html#inv">inv</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt><tt class="py-param">lons1</tt><tt class="py-op">,</tt><tt class="py-param">lats1</tt><tt class="py-op">,</tt><tt class="py-param">lons2</tt><tt class="py-op">,</tt><tt class="py-param">lats2</tt><tt class="py-op">,</tt><tt class="py-param">radians</tt><tt class="py-op">=</tt><tt class="py-name">False</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	840	</div><div id="Geod.inv-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Geod.inv-expanded"><a name="L788"></a><tt class="py-lineno">788</tt> <tt class="py-line"> <tt class="py-docstring">"""</tt> </tt>
	841	<a name="L789"></a><tt class="py-lineno">789</tt> <tt class="py-line"><tt class="py-docstring"> inverse transformation - Returns forward and back azimuths, plus</tt> </tt>
	842	<a name="L790"></a><tt class="py-lineno">790</tt> <tt class="py-line"><tt class="py-docstring"> distances between initial points (specified by lons1, lats1) and</tt> </tt>
	843	<a name="L791"></a><tt class="py-lineno">791</tt> <tt class="py-line"><tt class="py-docstring"> terminus points (specified by lons2, lats2).</tt> </tt>
	844	<a name="L792"></a><tt class="py-lineno">792</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	845	<a name="L793"></a><tt class="py-lineno">793</tt> <tt class="py-line"><tt class="py-docstring"> Works with numpy and regular python array objects, python</tt> </tt>
	846	<a name="L794"></a><tt class="py-lineno">794</tt> <tt class="py-line"><tt class="py-docstring"> sequences and scalars.</tt> </tt>
	847	<a name="L795"></a><tt class="py-lineno">795</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	848	<a name="L796"></a><tt class="py-lineno">796</tt> <tt class="py-line"><tt class="py-docstring"> if radians=True, lons/lats and azimuths are radians instead of</tt> </tt>
	849	<a name="L797"></a><tt class="py-lineno">797</tt> <tt class="py-line"><tt class="py-docstring"> degrees. Distances are in meters.</tt> </tt>
	850	<a name="L798"></a><tt class="py-lineno">798</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
	851	<a name="L799"></a><tt class="py-lineno">799</tt> <tt class="py-line"> <tt class="py-comment"># process inputs, making copies that support buffer API.</tt> </tt>
	852	<a name="L800"></a><tt class="py-lineno">800</tt> <tt class="py-line"> <tt class="py-name">inx</tt><tt class="py-op">,</tt> <tt class="py-name">xisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">xislist</tt><tt class="py-op">,</tt> <tt class="py-name">xistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">lons1</tt><tt class="py-op">)</tt> </tt>
	853	<a name="L801"></a><tt class="py-lineno">801</tt> <tt class="py-line"> <tt class="py-name">iny</tt><tt class="py-op">,</tt> <tt class="py-name">yisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">yislist</tt><tt class="py-op">,</tt> <tt class="py-name">yistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">lats1</tt><tt class="py-op">)</tt> </tt>
	854	<a name="L802"></a><tt class="py-lineno">802</tt> <tt class="py-line"> <tt class="py-name">inz</tt><tt class="py-op">,</tt> <tt class="py-name">zisfloat</tt><tt class="py-op">,</tt> <tt class="py-name">zislist</tt><tt class="py-op">,</tt> <tt class="py-name">zistuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">lons2</tt><tt class="py-op">)</tt> </tt>
	855	<a name="L803"></a><tt class="py-lineno">803</tt> <tt class="py-line"> <tt class="py-name">ind</tt><tt class="py-op">,</tt> <tt class="py-name">disfloat</tt><tt class="py-op">,</tt> <tt class="py-name">dislist</tt><tt class="py-op">,</tt> <tt class="py-name">distuple</tt> <tt class="py-op">=</tt> <tt class="py-name">_copytobuffer</tt><tt class="py-op">(</tt><tt class="py-name">lats2</tt><tt class="py-op">)</tt> </tt>
	856	<a name="L804"></a><tt class="py-lineno">804</tt> <tt class="py-line"> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt id="link-20" class="py-name"><a title="pyproj.Geod" class="py-name" href="#" onclick="return doclink('link-20', 'Geod', 'link-17');">Geod</a></tt><tt class="py-op">.</tt><tt class="py-name">_inv</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">,</tt><tt class="py-name">inx</tt><tt class="py-op">,</tt><tt class="py-name">iny</tt><tt class="py-op">,</tt><tt class="py-name">inz</tt><tt class="py-op">,</tt><tt class="py-name">ind</tt><tt class="py-op">,</tt><tt class="py-name">radians</tt><tt class="py-op">=</tt><tt class="py-name">radians</tt><tt class="py-op">)</tt> </tt>
	857	<a name="L805"></a><tt class="py-lineno">805</tt> <tt class="py-line"> <tt class="py-comment"># if inputs were lists, tuples or floats, convert back.</tt> </tt>
	858	<a name="L806"></a><tt class="py-lineno">806</tt> <tt class="py-line"> <tt class="py-name">outx</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">xisfloat</tt><tt class="py-op">,</tt><tt class="py-name">xislist</tt><tt class="py-op">,</tt><tt class="py-name">xistuple</tt><tt class="py-op">,</tt><tt class="py-name">inx</tt><tt class="py-op">)</tt> </tt>
	859	<a name="L807"></a><tt class="py-lineno">807</tt> <tt class="py-line"> <tt class="py-name">outy</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">yisfloat</tt><tt class="py-op">,</tt><tt class="py-name">yislist</tt><tt class="py-op">,</tt><tt class="py-name">xistuple</tt><tt class="py-op">,</tt><tt class="py-name">iny</tt><tt class="py-op">)</tt> </tt>
	860	<a name="L808"></a><tt class="py-lineno">808</tt> <tt class="py-line"> <tt class="py-name">outz</tt> <tt class="py-op">=</tt> <tt class="py-name">_convertback</tt><tt class="py-op">(</tt><tt class="py-name">zisfloat</tt><tt class="py-op">,</tt><tt class="py-name">zislist</tt><tt class="py-op">,</tt><tt class="py-name">zistuple</tt><tt class="py-op">,</tt><tt class="py-name">inz</tt><tt class="py-op">)</tt> </tt>
	861	<a name="L809"></a><tt class="py-lineno">809</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">outx</tt><tt class="py-op">,</tt> <tt class="py-name">outy</tt><tt class="py-op">,</tt> <tt class="py-name">outz</tt> </tt>
	862	</div><a name="L810"></a><tt class="py-lineno">810</tt> <tt class="py-line"> </tt>
	863	<a name="Geod.npts"></a><div id="Geod.npts-def"><a name="L811"></a><tt class="py-lineno">811</tt> <a class="py-toggle" href="#" id="Geod.npts-toggle" onclick="return toggle('Geod.npts');">-</a><tt class="py-line"> <tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj.Geod-class.html#npts">npts</a><tt class="py-op">(</tt><tt class="py-param">self</tt><tt class="py-op">,</tt> <tt class="py-param">lon1</tt><tt class="py-op">,</tt> <tt class="py-param">lat1</tt><tt class="py-op">,</tt> <tt class="py-param">lon2</tt><tt class="py-op">,</tt> <tt class="py-param">lat2</tt><tt class="py-op">,</tt> <tt class="py-param">npts</tt><tt class="py-op">,</tt> <tt class="py-param">radians</tt><tt class="py-op">=</tt><tt class="py-name">False</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	864	</div><div id="Geod.npts-collapsed" style="display:none;" pad="+++" indent="++++++++"></div><div id="Geod.npts-expanded"><a name="L812"></a><tt class="py-lineno">812</tt> <tt class="py-line"> <tt class="py-docstring">"""</tt> </tt>
	865	<a name="L813"></a><tt class="py-lineno">813</tt> <tt class="py-line"><tt class="py-docstring"> Given a single initial point and terminus point (specified by</tt> </tt>
	866	<a name="L814"></a><tt class="py-lineno">814</tt> <tt class="py-line"><tt class="py-docstring"> python floats lon1,lat1 and lon2,lat2), returns a list of</tt> </tt>
	867	<a name="L815"></a><tt class="py-lineno">815</tt> <tt class="py-line"><tt class="py-docstring"> longitude/latitude pairs describing npts equally spaced</tt> </tt>
	868	<a name="L816"></a><tt class="py-lineno">816</tt> <tt class="py-line"><tt class="py-docstring"> intermediate points along the geodesic between the initial and</tt> </tt>
	869	<a name="L817"></a><tt class="py-lineno">817</tt> <tt class="py-line"><tt class="py-docstring"> terminus points.</tt> </tt>
	870	<a name="L818"></a><tt class="py-lineno">818</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	871	<a name="L819"></a><tt class="py-lineno">819</tt> <tt class="py-line"><tt class="py-docstring"> if radians=True, lons/lats are radians instead of degrees.</tt> </tt>
	872	<a name="L820"></a><tt class="py-lineno">820</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	873	<a name="L821"></a><tt class="py-lineno">821</tt> <tt class="py-line"><tt class="py-docstring"> Example usage:</tt> </tt>
	874	<a name="L822"></a><tt class="py-lineno">822</tt> <tt class="py-line"><tt class="py-docstring"></tt> </tt>
	875	<a name="L823"></a><tt class="py-lineno">823</tt> <tt class="py-line"><tt class="py-docstring"> >>> from pyproj import Geod</tt> </tt>
	876	<a name="L824"></a><tt class="py-lineno">824</tt> <tt class="py-line"><tt class="py-docstring"> >>> g = Geod(ellps='clrk66') # Use Clarke 1966 ellipsoid.</tt> </tt>
	877	<a name="L825"></a><tt class="py-lineno">825</tt> <tt class="py-line"><tt class="py-docstring"> >>> # specify the lat/lons of Boston and Portland.</tt> </tt>
	878	<a name="L826"></a><tt class="py-lineno">826</tt> <tt class="py-line"><tt class="py-docstring"> >>> g = Geod(ellps='clrk66') # Use Clarke 1966 ellipsoid.</tt> </tt>
	879	<a name="L827"></a><tt class="py-lineno">827</tt> <tt class="py-line"><tt class="py-docstring"> >>> # specify the lat/lons of Boston and Portland.</tt> </tt>
	880	<a name="L828"></a><tt class="py-lineno">828</tt> <tt class="py-line"><tt class="py-docstring"> >>> boston_lat = 42.+(15./60.); boston_lon = -71.-(7./60.)</tt> </tt>
	881	<a name="L829"></a><tt class="py-lineno">829</tt> <tt class="py-line"><tt class="py-docstring"> >>> portland_lat = 45.+(31./60.); portland_lon = -123.-(41./60.)</tt> </tt>
	882	<a name="L830"></a><tt class="py-lineno">830</tt> <tt class="py-line"><tt class="py-docstring"> >>> # find ten equally spaced points between Boston and Portland.</tt> </tt>
	883	<a name="L831"></a><tt class="py-lineno">831</tt> <tt class="py-line"><tt class="py-docstring"> >>> lonlats = g.npts(boston_lon,boston_lat,portland_lon,portland_lat,10)</tt> </tt>
	884	<a name="L832"></a><tt class="py-lineno">832</tt> <tt class="py-line"><tt class="py-docstring"> >>> for lon,lat in lonlats: '%6.3f %7.3f' % (lat, lon)</tt> </tt>
	885	<a name="L833"></a><tt class="py-lineno">833</tt> <tt class="py-line"><tt class="py-docstring"> '43.528 -75.414'</tt> </tt>
	886	<a name="L834"></a><tt class="py-lineno">834</tt> <tt class="py-line"><tt class="py-docstring"> '44.637 -79.883'</tt> </tt>
	887	<a name="L835"></a><tt class="py-lineno">835</tt> <tt class="py-line"><tt class="py-docstring"> '45.565 -84.512'</tt> </tt>
	888	<a name="L836"></a><tt class="py-lineno">836</tt> <tt class="py-line"><tt class="py-docstring"> '46.299 -89.279'</tt> </tt>
	889	<a name="L837"></a><tt class="py-lineno">837</tt> <tt class="py-line"><tt class="py-docstring"> '46.830 -94.156'</tt> </tt>
	890	<a name="L838"></a><tt class="py-lineno">838</tt> <tt class="py-line"><tt class="py-docstring"> '47.149 -99.112'</tt> </tt>
	891	<a name="L839"></a><tt class="py-lineno">839</tt> <tt class="py-line"><tt class="py-docstring"> '47.251 -104.106'</tt> </tt>
	892	<a name="L840"></a><tt class="py-lineno">840</tt> <tt class="py-line"><tt class="py-docstring"> '47.136 -109.100'</tt> </tt>
	893	<a name="L841"></a><tt class="py-lineno">841</tt> <tt class="py-line"><tt class="py-docstring"> '46.805 -114.051'</tt> </tt>
	894	<a name="L842"></a><tt class="py-lineno">842</tt> <tt class="py-line"><tt class="py-docstring"> '46.262 -118.924'</tt> </tt>
	895	<a name="L843"></a><tt class="py-lineno">843</tt> <tt class="py-line"><tt class="py-docstring"> >>> # test with radians=True (inputs/outputs in radians, not degrees)</tt> </tt>
	896	<a name="L844"></a><tt class="py-lineno">844</tt> <tt class="py-line"><tt class="py-docstring"> >>> import math</tt> </tt>
	897	<a name="L845"></a><tt class="py-lineno">845</tt> <tt class="py-line"><tt class="py-docstring"> >>> dg2rad = math.radians(1.)</tt> </tt>
	898	<a name="L846"></a><tt class="py-lineno">846</tt> <tt class="py-line"><tt class="py-docstring"> >>> rad2dg = math.degrees(1.)</tt> </tt>
	899	<a name="L847"></a><tt class="py-lineno">847</tt> <tt class="py-line"><tt class="py-docstring"> >>> lonlats = g.npts(dg2radboston_lon,dg2radboston_lat,dg2radportland_lon,dg2radportland_lat,10,radians=True)</tt> </tt>
	900	<a name="L848"></a><tt class="py-lineno">848</tt> <tt class="py-line"><tt class="py-docstring"> >>> for lon,lat in lonlats: '%6.3f %7.3f' % (rad2dglat, rad2dglon)</tt> </tt>
	901	<a name="L849"></a><tt class="py-lineno">849</tt> <tt class="py-line"><tt class="py-docstring"> '43.528 -75.414'</tt> </tt>
	902	<a name="L850"></a><tt class="py-lineno">850</tt> <tt class="py-line"><tt class="py-docstring"> '44.637 -79.883'</tt> </tt>
	903	<a name="L851"></a><tt class="py-lineno">851</tt> <tt class="py-line"><tt class="py-docstring"> '45.565 -84.512'</tt> </tt>
	904	<a name="L852"></a><tt class="py-lineno">852</tt> <tt class="py-line"><tt class="py-docstring"> '46.299 -89.279'</tt> </tt>
	905	<a name="L853"></a><tt class="py-lineno">853</tt> <tt class="py-line"><tt class="py-docstring"> '46.830 -94.156'</tt> </tt>
	906	<a name="L854"></a><tt class="py-lineno">854</tt> <tt class="py-line"><tt class="py-docstring"> '47.149 -99.112'</tt> </tt>
	907	<a name="L855"></a><tt class="py-lineno">855</tt> <tt class="py-line"><tt class="py-docstring"> '47.251 -104.106'</tt> </tt>
	908	<a name="L856"></a><tt class="py-lineno">856</tt> <tt class="py-line"><tt class="py-docstring"> '47.136 -109.100'</tt> </tt>
	909	<a name="L857"></a><tt class="py-lineno">857</tt> <tt class="py-line"><tt class="py-docstring"> '46.805 -114.051'</tt> </tt>
	910	<a name="L858"></a><tt class="py-lineno">858</tt> <tt class="py-line"><tt class="py-docstring"> '46.262 -118.924'</tt> </tt>
	911	<a name="L859"></a><tt class="py-lineno">859</tt> <tt class="py-line"><tt class="py-docstring"> """</tt> </tt>
	912	<a name="L860"></a><tt class="py-lineno">860</tt> <tt class="py-line"> <tt class="py-name">lons</tt><tt class="py-op">,</tt> <tt class="py-name">lats</tt> <tt class="py-op">=</tt> <tt class="py-name">_proj</tt><tt class="py-op">.</tt><tt id="link-21" class="py-name"><a title="pyproj.Geod" class="py-name" href="#" onclick="return doclink('link-21', 'Geod', 'link-17');">Geod</a></tt><tt class="py-op">.</tt><tt class="py-name">_npts</tt><tt class="py-op">(</tt><tt class="py-name">self</tt><tt class="py-op">,</tt> <tt class="py-name">lon1</tt><tt class="py-op">,</tt> <tt class="py-name">lat1</tt><tt class="py-op">,</tt> <tt class="py-name">lon2</tt><tt class="py-op">,</tt> <tt class="py-name">lat2</tt><tt class="py-op">,</tt> <tt id="link-22" class="py-name" targets="Method pyproj.Geod.npts()=pyproj.Geod-class.html#npts"><a title="pyproj.Geod.npts" class="py-name" href="#" onclick="return doclink('link-22', 'npts', 'link-22');">npts</a></tt><tt class="py-op">,</tt> <tt class="py-name">radians</tt><tt class="py-op">=</tt><tt class="py-name">radians</tt><tt class="py-op">)</tt> </tt>
	913	<a name="L861"></a><tt class="py-lineno">861</tt> <tt class="py-line"> <tt class="py-keyword">return</tt> <tt class="py-name">list</tt><tt class="py-op">(</tt><tt class="py-name">zip</tt><tt class="py-op">(</tt><tt class="py-name">lons</tt><tt class="py-op">,</tt> <tt class="py-name">lats</tt><tt class="py-op">)</tt><tt class="py-op">)</tt> </tt>
	914	</div></div><a name="L862"></a><tt class="py-lineno">862</tt> <tt class="py-line"> </tt>
	915	<a name="test"></a><div id="test-def"><a name="L863"></a><tt class="py-lineno">863</tt> <a class="py-toggle" href="#" id="test-toggle" onclick="return toggle('test');">-</a><tt class="py-line"><tt class="py-keyword">def</tt> <a class="py-def-name" href="pyproj-module.html#test">test</a><tt class="py-op">(</tt><tt class="py-op">)</tt><tt class="py-op">:</tt> </tt>
	916	</div><div id="test-collapsed" style="display:none;" pad="+++" indent="++++"></div><div id="test-expanded"><a name="L864"></a><tt class="py-lineno">864</tt> <tt class="py-line"> <tt class="py-docstring">"""run the examples in the docstrings using the doctest module"""</tt> </tt>
	917	<a name="L865"></a><tt class="py-lineno">865</tt> <tt class="py-line"> <tt class="py-keyword">import</tt> <tt class="py-name">doctest</tt><tt class="py-op">,</tt> <tt id="link-23" class="py-name"><a title="pyproj" class="py-name" href="#" onclick="return doclink('link-23', 'pyproj', 'link-0');">pyproj</a></tt> </tt>
	918	<a name="L866"></a><tt class="py-lineno">866</tt> <tt class="py-line"> <tt class="py-name">doctest</tt><tt class="py-op">.</tt><tt class="py-name">testmod</tt><tt class="py-op">(</tt><tt id="link-24" class="py-name"><a title="pyproj" class="py-name" href="#" onclick="return doclink('link-24', 'pyproj', 'link-0');">pyproj</a></tt><tt class="py-op">,</tt><tt class="py-name">verbose</tt><tt class="py-op">=</tt><tt class="py-name">True</tt><tt class="py-op">)</tt> </tt>
	919	</div><a name="L867"></a><tt class="py-lineno">867</tt> <tt class="py-line"> </tt>
	920	<a name="L868"></a><tt class="py-lineno">868</tt> <tt class="py-line"><tt class="py-keyword">if</tt> <tt class="py-name">__name__</tt> <tt class="py-op">==</tt> <tt class="py-string">"__main__"</tt><tt class="py-op">:</tt> <tt id="link-25" class="py-name" targets="Function pyproj.test()=pyproj-module.html#test"><a title="pyproj.test" class="py-name" href="#" onclick="return doclink('link-25', 'test', 'link-25');">test</a></tt><tt class="py-op">(</tt><tt class="py-op">)</tt> </tt>
	921	<a name="L869"></a><tt class="py-lineno">869</tt> <tt class="py-line"> </tt><script type="text/javascript">
917	922	<!--
918	923	expandto(location.href);
919	924	// -->

946	951	<table border="0" cellpadding="0" cellspacing="0" width="100%%">
947	952	<tr>
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949		Generated by Epydoc 3.0.1 on Fri Jan 11 09:07:23 2013
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	509	Generated by Epydoc 3.0.1 on Mon Dec 29 15:13:06 2014
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137	137	returns True if projection in geographic (lon/lat) coordinates</td>
138	138	<td align="right" valign="top">
139	139	<span class="codelink"><a href="pyproj-pysrc.html#Proj.is_latlong">source code</a></span>
	140
	141	</td>
	142	</tr>
	143	</table>
	144
	145	</td>
	146	</tr>
	147	<tr>
	148	<td width="15%" align="right" valign="top" class="summary">
	149	<span class="summary-type"> </span>
	150	</td><td class="summary">
	151	<table width="100%" cellpadding="0" cellspacing="0" border="0">
	152	<tr>
	153	<td><span class="summary-sig"><a href="pyproj.Proj-class.html#to_latlong" class="summary-sig-name">to_latlong</a>(<span class="summary-sig-arg">self</span>)</span><br />
	154	returns an equivalent Proj in the corresponding lon/lat coordinates.</td>
	155	<td align="right" valign="top">
	156	<span class="codelink"><a href="pyproj-pysrc.html#Proj.to_latlong">source code</a></span>
140	157
141	158	</td>
142	159	</tr>

367	384	</dl>
368	385	</td></tr></table>
369	386	</div>
	387	<a name="to_latlong"></a>
	388	<div>
	389	<table class="details" border="1" cellpadding="3"
	390	cellspacing="0" width="100%" bgcolor="white">
	391	<tr><td>
	392	<table width="100%" cellpadding="0" cellspacing="0" border="0">
	393	<tr valign="top"><td>
	394	<h3 class="epydoc"><span class="sig"><span class="sig-name">to_latlong</span>(<span class="sig-arg">self</span>)</span>
	395	</h3>
	396	</td><td align="right" valign="top"
	397	><span class="codelink"><a href="pyproj-pysrc.html#Proj.to_latlong">source code</a></span>
	398	</td>
	399	</tr></table>
	400
	401	<p>returns an equivalent Proj in the corresponding lon/lat coordinates.
	402	(see pj_latlong_from_proj() in the Proj.4 C API)</p>
	403	<dl class="fields">
	404	<dt>Overrides:
	405	<i>unreachable</i>.Proj.to_latlong
	406	</dt>
	407	</dl>
	408	</td></tr></table>
	409	</div>
370	410	<br />
371	411	<!-- ==================== NAVIGATION BAR ==================== -->
372	412	<table class="navbar" border="0" width="100%" cellpadding="0"

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lib/pyproj/__init__.py less more

22	22	that support the Python buffer protocol (regular python and
23	23	numpy array objects).
24	24
25		Download: http://code.google.com/p/pyproj/downloads/list
	25	Download: http://python.org/pypi/pyproj
26	26
27	27	Requirements: python 2.4 or higher.
28	28

390	390	outy = _convertback(yisfloat,yislist,xistuple,iny)
391	391	return outx, outy
392	392
	393	def to_latlong(self):
	394	"""returns an equivalent Proj in the corresponding lon/lat
	395	coordinates. (see pj_latlong_from_proj() in the Proj.4 C API)"""
	396	return _proj.Proj.to_latlong(self)
	397
393	398	def is_latlong(self):
394	399	"""returns True if projection in geographic (lon/lat) coordinates"""
395	400	return _proj.Proj.is_latlong(self)

+1717

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lib/pyproj/data/epsg less more

302	302	# Carthage
303	303	<4223> +proj=longlat +datum=carthage +no_defs <>
304	304	# Chua
305		<4224> +proj=longlat +ellps=intl +towgs84=-134,229,-29,0,0,0,0 +no_defs <>
	305	<4224> +proj=longlat +ellps=intl +towgs84=-143.87,243.37,-33.52,0,0,0,0 +no_defs <>
306	306	# Corrego Alegre 1970-72
307		<4225> +proj=longlat +ellps=intl +towgs84=-206,172,-6,0,0,0,0 +no_defs <>
	307	<4225> +proj=longlat +ellps=intl +towgs84=-205.57,168.77,-4.12,0,0,0,0 +no_defs <>
308	308	# Cote d'Ivoire
309	309	<4226> +proj=longlat +a=6378249.2 +b=6356515 +no_defs <>
310	310	# Deir ez Zor

501	501	<4470> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs <>
502	502	# Cadastre 1997
503	503	<4475> +proj=longlat +ellps=intl +towgs84=-381.788,-57.501,-256.673,0,0,0,0 +no_defs <>
504		# Mexican Datum of 1993
	504	# Mexico ITRF92
505	505	<4483> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs <>
506	506	# China Geodetic Coordinate System 2000
507	507	<4490> +proj=longlat +ellps=GRS80 +no_defs <>

546	546	# NAD83(CSRS)
547	547	<4617> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs <>
548	548	# SAD69
549		<4618> +proj=longlat +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +no_defs <>
	549	<4618> +proj=longlat +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +no_defs <>
550	550	# SWEREF99
551	551	<4619> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs <>
552	552	# Point 58

735	735	<4721> +proj=longlat +ellps=intl +towgs84=265.025,384.929,-194.046,0,0,0,0 +no_defs <>
736	736	# South Georgia 1968
737	737	<4722> +proj=longlat +ellps=intl +towgs84=-794,119,-298,0,0,0,0 +no_defs <>
738		# Grand Cayman 1959
739		<4723> +proj=longlat +ellps=clrk66 +towgs84=67.8,106.1,138.8,0,0,0,0 +no_defs <>
	738	# GCGD59
	739	<4723> +proj=longlat +ellps=clrk66 +towgs84=-179.483,-69.379,-27.584,-7.862,8.163,6.042,-13.925 +no_defs <>
740	740	# Diego Garcia 1969
741	741	<4724> +proj=longlat +ellps=intl +towgs84=208,-435,-229,0,0,0,0 +no_defs <>
742	742	# Johnston Island 1961
743	743	<4725> +proj=longlat +ellps=intl +towgs84=189,-79,-202,0,0,0,0 +no_defs <>
744		# Little Cayman 1961
745		<4726> +proj=longlat +ellps=clrk66 +towgs84=42,124,147,0,0,0,0 +no_defs <>
	744	# SIGD61
	745	<4726> +proj=longlat +ellps=clrk66 +towgs84=8.853,-52.644,180.304,-0.393,-2.323,2.96,-24.081 +no_defs <>
746	746	# Midway 1961
747	747	<4727> +proj=longlat +ellps=intl +towgs84=403,-81,277,0,0,0,0 +no_defs <>
748	748	# Pico de las Nieves 1984

884	884	# SLD99
885	885	<5233> +proj=longlat +a=6377276.345 +b=6356075.41314024 +towgs84=-0.293,766.95,87.713,0.195704,1.69507,3.47302,-0.039338 +no_defs <>
886	886	# GDBD2009
887		<5246> +proj=longlat +ellps=GRS80 +no_defs <>
	887	<5246> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs <>
888	888	# TUREF
889	889	<5252> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs <>
890	890	# DRUKREF 03

908	908	# SIRGAS_ES2007.8
909	909	<5393> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs <>
910	910	# Ocotepeque 1935
911		<5451> +proj=longlat +ellps=clrk66 +towgs84=213.11,9.37,-74.95,0,0,0,0 +no_defs <>
	911	<5451> +proj=longlat +ellps=clrk66 +towgs84=205,96,-98,0,0,0,0 +no_defs <>
912	912	# Sibun Gorge 1922
913	913	<5464> +proj=longlat +a=6378293.645208759 +b=6356617.987679838 +no_defs <>
914	914	# Panama-Colon 1911

918	918	# Corrego Alegre 1961
919	919	<5524> +proj=longlat +ellps=intl +no_defs <>
920	920	# SAD69(96)
921		<5527> +proj=longlat +ellps=aust_SA +no_defs <>
	921	<5527> +proj=longlat +ellps=aust_SA +towgs84=-67.35,3.88,-38.22,0,0,0,0 +no_defs <>
922	922	# PNG94
923	923	<5546> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs <>
924		# Ukraine 2000
	924	# UCS-2000
925	925	<5561> +proj=longlat +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +no_defs <>
926	926	# FEH2010
927	927	<5593> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs <>
928	928	# DB_REF
929	929	<5681> +proj=longlat +ellps=bessel +no_defs <>
	930	# TGD2005
	931	<5886> +proj=longlat +ellps=GRS80 +no_defs <>
	932	# CIGD11
	933	<6135> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs <>
	934	# Nepal 1981
	935	<6207> +proj=longlat +a=6377276.345 +b=6356075.41314024 +towgs84=293.17,726.18,245.36,0,0,0,0 +no_defs <>
	936	# NAD83(2011)
	937	<6318> +proj=longlat +ellps=GRS80 +no_defs <>
	938	# NAD83(PA11)
	939	<6322> +proj=longlat +ellps=GRS80 +no_defs <>
	940	# NAD83(MA11)
	941	<6325> +proj=longlat +ellps=GRS80 +no_defs <>
	942	# Mexico ITRF2008
	943	<6365> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs <>
	944	# JGD2011
	945	<6668> +proj=longlat +ellps=GRS80 +no_defs <>
	946	# RDN2008
	947	<6706> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs <>
	948	# NAD83(CORS96)
	949	<6783> +proj=longlat +ellps=GRS80 +no_defs <>
930	950	# Anguilla 1957 / British West Indies Grid
931	951	<2000> +proj=tmerc +lat_0=0 +lon_0=-62 +k=0.9995000000000001 +x_0=400000 +y_0=0 +ellps=clrk80 +units=m +no_defs <>
932	952	# Antigua 1943 / British West Indies Grid

2908	2928	<2989> +proj=utm +zone=20 +ellps=WGS84 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
2909	2929	# Reunion 1947 / TM Reunion (deprecated)
2910	2930	<2990> +proj=tmerc +lat_0=-21.11666666666667 +lon_0=55.53333333333333 +k=1 +x_0=50000 +y_0=160000 +ellps=intl +towgs84=94,-948,-1262,0,0,0,0 +units=m +no_defs <>
2911		# NAD83 / Oregon Lambert
	2931	# NAD83 / Oregon LCC (m)
2912	2932	<2991> +proj=lcc +lat_1=43 +lat_2=45.5 +lat_0=41.75 +lon_0=-120.5 +x_0=400000 +y_0=0 +datum=NAD83 +units=m +no_defs <>
2913		# NAD83 / Oregon Lambert (ft)
	2933	# NAD83 / Oregon GIC Lambert (ft)
2914	2934	<2992> +proj=lcc +lat_1=43 +lat_2=45.5 +lat_0=41.75 +lon_0=-120.5 +x_0=399999.9999984 +y_0=0 +datum=NAD83 +units=ft +no_defs <>
2915		# NAD83(HARN) / Oregon Lambert
	2935	# NAD83(HARN) / Oregon LCC (m)
2916	2936	<2993> +proj=lcc +lat_1=43 +lat_2=45.5 +lat_0=41.75 +lon_0=-120.5 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
2917		# NAD83(HARN) / Oregon Lambert (ft)
	2937	# NAD83(HARN) / Oregon GIC Lambert (ft)
2918	2938	<2994> +proj=lcc +lat_1=43 +lat_2=45.5 +lat_0=41.75 +lon_0=-120.5 +x_0=399999.9999984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=ft +no_defs <>
2919	2939	# IGN53 Mare / UTM zone 58S
2920	2940	<2995> +proj=utm +zone=58 +south +ellps=intl +towgs84=287.58,177.78,-135.41,0,0,0,0 +units=m +no_defs <>

3645	3665	<3354> +proj=utm +zone=32 +south +ellps=intl +units=m +no_defs <>
3646	3666	# Egypt Gulf of Suez S-650 TL / Red Belt
3647	3667	<3355> +proj=tmerc +lat_0=30 +lon_0=31 +k=1 +x_0=615000 +y_0=810000 +ellps=helmert +towgs84=-146.21,112.63,4.05,0,0,0,0 +units=m +no_defs <>
3648		# Grand Cayman 1959 / UTM zone 17N
3649		<3356> +proj=utm +zone=17 +ellps=clrk66 +towgs84=67.8,106.1,138.8,0,0,0,0 +units=m +no_defs <>
3650		# Little Cayman 1961 / UTM zone 17N
3651		<3357> +proj=utm +zone=17 +ellps=clrk66 +towgs84=42,124,147,0,0,0,0 +units=m +no_defs <>
	3668	# Grand Cayman 1959 / UTM zone 17N (deprecated)
	3669	<3356> +proj=utm +zone=17 +ellps=clrk66 +towgs84=-179.483,-69.379,-27.584,-7.862,8.163,6.042,-13.925 +units=m +no_defs <>
	3670	# Little Cayman 1961 / UTM zone 17N (deprecated)
	3671	<3357> +proj=utm +zone=17 +ellps=clrk66 +towgs84=8.853,-52.644,180.304,-0.393,-2.323,2.96,-24.081 +units=m +no_defs <>
3652	3672	# NAD83(HARN) / North Carolina
3653	3673	<3358> +proj=lcc +lat_1=36.16666666666666 +lat_2=34.33333333333334 +lat_0=33.75 +lon_0=-79 +x_0=609601.22 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
3654	3674	# NAD83(HARN) / North Carolina (ftUS) (deprecated)

3767	3787	<3415> +proj=lcc +lat_1=18 +lat_2=24 +lat_0=21 +lon_0=114 +x_0=500000 +y_0=500000 +ellps=WGS72 +towgs84=0,0,1.9,0,0,0.814,-0.38 +units=m +no_defs <>
3768	3788	# ETRS89 / Austria Lambert
3769	3789	<3416> +proj=lcc +lat_1=49 +lat_2=46 +lat_0=47.5 +lon_0=13.33333333333333 +x_0=400000 +y_0=400000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
3770		# NAD83 / Iowa North (ft US)
	3790	# NAD83 / Iowa North (ftUS)
3771	3791	<3417> +proj=lcc +lat_1=43.26666666666667 +lat_2=42.06666666666667 +lat_0=41.5 +lon_0=-93.5 +x_0=1500000 +y_0=999999.9999898402 +datum=NAD83 +units=us-ft +no_defs <>
3772		# NAD83 / Iowa South (ft US)
	3792	# NAD83 / Iowa South (ftUS)
3773	3793	<3418> +proj=lcc +lat_1=41.78333333333333 +lat_2=40.61666666666667 +lat_0=40 +lon_0=-93.5 +x_0=500000.00001016 +y_0=0 +datum=NAD83 +units=us-ft +no_defs <>
3774		# NAD83 / Kansas North (ft US)
	3794	# NAD83 / Kansas North (ftUS)
3775	3795	<3419> +proj=lcc +lat_1=39.78333333333333 +lat_2=38.71666666666667 +lat_0=38.33333333333334 +lon_0=-98 +x_0=399999.99998984 +y_0=0 +datum=NAD83 +units=us-ft +no_defs <>
3776		# NAD83 / Kansas South (ft US)
	3796	# NAD83 / Kansas South (ftUS)
3777	3797	<3420> +proj=lcc +lat_1=38.56666666666667 +lat_2=37.26666666666667 +lat_0=36.66666666666666 +lon_0=-98.5 +x_0=399999.99998984 +y_0=399999.99998984 +datum=NAD83 +units=us-ft +no_defs <>
3778		# NAD83 / Nevada East (ft US)
	3798	# NAD83 / Nevada East (ftUS)
3779	3799	<3421> +proj=tmerc +lat_0=34.75 +lon_0=-115.5833333333333 +k=0.9999 +x_0=200000.00001016 +y_0=8000000.000010163 +datum=NAD83 +units=us-ft +no_defs <>
3780		# NAD83 / Nevada Central (ft US)
	3800	# NAD83 / Nevada Central (ftUS)
3781	3801	<3422> +proj=tmerc +lat_0=34.75 +lon_0=-116.6666666666667 +k=0.9999 +x_0=500000.00001016 +y_0=6000000 +datum=NAD83 +units=us-ft +no_defs <>
3782		# NAD83 / Nevada West (ft US)
	3802	# NAD83 / Nevada West (ftUS)
3783	3803	<3423> +proj=tmerc +lat_0=34.75 +lon_0=-118.5833333333333 +k=0.9999 +x_0=800000.0000101599 +y_0=3999999.99998984 +datum=NAD83 +units=us-ft +no_defs <>
3784		# NAD83 / New Jersey (ft US)
	3804	# NAD83 / New Jersey (ftUS)
3785	3805	<3424> +proj=tmerc +lat_0=38.83333333333334 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +datum=NAD83 +units=us-ft +no_defs <>
3786		# NAD83(HARN) / Iowa North (ft US)
	3806	# NAD83(HARN) / Iowa North (ftUS)
3787	3807	<3425> +proj=lcc +lat_1=43.26666666666667 +lat_2=42.06666666666667 +lat_0=41.5 +lon_0=-93.5 +x_0=1500000 +y_0=999999.9999898402 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
3788		# NAD83(HARN) / Iowa South (ft US)
	3808	# NAD83(HARN) / Iowa South (ftUS)
3789	3809	<3426> +proj=lcc +lat_1=41.78333333333333 +lat_2=40.61666666666667 +lat_0=40 +lon_0=-93.5 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
3790		# NAD83(HARN) / Kansas North (ft US)
	3810	# NAD83(HARN) / Kansas North (ftUS)
3791	3811	<3427> +proj=lcc +lat_1=39.78333333333333 +lat_2=38.71666666666667 +lat_0=38.33333333333334 +lon_0=-98 +x_0=399999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
3792		# NAD83(HARN) / Kansas South (ft US)
	3812	# NAD83(HARN) / Kansas South (ftUS)
3793	3813	<3428> +proj=lcc +lat_1=38.56666666666667 +lat_2=37.26666666666667 +lat_0=36.66666666666666 +lon_0=-98.5 +x_0=399999.99998984 +y_0=399999.99998984 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
3794		# NAD83(HARN) / Nevada East (ft US)
	3814	# NAD83(HARN) / Nevada East (ftUS)
3795	3815	<3429> +proj=tmerc +lat_0=34.75 +lon_0=-115.5833333333333 +k=0.9999 +x_0=200000.00001016 +y_0=8000000.000010163 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
3796		# NAD83(HARN) / Nevada Central (ft US)
	3816	# NAD83(HARN) / Nevada Central (ftUS)
3797	3817	<3430> +proj=tmerc +lat_0=34.75 +lon_0=-116.6666666666667 +k=0.9999 +x_0=500000.00001016 +y_0=6000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
3798		# NAD83(HARN) / Nevada West (ft US)
	3818	# NAD83(HARN) / Nevada West (ftUS)
3799	3819	<3431> +proj=tmerc +lat_0=34.75 +lon_0=-118.5833333333333 +k=0.9999 +x_0=800000.0000101599 +y_0=3999999.99998984 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
3800		# NAD83(HARN) / New Jersey (ft US)
	3820	# NAD83(HARN) / New Jersey (ftUS)
3801	3821	<3432> +proj=tmerc +lat_0=38.83333333333334 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
3802	3822	# NAD83 / Arkansas North (ftUS)
3803	3823	<3433> +proj=lcc +lat_1=36.23333333333333 +lat_2=34.93333333333333 +lat_0=34.33333333333334 +lon_0=-92 +x_0=399999.99998984 +y_0=0 +datum=NAD83 +units=us-ft +no_defs <>

4007	4027	<3535> +proj=tmerc +lat_0=37.5 +lon_0=-87.08333333333333 +k=0.999966667 +x_0=900000 +y_0=249999.9998983998 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
4008	4028	# NAD83(NSRS2007) / Iowa North
4009	4029	<3536> +proj=lcc +lat_1=43.26666666666667 +lat_2=42.06666666666667 +lat_0=41.5 +lon_0=-93.5 +x_0=1500000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4010		# NAD83(NSRS2007) / Iowa North (ft US)
	4030	# NAD83(NSRS2007) / Iowa North (ftUS)
4011	4031	<3537> +proj=lcc +lat_1=43.26666666666667 +lat_2=42.06666666666667 +lat_0=41.5 +lon_0=-93.5 +x_0=1500000 +y_0=999999.9999898402 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
4012	4032	# NAD83(NSRS2007) / Iowa South
4013	4033	<3538> +proj=lcc +lat_1=41.78333333333333 +lat_2=40.61666666666667 +lat_0=40 +lon_0=-93.5 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4014		# NAD83(NSRS2007) / Iowa South (ft US)
	4034	# NAD83(NSRS2007) / Iowa South (ftUS)
4015	4035	<3539> +proj=lcc +lat_1=41.78333333333333 +lat_2=40.61666666666667 +lat_0=40 +lon_0=-93.5 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
4016	4036	# NAD83(NSRS2007) / Kansas North
4017	4037	<3540> +proj=lcc +lat_1=39.78333333333333 +lat_2=38.71666666666667 +lat_0=38.33333333333334 +lon_0=-98 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4018		# NAD83(NSRS2007) / Kansas North (ft US)
	4038	# NAD83(NSRS2007) / Kansas North (ftUS)
4019	4039	<3541> +proj=lcc +lat_1=39.78333333333333 +lat_2=38.71666666666667 +lat_0=38.33333333333334 +lon_0=-98 +x_0=399999.99998984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
4020	4040	# NAD83(NSRS2007) / Kansas South
4021	4041	<3542> +proj=lcc +lat_1=38.56666666666667 +lat_2=37.26666666666667 +lat_0=36.66666666666666 +lon_0=-98.5 +x_0=400000 +y_0=400000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4022		# NAD83(NSRS2007) / Kansas South (ft US)
	4042	# NAD83(NSRS2007) / Kansas South (ftUS)
4023	4043	<3543> +proj=lcc +lat_1=38.56666666666667 +lat_2=37.26666666666667 +lat_0=36.66666666666666 +lon_0=-98.5 +x_0=399999.99998984 +y_0=399999.99998984 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
4024	4044	# NAD83(NSRS2007) / Kentucky North
4025	4045	<3544> +proj=lcc +lat_1=37.96666666666667 +lat_2=38.96666666666667 +lat_0=37.5 +lon_0=-84.25 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>

4149	4169	<3606> +proj=lcc +lat_1=43 +lat_2=40 +lat_0=39.83333333333334 +lon_0=-100 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4150	4170	# NAD83(NSRS2007) / Nevada Central
4151	4171	<3607> +proj=tmerc +lat_0=34.75 +lon_0=-116.6666666666667 +k=0.9999 +x_0=500000 +y_0=6000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4152		# NAD83(NSRS2007) / Nevada Central (ft US)
	4172	# NAD83(NSRS2007) / Nevada Central (ftUS)
4153	4173	<3608> +proj=tmerc +lat_0=34.75 +lon_0=-116.6666666666667 +k=0.9999 +x_0=500000.00001016 +y_0=6000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
4154	4174	# NAD83(NSRS2007) / Nevada East
4155	4175	<3609> +proj=tmerc +lat_0=34.75 +lon_0=-115.5833333333333 +k=0.9999 +x_0=200000 +y_0=8000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4156		# NAD83(NSRS2007) / Nevada East (ft US)
	4176	# NAD83(NSRS2007) / Nevada East (ftUS)
4157	4177	<3610> +proj=tmerc +lat_0=34.75 +lon_0=-115.5833333333333 +k=0.9999 +x_0=200000.00001016 +y_0=8000000.000010163 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
4158	4178	# NAD83(NSRS2007) / Nevada West
4159	4179	<3611> +proj=tmerc +lat_0=34.75 +lon_0=-118.5833333333333 +k=0.9999 +x_0=800000 +y_0=4000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4160		# NAD83(NSRS2007) / Nevada West (ft US)
	4180	# NAD83(NSRS2007) / Nevada West (ftUS)
4161	4181	<3612> +proj=tmerc +lat_0=34.75 +lon_0=-118.5833333333333 +k=0.9999 +x_0=800000.0000101599 +y_0=3999999.99998984 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
4162	4182	# NAD83(NSRS2007) / New Hampshire
4163	4183	<3613> +proj=tmerc +lat_0=42.5 +lon_0=-71.66666666666667 +k=0.999966667 +x_0=300000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>

4165	4185	<3614> +proj=tmerc +lat_0=42.5 +lon_0=-71.66666666666667 +k=0.999966667 +x_0=300000.0000000001 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
4166	4186	# NAD83(NSRS2007) / New Jersey
4167	4187	<3615> +proj=tmerc +lat_0=38.83333333333334 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4168		# NAD83(NSRS2007) / New Jersey (ft US)
	4188	# NAD83(NSRS2007) / New Jersey (ftUS)
4169	4189	<3616> +proj=tmerc +lat_0=38.83333333333334 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
4170	4190	# NAD83(NSRS2007) / New Mexico Central
4171	4191	<3617> +proj=tmerc +lat_0=31 +lon_0=-106.25 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>

4219	4239	<3641> +proj=lcc +lat_1=35.23333333333333 +lat_2=33.93333333333333 +lat_0=33.33333333333334 +lon_0=-98 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4220	4240	# NAD83(NSRS2007) / Oklahoma South (ftUS)
4221	4241	<3642> +proj=lcc +lat_1=35.23333333333333 +lat_2=33.93333333333333 +lat_0=33.33333333333334 +lon_0=-98 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
4222		# NAD83(NSRS2007) / Oregon Lambert
	4242	# NAD83(NSRS2007) / Oregon LCC (m)
4223	4243	<3643> +proj=lcc +lat_1=43 +lat_2=45.5 +lat_0=41.75 +lon_0=-120.5 +x_0=400000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4224		# NAD83(NSRS2007) / Oregon Lambert (ft)
	4244	# NAD83(NSRS2007) / Oregon GIC Lambert (ft)
4225	4245	<3644> +proj=lcc +lat_1=43 +lat_2=45.5 +lat_0=41.75 +lon_0=-120.5 +x_0=399999.9999984 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=ft +no_defs <>
4226	4246	# NAD83(NSRS2007) / Oregon North
4227	4247	<3645> +proj=lcc +lat_1=46 +lat_2=44.33333333333334 +lat_0=43.66666666666666 +lon_0=-120.5 +x_0=2500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>

4741	4761	# RGRDC 2005 / UTM zone 35S
4742	4762	<4063> +proj=utm +zone=35 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4743	4763	# Chua / UTM zone 23S
4744		<4071> +proj=utm +zone=23 +south +ellps=intl +towgs84=-134,229,-29,0,0,0,0 +units=m +no_defs <>
	4764	<4071> +proj=utm +zone=23 +south +ellps=intl +towgs84=-143.87,243.37,-33.52,0,0,0,0 +units=m +no_defs <>
4745	4765	# REGCAN95 / UTM zone 27N
4746	4766	<4082> +proj=utm +zone=27 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4747	4767	# REGCAN95 / UTM zone 28N

4848	4868	<4467> +proj=utm +zone=21 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4849	4869	# RGM04 / UTM zone 38S
4850	4870	<4471> +proj=utm +zone=38 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4851		# Cadastre 1997 / UTM zone 38S
	4871	# Cadastre 1997 / UTM zone 38S (deprecated)
4852	4872	<4474> +proj=utm +zone=38 +south +ellps=intl +towgs84=-382,-59,-262,0,0,0,0 +units=m +no_defs <>
4853		# Mexican Datum of 1993 / UTM zone 11N
	4873	# Mexico ITRF92 / UTM zone 11N
4854	4874	<4484> +proj=utm +zone=11 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4855		# Mexican Datum of 1993 / UTM zone 12N
	4875	# Mexico ITRF92 / UTM zone 12N
4856	4876	<4485> +proj=utm +zone=12 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4857		# Mexican Datum of 1993 / UTM zone 13N
	4877	# Mexico ITRF92 / UTM zone 13N
4858	4878	<4486> +proj=utm +zone=13 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4859		# Mexican Datum of 1993 / UTM zone 14N
	4879	# Mexico ITRF92 / UTM zone 14N
4860	4880	<4487> +proj=utm +zone=14 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4861		# Mexican Datum of 1993 / UTM zone 15N
	4881	# Mexico ITRF92 / UTM zone 15N
4862	4882	<4488> +proj=utm +zone=15 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4863		# Mexican Datum of 1993 / UTM zone 16N
	4883	# Mexico ITRF92 / UTM zone 16N
4864	4884	<4489> +proj=utm +zone=16 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
4865	4885	# CGCS2000 / Gauss-Kruger zone 13
4866	4886	<4491> +proj=tmerc +lat_0=0 +lon_0=75 +k=1 +x_0=13500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>

5316	5336	# ETRS89 / LCC Germany (E-N)
5317	5337	<5243> +proj=lcc +lat_1=48.66666666666666 +lat_2=53.66666666666666 +lat_0=51 +lon_0=10.5 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
5318	5338	# GDBD2009 / Brunei BRSO
5319		<5247> +proj=omerc +lat_0=4 +lonc=115 +alpha=53.31580995 +k=0.99984 +x_0=0 +y_0=0 +no_uoff +gamma=53.13010236111111 +ellps=GRS80 +units=m +no_defs <>
	5339	<5247> +proj=omerc +lat_0=4 +lonc=115 +alpha=53.31580995 +k=0.99984 +x_0=0 +y_0=0 +no_uoff +gamma=53.13010236111111 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
5320	5340	# TUREF / TM27
5321	5341	<5253> +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
5322	5342	# TUREF / TM30

5442	5462	# SIRGAS 2000 / UTM zone 26S
5443	5463	<5396> +proj=utm +zone=26 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
5444	5464	# Ocotepeque 1935 / Costa Rica Norte
5445		<5456> +proj=lcc +lat_1=10.46666666666667 +lat_0=10.46666666666667 +lon_0=-84.33333333333333 +k_0=0.99995696 +x_0=500000 +y_0=271820.522 +ellps=clrk66 +towgs84=213.11,9.37,-74.95,0,0,0,0 +units=m +no_defs <>
	5465	<5456> +proj=lcc +lat_1=10.46666666666667 +lat_0=10.46666666666667 +lon_0=-84.33333333333333 +k_0=0.99995696 +x_0=500000 +y_0=271820.522 +ellps=clrk66 +towgs84=205,96,-98,0,0,0,0 +units=m +no_defs <>
5446	5466	# Ocotepeque 1935 / Costa Rica Sur
5447		<5457> +proj=lcc +lat_1=9 +lat_0=9 +lon_0=-83.66666666666667 +k_0=0.99995696 +x_0=500000 +y_0=327987.436 +ellps=clrk66 +towgs84=213.11,9.37,-74.95,0,0,0,0 +units=m +no_defs <>
	5467	<5457> +proj=lcc +lat_1=9 +lat_0=9 +lon_0=-83.66666666666667 +k_0=0.99995696 +x_0=500000 +y_0=327987.436 +ellps=clrk66 +towgs84=205,96,-98,0,0,0,0 +units=m +no_defs <>
5448	5468	# Ocotepeque 1935 / Guatemala Norte (deprecated)
5449	5469	<5458> +proj=lcc +lat_1=16.81666666666667 +lat_0=16.81666666666667 +lon_0=-90.33333333333333 +k_0=0.99992226 +x_0=500000 +y_0=292209.579 +datum=NAD27 +units=m +no_defs <>
5450	5470	# Ocotepeque 1935 / Guatemala Sur
5451		<5459> +proj=lcc +lat_1=14.9 +lat_0=14.9 +lon_0=-90.33333333333333 +k_0=0.99989906 +x_0=500000 +y_0=325992.681 +ellps=clrk66 +towgs84=213.11,9.37,-74.95,0,0,0,0 +units=m +no_defs <>
	5471	<5459> +proj=lcc +lat_1=14.9 +lat_0=14.9 +lon_0=-90.33333333333333 +k_0=0.99989906 +x_0=500000 +y_0=325992.681 +ellps=clrk66 +towgs84=205,96,-98,0,0,0,0 +units=m +no_defs <>
5452	5472	# Ocotepeque 1935 / El Salvador Lambert
5453		<5460> +proj=lcc +lat_1=13.78333333333333 +lat_0=13.78333333333333 +lon_0=-89 +k_0=0.99996704 +x_0=500000 +y_0=295809.184 +ellps=clrk66 +towgs84=213.11,9.37,-74.95,0,0,0,0 +units=m +no_defs <>
	5473	<5460> +proj=lcc +lat_1=13.78333333333333 +lat_0=13.78333333333333 +lon_0=-89 +k_0=0.99996704 +x_0=500000 +y_0=295809.184 +ellps=clrk66 +towgs84=205,96,-98,0,0,0,0 +units=m +no_defs <>
5454	5474	# Ocotepeque 1935 / Nicaragua Norte
5455		<5461> +proj=lcc +lat_1=13.86666666666667 +lat_0=13.86666666666667 +lon_0=-85.5 +k_0=0.99990314 +x_0=500000 +y_0=359891.816 +ellps=clrk66 +towgs84=213.11,9.37,-74.95,0,0,0,0 +units=m +no_defs <>
	5475	<5461> +proj=lcc +lat_1=13.86666666666667 +lat_0=13.86666666666667 +lon_0=-85.5 +k_0=0.99990314 +x_0=500000 +y_0=359891.816 +ellps=clrk66 +towgs84=205,96,-98,0,0,0,0 +units=m +no_defs <>
5456	5476	# Ocotepeque 1935 / Nicaragua Sur
5457		<5462> +proj=lcc +lat_1=11.73333333333333 +lat_0=11.73333333333333 +lon_0=-85.5 +k_0=0.9999222800000001 +x_0=500000 +y_0=288876.327 +ellps=clrk66 +towgs84=213.11,9.37,-74.95,0,0,0,0 +units=m +no_defs <>
	5477	<5462> +proj=lcc +lat_1=11.73333333333333 +lat_0=11.73333333333333 +lon_0=-85.5 +k_0=0.9999222800000001 +x_0=500000 +y_0=288876.327 +ellps=clrk66 +towgs84=205,96,-98,0,0,0,0 +units=m +no_defs <>
5458	5478	# SAD69 / UTM zone 17N
5459		<5463> +proj=utm +zone=17 +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	5479	<5463> +proj=utm +zone=17 +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
5460	5480	# Sibun Gorge 1922 / Colony Grid (deprecated)
5461	5481	<5466> +proj=tmerc +lat_0=17.06124194444444 +lon_0=-88.6318575 +k=1 +x_0=66220.02833082761 +y_0=135779.5099885299 +a=6378293.645208759 +b=6356617.987679838 +units=m +no_defs <>
5462	5482	# Panama-Colon 1911 / Panama Lambert

5492	5512	# WGS 84 / Gabon TM 2011
5493	5513	<5523> +proj=tmerc +lat_0=0 +lon_0=11.5 +k=0.9996 +x_0=1500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs <>
5494	5514	# SAD69(96) / Brazil Polyconic
5495		<5530> +proj=poly +lat_0=0 +lon_0=-54 +x_0=5000000 +y_0=10000000 +ellps=aust_SA +units=m +no_defs <>
	5515	<5530> +proj=poly +lat_0=0 +lon_0=-54 +x_0=5000000 +y_0=10000000 +ellps=aust_SA +towgs84=-67.35,3.88,-38.22,0,0,0,0 +units=m +no_defs <>
5496	5516	# SAD69(96) / UTM zone 21S
5497		<5531> +proj=utm +zone=21 +south +ellps=aust_SA +units=m +no_defs <>
	5517	<5531> +proj=utm +zone=21 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22,0,0,0,0 +units=m +no_defs <>
5498	5518	# SAD69(96) / UTM zone 22S (deprecated)
5499		<5532> +proj=utm +zone=22 +south +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	5519	<5532> +proj=utm +zone=22 +south +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
5500	5520	# SAD69(96) / UTM zone 23S
5501		<5533> +proj=utm +zone=23 +south +ellps=aust_SA +units=m +no_defs <>
	5521	<5533> +proj=utm +zone=23 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22,0,0,0,0 +units=m +no_defs <>
5502	5522	# SAD69(96) / UTM zone 24S
5503		<5534> +proj=utm +zone=24 +south +ellps=aust_SA +units=m +no_defs <>
	5523	<5534> +proj=utm +zone=24 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22,0,0,0,0 +units=m +no_defs <>
5504	5524	# SAD69(96) / UTM zone 25S
5505		<5535> +proj=utm +zone=25 +south +ellps=aust_SA +units=m +no_defs <>
	5525	<5535> +proj=utm +zone=25 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22,0,0,0,0 +units=m +no_defs <>
5506	5526	# Corrego Alegre 1961 / UTM zone 21S
5507	5527	<5536> +proj=utm +zone=21 +south +ellps=intl +units=m +no_defs <>
5508	5528	# Corrego Alegre 1961 / UTM zone 22S

5518	5538	# PNG94 / PNGMG94 zone 56
5519	5539	<5552> +proj=utm +zone=56 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
5520	5540	# Ocotepeque 1935 / Guatemala Norte
5521		<5559> +proj=lcc +lat_1=16.81666666666667 +lat_0=16.81666666666667 +lon_0=-90.33333333333333 +k_0=0.99992226 +x_0=500000 +y_0=292209.579 +ellps=clrk66 +towgs84=213.11,9.37,-74.95,0,0,0,0 +units=m +no_defs <>
5522		# Ukraine 2000 / Gauss-Kruger zone 4
	5541	<5559> +proj=lcc +lat_1=16.81666666666667 +lat_0=16.81666666666667 +lon_0=-90.33333333333333 +k_0=0.99992226 +x_0=500000 +y_0=292209.579 +ellps=clrk66 +towgs84=205,96,-98,0,0,0,0 +units=m +no_defs <>
	5542	# UCS-2000 / Gauss-Kruger zone 4
5523	5543	<5562> +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=4500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5524		# Ukraine 2000 / Gauss-Kruger zone 5
	5544	# UCS-2000 / Gauss-Kruger zone 5
5525	5545	<5563> +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=5500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5526		# Ukraine 2000 / Gauss-Kruger zone 6
	5546	# UCS-2000 / Gauss-Kruger zone 6
5527	5547	<5564> +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=6500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5528		# Ukraine 2000 / Gauss-Kruger zone 7
	5548	# UCS-2000 / Gauss-Kruger zone 7
5529	5549	<5565> +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=7500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5530		# Ukraine 2000 / Gauss-Kruger CM 21E
	5550	# UCS-2000 / Gauss-Kruger CM 21E
5531	5551	<5566> +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5532		# Ukraine 2000 / Gauss-Kruger CM 27E
	5552	# UCS-2000 / Gauss-Kruger CM 27E
5533	5553	<5567> +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5534		# Ukraine 2000 / Gauss-Kruger CM 33E
	5554	# UCS-2000 / Gauss-Kruger CM 33E
5535	5555	<5568> +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5536		# Ukraine 2000 / Gauss-Kruger CM 39E
	5556	# UCS-2000 / Gauss-Kruger CM 39E
5537	5557	<5569> +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5538		# Ukraine 2000 / 3-degree Gauss-Kruger zone 7
	5558	# UCS-2000 / 3-degree Gauss-Kruger zone 7 (deprecated)
5539	5559	<5570> +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=7500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5540		# Ukraine 2000 / 3-degree Gauss-Kruger zone 8
	5560	# UCS-2000 / 3-degree Gauss-Kruger zone 8 (deprecated)
5541	5561	<5571> +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=8500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5542		# Ukraine 2000 / 3-degree Gauss-Kruger zone 9
	5562	# UCS-2000 / 3-degree Gauss-Kruger zone 9 (deprecated)
5543	5563	<5572> +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=9500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5544		# Ukraine 2000 / 3-degree Gauss-Kruger zone 10
	5564	# UCS-2000 / 3-degree Gauss-Kruger zone 10 (deprecated)
5545	5565	<5573> +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=10500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5546		# Ukraine 2000 / 3-degree Gauss-Kruger zone 11
	5566	# UCS-2000 / 3-degree Gauss-Kruger zone 11 (deprecated)
5547	5567	<5574> +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=11500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5548		# Ukraine 2000 / 3-degree Gauss-Kruger zone 12
	5568	# UCS-2000 / 3-degree Gauss-Kruger zone 12 (deprecated)
5549	5569	<5575> +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=12500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5550		# Ukraine 2000 / 3-degree Gauss-Kruger zone 13
	5570	# UCS-2000 / 3-degree Gauss-Kruger zone 13 (deprecated)
5551	5571	<5576> +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=13500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5552		# Ukraine 2000 / 3-degree Gauss-Kruger CM 21E
	5572	# UCS-2000 / 3-degree Gauss-Kruger CM 21E (deprecated)
5553	5573	<5577> +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5554		# Ukraine 2000 / 3-degree Gauss-Kruger CM 24E
	5574	# UCS-2000 / 3-degree Gauss-Kruger CM 24E (deprecated)
5555	5575	<5578> +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5556		# Ukraine 2000 / 3-degree Gauss-Kruger CM 27E
	5576	# UCS-2000 / 3-degree Gauss-Kruger CM 27E (deprecated)
5557	5577	<5579> +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5558		# Ukraine 2000 / 3-degree Gauss-Kruger CM 30E
	5578	# UCS-2000 / 3-degree Gauss-Kruger CM 30E (deprecated)
5559	5579	<5580> +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5560		# Ukraine 2000 / 3-degree Gauss-Kruger CM 33E
	5580	# UCS-2000 / 3-degree Gauss-Kruger CM 33E (deprecated)
5561	5581	<5581> +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5562		# Ukraine 2000 / 3-degree Gauss-Kruger CM 36E
	5582	# UCS-2000 / 3-degree Gauss-Kruger CM 36E (deprecated)
5563	5583	<5582> +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5564		# Ukraine 2000 / 3-degree Gauss-Kruger CM 39E
	5584	# UCS-2000 / 3-degree Gauss-Kruger CM 39E (deprecated)
5565	5585	<5583> +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=500000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
5566	5586	# NAD27 / New Brunswick Stereographic (NAD27)
5567	5587	<5588> +proj=sterea +lat_0=46.5 +lon_0=-66.5 +k=0.999912 +x_0=304800 +y_0=304800 +datum=NAD27 +units=ft +no_defs <>

5689	5709	# RGRDC 2005 / Congo TM zone 30
5690	5710	<5844> +proj=tmerc +lat_0=0 +lon_0=30 +k=0.9999 +x_0=500000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
5691	5711	# SAD69(96) / UTM zone 22S
5692		<5858> +proj=utm +zone=22 +south +ellps=aust_SA +units=m +no_defs <>
	5712	<5858> +proj=utm +zone=22 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22,0,0,0,0 +units=m +no_defs <>
	5713	# SAD69(96) / UTM zone 18S
	5714	<5875> +proj=utm +zone=18 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22,0,0,0,0 +units=m +no_defs <>
	5715	# SAD69(96) / UTM zone 19S
	5716	<5876> +proj=utm +zone=19 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22,0,0,0,0 +units=m +no_defs <>
	5717	# SAD69(96) / UTM zone 20S
	5718	<5877> +proj=utm +zone=20 +south +ellps=aust_SA +towgs84=-67.35,3.88,-38.22,0,0,0,0 +units=m +no_defs <>
	5719	# Cadastre 1997 / UTM zone 38S
	5720	<5879> +proj=utm +zone=38 +south +ellps=intl +towgs84=-381.788,-57.501,-256.673,0,0,0,0 +units=m +no_defs <>
	5721	# SIRGAS 2000 / Brazil Polyconic
	5722	<5880> +proj=poly +lat_0=0 +lon_0=-54 +x_0=5000000 +y_0=10000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5723	# TGD2005 / Tonga Map Grid
	5724	<5887> +proj=tmerc +lat_0=0 +lon_0=-177 +k=0.9996 +x_0=1500000 +y_0=5000000 +ellps=GRS80 +units=m +no_defs <>
	5725	# JAXA Snow Depth Polar Stereographic North
	5726	<5890> +proj=stere +lat_0=90 +lat_ts=70 +lon_0=90 +k=1 +x_0=0 +y_0=0 +a=6378273 +b=6356889.449 +units=m +no_defs <>
	5727	# WGS 84 / EPSG Arctic Regional zone A1
	5728	<5921> +proj=lcc +lat_1=85 +lat_2=77 +lat_0=81.31722600000001 +lon_0=-111 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5729	# WGS 84 / EPSG Arctic Regional zone A2
	5730	<5922> +proj=lcc +lat_1=85 +lat_2=77 +lat_0=81.31722600000001 +lon_0=-39 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5731	# WGS 84 / EPSG Arctic Regional zone A3
	5732	<5923> +proj=lcc +lat_1=85 +lat_2=77 +lat_0=81.31722600000001 +lon_0=33 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5733	# WGS 84 / EPSG Arctic Regional zone A4
	5734	<5924> +proj=lcc +lat_1=85 +lat_2=77 +lat_0=81.31722600000001 +lon_0=105 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5735	# WGS 84 / EPSG Arctic Regional zone A5
	5736	<5925> +proj=lcc +lat_1=85 +lat_2=77 +lat_0=81.31722600000001 +lon_0=177 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5737	# WGS 84 / EPSG Arctic Regional zone B1
	5738	<5926> +proj=lcc +lat_1=77 +lat_2=69 +lat_0=73.15574086111111 +lon_0=-111 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5739	# WGS 84 / EPSG Arctic Regional zone B2
	5740	<5927> +proj=lcc +lat_1=77 +lat_2=69 +lat_0=73.15574086111111 +lon_0=-39 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5741	# WGS 84 / EPSG Arctic Regional zone B3
	5742	<5928> +proj=lcc +lat_1=77 +lat_2=69 +lat_0=73.15574086111111 +lon_0=33 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5743	# WGS 84 / EPSG Arctic Regional zone B4
	5744	<5929> +proj=lcc +lat_1=77 +lat_2=69 +lat_0=73.15574086111111 +lon_0=105 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5745	# WGS 84 / EPSG Arctic Regional zone B5
	5746	<5930> +proj=lcc +lat_1=77 +lat_2=69 +lat_0=73.15574086111111 +lon_0=177 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5747	# WGS 84 / EPSG Arctic Regional zone C1
	5748	<5931> +proj=lcc +lat_1=69 +lat_2=61 +lat_0=65.10127088888888 +lon_0=-111 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5749	# WGS 84 / EPSG Arctic Regional zone C2
	5750	<5932> +proj=lcc +lat_1=69 +lat_2=61 +lat_0=65.10127088888888 +lon_0=-39 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5751	# WGS 84 / EPSG Arctic Regional zone C3
	5752	<5933> +proj=lcc +lat_1=69 +lat_2=61 +lat_0=65.10127088888888 +lon_0=33 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5753	# WGS 84 / EPSG Arctic Regional zone C4
	5754	<5934> +proj=lcc +lat_1=69 +lat_2=61 +lat_0=65.10127088888888 +lon_0=105 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5755	# WGS 84 / EPSG Arctic Regional zone C5
	5756	<5935> +proj=lcc +lat_1=69 +lat_2=61 +lat_0=65.10127088888888 +lon_0=177 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs <>
	5757	# WGS 84 / EPSG Alaska Polar Stereographic
	5758	<5936> +proj=stere +lat_0=90 +lat_ts=90 +lon_0=-150 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs <>
	5759	# WGS 84 / EPSG Canada Polar Stereographic
	5760	<5937> +proj=stere +lat_0=90 +lat_ts=90 +lon_0=-100 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs <>
	5761	# WGS 84 / EPSG Greenland Polar Stereographic
	5762	<5938> +proj=stere +lat_0=90 +lat_ts=90 +lon_0=-33 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs <>
	5763	# WGS 84 / EPSG Norway Polar Stereographic
	5764	<5939> +proj=stere +lat_0=90 +lat_ts=90 +lon_0=18 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs <>
	5765	# WGS 84 / EPSG Russia Polar Stereographic
	5766	<5940> +proj=stere +lat_0=90 +lat_ts=90 +lon_0=105 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs <>
	5767	# GR96 / EPSG Arctic zone 1-25
	5768	<6050> +proj=lcc +lat_1=87 +lat_2=83.66666666666667 +lat_0=85.43711833333333 +lon_0=-30 +x_0=25500000 +y_0=1500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5769	# GR96 / EPSG Arctic zone 2-18
	5770	<6051> +proj=lcc +lat_1=83.66666666666667 +lat_2=80.33333333333333 +lat_0=82.05842488888888 +lon_0=-52 +x_0=18500000 +y_0=2500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5771	# GR96 / EPSG Arctic zone 2-20
	5772	<6052> +proj=lcc +lat_1=83.66666666666667 +lat_2=80.33333333333333 +lat_0=82.05842488888888 +lon_0=-12 +x_0=20500000 +y_0=2500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5773	# GR96 / EPSG Arctic zone 3-29
	5774	<6053> +proj=lcc +lat_1=80.33333333333333 +lat_2=77 +lat_0=78.70733752777778 +lon_0=-69 +x_0=29500000 +y_0=3500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5775	# GR96 / EPSG Arctic zone 3-31
	5776	<6054> +proj=lcc +lat_1=80.33333333333333 +lat_2=77 +lat_0=78.70733752777778 +lon_0=-39 +x_0=31500000 +y_0=3500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5777	# GR96 / EPSG Arctic zone 3-33
	5778	<6055> +proj=lcc +lat_1=80.33333333333333 +lat_2=77 +lat_0=78.70733752777778 +lon_0=-10 +x_0=33500000 +y_0=3500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5779	# GR96 / EPSG Arctic zone 4-20
	5780	<6056> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=-64 +x_0=20500000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5781	# GR96 / EPSG Arctic zone 4-22
	5782	<6057> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=-39 +x_0=22500000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5783	# GR96 / EPSG Arctic zone 4-24
	5784	<6058> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=-14 +x_0=24500000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5785	# GR96 / EPSG Arctic zone 5-41
	5786	<6059> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=-62 +x_0=41500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5787	# GR96 / EPSG Arctic zone 5-43
	5788	<6060> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=-42 +x_0=43500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5789	# GR96 / EPSG Arctic zone 5-45
	5790	<6061> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=-22 +x_0=45500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5791	# GR96 / EPSG Arctic zone 6-26
	5792	<6062> +proj=lcc +lat_1=70.33333333333333 +lat_2=67 +lat_0=68.68747555555557 +lon_0=-56 +x_0=26500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5793	# GR96 / EPSG Arctic zone 6-28
	5794	<6063> +proj=lcc +lat_1=70.33333333333333 +lat_2=67 +lat_0=68.68747555555557 +lon_0=-38 +x_0=28500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5795	# GR96 / EPSG Arctic zone 6-30
	5796	<6064> +proj=lcc +lat_1=70.33333333333333 +lat_2=67 +lat_0=68.68747555555557 +lon_0=-20 +x_0=30500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5797	# GR96 / EPSG Arctic zone 7-11
	5798	<6065> +proj=lcc +lat_1=67 +lat_2=63.66666666666666 +lat_0=65.35103930555555 +lon_0=-51 +x_0=11500000 +y_0=7500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5799	# GR96 / EPSG Arctic zone 7-13
	5800	<6066> +proj=lcc +lat_1=67 +lat_2=63.66666666666666 +lat_0=65.35103930555555 +lon_0=-34 +x_0=13500000 +y_0=7500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5801	# GR96 / EPSG Arctic zone 8-20
	5802	<6067> +proj=lcc +lat_1=63.66666666666666 +lat_2=60.33333333333334 +lat_0=62.01530688888889 +lon_0=-52 +x_0=20500000 +y_0=8500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5803	# GR96 / EPSG Arctic zone 8-22
	5804	<6068> +proj=lcc +lat_1=63.66666666666666 +lat_2=60.33333333333334 +lat_0=62.01530688888889 +lon_0=-37 +x_0=22500000 +y_0=8500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5805	# ETRS89 / EPSG Arctic zone 2-22
	5806	<6069> +proj=lcc +lat_1=83.66666666666667 +lat_2=80.33333333333333 +lat_0=82.05842488888888 +lon_0=16 +x_0=22500000 +y_0=2500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5807	# ETRS89 / EPSG Arctic zone 3-11
	5808	<6070> +proj=lcc +lat_1=80.33333333333333 +lat_2=77 +lat_0=78.70733752777778 +lon_0=21 +x_0=11500000 +y_0=3500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5809	# ETRS89 / EPSG Arctic zone 4-26
	5810	<6071> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=10 +x_0=26500000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5811	# ETRS89 / EPSG Arctic zone 4-28
	5812	<6072> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=34 +x_0=28500000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5813	# ETRS89 / EPSG Arctic zone 5-11
	5814	<6073> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=14 +x_0=11500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5815	# ETRS89 / EPSG Arctic zone 5-13
	5816	<6074> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=34 +x_0=13500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5817	# WGS 84 / EPSG Arctic zone 2-24
	5818	<6075> +proj=lcc +lat_1=83.66666666666667 +lat_2=80.33333333333333 +lat_0=82.05842488888888 +lon_0=53 +x_0=24500000 +y_0=2500000 +datum=WGS84 +units=m +no_defs <>
	5819	# WGS 84 / EPSG Arctic zone 2-26
	5820	<6076> +proj=lcc +lat_1=83.66666666666667 +lat_2=80.33333333333333 +lat_0=82.05842488888888 +lon_0=93 +x_0=26500000 +y_0=2500000 +datum=WGS84 +units=m +no_defs <>
	5821	# WGS 84 / EPSG Arctic zone 3-13
	5822	<6077> +proj=lcc +lat_1=80.33333333333333 +lat_2=77 +lat_0=78.70733752777778 +lon_0=52 +x_0=13500000 +y_0=3500000 +datum=WGS84 +units=m +no_defs <>
	5823	# WGS 84 / EPSG Arctic zone 3-15
	5824	<6078> +proj=lcc +lat_1=80.33333333333333 +lat_2=77 +lat_0=78.70733752777778 +lon_0=83 +x_0=15500000 +y_0=3500000 +datum=WGS84 +units=m +no_defs <>
	5825	# WGS 84 / EPSG Arctic zone 3-17
	5826	<6079> +proj=lcc +lat_1=80.33333333333333 +lat_2=77 +lat_0=78.70733752777778 +lon_0=114 +x_0=17500000 +y_0=3500000 +datum=WGS84 +units=m +no_defs <>
	5827	# WGS 84 / EPSG Arctic zone 3-19
	5828	<6080> +proj=lcc +lat_1=80.33333333333333 +lat_2=77 +lat_0=78.70733752777778 +lon_0=145 +x_0=19500000 +y_0=3500000 +datum=WGS84 +units=m +no_defs <>
	5829	# WGS 84 / EPSG Arctic zone 4-30
	5830	<6081> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=58 +x_0=30500000 +y_0=4500000 +datum=WGS84 +units=m +no_defs <>
	5831	# WGS 84 / EPSG Arctic zone 4-32
	5832	<6082> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=82 +x_0=32500000 +y_0=4500000 +datum=WGS84 +units=m +no_defs <>
	5833	# WGS 84 / EPSG Arctic zone 4-34
	5834	<6083> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=106 +x_0=34500000 +y_0=4500000 +datum=WGS84 +units=m +no_defs <>
	5835	# WGS 84 / EPSG Arctic zone 4-36
	5836	<6084> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=130 +x_0=36500000 +y_0=4500000 +datum=WGS84 +units=m +no_defs <>
	5837	# WGS 84 / EPSG Arctic zone 4-38
	5838	<6085> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=154 +x_0=38500000 +y_0=4500000 +datum=WGS84 +units=m +no_defs <>
	5839	# WGS 84 / EPSG Arctic zone 4-40
	5840	<6086> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=179 +x_0=40500000 +y_0=4500000 +datum=WGS84 +units=m +no_defs <>
	5841	# WGS 84 / EPSG Arctic zone 5-15
	5842	<6087> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=54 +x_0=15500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs <>
	5843	# WGS 84 / EPSG Arctic zone 5-17
	5844	<6088> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=74 +x_0=17500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs <>
	5845	# WGS 84 / EPSG Arctic zone 5-19
	5846	<6089> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=95 +x_0=19500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs <>
	5847	# WGS 84 / EPSG Arctic zone 5-21
	5848	<6090> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=116 +x_0=21500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs <>
	5849	# WGS 84 / EPSG Arctic zone 5-23
	5850	<6091> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=137 +x_0=23500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs <>
	5851	# WGS 84 / EPSG Arctic zone 5-25
	5852	<6092> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=158 +x_0=25500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs <>
	5853	# WGS 84 / EPSG Arctic zone 5-27
	5854	<6093> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=179 +x_0=27500000 +y_0=5500000 +datum=WGS84 +units=m +no_defs <>
	5855	# NAD83(NSRS2007) / EPSG Arctic zone 5-29
	5856	<6094> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=-163 +x_0=29500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5857	# NAD83(NSRS2007) / EPSG Arctic zone 5-31
	5858	<6095> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=-147 +x_0=31500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5859	# NAD83(NSRS2007) / EPSG Arctic zone 6-14
	5860	<6096> +proj=lcc +lat_1=70.33333333333333 +lat_2=67 +lat_0=68.68747555555557 +lon_0=-165 +x_0=14500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5861	# NAD83(NSRS2007) / EPSG Arctic zone 6-16
	5862	<6097> +proj=lcc +lat_1=70.33333333333333 +lat_2=67 +lat_0=68.68747555555557 +lon_0=-147 +x_0=16500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5863	# NAD83(CSRS) / EPSG Arctic zone 1-23
	5864	<6098> +proj=lcc +lat_1=87 +lat_2=83.66666666666667 +lat_0=85.43711833333333 +lon_0=-90 +x_0=23500000 +y_0=1500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5865	# NAD83(CSRS) / EPSG Arctic zone 2-14
	5866	<6099> +proj=lcc +lat_1=83.66666666666667 +lat_2=80.33333333333333 +lat_0=82.05842488888888 +lon_0=-115 +x_0=14500000 +y_0=2500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5867	# NAD83(CSRS) / EPSG Arctic zone 2-16
	5868	<6100> +proj=lcc +lat_1=83.66666666666667 +lat_2=80.33333333333333 +lat_0=82.05842488888888 +lon_0=-75 +x_0=16500000 +y_0=2500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5869	# NAD83(CSRS) / EPSG Arctic zone 3-25
	5870	<6101> +proj=lcc +lat_1=80.33333333333333 +lat_2=77 +lat_0=78.70733752777778 +lon_0=-129 +x_0=25500000 +y_0=3500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5871	# NAD83(CSRS) / EPSG Arctic zone 3-27
	5872	<6102> +proj=lcc +lat_1=80.33333333333333 +lat_2=77 +lat_0=78.70733752777778 +lon_0=-99 +x_0=27500000 +y_0=3500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5873	# NAD83(CSRS) / EPSG Arctic zone 3-29
	5874	<6103> +proj=lcc +lat_1=80.33333333333333 +lat_2=77 +lat_0=78.70733752777778 +lon_0=-69 +x_0=29500000 +y_0=3500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5875	# NAD83(CSRS) / EPSG Arctic zone 4-14
	5876	<6104> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=-129 +x_0=14500000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5877	# NAD83(CSRS) / EPSG Arctic zone 4-16
	5878	<6105> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=-104 +x_0=16500000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5879	# NAD83(CSRS) / EPSG Arctic zone 4-18
	5880	<6106> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=-79 +x_0=18500000 +y_0=4500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5881	# NAD83(CSRS) / EPSG Arctic zone 5-33
	5882	<6107> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=-131 +x_0=33500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5883	# NAD83(CSRS) / EPSG Arctic zone 5-35
	5884	<6108> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=-111 +x_0=35500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5885	# NAD83(CSRS) / EPSG Arctic zone 5-37
	5886	<6109> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=-91 +x_0=37500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5887	# NAD83(CSRS) / EPSG Arctic zone 5-39
	5888	<6110> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=-71 +x_0=39500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5889	# NAD83(CSRS) / EPSG Arctic zone 6-18
	5890	<6111> +proj=lcc +lat_1=70.33333333333333 +lat_2=67 +lat_0=68.68747555555557 +lon_0=-132 +x_0=18500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5891	# NAD83(CSRS) / EPSG Arctic zone 6-20
	5892	<6112> +proj=lcc +lat_1=70.33333333333333 +lat_2=67 +lat_0=68.68747555555557 +lon_0=-113 +x_0=20500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5893	# NAD83(CSRS) / EPSG Arctic zone 6-22
	5894	<6113> +proj=lcc +lat_1=70.33333333333333 +lat_2=67 +lat_0=68.68747555555557 +lon_0=-94 +x_0=22500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5895	# NAD83(CSRS) / EPSG Arctic zone 6-24
	5896	<6114> +proj=lcc +lat_1=70.33333333333333 +lat_2=67 +lat_0=68.68747555555557 +lon_0=-75 +x_0=24500000 +y_0=6500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5897	# WGS 84 / EPSG Arctic zone 1-27
	5898	<6115> +proj=lcc +lat_1=87 +lat_2=83.66666666666667 +lat_0=85.43711833333333 +lon_0=30 +x_0=27500000 +y_0=1500000 +datum=WGS84 +units=m +no_defs <>
	5899	# WGS 84 / EPSG Arctic zone 1-29
	5900	<6116> +proj=lcc +lat_1=87 +lat_2=83.66666666666667 +lat_0=85.43711833333333 +lon_0=90 +x_0=29500000 +y_0=1500000 +datum=WGS84 +units=m +no_defs <>
	5901	# WGS 84 / EPSG Arctic zone 1-31
	5902	<6117> +proj=lcc +lat_1=87 +lat_2=83.66666666666667 +lat_0=85.43711833333333 +lon_0=150 +x_0=31500000 +y_0=1500000 +datum=WGS84 +units=m +no_defs <>
	5903	# WGS 84 / EPSG Arctic zone 1-21
	5904	<6118> +proj=lcc +lat_1=87 +lat_2=83.66666666666667 +lat_0=85.43711833333333 +lon_0=-150 +x_0=21500000 +y_0=1500000 +datum=WGS84 +units=m +no_defs <>
	5905	# WGS 84 / EPSG Arctic zone 2-28
	5906	<6119> +proj=lcc +lat_1=83.66666666666667 +lat_2=80.33333333333333 +lat_0=82.05842488888888 +lon_0=133 +x_0=28500000 +y_0=2500000 +datum=WGS84 +units=m +no_defs <>
	5907	# WGS 84 / EPSG Arctic zone 2-10
	5908	<6120> +proj=lcc +lat_1=83.66666666666667 +lat_2=80.33333333333333 +lat_0=82.05842488888888 +lon_0=166 +x_0=10500000 +y_0=2500000 +datum=WGS84 +units=m +no_defs <>
	5909	# WGS 84 / EPSG Arctic zone 2-12
	5910	<6121> +proj=lcc +lat_1=83.66666666666667 +lat_2=80.33333333333333 +lat_0=82.05842488888888 +lon_0=-154 +x_0=12500000 +y_0=2500000 +datum=WGS84 +units=m +no_defs <>
	5911	# WGS 84 / EPSG Arctic zone 3-21
	5912	<6122> +proj=lcc +lat_1=80.33333333333333 +lat_2=77 +lat_0=78.70733752777778 +lon_0=176 +x_0=21500000 +y_0=3500000 +datum=WGS84 +units=m +no_defs <>
	5913	# WGS 84 / EPSG Arctic zone 3-23
	5914	<6123> +proj=lcc +lat_1=80.33333333333333 +lat_2=77 +lat_0=78.70733752777778 +lon_0=-153 +x_0=23500000 +y_0=3500000 +datum=WGS84 +units=m +no_defs <>
	5915	# WGS 84 / EPSG Arctic zone 4-12
	5916	<6124> +proj=lcc +lat_1=77 +lat_2=73.66666666666667 +lat_0=75.36440330555556 +lon_0=-155 +x_0=12500000 +y_0=4500000 +datum=WGS84 +units=m +no_defs <>
	5917	# ETRS89 / EPSG Arctic zone 5-47
	5918	<6125> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=-5 +x_0=47500000 +y_0=5500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5919	# Grand Cayman National Grid 1959
	5920	<6128> +proj=utm +zone=17 +ellps=clrk66 +towgs84=-179.483,-69.379,-27.584,-7.862,8.163,6.042,-13.925 +units=ft +no_defs <>
	5921	# Sister Islands National Grid 1961
	5922	<6129> +proj=utm +zone=17 +ellps=clrk66 +towgs84=8.853,-52.644,180.304,-0.393,-2.323,2.96,-24.081 +units=ft +no_defs <>
	5923	# Cayman Islands National Grid 2011 (deprecated)
	5924	<6141> +proj=lcc +lat_1=19.33333333333333 +lat_2=19.7 +lat_0=19.33333333333333 +lon_0=80.56666666666666 +x_0=899160 +y_0=579120 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=ft +no_defs <>
	5925	# NAD27 / Michigan North
	5926	# Unable to translate coordinate system EPSG:6200 into PROJ.4 format.
	5927	#
	5928	# NAD27 / Michigan Central
	5929	# Unable to translate coordinate system EPSG:6201 into PROJ.4 format.
	5930	#
	5931	# NAD27 / Michigan South
	5932	# Unable to translate coordinate system EPSG:6202 into PROJ.4 format.
	5933	#
	5934	# Macedonian State Coordinate System
	5935	<6204> +proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=500000 +y_0=0 +ellps=bessel +towgs84=682,-203,480,0,0,0,0 +units=m +no_defs <>
	5936	# SIRGAS 2000 / UTM zone 23N
	5937	<6210> +proj=utm +zone=23 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5938	# SIRGAS 2000 / UTM zone 24N
	5939	<6211> +proj=utm +zone=24 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	5940	# MAGNA-SIRGAS / Arauca urban grid
	5941	# Unable to translate coordinate system EPSG:6244 into PROJ.4 format.
	5942	#
	5943	# MAGNA-SIRGAS / Armenia urban grid
	5944	# Unable to translate coordinate system EPSG:6245 into PROJ.4 format.
	5945	#
	5946	# MAGNA-SIRGAS / Barranquilla urban grid
	5947	# Unable to translate coordinate system EPSG:6246 into PROJ.4 format.
	5948	#
	5949	# MAGNA-SIRGAS / Bogota urban grid
	5950	# Unable to translate coordinate system EPSG:6247 into PROJ.4 format.
	5951	#
	5952	# MAGNA-SIRGAS / Bucaramanga urban grid
	5953	# Unable to translate coordinate system EPSG:6248 into PROJ.4 format.
	5954	#
	5955	# MAGNA-SIRGAS / Cali urban grid
	5956	# Unable to translate coordinate system EPSG:6249 into PROJ.4 format.
	5957	#
	5958	# MAGNA-SIRGAS / Cartagena urban grid
	5959	# Unable to translate coordinate system EPSG:6250 into PROJ.4 format.
	5960	#
	5961	# MAGNA-SIRGAS / Cucuta urban grid
	5962	# Unable to translate coordinate system EPSG:6251 into PROJ.4 format.
	5963	#
	5964	# MAGNA-SIRGAS / Florencia urban grid
	5965	# Unable to translate coordinate system EPSG:6252 into PROJ.4 format.
	5966	#
	5967	# MAGNA-SIRGAS / Ibague urban grid
	5968	# Unable to translate coordinate system EPSG:6253 into PROJ.4 format.
	5969	#
	5970	# MAGNA-SIRGAS / Inirida urban grid
	5971	# Unable to translate coordinate system EPSG:6254 into PROJ.4 format.
	5972	#
	5973	# MAGNA-SIRGAS / Leticia urban grid
	5974	# Unable to translate coordinate system EPSG:6255 into PROJ.4 format.
	5975	#
	5976	# MAGNA-SIRGAS / Manizales urban grid
	5977	# Unable to translate coordinate system EPSG:6256 into PROJ.4 format.
	5978	#
	5979	# MAGNA-SIRGAS / Medellin urban grid
	5980	# Unable to translate coordinate system EPSG:6257 into PROJ.4 format.
	5981	#
	5982	# MAGNA-SIRGAS / Mitu urban grid
	5983	# Unable to translate coordinate system EPSG:6258 into PROJ.4 format.
	5984	#
	5985	# MAGNA-SIRGAS / Mocoa urban grid
	5986	# Unable to translate coordinate system EPSG:6259 into PROJ.4 format.
	5987	#
	5988	# MAGNA-SIRGAS / Monteria urban grid
	5989	# Unable to translate coordinate system EPSG:6260 into PROJ.4 format.
	5990	#
	5991	# MAGNA-SIRGAS / Neiva urban grid
	5992	# Unable to translate coordinate system EPSG:6261 into PROJ.4 format.
	5993	#
	5994	# MAGNA-SIRGAS / Pasto urban grid
	5995	# Unable to translate coordinate system EPSG:6262 into PROJ.4 format.
	5996	#
	5997	# MAGNA-SIRGAS / Pereira urban grid
	5998	# Unable to translate coordinate system EPSG:6263 into PROJ.4 format.
	5999	#
	6000	# MAGNA-SIRGAS / Popayan urban grid
	6001	# Unable to translate coordinate system EPSG:6264 into PROJ.4 format.
	6002	#
	6003	# MAGNA-SIRGAS / Puerto Carreno urban grid
	6004	# Unable to translate coordinate system EPSG:6265 into PROJ.4 format.
	6005	#
	6006	# MAGNA-SIRGAS / Quibdo urban grid
	6007	# Unable to translate coordinate system EPSG:6266 into PROJ.4 format.
	6008	#
	6009	# MAGNA-SIRGAS / Riohacha urban grid
	6010	# Unable to translate coordinate system EPSG:6267 into PROJ.4 format.
	6011	#
	6012	# MAGNA-SIRGAS / San Andres urban grid
	6013	# Unable to translate coordinate system EPSG:6268 into PROJ.4 format.
	6014	#
	6015	# MAGNA-SIRGAS / San Jose del Guaviare urban grid
	6016	# Unable to translate coordinate system EPSG:6269 into PROJ.4 format.
	6017	#
	6018	# MAGNA-SIRGAS / Santa Marta urban grid
	6019	# Unable to translate coordinate system EPSG:6270 into PROJ.4 format.
	6020	#
	6021	# MAGNA-SIRGAS / Sucre urban grid
	6022	# Unable to translate coordinate system EPSG:6271 into PROJ.4 format.
	6023	#
	6024	# MAGNA-SIRGAS / Tunja urban grid
	6025	# Unable to translate coordinate system EPSG:6272 into PROJ.4 format.
	6026	#
	6027	# MAGNA-SIRGAS / Valledupar urban grid
	6028	# Unable to translate coordinate system EPSG:6273 into PROJ.4 format.
	6029	#
	6030	# MAGNA-SIRGAS / Villavicencio urban grid
	6031	# Unable to translate coordinate system EPSG:6274 into PROJ.4 format.
	6032	#
	6033	# MAGNA-SIRGAS / Yopal urban grid
	6034	# Unable to translate coordinate system EPSG:6275 into PROJ.4 format.
	6035	#
	6036	# Macedonia State Coordinate System zone 7
	6037	<6316> +proj=tmerc +lat_0=0 +lon_0=21 +k=0.9999 +x_0=7500000 +y_0=0 +ellps=bessel +towgs84=682,-203,480,0,0,0,0 +units=m +no_defs <>
	6038	# NAD83(2011) / UTM zone 59N
	6039	<6328> +proj=utm +zone=59 +ellps=GRS80 +units=m +no_defs <>
	6040	# NAD83(2011) / UTM zone 60N
	6041	<6329> +proj=utm +zone=60 +ellps=GRS80 +units=m +no_defs <>
	6042	# NAD83(2011) / UTM zone 1N
	6043	<6330> +proj=utm +zone=1 +ellps=GRS80 +units=m +no_defs <>
	6044	# NAD83(2011) / UTM zone 2N
	6045	<6331> +proj=utm +zone=2 +ellps=GRS80 +units=m +no_defs <>
	6046	# NAD83(2011) / UTM zone 3N
	6047	<6332> +proj=utm +zone=3 +ellps=GRS80 +units=m +no_defs <>
	6048	# NAD83(2011) / UTM zone 4N
	6049	<6333> +proj=utm +zone=4 +ellps=GRS80 +units=m +no_defs <>
	6050	# NAD83(2011) / UTM zone 5N
	6051	<6334> +proj=utm +zone=5 +ellps=GRS80 +units=m +no_defs <>
	6052	# NAD83(2011) / UTM zone 6N
	6053	<6335> +proj=utm +zone=6 +ellps=GRS80 +units=m +no_defs <>
	6054	# NAD83(2011) / UTM zone 7N
	6055	<6336> +proj=utm +zone=7 +ellps=GRS80 +units=m +no_defs <>
	6056	# NAD83(2011) / UTM zone 8N
	6057	<6337> +proj=utm +zone=8 +ellps=GRS80 +units=m +no_defs <>
	6058	# NAD83(2011) / UTM zone 9N
	6059	<6338> +proj=utm +zone=9 +ellps=GRS80 +units=m +no_defs <>
	6060	# NAD83(2011) / UTM zone 10N
	6061	<6339> +proj=utm +zone=10 +ellps=GRS80 +units=m +no_defs <>
	6062	# NAD83(2011) / UTM zone 11N
	6063	<6340> +proj=utm +zone=11 +ellps=GRS80 +units=m +no_defs <>
	6064	# NAD83(2011) / UTM zone 12N
	6065	<6341> +proj=utm +zone=12 +ellps=GRS80 +units=m +no_defs <>
	6066	# NAD83(2011) / UTM zone 13N
	6067	<6342> +proj=utm +zone=13 +ellps=GRS80 +units=m +no_defs <>
	6068	# NAD83(2011) / UTM zone 14N
	6069	<6343> +proj=utm +zone=14 +ellps=GRS80 +units=m +no_defs <>
	6070	# NAD83(2011) / UTM zone 15N
	6071	<6344> +proj=utm +zone=15 +ellps=GRS80 +units=m +no_defs <>
	6072	# NAD83(2011) / UTM zone 16N
	6073	<6345> +proj=utm +zone=16 +ellps=GRS80 +units=m +no_defs <>
	6074	# NAD83(2011) / UTM zone 17N
	6075	<6346> +proj=utm +zone=17 +ellps=GRS80 +units=m +no_defs <>
	6076	# NAD83(2011) / UTM zone 18N
	6077	<6347> +proj=utm +zone=18 +ellps=GRS80 +units=m +no_defs <>
	6078	# NAD83(2011) / UTM zone 19N
	6079	<6348> +proj=utm +zone=19 +ellps=GRS80 +units=m +no_defs <>
	6080	# NAD83(2011) / Conus Albers
	6081	<6350> +proj=aea +lat_1=29.5 +lat_2=45.5 +lat_0=23 +lon_0=-96 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6082	# NAD83(2011) / EPSG Arctic zone 5-29
	6083	<6351> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=-163 +x_0=29500000 +y_0=5500000 +ellps=GRS80 +units=m +no_defs <>
	6084	# NAD83(2011) / EPSG Arctic zone 5-31
	6085	<6352> +proj=lcc +lat_1=73.66666666666667 +lat_2=70.33333333333333 +lat_0=72.02500919444445 +lon_0=-147 +x_0=31500000 +y_0=5500000 +ellps=GRS80 +units=m +no_defs <>
	6086	# NAD83(2011) / EPSG Arctic zone 6-14
	6087	<6353> +proj=lcc +lat_1=70.33333333333333 +lat_2=67 +lat_0=68.68747555555557 +lon_0=-165 +x_0=14500000 +y_0=6500000 +ellps=GRS80 +units=m +no_defs <>
	6088	# NAD83(2011) / EPSG Arctic zone 6-16
	6089	<6354> +proj=lcc +lat_1=70.33333333333333 +lat_2=67 +lat_0=68.68747555555557 +lon_0=-147 +x_0=16500000 +y_0=6500000 +ellps=GRS80 +units=m +no_defs <>
	6090	# NAD83(2011) / Alabama East
	6091	<6355> +proj=tmerc +lat_0=30.5 +lon_0=-85.83333333333333 +k=0.99996 +x_0=200000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6092	# NAD83(2011) / Alabama West
	6093	<6356> +proj=tmerc +lat_0=30 +lon_0=-87.5 +k=0.999933333 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6094	# Mexico ITRF92 / LCC
	6095	<6362> +proj=lcc +lat_1=17.5 +lat_2=29.5 +lat_0=12 +lon_0=-102 +x_0=2500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6096	# Mexico ITRF2008 / UTM zone 11N
	6097	<6366> +proj=utm +zone=11 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6098	# Mexico ITRF2008 / UTM zone 12N
	6099	<6367> +proj=utm +zone=12 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6100	# Mexico ITRF2008 / UTM zone 13N
	6101	<6368> +proj=utm +zone=13 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6102	# Mexico ITRF2008 / UTM zone 14N
	6103	<6369> +proj=utm +zone=14 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6104	# Mexico ITRF2008 / UTM zone 15N
	6105	<6370> +proj=utm +zone=15 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6106	# Mexico ITRF2008 / UTM zone 16N
	6107	<6371> +proj=utm +zone=16 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6108	# Mexico ITRF2008 / LCC
	6109	<6372> +proj=lcc +lat_1=17.5 +lat_2=29.5 +lat_0=12 +lon_0=-102 +x_0=2500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6110	# UCS-2000 / Ukraine TM zone 7
	6111	<6381> +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
	6112	# UCS-2000 / Ukraine TM zone 8
	6113	<6382> +proj=tmerc +lat_0=0 +lon_0=24 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
	6114	# UCS-2000 / Ukraine TM zone 9
	6115	<6383> +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
	6116	# UCS-2000 / Ukraine TM zone 10
	6117	<6384> +proj=tmerc +lat_0=0 +lon_0=30 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
	6118	# UCS-2000 / Ukraine TM zone 11
	6119	<6385> +proj=tmerc +lat_0=0 +lon_0=33 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
	6120	# UCS-2000 / Ukraine TM zone 12
	6121	<6386> +proj=tmerc +lat_0=0 +lon_0=36 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
	6122	# UCS-2000 / Ukraine TM zone 13
	6123	<6387> +proj=tmerc +lat_0=0 +lon_0=39 +k=1 +x_0=300000 +y_0=0 +ellps=krass +towgs84=25,-141,-78.5,-0,0.35,0.736,0 +units=m +no_defs <>
	6124	# Cayman Islands National Grid 2011
	6125	<6391> +proj=lcc +lat_1=19.33333333333333 +lat_2=19.7 +lat_0=19.33333333333333 +lon_0=-80.56666666666666 +x_0=899160 +y_0=579120 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=ft +no_defs <>
	6126	# NAD83(2011) / Alaska Albers
	6127	<6393> +proj=aea +lat_1=55 +lat_2=65 +lat_0=50 +lon_0=-154 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6128	# NAD83(2011) / Alaska zone 1
	6129	<6394> +proj=omerc +lat_0=57 +lonc=-133.6666666666667 +alpha=323.1301023611111 +k=0.9999 +x_0=5000000 +y_0=-5000000 +no_uoff +gamma=323.1301023611111 +ellps=GRS80 +units=m +no_defs <>
	6130	# NAD83(2011) / Alaska zone 2
	6131	<6395> +proj=tmerc +lat_0=54 +lon_0=-142 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6132	# NAD83(2011) / Alaska zone 3
	6133	<6396> +proj=tmerc +lat_0=54 +lon_0=-146 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6134	# NAD83(2011) / Alaska zone 4
	6135	<6397> +proj=tmerc +lat_0=54 +lon_0=-150 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6136	# NAD83(2011) / Alaska zone 5
	6137	<6398> +proj=tmerc +lat_0=54 +lon_0=-154 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6138	# NAD83(2011) / Alaska zone 6
	6139	<6399> +proj=tmerc +lat_0=54 +lon_0=-158 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6140	# NAD83(2011) / Alaska zone 7
	6141	<6400> +proj=tmerc +lat_0=54 +lon_0=-162 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6142	# NAD83(2011) / Alaska zone 8
	6143	<6401> +proj=tmerc +lat_0=54 +lon_0=-166 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6144	# NAD83(2011) / Alaska zone 9
	6145	<6402> +proj=tmerc +lat_0=54 +lon_0=-170 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6146	# NAD83(2011) / Alaska zone 10
	6147	<6403> +proj=lcc +lat_1=53.83333333333334 +lat_2=51.83333333333334 +lat_0=51 +lon_0=-176 +x_0=1000000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6148	# NAD83(2011) / Arizona Central
	6149	<6404> +proj=tmerc +lat_0=31 +lon_0=-111.9166666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6150	# NAD83(2011) / Arizona Central (ft)
	6151	<6405> +proj=tmerc +lat_0=31 +lon_0=-111.9166666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6152	# NAD83(2011) / Arizona East
	6153	<6406> +proj=tmerc +lat_0=31 +lon_0=-110.1666666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6154	# NAD83(2011) / Arizona East (ft)
	6155	<6407> +proj=tmerc +lat_0=31 +lon_0=-110.1666666666667 +k=0.9999 +x_0=213360 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6156	# NAD83(2011) / Arizona West
	6157	<6408> +proj=tmerc +lat_0=31 +lon_0=-113.75 +k=0.999933333 +x_0=213360 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6158	# NAD83(2011) / Arizona West (ft)
	6159	<6409> +proj=tmerc +lat_0=31 +lon_0=-113.75 +k=0.999933333 +x_0=213360 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6160	# NAD83(2011) / Arkansas North
	6161	<6410> +proj=lcc +lat_1=36.23333333333333 +lat_2=34.93333333333333 +lat_0=34.33333333333334 +lon_0=-92 +x_0=400000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6162	# NAD83(2011) / Arkansas North (ftUS)
	6163	<6411> +proj=lcc +lat_1=36.23333333333333 +lat_2=34.93333333333333 +lat_0=34.33333333333334 +lon_0=-92 +x_0=399999.99998984 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6164	# NAD83(2011) / Arkansas South
	6165	<6412> +proj=lcc +lat_1=34.76666666666667 +lat_2=33.3 +lat_0=32.66666666666666 +lon_0=-92 +x_0=400000 +y_0=400000 +ellps=GRS80 +units=m +no_defs <>
	6166	# NAD83(2011) / Arkansas South (ftUS)
	6167	<6413> +proj=lcc +lat_1=34.76666666666667 +lat_2=33.3 +lat_0=32.66666666666666 +lon_0=-92 +x_0=399999.99998984 +y_0=399999.99998984 +ellps=GRS80 +units=us-ft +no_defs <>
	6168	# NAD83(2011) / California Albers
	6169	<6414> +proj=aea +lat_1=34 +lat_2=40.5 +lat_0=0 +lon_0=-120 +x_0=0 +y_0=-4000000 +ellps=GRS80 +units=m +no_defs <>
	6170	# NAD83(2011) / California zone 1
	6171	<6415> +proj=lcc +lat_1=41.66666666666666 +lat_2=40 +lat_0=39.33333333333334 +lon_0=-122 +x_0=2000000 +y_0=500000 +ellps=GRS80 +units=m +no_defs <>
	6172	# NAD83(2011) / California zone 1 (ftUS)
	6173	<6416> +proj=lcc +lat_1=41.66666666666666 +lat_2=40 +lat_0=39.33333333333334 +lon_0=-122 +x_0=2000000.0001016 +y_0=500000.0001016001 +ellps=GRS80 +units=us-ft +no_defs <>
	6174	# NAD83(2011) / California zone 2
	6175	<6417> +proj=lcc +lat_1=39.83333333333334 +lat_2=38.33333333333334 +lat_0=37.66666666666666 +lon_0=-122 +x_0=2000000 +y_0=500000 +ellps=GRS80 +units=m +no_defs <>
	6176	# NAD83(2011) / California zone 2 (ftUS)
	6177	<6418> +proj=lcc +lat_1=39.83333333333334 +lat_2=38.33333333333334 +lat_0=37.66666666666666 +lon_0=-122 +x_0=2000000.0001016 +y_0=500000.0001016001 +ellps=GRS80 +units=us-ft +no_defs <>
	6178	# NAD83(2011) / California zone 3
	6179	<6419> +proj=lcc +lat_1=38.43333333333333 +lat_2=37.06666666666667 +lat_0=36.5 +lon_0=-120.5 +x_0=2000000 +y_0=500000 +ellps=GRS80 +units=m +no_defs <>
	6180	# NAD83(2011) / California zone 3 (ftUS)
	6181	<6420> +proj=lcc +lat_1=38.43333333333333 +lat_2=37.06666666666667 +lat_0=36.5 +lon_0=-120.5 +x_0=2000000.0001016 +y_0=500000.0001016001 +ellps=GRS80 +units=us-ft +no_defs <>
	6182	# NAD83(2011) / California zone 4
	6183	<6421> +proj=lcc +lat_1=37.25 +lat_2=36 +lat_0=35.33333333333334 +lon_0=-119 +x_0=2000000 +y_0=500000 +ellps=GRS80 +units=m +no_defs <>
	6184	# NAD83(2011) / California zone 4 (ftUS)
	6185	<6422> +proj=lcc +lat_1=37.25 +lat_2=36 +lat_0=35.33333333333334 +lon_0=-119 +x_0=2000000.0001016 +y_0=500000.0001016001 +ellps=GRS80 +units=us-ft +no_defs <>
	6186	# NAD83(2011) / California zone 5
	6187	<6423> +proj=lcc +lat_1=35.46666666666667 +lat_2=34.03333333333333 +lat_0=33.5 +lon_0=-118 +x_0=2000000 +y_0=500000 +ellps=GRS80 +units=m +no_defs <>
	6188	# NAD83(2011) / California zone 5 (ftUS)
	6189	<6424> +proj=lcc +lat_1=35.46666666666667 +lat_2=34.03333333333333 +lat_0=33.5 +lon_0=-118 +x_0=2000000.0001016 +y_0=500000.0001016001 +ellps=GRS80 +units=us-ft +no_defs <>
	6190	# NAD83(2011) / California zone 6
	6191	<6425> +proj=lcc +lat_1=33.88333333333333 +lat_2=32.78333333333333 +lat_0=32.16666666666666 +lon_0=-116.25 +x_0=2000000 +y_0=500000 +ellps=GRS80 +units=m +no_defs <>
	6192	# NAD83(2011) / California zone 6 (ftUS)
	6193	<6426> +proj=lcc +lat_1=33.88333333333333 +lat_2=32.78333333333333 +lat_0=32.16666666666666 +lon_0=-116.25 +x_0=2000000.0001016 +y_0=500000.0001016001 +ellps=GRS80 +units=us-ft +no_defs <>
	6194	# NAD83(2011) / Colorado Central
	6195	<6427> +proj=lcc +lat_1=39.75 +lat_2=38.45 +lat_0=37.83333333333334 +lon_0=-105.5 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +units=m +no_defs <>
	6196	# NAD83(2011) / Colorado Central (ftUS)
	6197	<6428> +proj=lcc +lat_1=39.75 +lat_2=38.45 +lat_0=37.83333333333334 +lon_0=-105.5 +x_0=914401.8288036576 +y_0=304800.6096012192 +ellps=GRS80 +units=us-ft +no_defs <>
	6198	# NAD83(2011) / Colorado North
	6199	<6429> +proj=lcc +lat_1=40.78333333333333 +lat_2=39.71666666666667 +lat_0=39.33333333333334 +lon_0=-105.5 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +units=m +no_defs <>
	6200	# NAD83(2011) / Colorado North (ftUS)
	6201	<6430> +proj=lcc +lat_1=40.78333333333333 +lat_2=39.71666666666667 +lat_0=39.33333333333334 +lon_0=-105.5 +x_0=914401.8288036576 +y_0=304800.6096012192 +ellps=GRS80 +units=us-ft +no_defs <>
	6202	# NAD83(2011) / Colorado South
	6203	<6431> +proj=lcc +lat_1=38.43333333333333 +lat_2=37.23333333333333 +lat_0=36.66666666666666 +lon_0=-105.5 +x_0=914401.8289 +y_0=304800.6096 +ellps=GRS80 +units=m +no_defs <>
	6204	# NAD83(2011) / Colorado South (ftUS)
	6205	<6432> +proj=lcc +lat_1=38.43333333333333 +lat_2=37.23333333333333 +lat_0=36.66666666666666 +lon_0=-105.5 +x_0=914401.8288036576 +y_0=304800.6096012192 +ellps=GRS80 +units=us-ft +no_defs <>
	6206	# NAD83(2011) / Connecticut
	6207	<6433> +proj=lcc +lat_1=41.86666666666667 +lat_2=41.2 +lat_0=40.83333333333334 +lon_0=-72.75 +x_0=304800.6096 +y_0=152400.3048 +ellps=GRS80 +units=m +no_defs <>
	6208	# NAD83(2011) / Connecticut (ftUS)
	6209	<6434> +proj=lcc +lat_1=41.86666666666667 +lat_2=41.2 +lat_0=40.83333333333334 +lon_0=-72.75 +x_0=304800.6096012192 +y_0=152400.3048006096 +ellps=GRS80 +units=us-ft +no_defs <>
	6210	# NAD83(2011) / Delaware
	6211	<6435> +proj=tmerc +lat_0=38 +lon_0=-75.41666666666667 +k=0.999995 +x_0=200000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6212	# NAD83(2011) / Delaware (ftUS)
	6213	<6436> +proj=tmerc +lat_0=38 +lon_0=-75.41666666666667 +k=0.999995 +x_0=200000.0001016002 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6214	# NAD83(2011) / Florida East
	6215	<6437> +proj=tmerc +lat_0=24.33333333333333 +lon_0=-81 +k=0.999941177 +x_0=200000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6216	# NAD83(2011) / Florida East (ftUS)
	6217	<6438> +proj=tmerc +lat_0=24.33333333333333 +lon_0=-81 +k=0.999941177 +x_0=200000.0001016002 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6218	# NAD83(2011) / Florida GDL Albers
	6219	<6439> +proj=aea +lat_1=24 +lat_2=31.5 +lat_0=24 +lon_0=-84 +x_0=400000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6220	# NAD83(2011) / Florida North
	6221	<6440> +proj=lcc +lat_1=30.75 +lat_2=29.58333333333333 +lat_0=29 +lon_0=-84.5 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6222	# NAD83(2011) / Florida North (ftUS)
	6223	<6441> +proj=lcc +lat_1=30.75 +lat_2=29.58333333333333 +lat_0=29 +lon_0=-84.5 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6224	# NAD83(2011) / Florida West
	6225	<6442> +proj=tmerc +lat_0=24.33333333333333 +lon_0=-82 +k=0.999941177 +x_0=200000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6226	# NAD83(2011) / Florida West (ftUS)
	6227	<6443> +proj=tmerc +lat_0=24.33333333333333 +lon_0=-82 +k=0.999941177 +x_0=200000.0001016002 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6228	# NAD83(2011) / Georgia East
	6229	<6444> +proj=tmerc +lat_0=30 +lon_0=-82.16666666666667 +k=0.9999 +x_0=200000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6230	# NAD83(2011) / Georgia East (ftUS)
	6231	<6445> +proj=tmerc +lat_0=30 +lon_0=-82.16666666666667 +k=0.9999 +x_0=200000.0001016002 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6232	# NAD83(2011) / Georgia West
	6233	<6446> +proj=tmerc +lat_0=30 +lon_0=-84.16666666666667 +k=0.9999 +x_0=700000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6234	# NAD83(2011) / Georgia West (ftUS)
	6235	<6447> +proj=tmerc +lat_0=30 +lon_0=-84.16666666666667 +k=0.9999 +x_0=699999.9998983998 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6236	# NAD83(2011) / Idaho Central
	6237	<6448> +proj=tmerc +lat_0=41.66666666666666 +lon_0=-114 +k=0.9999473679999999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6238	# NAD83(2011) / Idaho Central (ftUS)
	6239	<6449> +proj=tmerc +lat_0=41.66666666666666 +lon_0=-114 +k=0.9999473679999999 +x_0=500000.0001016001 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6240	# NAD83(2011) / Idaho East
	6241	<6450> +proj=tmerc +lat_0=41.66666666666666 +lon_0=-112.1666666666667 +k=0.9999473679999999 +x_0=200000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6242	# NAD83(2011) / Idaho East (ftUS)
	6243	<6451> +proj=tmerc +lat_0=41.66666666666666 +lon_0=-112.1666666666667 +k=0.9999473679999999 +x_0=200000.0001016002 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6244	# NAD83(2011) / Idaho West
	6245	<6452> +proj=tmerc +lat_0=41.66666666666666 +lon_0=-115.75 +k=0.999933333 +x_0=800000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6246	# NAD83(2011) / Idaho West (ftUS)
	6247	<6453> +proj=tmerc +lat_0=41.66666666666666 +lon_0=-115.75 +k=0.999933333 +x_0=800000.0001016001 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6248	# NAD83(2011) / Illinois East
	6249	<6454> +proj=tmerc +lat_0=36.66666666666666 +lon_0=-88.33333333333333 +k=0.9999749999999999 +x_0=300000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6250	# NAD83(2011) / Illinois East (ftUS)
	6251	<6455> +proj=tmerc +lat_0=36.66666666666666 +lon_0=-88.33333333333333 +k=0.9999749999999999 +x_0=300000.0000000001 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6252	# NAD83(2011) / Illinois West
	6253	<6456> +proj=tmerc +lat_0=36.66666666666666 +lon_0=-90.16666666666667 +k=0.999941177 +x_0=700000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6254	# NAD83(2011) / Illinois West (ftUS)
	6255	<6457> +proj=tmerc +lat_0=36.66666666666666 +lon_0=-90.16666666666667 +k=0.999941177 +x_0=699999.9999898402 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6256	# NAD83(2011) / Indiana East
	6257	<6458> +proj=tmerc +lat_0=37.5 +lon_0=-85.66666666666667 +k=0.999966667 +x_0=100000 +y_0=250000 +ellps=GRS80 +units=m +no_defs <>
	6258	# NAD83(2011) / Indiana East (ftUS)
	6259	<6459> +proj=tmerc +lat_0=37.5 +lon_0=-85.66666666666667 +k=0.999966667 +x_0=99999.99989839978 +y_0=249999.9998983998 +ellps=GRS80 +units=us-ft +no_defs <>
	6260	# NAD83(2011) / Indiana West
	6261	<6460> +proj=tmerc +lat_0=37.5 +lon_0=-87.08333333333333 +k=0.999966667 +x_0=900000 +y_0=250000 +ellps=GRS80 +units=m +no_defs <>
	6262	# NAD83(2011) / Indiana West (ftUS)
	6263	<6461> +proj=tmerc +lat_0=37.5 +lon_0=-87.08333333333333 +k=0.999966667 +x_0=900000 +y_0=249999.9998983998 +ellps=GRS80 +units=us-ft +no_defs <>
	6264	# NAD83(2011) / Iowa North
	6265	<6462> +proj=lcc +lat_1=43.26666666666667 +lat_2=42.06666666666667 +lat_0=41.5 +lon_0=-93.5 +x_0=1500000 +y_0=1000000 +ellps=GRS80 +units=m +no_defs <>
	6266	# NAD83(2011) / Iowa North (ftUS)
	6267	<6463> +proj=lcc +lat_1=43.26666666666667 +lat_2=42.06666666666667 +lat_0=41.5 +lon_0=-93.5 +x_0=1500000 +y_0=999999.9999898402 +ellps=GRS80 +units=us-ft +no_defs <>
	6268	# NAD83(2011) / Iowa South
	6269	<6464> +proj=lcc +lat_1=41.78333333333333 +lat_2=40.61666666666667 +lat_0=40 +lon_0=-93.5 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6270	# NAD83(2011) / Iowa South (ftUS)
	6271	<6465> +proj=lcc +lat_1=41.78333333333333 +lat_2=40.61666666666667 +lat_0=40 +lon_0=-93.5 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6272	# NAD83(2011) / Kansas North
	6273	<6466> +proj=lcc +lat_1=39.78333333333333 +lat_2=38.71666666666667 +lat_0=38.33333333333334 +lon_0=-98 +x_0=400000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6274	# NAD83(2011) / Kansas North (ftUS)
	6275	<6467> +proj=lcc +lat_1=39.78333333333333 +lat_2=38.71666666666667 +lat_0=38.33333333333334 +lon_0=-98 +x_0=399999.99998984 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6276	# NAD83(2011) / Kansas South
	6277	<6468> +proj=lcc +lat_1=38.56666666666667 +lat_2=37.26666666666667 +lat_0=36.66666666666666 +lon_0=-98.5 +x_0=400000 +y_0=400000 +ellps=GRS80 +units=m +no_defs <>
	6278	# NAD83(2011) / Kansas South (ftUS)
	6279	<6469> +proj=lcc +lat_1=38.56666666666667 +lat_2=37.26666666666667 +lat_0=36.66666666666666 +lon_0=-98.5 +x_0=399999.99998984 +y_0=399999.99998984 +ellps=GRS80 +units=us-ft +no_defs <>
	6280	# NAD83(2011) / Kentucky North
	6281	<6470> +proj=lcc +lat_1=37.96666666666667 +lat_2=38.96666666666667 +lat_0=37.5 +lon_0=-84.25 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6282	# NAD83(2011) / Kentucky North (ftUS)
	6283	<6471> +proj=lcc +lat_1=37.96666666666667 +lat_2=38.96666666666667 +lat_0=37.5 +lon_0=-84.25 +x_0=500000.0001016001 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6284	# NAD83(2011) / Kentucky Single Zone
	6285	<6472> +proj=lcc +lat_1=37.08333333333334 +lat_2=38.66666666666666 +lat_0=36.33333333333334 +lon_0=-85.75 +x_0=1500000 +y_0=1000000 +ellps=GRS80 +units=m +no_defs <>
	6286	# NAD83(2011) / Kentucky Single Zone (ftUS)
	6287	<6473> +proj=lcc +lat_1=37.08333333333334 +lat_2=38.66666666666666 +lat_0=36.33333333333334 +lon_0=-85.75 +x_0=1500000 +y_0=999999.9998983998 +ellps=GRS80 +units=us-ft +no_defs <>
	6288	# NAD83(2011) / Kentucky South
	6289	<6474> +proj=lcc +lat_1=37.93333333333333 +lat_2=36.73333333333333 +lat_0=36.33333333333334 +lon_0=-85.75 +x_0=500000 +y_0=500000 +ellps=GRS80 +units=m +no_defs <>
	6290	# NAD83(2011) / Kentucky South (ftUS)
	6291	<6475> +proj=lcc +lat_1=37.93333333333333 +lat_2=36.73333333333333 +lat_0=36.33333333333334 +lon_0=-85.75 +x_0=500000.0001016001 +y_0=500000.0001016001 +ellps=GRS80 +units=us-ft +no_defs <>
	6292	# NAD83(2011) / Louisiana North
	6293	<6476> +proj=lcc +lat_1=32.66666666666666 +lat_2=31.16666666666667 +lat_0=30.5 +lon_0=-92.5 +x_0=1000000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6294	# NAD83(2011) / Louisiana North (ftUS)
	6295	<6477> +proj=lcc +lat_1=32.66666666666666 +lat_2=31.16666666666667 +lat_0=30.5 +lon_0=-92.5 +x_0=999999.9999898402 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6296	# NAD83(2011) / Louisiana South
	6297	<6478> +proj=lcc +lat_1=30.7 +lat_2=29.3 +lat_0=28.5 +lon_0=-91.33333333333333 +x_0=1000000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6298	# NAD83(2011) / Louisiana South (ftUS)
	6299	<6479> +proj=lcc +lat_1=30.7 +lat_2=29.3 +lat_0=28.5 +lon_0=-91.33333333333333 +x_0=999999.9999898402 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6300	# NAD83(2011) / Maine CS2000 Central
	6301	<6480> +proj=tmerc +lat_0=43.5 +lon_0=-69.125 +k=0.99998 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6302	# NAD83(2011) / Maine CS2000 East
	6303	<6481> +proj=tmerc +lat_0=43.83333333333334 +lon_0=-67.875 +k=0.99998 +x_0=700000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6304	# NAD83(2011) / Maine CS2000 West
	6305	<6482> +proj=tmerc +lat_0=42.83333333333334 +lon_0=-70.375 +k=0.99998 +x_0=300000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6306	# NAD83(2011) / Maine East
	6307	<6483> +proj=tmerc +lat_0=43.66666666666666 +lon_0=-68.5 +k=0.9999 +x_0=300000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6308	# NAD83(2011) / Maine East (ftUS)
	6309	<6484> +proj=tmerc +lat_0=43.66666666666666 +lon_0=-68.5 +k=0.9999 +x_0=300000.0000000001 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6310	# NAD83(2011) / Maine West
	6311	<6485> +proj=tmerc +lat_0=42.83333333333334 +lon_0=-70.16666666666667 +k=0.999966667 +x_0=900000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6312	# NAD83(2011) / Maine West (ftUS)
	6313	<6486> +proj=tmerc +lat_0=42.83333333333334 +lon_0=-70.16666666666667 +k=0.999966667 +x_0=900000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6314	# NAD83(2011) / Maryland
	6315	<6487> +proj=lcc +lat_1=39.45 +lat_2=38.3 +lat_0=37.66666666666666 +lon_0=-77 +x_0=400000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6316	# NAD83(2011) / Maryland (ftUS)
	6317	<6488> +proj=lcc +lat_1=39.45 +lat_2=38.3 +lat_0=37.66666666666666 +lon_0=-77 +x_0=399999.9998983998 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6318	# NAD83(2011) / Massachusetts Island
	6319	<6489> +proj=lcc +lat_1=41.48333333333333 +lat_2=41.28333333333333 +lat_0=41 +lon_0=-70.5 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6320	# NAD83(2011) / Massachusetts Island (ftUS)
	6321	<6490> +proj=lcc +lat_1=41.48333333333333 +lat_2=41.28333333333333 +lat_0=41 +lon_0=-70.5 +x_0=500000.0001016001 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6322	# NAD83(2011) / Massachusetts Mainland
	6323	<6491> +proj=lcc +lat_1=42.68333333333333 +lat_2=41.71666666666667 +lat_0=41 +lon_0=-71.5 +x_0=200000 +y_0=750000 +ellps=GRS80 +units=m +no_defs <>
	6324	# NAD83(2011) / Massachusetts Mainland (ftUS)
	6325	<6492> +proj=lcc +lat_1=42.68333333333333 +lat_2=41.71666666666667 +lat_0=41 +lon_0=-71.5 +x_0=200000.0001016002 +y_0=750000 +ellps=GRS80 +units=us-ft +no_defs <>
	6326	# NAD83(2011) / Michigan Central
	6327	<6493> +proj=lcc +lat_1=45.7 +lat_2=44.18333333333333 +lat_0=43.31666666666667 +lon_0=-84.36666666666666 +x_0=6000000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6328	# NAD83(2011) / Michigan Central (ft)
	6329	<6494> +proj=lcc +lat_1=45.7 +lat_2=44.18333333333333 +lat_0=43.31666666666667 +lon_0=-84.36666666666666 +x_0=5999999.999976001 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6330	# NAD83(2011) / Michigan North
	6331	<6495> +proj=lcc +lat_1=47.08333333333334 +lat_2=45.48333333333333 +lat_0=44.78333333333333 +lon_0=-87 +x_0=8000000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6332	# NAD83(2011) / Michigan North (ft)
	6333	<6496> +proj=lcc +lat_1=47.08333333333334 +lat_2=45.48333333333333 +lat_0=44.78333333333333 +lon_0=-87 +x_0=7999999.999968001 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6334	# NAD83(2011) / Michigan Oblique Mercator
	6335	<6497> +proj=omerc +lat_0=45.30916666666666 +lonc=-86 +alpha=337.25556 +k=0.9996 +x_0=2546731.496 +y_0=-4354009.816 +no_uoff +gamma=337.25556 +ellps=GRS80 +units=m +no_defs <>
	6336	# NAD83(2011) / Michigan South
	6337	<6498> +proj=lcc +lat_1=43.66666666666666 +lat_2=42.1 +lat_0=41.5 +lon_0=-84.36666666666666 +x_0=4000000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6338	# NAD83(2011) / Michigan South (ft)
	6339	<6499> +proj=lcc +lat_1=43.66666666666666 +lat_2=42.1 +lat_0=41.5 +lon_0=-84.36666666666666 +x_0=3999999.999984 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6340	# NAD83(2011) / Minnesota Central
	6341	<6500> +proj=lcc +lat_1=47.05 +lat_2=45.61666666666667 +lat_0=45 +lon_0=-94.25 +x_0=800000 +y_0=100000 +ellps=GRS80 +units=m +no_defs <>
	6342	# NAD83(2011) / Minnesota Central (ftUS)
	6343	<6501> +proj=lcc +lat_1=47.05 +lat_2=45.61666666666667 +lat_0=45 +lon_0=-94.25 +x_0=800000.0000101599 +y_0=99999.99998983997 +ellps=GRS80 +units=us-ft +no_defs <>
	6344	# NAD83(2011) / Minnesota North
	6345	<6502> +proj=lcc +lat_1=48.63333333333333 +lat_2=47.03333333333333 +lat_0=46.5 +lon_0=-93.09999999999999 +x_0=800000 +y_0=100000 +ellps=GRS80 +units=m +no_defs <>
	6346	# NAD83(2011) / Minnesota North (ftUS)
	6347	<6503> +proj=lcc +lat_1=48.63333333333333 +lat_2=47.03333333333333 +lat_0=46.5 +lon_0=-93.09999999999999 +x_0=800000.0000101599 +y_0=99999.99998983997 +ellps=GRS80 +units=us-ft +no_defs <>
	6348	# NAD83(2011) / Minnesota South
	6349	<6504> +proj=lcc +lat_1=45.21666666666667 +lat_2=43.78333333333333 +lat_0=43 +lon_0=-94 +x_0=800000 +y_0=100000 +ellps=GRS80 +units=m +no_defs <>
	6350	# NAD83(2011) / Minnesota South (ftUS)
	6351	<6505> +proj=lcc +lat_1=45.21666666666667 +lat_2=43.78333333333333 +lat_0=43 +lon_0=-94 +x_0=800000.0000101599 +y_0=99999.99998983997 +ellps=GRS80 +units=us-ft +no_defs <>
	6352	# NAD83(2011) / Mississippi East
	6353	<6506> +proj=tmerc +lat_0=29.5 +lon_0=-88.83333333333333 +k=0.99995 +x_0=300000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6354	# NAD83(2011) / Mississippi East (ftUS)
	6355	<6507> +proj=tmerc +lat_0=29.5 +lon_0=-88.83333333333333 +k=0.99995 +x_0=300000.0000000001 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6356	# NAD83(2011) / Mississippi TM
	6357	<6508> +proj=tmerc +lat_0=32.5 +lon_0=-89.75 +k=0.9998335 +x_0=500000 +y_0=1300000 +ellps=GRS80 +units=m +no_defs <>
	6358	# NAD83(2011) / Mississippi West
	6359	<6509> +proj=tmerc +lat_0=29.5 +lon_0=-90.33333333333333 +k=0.99995 +x_0=700000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6360	# NAD83(2011) / Mississippi West (ftUS)
	6361	<6510> +proj=tmerc +lat_0=29.5 +lon_0=-90.33333333333333 +k=0.99995 +x_0=699999.9998983998 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6362	# NAD83(2011) / Missouri Central
	6363	<6511> +proj=tmerc +lat_0=35.83333333333334 +lon_0=-92.5 +k=0.999933333 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6364	# NAD83(2011) / Missouri East
	6365	<6512> +proj=tmerc +lat_0=35.83333333333334 +lon_0=-90.5 +k=0.999933333 +x_0=250000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6366	# NAD83(2011) / Missouri West
	6367	<6513> +proj=tmerc +lat_0=36.16666666666666 +lon_0=-94.5 +k=0.999941177 +x_0=850000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6368	# NAD83(2011) / Montana
	6369	<6514> +proj=lcc +lat_1=49 +lat_2=45 +lat_0=44.25 +lon_0=-109.5 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6370	# NAD83(2011) / Montana (ft)
	6371	<6515> +proj=lcc +lat_1=49 +lat_2=45 +lat_0=44.25 +lon_0=-109.5 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6372	# NAD83(2011) / Nebraska
	6373	<6516> +proj=lcc +lat_1=43 +lat_2=40 +lat_0=39.83333333333334 +lon_0=-100 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6374	# NAD83(2011) / Nebraska (ftUS) (deprecated)
	6375	<6517> +proj=lcc +lat_1=43 +lat_2=40 +lat_0=39.83333333333334 +lon_0=-100 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=us-ft +no_defs <>
	6376	# NAD83(2011) / Nevada Central
	6377	<6518> +proj=tmerc +lat_0=34.75 +lon_0=-116.6666666666667 +k=0.9999 +x_0=500000 +y_0=6000000 +ellps=GRS80 +units=m +no_defs <>
	6378	# NAD83(2011) / Nevada Central (ftUS)
	6379	<6519> +proj=tmerc +lat_0=34.75 +lon_0=-116.6666666666667 +k=0.9999 +x_0=500000.00001016 +y_0=6000000 +ellps=GRS80 +units=us-ft +no_defs <>
	6380	# NAD83(2011) / Nevada East
	6381	<6520> +proj=tmerc +lat_0=34.75 +lon_0=-115.5833333333333 +k=0.9999 +x_0=200000 +y_0=8000000 +ellps=GRS80 +units=m +no_defs <>
	6382	# NAD83(2011) / Nevada East (ftUS)
	6383	<6521> +proj=tmerc +lat_0=34.75 +lon_0=-115.5833333333333 +k=0.9999 +x_0=200000.00001016 +y_0=8000000.000010163 +ellps=GRS80 +units=us-ft +no_defs <>
	6384	# NAD83(2011) / Nevada West
	6385	<6522> +proj=tmerc +lat_0=34.75 +lon_0=-118.5833333333333 +k=0.9999 +x_0=800000 +y_0=4000000 +ellps=GRS80 +units=m +no_defs <>
	6386	# NAD83(2011) / Nevada West (ftUS)
	6387	<6523> +proj=tmerc +lat_0=34.75 +lon_0=-118.5833333333333 +k=0.9999 +x_0=800000.0000101599 +y_0=3999999.99998984 +ellps=GRS80 +units=us-ft +no_defs <>
	6388	# NAD83(2011) / New Hampshire
	6389	<6524> +proj=tmerc +lat_0=42.5 +lon_0=-71.66666666666667 +k=0.999966667 +x_0=300000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6390	# NAD83(2011) / New Hampshire (ftUS)
	6391	<6525> +proj=tmerc +lat_0=42.5 +lon_0=-71.66666666666667 +k=0.999966667 +x_0=300000.0000000001 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6392	# NAD83(2011) / New Jersey
	6393	<6526> +proj=tmerc +lat_0=38.83333333333334 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6394	# NAD83(2011) / New Jersey (ftUS)
	6395	<6527> +proj=tmerc +lat_0=38.83333333333334 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6396	# NAD83(2011) / New Mexico Central
	6397	<6528> +proj=tmerc +lat_0=31 +lon_0=-106.25 +k=0.9999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6398	# NAD83(2011) / New Mexico Central (ftUS)
	6399	<6529> +proj=tmerc +lat_0=31 +lon_0=-106.25 +k=0.9999 +x_0=500000.0001016001 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6400	# NAD83(2011) / New Mexico East
	6401	<6530> +proj=tmerc +lat_0=31 +lon_0=-104.3333333333333 +k=0.999909091 +x_0=165000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6402	# NAD83(2011) / New Mexico East (ftUS)
	6403	<6531> +proj=tmerc +lat_0=31 +lon_0=-104.3333333333333 +k=0.999909091 +x_0=165000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6404	# NAD83(2011) / New Mexico West
	6405	<6532> +proj=tmerc +lat_0=31 +lon_0=-107.8333333333333 +k=0.999916667 +x_0=830000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6406	# NAD83(2011) / New Mexico West (ftUS)
	6407	<6533> +proj=tmerc +lat_0=31 +lon_0=-107.8333333333333 +k=0.999916667 +x_0=830000.0001016001 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6408	# NAD83(2011) / New York Central
	6409	<6534> +proj=tmerc +lat_0=40 +lon_0=-76.58333333333333 +k=0.9999375 +x_0=250000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6410	# NAD83(2011) / New York Central (ftUS)
	6411	<6535> +proj=tmerc +lat_0=40 +lon_0=-76.58333333333333 +k=0.9999375 +x_0=249999.9998983998 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6412	# NAD83(2011) / New York East
	6413	<6536> +proj=tmerc +lat_0=38.83333333333334 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6414	# NAD83(2011) / New York East (ftUS)
	6415	<6537> +proj=tmerc +lat_0=38.83333333333334 +lon_0=-74.5 +k=0.9999 +x_0=150000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6416	# NAD83(2011) / New York Long Island
	6417	<6538> +proj=lcc +lat_1=41.03333333333333 +lat_2=40.66666666666666 +lat_0=40.16666666666666 +lon_0=-74 +x_0=300000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6418	# NAD83(2011) / New York Long Island (ftUS)
	6419	<6539> +proj=lcc +lat_1=41.03333333333333 +lat_2=40.66666666666666 +lat_0=40.16666666666666 +lon_0=-74 +x_0=300000.0000000001 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6420	# NAD83(2011) / New York West
	6421	<6540> +proj=tmerc +lat_0=40 +lon_0=-78.58333333333333 +k=0.9999375 +x_0=350000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6422	# NAD83(2011) / New York West (ftUS)
	6423	<6541> +proj=tmerc +lat_0=40 +lon_0=-78.58333333333333 +k=0.9999375 +x_0=350000.0001016001 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6424	# NAD83(2011) / North Carolina
	6425	<6542> +proj=lcc +lat_1=36.16666666666666 +lat_2=34.33333333333334 +lat_0=33.75 +lon_0=-79 +x_0=609601.22 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6426	# NAD83(2011) / North Carolina (ftUS)
	6427	<6543> +proj=lcc +lat_1=36.16666666666666 +lat_2=34.33333333333334 +lat_0=33.75 +lon_0=-79 +x_0=609601.2192024384 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6428	# NAD83(2011) / North Dakota North
	6429	<6544> +proj=lcc +lat_1=48.73333333333333 +lat_2=47.43333333333333 +lat_0=47 +lon_0=-100.5 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6430	# NAD83(2011) / North Dakota North (ft)
	6431	<6545> +proj=lcc +lat_1=48.73333333333333 +lat_2=47.43333333333333 +lat_0=47 +lon_0=-100.5 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6432	# NAD83(2011) / North Dakota South
	6433	<6546> +proj=lcc +lat_1=47.48333333333333 +lat_2=46.18333333333333 +lat_0=45.66666666666666 +lon_0=-100.5 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6434	# NAD83(2011) / North Dakota South (ft)
	6435	<6547> +proj=lcc +lat_1=47.48333333333333 +lat_2=46.18333333333333 +lat_0=45.66666666666666 +lon_0=-100.5 +x_0=599999.9999976 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6436	# NAD83(2011) / Ohio North
	6437	<6548> +proj=lcc +lat_1=41.7 +lat_2=40.43333333333333 +lat_0=39.66666666666666 +lon_0=-82.5 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6438	# NAD83(2011) / Ohio North (ftUS)
	6439	<6549> +proj=lcc +lat_1=41.7 +lat_2=40.43333333333333 +lat_0=39.66666666666666 +lon_0=-82.5 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6440	# NAD83(2011) / Ohio South
	6441	<6550> +proj=lcc +lat_1=40.03333333333333 +lat_2=38.73333333333333 +lat_0=38 +lon_0=-82.5 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6442	# NAD83(2011) / Ohio South (ftUS)
	6443	<6551> +proj=lcc +lat_1=40.03333333333333 +lat_2=38.73333333333333 +lat_0=38 +lon_0=-82.5 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6444	# NAD83(2011) / Oklahoma North
	6445	<6552> +proj=lcc +lat_1=36.76666666666667 +lat_2=35.56666666666667 +lat_0=35 +lon_0=-98 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6446	# NAD83(2011) / Oklahoma North (ftUS)
	6447	<6553> +proj=lcc +lat_1=36.76666666666667 +lat_2=35.56666666666667 +lat_0=35 +lon_0=-98 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6448	# NAD83(2011) / Oklahoma South
	6449	<6554> +proj=lcc +lat_1=35.23333333333333 +lat_2=33.93333333333333 +lat_0=33.33333333333334 +lon_0=-98 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6450	# NAD83(2011) / Oklahoma South (ftUS)
	6451	<6555> +proj=lcc +lat_1=35.23333333333333 +lat_2=33.93333333333333 +lat_0=33.33333333333334 +lon_0=-98 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6452	# NAD83(2011) / Oregon LCC (m)
	6453	<6556> +proj=lcc +lat_1=43 +lat_2=45.5 +lat_0=41.75 +lon_0=-120.5 +x_0=400000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6454	# NAD83(2011) / Oregon GIC Lambert (ft)
	6455	<6557> +proj=lcc +lat_1=43 +lat_2=45.5 +lat_0=41.75 +lon_0=-120.5 +x_0=399999.9999984 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6456	# NAD83(2011) / Oregon North
	6457	<6558> +proj=lcc +lat_1=46 +lat_2=44.33333333333334 +lat_0=43.66666666666666 +lon_0=-120.5 +x_0=2500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6458	# NAD83(2011) / Oregon North (ft)
	6459	<6559> +proj=lcc +lat_1=46 +lat_2=44.33333333333334 +lat_0=43.66666666666666 +lon_0=-120.5 +x_0=2500000.0001424 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6460	# NAD83(2011) / Oregon South
	6461	<6560> +proj=lcc +lat_1=44 +lat_2=42.33333333333334 +lat_0=41.66666666666666 +lon_0=-120.5 +x_0=1500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6462	# NAD83(2011) / Oregon South (ft)
	6463	<6561> +proj=lcc +lat_1=44 +lat_2=42.33333333333334 +lat_0=41.66666666666666 +lon_0=-120.5 +x_0=1500000.0001464 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6464	# NAD83(2011) / Pennsylvania North
	6465	<6562> +proj=lcc +lat_1=41.95 +lat_2=40.88333333333333 +lat_0=40.16666666666666 +lon_0=-77.75 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6466	# NAD83(2011) / Pennsylvania North (ftUS)
	6467	<6563> +proj=lcc +lat_1=41.95 +lat_2=40.88333333333333 +lat_0=40.16666666666666 +lon_0=-77.75 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6468	# NAD83(2011) / Pennsylvania South
	6469	<6564> +proj=lcc +lat_1=40.96666666666667 +lat_2=39.93333333333333 +lat_0=39.33333333333334 +lon_0=-77.75 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6470	# NAD83(2011) / Pennsylvania South (ftUS)
	6471	<6565> +proj=lcc +lat_1=40.96666666666667 +lat_2=39.93333333333333 +lat_0=39.33333333333334 +lon_0=-77.75 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6472	# NAD83(2011) / Puerto Rico and Virgin Is.
	6473	<6566> +proj=lcc +lat_1=18.43333333333333 +lat_2=18.03333333333333 +lat_0=17.83333333333333 +lon_0=-66.43333333333334 +x_0=200000 +y_0=200000 +ellps=GRS80 +units=m +no_defs <>
	6474	# NAD83(2011) / Rhode Island
	6475	<6567> +proj=tmerc +lat_0=41.08333333333334 +lon_0=-71.5 +k=0.99999375 +x_0=100000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6476	# NAD83(2011) / Rhode Island (ftUS)
	6477	<6568> +proj=tmerc +lat_0=41.08333333333334 +lon_0=-71.5 +k=0.99999375 +x_0=99999.99998983997 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6478	# NAD83(2011) / South Carolina
	6479	<6569> +proj=lcc +lat_1=34.83333333333334 +lat_2=32.5 +lat_0=31.83333333333333 +lon_0=-81 +x_0=609600 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6480	# NAD83(2011) / South Carolina (ft)
	6481	<6570> +proj=lcc +lat_1=34.83333333333334 +lat_2=32.5 +lat_0=31.83333333333333 +lon_0=-81 +x_0=609600 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6482	# NAD83(2011) / South Dakota North
	6483	<6571> +proj=lcc +lat_1=45.68333333333333 +lat_2=44.41666666666666 +lat_0=43.83333333333334 +lon_0=-100 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6484	# NAD83(2011) / South Dakota North (ftUS)
	6485	<6572> +proj=lcc +lat_1=45.68333333333333 +lat_2=44.41666666666666 +lat_0=43.83333333333334 +lon_0=-100 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6486	# NAD83(2011) / South Dakota South
	6487	<6573> +proj=lcc +lat_1=44.4 +lat_2=42.83333333333334 +lat_0=42.33333333333334 +lon_0=-100.3333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6488	# NAD83(2011) / South Dakota South (ftUS)
	6489	<6574> +proj=lcc +lat_1=44.4 +lat_2=42.83333333333334 +lat_0=42.33333333333334 +lon_0=-100.3333333333333 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6490	# NAD83(2011) / Tennessee
	6491	<6575> +proj=lcc +lat_1=36.41666666666666 +lat_2=35.25 +lat_0=34.33333333333334 +lon_0=-86 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6492	# NAD83(2011) / Tennessee (ftUS)
	6493	<6576> +proj=lcc +lat_1=36.41666666666666 +lat_2=35.25 +lat_0=34.33333333333334 +lon_0=-86 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6494	# NAD83(2011) / Texas Central
	6495	<6577> +proj=lcc +lat_1=31.88333333333333 +lat_2=30.11666666666667 +lat_0=29.66666666666667 +lon_0=-100.3333333333333 +x_0=700000 +y_0=3000000 +ellps=GRS80 +units=m +no_defs <>
	6496	# NAD83(2011) / Texas Central (ftUS)
	6497	<6578> +proj=lcc +lat_1=31.88333333333333 +lat_2=30.11666666666667 +lat_0=29.66666666666667 +lon_0=-100.3333333333333 +x_0=699999.9998983998 +y_0=3000000 +ellps=GRS80 +units=us-ft +no_defs <>
	6498	# NAD83(2011) / Texas Centric Albers Equal Area
	6499	<6579> +proj=aea +lat_1=27.5 +lat_2=35 +lat_0=18 +lon_0=-100 +x_0=1500000 +y_0=6000000 +ellps=GRS80 +units=m +no_defs <>
	6500	# NAD83(2011) / Texas Centric Lambert Conformal
	6501	<6580> +proj=lcc +lat_1=27.5 +lat_2=35 +lat_0=18 +lon_0=-100 +x_0=1500000 +y_0=5000000 +ellps=GRS80 +units=m +no_defs <>
	6502	# NAD83(2011) / Texas North
	6503	<6581> +proj=lcc +lat_1=36.18333333333333 +lat_2=34.65 +lat_0=34 +lon_0=-101.5 +x_0=200000 +y_0=1000000 +ellps=GRS80 +units=m +no_defs <>
	6504	# NAD83(2011) / Texas North (ftUS)
	6505	<6582> +proj=lcc +lat_1=36.18333333333333 +lat_2=34.65 +lat_0=34 +lon_0=-101.5 +x_0=200000.0001016002 +y_0=999999.9998983998 +ellps=GRS80 +units=us-ft +no_defs <>
	6506	# NAD83(2011) / Texas North Central
	6507	<6583> +proj=lcc +lat_1=33.96666666666667 +lat_2=32.13333333333333 +lat_0=31.66666666666667 +lon_0=-98.5 +x_0=600000 +y_0=2000000 +ellps=GRS80 +units=m +no_defs <>
	6508	# NAD83(2011) / Texas North Central (ftUS)
	6509	<6584> +proj=lcc +lat_1=33.96666666666667 +lat_2=32.13333333333333 +lat_0=31.66666666666667 +lon_0=-98.5 +x_0=600000 +y_0=2000000.0001016 +ellps=GRS80 +units=us-ft +no_defs <>
	6510	# NAD83(2011) / Texas South
	6511	<6585> +proj=lcc +lat_1=27.83333333333333 +lat_2=26.16666666666667 +lat_0=25.66666666666667 +lon_0=-98.5 +x_0=300000 +y_0=5000000 +ellps=GRS80 +units=m +no_defs <>
	6512	# NAD83(2011) / Texas South (ftUS)
	6513	<6586> +proj=lcc +lat_1=27.83333333333333 +lat_2=26.16666666666667 +lat_0=25.66666666666667 +lon_0=-98.5 +x_0=300000.0000000001 +y_0=5000000.0001016 +ellps=GRS80 +units=us-ft +no_defs <>
	6514	# NAD83(2011) / Texas South Central
	6515	<6587> +proj=lcc +lat_1=30.28333333333333 +lat_2=28.38333333333333 +lat_0=27.83333333333333 +lon_0=-99 +x_0=600000 +y_0=4000000 +ellps=GRS80 +units=m +no_defs <>
	6516	# NAD83(2011) / Texas South Central (ftUS)
	6517	<6588> +proj=lcc +lat_1=30.28333333333333 +lat_2=28.38333333333333 +lat_0=27.83333333333333 +lon_0=-99 +x_0=600000 +y_0=3999999.9998984 +ellps=GRS80 +units=us-ft +no_defs <>
	6518	# NAD83(2011) / Vermont
	6519	<6589> +proj=tmerc +lat_0=42.5 +lon_0=-72.5 +k=0.999964286 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6520	# NAD83(2011) / Vermont (ftUS)
	6521	<6590> +proj=tmerc +lat_0=42.5 +lon_0=-72.5 +k=0.999964286 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6522	# NAD83(2011) / Virginia Lambert
	6523	<6591> +proj=lcc +lat_1=37 +lat_2=39.5 +lat_0=36 +lon_0=-79.5 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6524	# NAD83(2011) / Virginia North
	6525	<6592> +proj=lcc +lat_1=39.2 +lat_2=38.03333333333333 +lat_0=37.66666666666666 +lon_0=-78.5 +x_0=3500000 +y_0=2000000 +ellps=GRS80 +units=m +no_defs <>
	6526	# NAD83(2011) / Virginia North (ftUS)
	6527	<6593> +proj=lcc +lat_1=39.2 +lat_2=38.03333333333333 +lat_0=37.66666666666666 +lon_0=-78.5 +x_0=3500000.0001016 +y_0=2000000.0001016 +ellps=GRS80 +units=us-ft +no_defs <>
	6528	# NAD83(2011) / Virginia South
	6529	<6594> +proj=lcc +lat_1=37.96666666666667 +lat_2=36.76666666666667 +lat_0=36.33333333333334 +lon_0=-78.5 +x_0=3500000 +y_0=1000000 +ellps=GRS80 +units=m +no_defs <>
	6530	# NAD83(2011) / Virginia South (ftUS)
	6531	<6595> +proj=lcc +lat_1=37.96666666666667 +lat_2=36.76666666666667 +lat_0=36.33333333333334 +lon_0=-78.5 +x_0=3500000.0001016 +y_0=999999.9998983998 +ellps=GRS80 +units=us-ft +no_defs <>
	6532	# NAD83(2011) / Washington North
	6533	<6596> +proj=lcc +lat_1=48.73333333333333 +lat_2=47.5 +lat_0=47 +lon_0=-120.8333333333333 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6534	# NAD83(2011) / Washington North (ftUS)
	6535	<6597> +proj=lcc +lat_1=48.73333333333333 +lat_2=47.5 +lat_0=47 +lon_0=-120.8333333333333 +x_0=500000.0001016001 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6536	# NAD83(2011) / Washington South
	6537	<6598> +proj=lcc +lat_1=47.33333333333334 +lat_2=45.83333333333334 +lat_0=45.33333333333334 +lon_0=-120.5 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6538	# NAD83(2011) / Washington South (ftUS)
	6539	<6599> +proj=lcc +lat_1=47.33333333333334 +lat_2=45.83333333333334 +lat_0=45.33333333333334 +lon_0=-120.5 +x_0=500000.0001016001 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6540	# NAD83(2011) / West Virginia North
	6541	<6600> +proj=lcc +lat_1=40.25 +lat_2=39 +lat_0=38.5 +lon_0=-79.5 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6542	# NAD83(2011) / West Virginia North (ftUS)
	6543	<6601> +proj=lcc +lat_1=40.25 +lat_2=39 +lat_0=38.5 +lon_0=-79.5 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6544	# NAD83(2011) / West Virginia South
	6545	<6602> +proj=lcc +lat_1=38.88333333333333 +lat_2=37.48333333333333 +lat_0=37 +lon_0=-81 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6546	# NAD83(2011) / West Virginia South (ftUS)
	6547	<6603> +proj=lcc +lat_1=38.88333333333333 +lat_2=37.48333333333333 +lat_0=37 +lon_0=-81 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6548	# NAD83(2011) / Wisconsin Central (deprecated)
	6549	<6604> +proj=lcc +lat_1=45.5 +lat_2=44.25 +lat_0=43.83333333333334 +lon_0=-90 +x_0=600000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6550	# NAD83(2011) / Wisconsin Central (ftUS)
	6551	<6605> +proj=lcc +lat_1=45.5 +lat_2=44.25 +lat_0=43.83333333333334 +lon_0=-90 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6552	# NAD83(2011) / Wisconsin North
	6553	<6606> +proj=lcc +lat_1=46.76666666666667 +lat_2=45.56666666666667 +lat_0=45.16666666666666 +lon_0=-90 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6554	# NAD83(2011) / Wisconsin North (ftUS)
	6555	<6607> +proj=lcc +lat_1=46.76666666666667 +lat_2=45.56666666666667 +lat_0=45.16666666666666 +lon_0=-90 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6556	# NAD83(2011) / Wisconsin South
	6557	<6608> +proj=lcc +lat_1=44.06666666666667 +lat_2=42.73333333333333 +lat_0=42 +lon_0=-90 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6558	# NAD83(2011) / Wisconsin South (ftUS)
	6559	<6609> +proj=lcc +lat_1=44.06666666666667 +lat_2=42.73333333333333 +lat_0=42 +lon_0=-90 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6560	# NAD83(2011) / Wisconsin Transverse Mercator
	6561	<6610> +proj=tmerc +lat_0=0 +lon_0=-90 +k=0.9996 +x_0=520000 +y_0=-4480000 +ellps=GRS80 +units=m +no_defs <>
	6562	# NAD83(2011) / Wyoming East
	6563	<6611> +proj=tmerc +lat_0=40.5 +lon_0=-105.1666666666667 +k=0.9999375 +x_0=200000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6564	# NAD83(2011) / Wyoming East (ftUS)
	6565	<6612> +proj=tmerc +lat_0=40.5 +lon_0=-105.1666666666667 +k=0.9999375 +x_0=200000.00001016 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6566	# NAD83(2011) / Wyoming East Central
	6567	<6613> +proj=tmerc +lat_0=40.5 +lon_0=-107.3333333333333 +k=0.9999375 +x_0=400000 +y_0=100000 +ellps=GRS80 +units=m +no_defs <>
	6568	# NAD83(2011) / Wyoming East Central (ftUS)
	6569	<6614> +proj=tmerc +lat_0=40.5 +lon_0=-107.3333333333333 +k=0.9999375 +x_0=399999.99998984 +y_0=99999.99998983997 +ellps=GRS80 +units=us-ft +no_defs <>
	6570	# NAD83(2011) / Wyoming West
	6571	<6615> +proj=tmerc +lat_0=40.5 +lon_0=-110.0833333333333 +k=0.9999375 +x_0=800000 +y_0=100000 +ellps=GRS80 +units=m +no_defs <>
	6572	# NAD83(2011) / Wyoming West (ftUS)
	6573	<6616> +proj=tmerc +lat_0=40.5 +lon_0=-110.0833333333333 +k=0.9999375 +x_0=800000.0000101599 +y_0=99999.99998983997 +ellps=GRS80 +units=us-ft +no_defs <>
	6574	# NAD83(2011) / Wyoming West Central
	6575	<6617> +proj=tmerc +lat_0=40.5 +lon_0=-108.75 +k=0.9999375 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6576	# NAD83(2011) / Wyoming West Central (ftUS)
	6577	<6618> +proj=tmerc +lat_0=40.5 +lon_0=-108.75 +k=0.9999375 +x_0=600000 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6578	# NAD83(2011) / Utah Central
	6579	<6619> +proj=lcc +lat_1=40.65 +lat_2=39.01666666666667 +lat_0=38.33333333333334 +lon_0=-111.5 +x_0=500000 +y_0=2000000 +ellps=GRS80 +units=m +no_defs <>
	6580	# NAD83(2011) / Utah North
	6581	<6620> +proj=lcc +lat_1=41.78333333333333 +lat_2=40.71666666666667 +lat_0=40.33333333333334 +lon_0=-111.5 +x_0=500000 +y_0=1000000 +ellps=GRS80 +units=m +no_defs <>
	6582	# NAD83(2011) / Utah South
	6583	<6621> +proj=lcc +lat_1=38.35 +lat_2=37.21666666666667 +lat_0=36.66666666666666 +lon_0=-111.5 +x_0=500000 +y_0=3000000 +ellps=GRS80 +units=m +no_defs <>
	6584	# NAD83(CSRS) / Quebec Lambert
	6585	<6622> +proj=lcc +lat_1=60 +lat_2=46 +lat_0=44 +lon_0=-68.5 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6586	# NAD83 / Quebec Albers
	6587	<6623> +proj=aea +lat_1=60 +lat_2=46 +lat_0=44 +lon_0=-68.5 +x_0=0 +y_0=0 +datum=NAD83 +units=m +no_defs <>
	6588	# NAD83(CSRS) / Quebec Albers
	6589	<6624> +proj=aea +lat_1=60 +lat_2=46 +lat_0=44 +lon_0=-68.5 +x_0=0 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6590	# NAD83(2011) / Utah Central (ftUS)
	6591	<6625> +proj=lcc +lat_1=40.65 +lat_2=39.01666666666667 +lat_0=38.33333333333334 +lon_0=-111.5 +x_0=500000.00001016 +y_0=2000000.00001016 +ellps=GRS80 +units=us-ft +no_defs <>
	6592	# NAD83(2011) / Utah North (ftUS)
	6593	<6626> +proj=lcc +lat_1=41.78333333333333 +lat_2=40.71666666666667 +lat_0=40.33333333333334 +lon_0=-111.5 +x_0=500000.00001016 +y_0=999999.9999898402 +ellps=GRS80 +units=us-ft +no_defs <>
	6594	# NAD83(2011) / Utah South (ftUS)
	6595	<6627> +proj=lcc +lat_1=38.35 +lat_2=37.21666666666667 +lat_0=36.66666666666666 +lon_0=-111.5 +x_0=500000.00001016 +y_0=3000000 +ellps=GRS80 +units=us-ft +no_defs <>
	6596	# NAD83(PA11) / Hawaii zone 1
	6597	<6628> +proj=tmerc +lat_0=18.83333333333333 +lon_0=-155.5 +k=0.999966667 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6598	# NAD83(PA11) / Hawaii zone 2
	6599	<6629> +proj=tmerc +lat_0=20.33333333333333 +lon_0=-156.6666666666667 +k=0.999966667 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6600	# NAD83(PA11) / Hawaii zone 3
	6601	<6630> +proj=tmerc +lat_0=21.16666666666667 +lon_0=-158 +k=0.99999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6602	# NAD83(PA11) / Hawaii zone 4
	6603	<6631> +proj=tmerc +lat_0=21.83333333333333 +lon_0=-159.5 +k=0.99999 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6604	# NAD83(PA11) / Hawaii zone 5
	6605	<6632> +proj=tmerc +lat_0=21.66666666666667 +lon_0=-160.1666666666667 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6606	# NAD83(PA11) / Hawaii zone 3 (ftUS)
	6607	<6633> +proj=tmerc +lat_0=21.16666666666667 +lon_0=-158 +k=0.99999 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6608	# NAD83(PA11) / UTM zone 4N
	6609	<6634> +proj=utm +zone=4 +ellps=GRS80 +units=m +no_defs <>
	6610	# NAD83(PA11) / UTM zone 5N
	6611	<6635> +proj=utm +zone=5 +ellps=GRS80 +units=m +no_defs <>
	6612	# NAD83(PA11) / UTM zone 2S
	6613	<6636> +proj=utm +zone=2 +south +ellps=GRS80 +units=m +no_defs <>
	6614	# NAD83(MA11) / Guam Map Grid
	6615	<6637> +proj=tmerc +lat_0=13.5 +lon_0=144.75 +k=1 +x_0=100000 +y_0=200000 +ellps=GRS80 +units=m +no_defs <>
	6616	# Karbala 1979 / Iraq National Grid
	6617	<6646> +proj=tmerc +lat_0=29.02626833333333 +lon_0=46.5 +k=0.9994 +x_0=800000 +y_0=0 +ellps=clrk80 +towgs84=70.995,-335.916,262.898,0,0,0,0 +units=m +no_defs <>
	6618	# JGD2011 / Japan Plane Rectangular CS I
	6619	<6669> +proj=tmerc +lat_0=33 +lon_0=129.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6620	# JGD2011 / Japan Plane Rectangular CS II
	6621	<6670> +proj=tmerc +lat_0=33 +lon_0=131 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6622	# JGD2011 / Japan Plane Rectangular CS III
	6623	<6671> +proj=tmerc +lat_0=36 +lon_0=132.1666666666667 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6624	# JGD2011 / Japan Plane Rectangular CS IV
	6625	<6672> +proj=tmerc +lat_0=33 +lon_0=133.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6626	# JGD2011 / Japan Plane Rectangular CS V
	6627	<6673> +proj=tmerc +lat_0=36 +lon_0=134.3333333333333 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6628	# JGD2011 / Japan Plane Rectangular CS VI
	6629	<6674> +proj=tmerc +lat_0=36 +lon_0=136 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6630	# JGD2011 / Japan Plane Rectangular CS VII
	6631	<6675> +proj=tmerc +lat_0=36 +lon_0=137.1666666666667 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6632	# JGD2011 / Japan Plane Rectangular CS VIII
	6633	<6676> +proj=tmerc +lat_0=36 +lon_0=138.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6634	# JGD2011 / Japan Plane Rectangular CS IX
	6635	<6677> +proj=tmerc +lat_0=36 +lon_0=139.8333333333333 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6636	# JGD2011 / Japan Plane Rectangular CS X
	6637	<6678> +proj=tmerc +lat_0=40 +lon_0=140.8333333333333 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6638	# JGD2011 / Japan Plane Rectangular CS XI
	6639	<6679> +proj=tmerc +lat_0=44 +lon_0=140.25 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6640	# JGD2011 / Japan Plane Rectangular CS XII
	6641	<6680> +proj=tmerc +lat_0=44 +lon_0=142.25 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6642	# JGD2011 / Japan Plane Rectangular CS XIII
	6643	<6681> +proj=tmerc +lat_0=44 +lon_0=144.25 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6644	# JGD2011 / Japan Plane Rectangular CS XIV
	6645	<6682> +proj=tmerc +lat_0=26 +lon_0=142 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6646	# JGD2011 / Japan Plane Rectangular CS XV
	6647	<6683> +proj=tmerc +lat_0=26 +lon_0=127.5 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6648	# JGD2011 / Japan Plane Rectangular CS XVI
	6649	<6684> +proj=tmerc +lat_0=26 +lon_0=124 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6650	# JGD2011 / Japan Plane Rectangular CS XVII
	6651	<6685> +proj=tmerc +lat_0=26 +lon_0=131 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6652	# JGD2011 / Japan Plane Rectangular CS XVIII
	6653	<6686> +proj=tmerc +lat_0=20 +lon_0=136 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6654	# JGD2011 / Japan Plane Rectangular CS XIX
	6655	<6687> +proj=tmerc +lat_0=26 +lon_0=154 +k=0.9999 +x_0=0 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6656	# JGD2011 / UTM zone 51N
	6657	<6688> +proj=utm +zone=51 +ellps=GRS80 +units=m +no_defs <>
	6658	# JGD2011 / UTM zone 52N
	6659	<6689> +proj=utm +zone=52 +ellps=GRS80 +units=m +no_defs <>
	6660	# JGD2011 / UTM zone 53N
	6661	<6690> +proj=utm +zone=53 +ellps=GRS80 +units=m +no_defs <>
	6662	# JGD2011 / UTM zone 54N
	6663	<6691> +proj=utm +zone=54 +ellps=GRS80 +units=m +no_defs <>
	6664	# JGD2011 / UTM zone 55N
	6665	<6692> +proj=utm +zone=55 +ellps=GRS80 +units=m +no_defs <>
	6666	# WGS 84 / TM 60 SW
	6667	<6703> +proj=tmerc +lat_0=0 +lon_0=-60 +k=0.9996 +x_0=500000 +y_0=10000000 +datum=WGS84 +units=m +no_defs <>
	6668	# RDN2008 / TM32
	6669	<6707> +proj=utm +zone=32 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6670	# RDN2008 / TM33
	6671	<6708> +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6672	# RDN2008 / TM34
	6673	<6709> +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6674	# WGS 84 / CIG92
	6675	<6720> +proj=tmerc +lat_0=0 +lon_0=105.625 +k=1.000024 +x_0=50000 +y_0=1300000 +datum=WGS84 +units=m +no_defs <>
	6676	# GDA94 / CIG94
	6677	<6721> +proj=tmerc +lat_0=0 +lon_0=105.625 +k=1.00002514 +x_0=50000 +y_0=1300000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6678	# WGS 84 / CKIG92
	6679	<6722> +proj=tmerc +lat_0=0 +lon_0=96.875 +k=1 +x_0=50000 +y_0=1400000 +datum=WGS84 +units=m +no_defs <>
	6680	# GDA94 / CKIG94
	6681	<6723> +proj=tmerc +lat_0=0 +lon_0=96.875 +k=0.99999387 +x_0=50000 +y_0=1500000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6682	# GDA94 / MGA zone 41
	6683	<6732> +proj=utm +zone=41 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6684	# GDA94 / MGA zone 42
	6685	<6733> +proj=utm +zone=42 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6686	# GDA94 / MGA zone 43
	6687	<6734> +proj=utm +zone=43 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6688	# GDA94 / MGA zone 44
	6689	<6735> +proj=utm +zone=44 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6690	# GDA94 / MGA zone 46
	6691	<6736> +proj=utm +zone=46 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6692	# GDA94 / MGA zone 47
	6693	<6737> +proj=utm +zone=47 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6694	# GDA94 / MGA zone 59
	6695	<6738> +proj=utm +zone=59 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6696	# NAD83(CORS96) / Oregon LCC (m)
	6697	<6867> +proj=lcc +lat_1=43 +lat_2=45.5 +lat_0=41.75 +lon_0=-120.5 +x_0=400000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6698	# NAD83(CORS96) / Oregon GIC Lambert (ft)
	6699	<6868> +proj=lcc +lat_1=43 +lat_2=45.5 +lat_0=41.75 +lon_0=-120.5 +x_0=399999.9999984 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6700	# ETRS89 / Albania 2010
	6701	<6870> +proj=tmerc +lat_0=0 +lon_0=20 +k=1 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6702	# RDN2008 / Italy zone
	6703	<6875> +proj=tmerc +lat_0=0 +lon_0=12 +k=0.9985000000000001 +x_0=7000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6704	# RDN2008 / Zone 12
	6705	<6876> +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=3000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
	6706	# NAD83(2011) / Wisconsin Central
	6707	<6879> +proj=lcc +lat_1=45.5 +lat_2=44.25 +lat_0=43.83333333333334 +lon_0=-90 +x_0=600000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6708	# NAD83(2011) / Nebraska (ftUS)
	6709	<6880> +proj=lcc +lat_1=43 +lat_2=40 +lat_0=39.83333333333334 +lon_0=-100 +x_0=500000.00001016 +y_0=0 +ellps=GRS80 +units=us-ft +no_defs <>
	6710	# NAD83(CORS96) / Oregon North
	6711	<6884> +proj=lcc +lat_1=46 +lat_2=44.33333333333334 +lat_0=43.66666666666666 +lon_0=-120.5 +x_0=2500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6712	# NAD83(CORS96) / Oregon North (ft)
	6713	<6885> +proj=lcc +lat_1=46 +lat_2=44.33333333333334 +lat_0=43.66666666666666 +lon_0=-120.5 +x_0=2500000.0001424 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
	6714	# NAD83(CORS96) / Oregon South
	6715	<6886> +proj=lcc +lat_1=44 +lat_2=42.33333333333334 +lat_0=41.66666666666666 +lon_0=-120.5 +x_0=1500000 +y_0=0 +ellps=GRS80 +units=m +no_defs <>
	6716	# NAD83(CORS96) / Oregon South (ft)
	6717	<6887> +proj=lcc +lat_1=44 +lat_2=42.33333333333334 +lat_0=41.66666666666666 +lon_0=-120.5 +x_0=1500000.0001464 +y_0=0 +ellps=GRS80 +units=ft +no_defs <>
5693	6718	# Pulkovo 1995 / Gauss-Kruger zone 4
5694	6719	<20004> +proj=tmerc +lat_0=0 +lon_0=21 +k=1 +x_0=4500000 +y_0=0 +ellps=krass +towgs84=24.47,-130.89,-81.56,-0,-0,0.13,-0.22 +units=m +no_defs <>
5695	6720	# Pulkovo 1995 / Gauss-Kruger zone 5

6094	7119	# Carthage / Sud Tunisie
6095	7120	<22392> +proj=lcc +lat_1=33.3 +lat_0=33.3 +lon_0=9.9 +k_0=0.999625769 +x_0=500000 +y_0=300000 +datum=carthage +units=m +no_defs <>
6096	7121	# Corrego Alegre 1970-72 / UTM zone 21S
6097		<22521> +proj=utm +zone=21 +south +ellps=intl +towgs84=-206,172,-6,0,0,0,0 +units=m +no_defs <>
	7122	<22521> +proj=utm +zone=21 +south +ellps=intl +towgs84=-205.57,168.77,-4.12,0,0,0,0 +units=m +no_defs <>
6098	7123	# Corrego Alegre 1970-72 / UTM zone 22S
6099		<22522> +proj=utm +zone=22 +south +ellps=intl +towgs84=-206,172,-6,0,0,0,0 +units=m +no_defs <>
	7124	<22522> +proj=utm +zone=22 +south +ellps=intl +towgs84=-205.57,168.77,-4.12,0,0,0,0 +units=m +no_defs <>
6100	7125	# Corrego Alegre 1970-72 / UTM zone 23S
6101		<22523> +proj=utm +zone=23 +south +ellps=intl +towgs84=-206,172,-6,0,0,0,0 +units=m +no_defs <>
	7126	<22523> +proj=utm +zone=23 +south +ellps=intl +towgs84=-205.57,168.77,-4.12,0,0,0,0 +units=m +no_defs <>
6102	7127	# Corrego Alegre 1970-72 / UTM zone 24S
6103		<22524> +proj=utm +zone=24 +south +ellps=intl +towgs84=-206,172,-6,0,0,0,0 +units=m +no_defs <>
	7128	<22524> +proj=utm +zone=24 +south +ellps=intl +towgs84=-205.57,168.77,-4.12,0,0,0,0 +units=m +no_defs <>
6104	7129	# Corrego Alegre 1970-72 / UTM zone 25S
6105		<22525> +proj=utm +zone=25 +south +ellps=intl +towgs84=-206,172,-6,0,0,0,0 +units=m +no_defs <>
	7130	<22525> +proj=utm +zone=25 +south +ellps=intl +towgs84=-205.57,168.77,-4.12,0,0,0,0 +units=m +no_defs <>
6106	7131	# Deir ez Zor / Levant Zone
6107	7132	<22700> +proj=lcc +lat_1=34.65 +lat_0=34.65 +lon_0=37.35 +k_0=0.9996256 +x_0=300000 +y_0=300000 +a=6378249.2 +b=6356515 +towgs84=-190.421,8.532,238.69,0,0,0,0 +units=m +no_defs <>
6108	7133	# Deir ez Zor / Syria Lambert

6607	7632	<26802> +proj=tmerc +lat_0=41.5 +lon_0=-85.75 +k=0.999909091 +x_0=152400.3048006096 +y_0=0 +a=6378450.047548896 +b=6356826.621488444 +units=us-ft +no_defs <>
6608	7633	# NAD Michigan / Michigan West (deprecated)
6609	7634	<26803> +proj=tmerc +lat_0=41.5 +lon_0=-88.75 +k=0.999909091 +x_0=152400.3048006096 +y_0=0 +a=6378450.047548896 +b=6356826.621488444 +units=us-ft +no_defs <>
6610		# NAD Michigan / Michigan North
	7635	# NAD Michigan / Michigan North (deprecated)
6611	7636	<26811> +proj=lcc +lat_1=45.48333333333333 +lat_2=47.08333333333334 +lat_0=44.78333333333333 +lon_0=-87 +x_0=609601.2192024384 +y_0=0 +a=6378450.047548896 +b=6356826.621488444 +units=us-ft +no_defs <>
6612		# NAD Michigan / Michigan Central
	7637	# NAD Michigan / Michigan Central (deprecated)
6613	7638	<26812> +proj=lcc +lat_1=44.18333333333333 +lat_2=45.7 +lat_0=43.31666666666667 +lon_0=-84.33333333333333 +x_0=609601.2192024384 +y_0=0 +a=6378450.047548896 +b=6356826.621488444 +units=us-ft +no_defs <>
6614		# NAD Michigan / Michigan South
	7639	# NAD Michigan / Michigan South (deprecated)
6615	7640	<26813> +proj=lcc +lat_1=42.1 +lat_2=43.66666666666666 +lat_0=41.5 +lon_0=-84.33333333333333 +x_0=609601.2192024384 +y_0=0 +a=6378450.047548896 +b=6356826.621488444 +units=us-ft +no_defs <>
6616	7641	# NAD83 / Maine East (ftUS) (deprecated)
6617	7642	<26814> +proj=tmerc +lat_0=43.66666666666666 +lon_0=-68.5 +k=0.9999 +x_0=300000 +y_0=0 +datum=NAD83 +units=m +no_defs <>

7055	8080	<28193> +proj=cass +lat_0=31.73409694444445 +lon_0=35.21208055555556 +x_0=170251.555 +y_0=1126867.909 +a=6378300.789 +b=6356566.435 +towgs84=-275.722,94.7824,340.894,-8.001,-4.42,-11.821,1 +units=m +no_defs <>
7056	8081	# Pointe Noire / UTM zone 32S
7057	8082	<28232> +proj=utm +zone=32 +south +a=6378249.2 +b=6356515 +towgs84=-148,51,-291,0,0,0,0 +units=m +no_defs <>
7058		# GDA94 / MGA zone 48 (deprecated)
	8083	# GDA94 / MGA zone 48
7059	8084	<28348> +proj=utm +zone=48 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>
7060	8085	# GDA94 / MGA zone 49
7061	8086	<28349> +proj=utm +zone=49 +south +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs <>

7210	8235	# SAD69 / Brazil Polyconic (deprecated)
7211	8236	<29100> +proj=poly +lat_0=0 +lon_0=-54 +x_0=5000000 +y_0=10000000 +ellps=GRS67 +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
7212	8237	# SAD69 / Brazil Polyconic
7213		<29101> +proj=poly +lat_0=0 +lon_0=-54 +x_0=5000000 +y_0=10000000 +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8238	<29101> +proj=poly +lat_0=0 +lon_0=-54 +x_0=5000000 +y_0=10000000 +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7214	8239	# SAD69 / UTM zone 18N (deprecated)
7215	8240	<29118> +proj=utm +zone=18 +ellps=GRS67 +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
7216	8241	# SAD69 / UTM zone 19N (deprecated)

7222	8247	# SAD69 / UTM zone 22N (deprecated)
7223	8248	<29122> +proj=utm +zone=22 +ellps=GRS67 +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
7224	8249	# SAD69 / UTM zone 18N
7225		<29168> +proj=utm +zone=18 +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8250	<29168> +proj=utm +zone=18 +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7226	8251	# SAD69 / UTM zone 19N
7227		<29169> +proj=utm +zone=19 +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8252	<29169> +proj=utm +zone=19 +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7228	8253	# SAD69 / UTM zone 20N
7229		<29170> +proj=utm +zone=20 +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8254	<29170> +proj=utm +zone=20 +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7230	8255	# SAD69 / UTM zone 21N
7231		<29171> +proj=utm +zone=21 +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8256	<29171> +proj=utm +zone=21 +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7232	8257	# SAD69 / UTM zone 22N
7233		<29172> +proj=utm +zone=22 +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8258	<29172> +proj=utm +zone=22 +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7234	8259	# SAD69 / UTM zone 17S (deprecated)
7235	8260	<29177> +proj=utm +zone=17 +south +ellps=GRS67 +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
7236	8261	# SAD69 / UTM zone 18S (deprecated)

7250	8275	# SAD69 / UTM zone 25S (deprecated)
7251	8276	<29185> +proj=utm +zone=25 +south +ellps=GRS67 +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
7252	8277	# SAD69 / UTM zone 17S
7253		<29187> +proj=utm +zone=17 +south +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8278	<29187> +proj=utm +zone=17 +south +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7254	8279	# SAD69 / UTM zone 18S
7255		<29188> +proj=utm +zone=18 +south +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8280	<29188> +proj=utm +zone=18 +south +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7256	8281	# SAD69 / UTM zone 19S
7257		<29189> +proj=utm +zone=19 +south +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8282	<29189> +proj=utm +zone=19 +south +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7258	8283	# SAD69 / UTM zone 20S
7259		<29190> +proj=utm +zone=20 +south +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8284	<29190> +proj=utm +zone=20 +south +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7260	8285	# SAD69 / UTM zone 21S
7261		<29191> +proj=utm +zone=21 +south +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8286	<29191> +proj=utm +zone=21 +south +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7262	8287	# SAD69 / UTM zone 22S
7263		<29192> +proj=utm +zone=22 +south +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8288	<29192> +proj=utm +zone=22 +south +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7264	8289	# SAD69 / UTM zone 23S
7265		<29193> +proj=utm +zone=23 +south +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8290	<29193> +proj=utm +zone=23 +south +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7266	8291	# SAD69 / UTM zone 24S
7267		<29194> +proj=utm +zone=24 +south +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8292	<29194> +proj=utm +zone=24 +south +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7268	8293	# SAD69 / UTM zone 25S
7269		<29195> +proj=utm +zone=25 +south +ellps=aust_SA +towgs84=-57,1,-41,0,0,0,0 +units=m +no_defs <>
	8294	<29195> +proj=utm +zone=25 +south +ellps=aust_SA +towgs84=-66.87,4.37,-38.52,0,0,0,0 +units=m +no_defs <>
7270	8295	# Sapper Hill 1943 / UTM zone 20S
7271	8296	<29220> +proj=utm +zone=20 +south +ellps=intl +towgs84=-355,21,72,0,0,0,0 +units=m +no_defs <>
7272	8297	# Sapper Hill 1943 / UTM zone 21S

8625	9650	<32761> +proj=stere +lat_0=-90 +lat_ts=-90 +lon_0=0 +k=0.994 +x_0=2000000 +y_0=2000000 +datum=WGS84 +units=m +no_defs <>
8626	9651	# WGS 84 / TM 36 SE
8627	9652	<32766> +proj=tmerc +lat_0=0 +lon_0=36 +k=0.9996 +x_0=500000 +y_0=10000000 +datum=WGS84 +units=m +no_defs <>
	9653	# TWD97
	9654	<3822> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9655	# IGRS
	9656	<3887> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9657	# MOLDREF99
	9658	<4000> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9659	# RGRDC 2005
	9660	<4039> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9661	# SREF98
	9662	<4073> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9663	# REGCAN95
	9664	<4079> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9665	# WGS 84 (geocentric)
	9666	<4328> +proj=geocent +datum=WGS84 +units=m +no_defs <>
	9667	# ITRF88 (geocentric)
	9668	<4330> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9669	# ITRF89 (geocentric)
	9670	<4331> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9671	# ITRF90 (geocentric)
	9672	<4332> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9673	# ITRF91 (geocentric)
	9674	<4333> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9675	# ITRF92 (geocentric)
	9676	<4334> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9677	# ITRF93 (geocentric)
	9678	<4335> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9679	# ITRF94 (geocentric)
	9680	<4336> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9681	# ITRF96 (geocentric)
	9682	<4337> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9683	# ITRF97 (geocentric)
	9684	<4338> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9685	# Australian Antarctic (geocentric)
	9686	<4340> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9687	# EST97 (geocentric)
	9688	<4342> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9689	# CHTRF95 (geocentric)
	9690	<4344> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9691	# ETRS89 (geocentric)
	9692	<4346> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9693	# GDA94 (geocentric)
	9694	<4348> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9695	# Hartebeesthoek94 (geocentric)
	9696	<4350> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9697	# IRENET95 (geocentric)
	9698	<4352> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9699	# JGD2000 (geocentric)
	9700	<4354> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9701	# LKS94 (ETRS89) (geocentric)
	9702	<4356> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9703	# Moznet (geocentric)
	9704	<4358> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9705	# NAD83(CSRS) (geocentric)
	9706	<4360> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9707	# NAD83(HARN) (geocentric)
	9708	<4362> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9709	# NZGD2000 (geocentric)
	9710	<4364> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9711	# POSGAR 98 (geocentric)
	9712	<4366> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9713	# REGVEN (geocentric)
	9714	<4368> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9715	# RGF93 (geocentric)
	9716	<4370> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9717	# RGFG95 (geocentric)
	9718	<4372> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9719	# RGR92 (geocentric)
	9720	<4374> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9721	# SIRGAS (geocentric)
	9722	<4376> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9723	# SWEREF99 (geocentric)
	9724	<4378> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9725	# Yemen NGN96 (geocentric)
	9726	<4380> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9727	# RGNC 1991 (geocentric)
	9728	<4382> +proj=geocent +ellps=intl +units=m +no_defs <>
	9729	# RRAF 1991 (geocentric)
	9730	<4384> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9731	# ITRF2000 (geocentric)
	9732	<4385> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9733	# ISN93 (geocentric)
	9734	<4387> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9735	# LKS92 (geocentric)
	9736	<4389> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9737	# RGSPM06
	9738	<4465> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9739	# RGM04
	9740	<4468> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9741	# Cadastre 1997
	9742	<4473> +proj=geocent +ellps=intl +units=m +no_defs <>
	9743	# China Geodetic Coordinate System 2000
	9744	<4479> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9745	# Mexico ITRF92
	9746	<4481> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9747	# RRAF 1991
	9748	<4556> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9749	# Slovenia 1996
	9750	<4882> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9751	# RSRGD2000
	9752	<4884> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9753	# BDA2000
	9754	<4886> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9755	# HTRS96
	9756	<4888> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9757	# WGS 66
	9758	<4890> +proj=geocent +ellps=WGS66 +units=m +no_defs <>
	9759	# NAD83(NSRS2007)
	9760	<4892> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9761	# JAD2001
	9762	<4894> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9763	# ITRF2005
	9764	<4896> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9765	# DGN95
	9766	<4897> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9767	# LGD2006
	9768	<4899> +proj=geocent +ellps=intl +units=m +no_defs <>
	9769	# RGNC91-93
	9770	<4906> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9771	# GR96
	9772	<4908> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9773	# ITRF88
	9774	<4910> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9775	# ITRF89
	9776	<4911> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9777	# ITRF90
	9778	<4912> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9779	# ITRF91
	9780	<4913> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9781	# ITRF92
	9782	<4914> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9783	# ITRF93
	9784	<4915> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9785	# ITRF94
	9786	<4916> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9787	# ITRF96
	9788	<4917> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9789	# ITRF97
	9790	<4918> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9791	# ITRF2000
	9792	<4919> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9793	# GDM2000
	9794	<4920> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9795	# PZ-90
	9796	<4922> +proj=geocent +a=6378136 +b=6356751.361745712 +units=m +no_defs <>
	9797	# Mauritania 1999
	9798	<4924> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9799	# Korea 2000
	9800	<4926> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9801	# POSGAR 94
	9802	<4928> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9803	# Australian Antarctic
	9804	<4930> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9805	# CHTRF95
	9806	<4932> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9807	# EST97
	9808	<4934> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9809	# ETRS89
	9810	<4936> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9811	# GDA94
	9812	<4938> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9813	# Hartebeesthoek94
	9814	<4940> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9815	# IRENET95
	9816	<4942> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9817	# ISN93
	9818	<4944> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9819	# JGD2000
	9820	<4946> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9821	# LKS92
	9822	<4948> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9823	# LKS94
	9824	<4950> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9825	# Moznet
	9826	<4952> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9827	# NAD83(CSRS)
	9828	<4954> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9829	# NAD83(HARN)
	9830	<4956> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9831	# NZGD2000
	9832	<4958> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9833	# POSGAR 98
	9834	<4960> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9835	# REGVEN
	9836	<4962> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9837	# RGF93
	9838	<4964> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9839	# RGFG95
	9840	<4966> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9841	# RGNC 1991
	9842	<4968> +proj=geocent +ellps=intl +units=m +no_defs <>
	9843	# RGR92
	9844	<4970> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9845	# RRAF 1991
	9846	<4972> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9847	# SIRGAS 1995
	9848	<4974> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9849	# SWEREF99
	9850	<4976> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9851	# WGS 84
	9852	<4978> +proj=geocent +datum=WGS84 +units=m +no_defs <>
	9853	# Yemen NGN96
	9854	<4980> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9855	# IGM95
	9856	<4982> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9857	# WGS 72
	9858	<4984> +proj=geocent +ellps=WGS72 +units=m +no_defs <>
	9859	# WGS 72BE
	9860	<4986> +proj=geocent +ellps=WGS72 +units=m +no_defs <>
	9861	# SIRGAS 2000
	9862	<4988> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9863	# Lao 1993
	9864	<4990> +proj=geocent +ellps=krass +units=m +no_defs <>
	9865	# Lao 1997
	9866	<4992> +proj=geocent +ellps=krass +units=m +no_defs <>
	9867	# PRS92
	9868	<4994> +proj=geocent +ellps=clrk66 +units=m +no_defs <>
	9869	# MAGNA-SIRGAS
	9870	<4996> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9871	# RGPF
	9872	<4998> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9873	# PTRA08
	9874	<5011> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9875	# GDBD2009
	9876	<5244> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9877	# TUREF
	9878	<5250> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9879	# DRUKREF 03
	9880	<5262> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9881	# ISN2004
	9882	<5322> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9883	# ITRF2008
	9884	<5332> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9885	# POSGAR 2007
	9886	<5341> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9887	# MARGEN
	9888	<5352> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9889	# SIRGAS-Chile
	9890	<5358> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9891	# CR05
	9892	<5363> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9893	# MACARIO SOLIS
	9894	<5368> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9895	# Peru96
	9896	<5369> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9897	# SIRGAS-ROU98
	9898	<5379> +proj=geocent +ellps=WGS84 +units=m +no_defs <>
	9899	# SIRGAS_ES2007.8
	9900	<5391> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9901	# RGAF09
	9902	<5487> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9903	# PNG94
	9904	<5544> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9905	# UCS-2000
	9906	<5558> +proj=geocent +ellps=krass +units=m +no_defs <>
	9907	# FEH2010
	9908	<5591> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9909	# DB_REF
	9910	<5828> +proj=geocent +ellps=bessel +units=m +no_defs <>
	9911	# TGD2005
	9912	<5884> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9913	# CIGD11
	9914	<6133> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9915	# NAD83(2011)
	9916	<6317> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9917	# NAD83(PA11)
	9918	<6320> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9919	# NAD83(MA11)
	9920	<6323> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9921	# Mexico ITRF2008
	9922	<6363> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9923	# JGD2011
	9924	<6666> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9925	# RDN2008
	9926	<6704> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9927	# NAD83(CORS96)
	9928	<6781> +proj=geocent +ellps=GRS80 +units=m +no_defs <>
	9929	# KKJ / Finland Uniform Coordinate System + N60 height
	9930	<3901> +proj=tmerc +lat_0=0 +lon_0=27 +k=1 +x_0=3500000 +y_0=0 +ellps=intl +towgs84=-96.062,-82.428,-121.753,4.801,0.345,-1.376,1.496 +units=m +vunits=m +no_defs <>
	9931	# ETRS89 / TM35FIN(N,E) + N60 height
	9932	<3902> +proj=utm +zone=35 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9933	# ETRS89 / TM35FIN(N,E) + N2000 height
	9934	<3903> +proj=utm +zone=35 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9935	# ETRS89 / DKTM1 + DVR90 height
	9936	<4097> +proj=tmerc +lat_0=0 +lon_0=9 +k=0.99998 +x_0=200000 +y_0=-5000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9937	# ETRS89 / DKTM2 + DVR90 height
	9938	<4098> +proj=tmerc +lat_0=0 +lon_0=10 +k=0.99998 +x_0=400000 +y_0=-5000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9939	# ETRS89 / DKTM3 + DVR90 height
	9940	<4099> +proj=tmerc +lat_0=0 +lon_0=11.75 +k=0.99998 +x_0=600000 +y_0=-5000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9941	# ETRS89 / DKTM4 + DVR90 height
	9942	<4100> +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=800000 +y_0=-5000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9943	# ETRS89 / Faroe TM + FVR09 height
	9944	<5318> +proj=tmerc +lat_0=0 +lon_0=-7 +k=0.999997 +x_0=200000 +y_0=-6000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9945	# NAD83 + NAVD88 height
	9946	<5498> +proj=longlat +datum=NAD83 +geoidgrids=g2012a_conus.gtx,g2012a_alaska.gtx,g2012a_guam.gtx,g2012a_hawaii.gtx,g2012a_puertorico.gtx,g2012a_samoa.gtx +vunits=m +no_defs <>
	9947	# NAD83(HARN) + NAVD88 height
	9948	<5499> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +geoidgrids=g2012a_conus.gtx,g2012a_alaska.gtx,g2012a_guam.gtx,g2012a_hawaii.gtx,g2012a_puertorico.gtx,g2012a_samoa.gtx +vunits=m +no_defs <>
	9949	# NAD83(NSRS2007) + NAVD88 height
	9950	<5500> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +geoidgrids=g2012a_conus.gtx,g2012a_alaska.gtx,g2012a_guam.gtx,g2012a_hawaii.gtx,g2012a_puertorico.gtx,g2012a_samoa.gtx +vunits=m +no_defs <>
	9951	# ETRS89 / UTM zone 31N + DHHN92 height
	9952	<5554> +proj=utm +zone=31 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9953	# ETRS89 / UTM zone 32N + DHHN92 height
	9954	<5555> +proj=utm +zone=32 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9955	# ETRS89 / UTM zone 33N + DHHN92 height
	9956	<5556> +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9957	# FEH2010 / Fehmarnbelt TM + FCSVR10 height
	9958	<5598> +proj=tmerc +lat_0=0 +lon_0=11.33333333333333 +k=1 +x_0=1000000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9959	# SWEREF99 + RH2000 height
	9960	<5628> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +vunits=m +no_defs <>
	9961	# RGF93 / Lambert-93 + NGF-IGN69 height
	9962	<5698> +proj=lcc +lat_1=49 +lat_2=44 +lat_0=46.5 +lon_0=3 +x_0=700000 +y_0=6600000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9963	# RGF93 / Lambert-93 + NGF-IGN78 height
	9964	<5699> +proj=lcc +lat_1=49 +lat_2=44 +lat_0=46.5 +lon_0=3 +x_0=700000 +y_0=6600000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9965	# NTF (Paris) / Lambert zone I + NGF-IGN69 height
	9966	<5707> +proj=lcc +lat_1=49.50000000000001 +lat_0=49.50000000000001 +lon_0=0 +k_0=0.999877341 +x_0=600000 +y_0=1200000 +a=6378249.2 +b=6356515 +towgs84=-168,-60,320,0,0,0,0 +pm=paris +units=m +vunits=m +no_defs <>
	9967	# NTF (Paris) / Lambert zone IV + NGF-IGN78 height
	9968	<5708> +proj=lcc +lat_1=42.16500000000001 +lat_0=42.16500000000001 +lon_0=0 +k_0=0.99994471 +x_0=234.358 +y_0=4185861.369 +a=6378249.2 +b=6356515 +towgs84=-168,-60,320,0,0,0,0 +pm=paris +units=m +vunits=m +no_defs <>
	9969	# DB_REF / 3-degree Gauss-Kruger zone 2 (E-N) + DHHN92 height
	9970	<5832> +proj=tmerc +lat_0=0 +lon_0=6 +k=1 +x_0=2500000 +y_0=0 +ellps=bessel +units=m +vunits=m +no_defs <>
	9971	# DB_REF / 3-degree Gauss-Kruger zone 3 (E-N) + DHHN92 height
	9972	<5833> +proj=tmerc +lat_0=0 +lon_0=9 +k=1 +x_0=3500000 +y_0=0 +ellps=bessel +units=m +vunits=m +no_defs <>
	9973	# DB_REF / 3-degree Gauss-Kruger zone 4 (E-N) + DHHN92 height
	9974	<5834> +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=4500000 +y_0=0 +ellps=bessel +units=m +vunits=m +no_defs <>
	9975	# DB_REF / 3-degree Gauss-Kruger zone 5 (E-N) + DHHN92 height
	9976	<5835> +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=5500000 +y_0=0 +ellps=bessel +units=m +vunits=m +no_defs <>
	9977	# SWEREF99 TM + RH2000 height
	9978	<5845> +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9979	# SWEREF99 12 00 + RH2000 height
	9980	<5846> +proj=tmerc +lat_0=0 +lon_0=12 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9981	# SWEREF99 13 30 + RH2000 height
	9982	<5847> +proj=tmerc +lat_0=0 +lon_0=13.5 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9983	# SWEREF99 15 00 + RH2000 height
	9984	<5848> +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9985	# SWEREF99 16 30 + RH2000 height
	9986	<5849> +proj=tmerc +lat_0=0 +lon_0=16.5 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9987	# SWEREF99 18 00 + RH2000 height
	9988	<5850> +proj=tmerc +lat_0=0 +lon_0=18 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9989	# SWEREF99 14 15 + RH2000 height
	9990	<5851> +proj=tmerc +lat_0=0 +lon_0=14.25 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9991	# SWEREF99 15 45 + RH2000 height
	9992	<5852> +proj=tmerc +lat_0=0 +lon_0=15.75 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9993	# SWEREF99 17 15 + RH2000 height
	9994	<5853> +proj=tmerc +lat_0=0 +lon_0=17.25 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9995	# SWEREF99 18 45 + RH2000 height
	9996	<5854> +proj=tmerc +lat_0=0 +lon_0=18.75 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9997	# SWEREF99 20 15 + RH2000 height
	9998	<5855> +proj=tmerc +lat_0=0 +lon_0=20.25 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	9999	# SWEREF99 21 45 + RH2000 height
	10000	<5856> +proj=tmerc +lat_0=0 +lon_0=21.75 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10001	# SWEREF99 23 15 + RH2000 height
	10002	<5857> +proj=tmerc +lat_0=0 +lon_0=23.25 +k=1 +x_0=150000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10003	# ETRS89 + NN2000 height
	10004	<5942> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +vunits=m +no_defs <>
	10005	# ETRS89 / NTM zone 5 + NN2000 height
	10006	<5945> +proj=tmerc +lat_0=58 +lon_0=5.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10007	# ETRS89 / NTM zone 6 + NN2000 height
	10008	<5946> +proj=tmerc +lat_0=58 +lon_0=6.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10009	# ETRS89 / NTM zone 7 + NN2000 height
	10010	<5947> +proj=tmerc +lat_0=58 +lon_0=7.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10011	# ETRS89 / NTM zone 8 + NN2000 height
	10012	<5948> +proj=tmerc +lat_0=58 +lon_0=8.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10013	# ETRS89 / NTM zone 9 + NN2000 height
	10014	<5949> +proj=tmerc +lat_0=58 +lon_0=9.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10015	# ETRS89 / NTM zone 10 + NN2000 height
	10016	<5950> +proj=tmerc +lat_0=58 +lon_0=10.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10017	# ETRS89 / NTM zone 11 + NN2000 height
	10018	<5951> +proj=tmerc +lat_0=58 +lon_0=11.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10019	# ETRS89 / NTM zone 12 + NN2000 height
	10020	<5952> +proj=tmerc +lat_0=58 +lon_0=12.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10021	# ETRS89 / NTM zone 13 + NN2000 height
	10022	<5953> +proj=tmerc +lat_0=58 +lon_0=13.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10023	# ETRS89 / NTM zone 14 + NN2000 height
	10024	<5954> +proj=tmerc +lat_0=58 +lon_0=14.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10025	# ETRS89 / NTM zone 15 + NN2000 height
	10026	<5955> +proj=tmerc +lat_0=58 +lon_0=15.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10027	# ETRS89 / NTM zone 16 + NN2000 height
	10028	<5956> +proj=tmerc +lat_0=58 +lon_0=16.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10029	# ETRS89 / NTM zone 17 + NN2000 height
	10030	<5957> +proj=tmerc +lat_0=58 +lon_0=17.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10031	# ETRS89 / NTM zone 18 + NN2000 height
	10032	<5958> +proj=tmerc +lat_0=58 +lon_0=18.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10033	# ETRS89 / NTM zone 19 + NN2000 height
	10034	<5959> +proj=tmerc +lat_0=58 +lon_0=19.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10035	# ETRS89 / NTM zone 20 + NN2000 height
	10036	<5960> +proj=tmerc +lat_0=58 +lon_0=20.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10037	# ETRS89 / NTM zone 21 + NN2000 height
	10038	<5961> +proj=tmerc +lat_0=58 +lon_0=21.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10039	# ETRS89 / NTM zone 22 + NN2000 height
	10040	<5962> +proj=tmerc +lat_0=58 +lon_0=22.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10041	# ETRS89 / NTM zone 23 + NN2000 height
	10042	<5963> +proj=tmerc +lat_0=58 +lon_0=23.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10043	# ETRS89 / NTM zone 24 + NN2000 height
	10044	<5964> +proj=tmerc +lat_0=58 +lon_0=24.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10045	# ETRS89 / NTM zone 25 + NN2000 height
	10046	<5965> +proj=tmerc +lat_0=58 +lon_0=25.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10047	# ETRS89 / NTM zone 26 + NN2000 height
	10048	<5966> +proj=tmerc +lat_0=58 +lon_0=26.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10049	# ETRS89 / NTM zone 27 + NN2000 height
	10050	<5967> +proj=tmerc +lat_0=58 +lon_0=27.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10051	# ETRS89 / NTM zone 28 + NN2000 height
	10052	<5968> +proj=tmerc +lat_0=58 +lon_0=28.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10053	# ETRS89 / NTM zone 29 + NN2000 height
	10054	<5969> +proj=tmerc +lat_0=58 +lon_0=29.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10055	# ETRS89 / NTM zone 30 + NN2000 height
	10056	<5970> +proj=tmerc +lat_0=58 +lon_0=30.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10057	# ETRS89 / UTM zone 31 + NN2000 height
	10058	<5971> +proj=utm +zone=31 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10059	# ETRS89 / UTM zone 32 + NN2000 height
	10060	<5972> +proj=utm +zone=32 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10061	# ETRS89 / UTM zone 33 + NN2000 height
	10062	<5973> +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10063	# ETRS89 / UTM zone 34 + NN2000 height
	10064	<5974> +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10065	# ETRS89 / UTM zone 35 + NN2000 height
	10066	<5975> +proj=utm +zone=35 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10067	# ETRS89 / UTM zone 36 + NN2000 height
	10068	<5976> +proj=utm +zone=36 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10069	# ETRS89 + NN54 height
	10070	<6144> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +vunits=m +no_defs <>
	10071	# ETRS89 / NTM zone 5 + NN54 height
	10072	<6145> +proj=tmerc +lat_0=58 +lon_0=5.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10073	# ETRS89 / NTM zone 6 + NN54 height
	10074	<6146> +proj=tmerc +lat_0=58 +lon_0=6.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10075	# ETRS89 / NTM zone 7 + NN54 height
	10076	<6147> +proj=tmerc +lat_0=58 +lon_0=7.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10077	# ETRS89 / NTM zone 8 + NN54 height
	10078	<6148> +proj=tmerc +lat_0=58 +lon_0=8.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10079	# ETRS89 / NTM zone 9 + NN54 height
	10080	<6149> +proj=tmerc +lat_0=58 +lon_0=9.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10081	# ETRS89 / NTM zone 10 + NN54 height
	10082	<6150> +proj=tmerc +lat_0=58 +lon_0=10.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10083	# ETRS89 / NTM zone 11 + NN54 height
	10084	<6151> +proj=tmerc +lat_0=58 +lon_0=11.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10085	# ETRS89 / NTM zone 12 + NN54 height
	10086	<6152> +proj=tmerc +lat_0=58 +lon_0=12.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10087	# ETRS89 / NTM zone 13 + NN54 height
	10088	<6153> +proj=tmerc +lat_0=58 +lon_0=13.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10089	# ETRS89 / NTM zone 14 + NN54 height
	10090	<6154> +proj=tmerc +lat_0=58 +lon_0=14.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10091	# ETRS89 / NTM zone 15 + NN54 height
	10092	<6155> +proj=tmerc +lat_0=58 +lon_0=15.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10093	# ETRS89 / NTM zone 16 + NN54 height
	10094	<6156> +proj=tmerc +lat_0=58 +lon_0=16.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10095	# ETRS89 / NTM zone 17 + NN54 height
	10096	<6157> +proj=tmerc +lat_0=58 +lon_0=17.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10097	# ETRS89 / NTM zone 18 + NN54 height
	10098	<6158> +proj=tmerc +lat_0=58 +lon_0=18.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10099	# ETRS89 / NTM zone 19 + NN54 height
	10100	<6159> +proj=tmerc +lat_0=58 +lon_0=19.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10101	# ETRS89 / NTM zone 20 + NN54 height
	10102	<6160> +proj=tmerc +lat_0=58 +lon_0=20.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10103	# ETRS89 / NTM zone 21 + NN54 height
	10104	<6161> +proj=tmerc +lat_0=58 +lon_0=21.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10105	# ETRS89 / NTM zone 22 + NN54 height
	10106	<6162> +proj=tmerc +lat_0=58 +lon_0=22.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10107	# ETRS89 / NTM zone 23 + NN54 height
	10108	<6163> +proj=tmerc +lat_0=58 +lon_0=23.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10109	# ETRS89 / NTM zone 24 + NN54 height
	10110	<6164> +proj=tmerc +lat_0=58 +lon_0=24.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10111	# ETRS89 / NTM zone 25 + NN54 height
	10112	<6165> +proj=tmerc +lat_0=58 +lon_0=25.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10113	# ETRS89 / NTM zone 26 + NN54 height
	10114	<6166> +proj=tmerc +lat_0=58 +lon_0=26.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10115	# ETRS89 / NTM zone 27 + NN54 height
	10116	<6167> +proj=tmerc +lat_0=58 +lon_0=27.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10117	# ETRS89 / NTM zone 28 + NN54 height
	10118	<6168> +proj=tmerc +lat_0=58 +lon_0=28.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10119	# ETRS89 / NTM zone 29 + NN54 height
	10120	<6169> +proj=tmerc +lat_0=58 +lon_0=29.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10121	# ETRS89 / NTM zone 30 + NN54 height
	10122	<6170> +proj=tmerc +lat_0=58 +lon_0=30.5 +k=1 +x_0=100000 +y_0=1000000 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10123	# ETRS89 / UTM zone 31 + NN54 height
	10124	<6171> +proj=utm +zone=31 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10125	# ETRS89 / UTM zone 32 + NN54 height
	10126	<6172> +proj=utm +zone=32 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10127	# ETRS89 / UTM zone 33 + NN54 height
	10128	<6173> +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10129	# ETRS89 / UTM zone 34 + NN54 height
	10130	<6174> +proj=utm +zone=34 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10131	# ETRS89 / UTM zone 35 + NN54 height
	10132	<6175> +proj=utm +zone=35 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10133	# ETRS89 / UTM zone 36 + NN54 height
	10134	<6176> +proj=utm +zone=36 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10135	# Belge 1972 / Belgian Lambert 72 + Ostend height
	10136	<6190> +proj=lcc +lat_1=51.16666723333333 +lat_2=49.8333339 +lat_0=90 +lon_0=4.367486666666666 +x_0=150000.013 +y_0=5400088.438 +ellps=intl +towgs84=-106.869,52.2978,-103.724,0.3366,-0.457,1.8422,-1.2747 +units=m +vunits=m +no_defs <>
	10137	# NAD83(2011) + NAVD88 height
	10138	<6349> +proj=longlat +ellps=GRS80 +geoidgrids=g2012a_conus.gtx,g2012a_alaska.gtx,g2012a_guam.gtx,g2012a_hawaii.gtx,g2012a_puertorico.gtx,g2012a_samoa.gtx +vunits=m +no_defs <>
	10139	# NAD83(CSRS) + CGVD2013 height
	10140	<6649> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +vunits=m +no_defs <>
	10141	# NAD83(CSRS) / UTM zone 7N + CGVD2013 height
	10142	<6650> +proj=utm +zone=7 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10143	# NAD83(CSRS) / UTM zone 8N + CGVD2013 height
	10144	<6651> +proj=utm +zone=8 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10145	# NAD83(CSRS) / UTM zone 9N + CGVD2013 height
	10146	<6652> +proj=utm +zone=9 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10147	# NAD83(CSRS) / UTM zone 10N + CGVD2013 height
	10148	<6653> +proj=utm +zone=10 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10149	# NAD83(CSRS) / UTM zone 11N + CGVD2013 height
	10150	<6654> +proj=utm +zone=11 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10151	# NAD83(CSRS) / UTM zone 12N + CGVD2013 height
	10152	<6655> +proj=utm +zone=12 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10153	# NAD83(CSRS) / UTM zone 13N + CGVD2013 height
	10154	<6656> +proj=utm +zone=13 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10155	# NAD83(CSRS) / UTM zone 14N + CGVD2013 height
	10156	<6657> +proj=utm +zone=14 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10157	# NAD83(CSRS) / UTM zone 15N + CGVD2013 height
	10158	<6658> +proj=utm +zone=15 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10159	# NAD83(CSRS) / UTM zone 16N + CGVD2013 height
	10160	<6659> +proj=utm +zone=16 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10161	# NAD83(CSRS) / UTM zone 17N + CGVD2013 height
	10162	<6660> +proj=utm +zone=17 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10163	# NAD83(CSRS) / UTM zone 18N + CGVD2013 height
	10164	<6661> +proj=utm +zone=18 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10165	# NAD83(CSRS) / UTM zone 19N + CGVD2013 height
	10166	<6662> +proj=utm +zone=19 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10167	# NAD83(CSRS) / UTM zone 20N + CGVD2013 height
	10168	<6663> +proj=utm +zone=20 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10169	# NAD83(CSRS) / UTM zone 21N + CGVD2013 height
	10170	<6664> +proj=utm +zone=21 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10171	# NAD83(CSRS) / UTM zone 22N + CGVD2013 height
	10172	<6665> +proj=utm +zone=22 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10173	# JGD2000 + JGD2000 (vertical) height
	10174	<6696> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +vunits=m +no_defs <>
	10175	# JGD2011 + JGD2011 (vertical) height
	10176	<6697> +proj=longlat +ellps=GRS80 +vunits=m +no_defs <>
	10177	# Tokyo + JSLD72 height
	10178	<6700> +proj=longlat +ellps=bessel +towgs84=-146.414,507.337,680.507,0,0,0,0 +vunits=m +no_defs <>
	10179	# WGS 84 / Pseudo-Mercator + EGM2008 geoid height
	10180	<6871> +proj=merc +lon_0=0 +k=1 +x_0=0 +y_0=0 +datum=WGS84 +units=m +geoidgrids=egm08_25.gtx +vunits=m +no_defs <>
	10181	# NTF (Paris) + NGF IGN69 height
	10182	<7400> +proj=longlat +a=6378249.2 +b=6356515 +towgs84=-168,-60,320,0,0,0,0 +pm=paris +vunits=m +no_defs <>
	10183	# NTF (Paris) / France II + NGF Lallemand
	10184	<7401> +proj=lcc +lat_1=46.8 +lat_0=46.8 +lon_0=0 +k_0=0.99987742 +x_0=600000 +y_0=2200000 +a=6378249.2 +b=6356515 +towgs84=-168,-60,320,0,0,0,0 +pm=paris +units=m +vunits=m +no_defs <>
	10185	# NTF (Paris) / France II + NGF IGN69
	10186	<7402> +proj=lcc +lat_1=46.8 +lat_0=46.8 +lon_0=0 +k_0=0.99987742 +x_0=600000 +y_0=2200000 +a=6378249.2 +b=6356515 +towgs84=-168,-60,320,0,0,0,0 +pm=paris +units=m +vunits=m +no_defs <>
	10187	# NTF (Paris) / France III + NGF IGN69
	10188	<7403> +proj=lcc +lat_1=44.10000000000001 +lat_0=44.10000000000001 +lon_0=0 +k_0=0.999877499 +x_0=600000 +y_0=3200000 +a=6378249.2 +b=6356515 +towgs84=-168,-60,320,0,0,0,0 +pm=paris +units=m +vunits=m +no_defs <>
	10189	# RT90 + RH70 height
	10190	<7404> +proj=longlat +ellps=bessel +towgs84=414.1,41.3,603.1,-0.855,2.141,-7.023,0 +vunits=m +no_defs <>
	10191	# OSGB 1936 / British National Grid + ODN height
	10192	<7405> +proj=tmerc +lat_0=49 +lon_0=-2 +k=0.9996012717 +x_0=400000 +y_0=-100000 +datum=OSGB36 +units=m +vunits=m +no_defs <>
	10193	# NAD27 + NGVD29 height
	10194	<7406> +proj=longlat +datum=NAD27 +vunits=us-ft +no_defs <>
	10195	# NAD27 / Texas North + NGVD29 height
	10196	<7407> +proj=lcc +lat_1=34.65 +lat_2=36.18333333333333 +lat_0=34 +lon_0=-101.5 +x_0=609601.2192024384 +y_0=0 +datum=NAD27 +units=us-ft +vunits=us-ft +no_defs <>
	10197	# RD/NAP
	10198	<7408> +proj=longlat +ellps=bessel +towgs84=565.417,50.3319,465.552,-0.398957,0.343988,-1.8774,4.0725 +vunits=m +no_defs <>
	10199	# ETRS89 + EVRF2000 height
	10200	<7409> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +vunits=m +no_defs <>
	10201	# PSHD93
	10202	<7410> +proj=longlat +ellps=clrk80 +towgs84=-180.624,-225.516,173.919,-0.81,-1.898,8.336,16.7101 +vunits=m +no_defs <>
	10203	# NTF (Paris) / Lambert zone II + NGF Lallemand height
	10204	<7411> +proj=lcc +lat_1=46.8 +lat_0=46.8 +lon_0=0 +k_0=0.99987742 +x_0=600000 +y_0=2200000 +a=6378249.2 +b=6356515 +towgs84=-168,-60,320,0,0,0,0 +pm=paris +units=m +vunits=m +no_defs <>
	10205	# NTF (Paris) / Lambert zone II + NGF IGN69
	10206	<7412> +proj=lcc +lat_1=46.8 +lat_0=46.8 +lon_0=0 +k_0=0.99987742 +x_0=600000 +y_0=2200000 +a=6378249.2 +b=6356515 +towgs84=-168,-60,320,0,0,0,0 +pm=paris +units=m +vunits=m +no_defs <>
	10207	# NTF (Paris) / Lambert zone III + NGF IGN69
	10208	<7413> +proj=lcc +lat_1=44.10000000000001 +lat_0=44.10000000000001 +lon_0=0 +k_0=0.999877499 +x_0=600000 +y_0=3200000 +a=6378249.2 +b=6356515 +towgs84=-168,-60,320,0,0,0,0 +pm=paris +units=m +vunits=m +no_defs <>
	10209	# Tokyo + JSLD69 height
	10210	<7414> +proj=longlat +ellps=bessel +towgs84=-146.414,507.337,680.507,0,0,0,0 +vunits=m +no_defs <>
	10211	# Amersfoort / RD New + NAP height
	10212	<7415> +proj=sterea +lat_0=52.15616055555555 +lon_0=5.38763888888889 +k=0.9999079 +x_0=155000 +y_0=463000 +ellps=bessel +towgs84=565.417,50.3319,465.552,-0.398957,0.343988,-1.8774,4.0725 +units=m +vunits=m +no_defs <>
	10213	# ETRS89 / UTM zone 32N + DVR90 height
	10214	<7416> +proj=utm +zone=32 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10215	# ETRS89 / UTM zone 33N + DVR90 height
	10216	<7417> +proj=utm +zone=33 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10217	# ETRS89 / Kp2000 Jutland + DVR90 height
	10218	<7418> +proj=tmerc +lat_0=0 +lon_0=9.5 +k=0.99995 +x_0=200000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10219	# ETRS89 / Kp2000 Zealand + DVR90 height
	10220	<7419> +proj=tmerc +lat_0=0 +lon_0=12 +k=0.99995 +x_0=500000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10221	# ETRS89 / Kp2000 Bornholm + DVR90 height
	10222	<7420> +proj=tmerc +lat_0=0 +lon_0=15 +k=1 +x_0=900000 +y_0=0 +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +units=m +vunits=m +no_defs <>
	10223	# NTF (Paris) / Lambert zone II + NGF-IGN69 height
	10224	<7421> +proj=lcc +lat_1=46.8 +lat_0=46.8 +lon_0=0 +k_0=0.99987742 +x_0=600000 +y_0=2200000 +a=6378249.2 +b=6356515 +towgs84=-168,-60,320,0,0,0,0 +pm=paris +units=m +vunits=m +no_defs <>
	10225	# NTF (Paris) / Lambert zone III + NGF-IGN69 height
	10226	<7422> +proj=lcc +lat_1=44.10000000000001 +lat_0=44.10000000000001 +lon_0=0 +k_0=0.999877499 +x_0=600000 +y_0=3200000 +a=6378249.2 +b=6356515 +towgs84=-168,-60,320,0,0,0,0 +pm=paris +units=m +vunits=m +no_defs <>
	10227	# ETRS89 + EVRF2007 height
	10228	<7423> +proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +vunits=m +no_defs <>

-6

lib/pyproj/data/ntv2_out.dist less more

0	0	##############################################################
1	1	Point in the ONwinsor subgrid.
2		82d00'00.000"W 42d00'00.000"N 0.0 81d59'59.61037"W 42d0'0.1602"N 0.000
3		82d00'01.000"W 42d00'00.000"N 0.0 82d0'0.610403"W 42d0'0.160204"N 0.000
4		82d00'02.000"W 42d00'00.000"N 0.0 82d0'1.610436"W 42d0'0.160209"N 0.000
5		84d00'00.000"W 42d00'00.000"N 0.0 83d59'59.85928"W 42d0'0.18003"N 0.000
	2	82d00'00.000"W 42d00'00.000"N 0.0 81d59'59.6104"W 42d0'0.1602"N 0.000
	3	82d00'01.000"W 42d00'00.000"N 0.0 82d0'0.6104"W 42d0'0.1602"N 0.000
	4	82d00'02.000"W 42d00'00.000"N 0.0 82d0'1.6104"W 42d0'0.1602"N 0.000
	5	84d00'00.000"W 42d00'00.000"N 0.0 83d59'59.8593"W 42d0'0.18"N 0.000
6	6	##############################################################
7	7	Try with NTv2 and NTv1 together ... falls back to NTv1
8		99d00'00.000"W 65d00'00.000"N 0.0 99d0'1.58847"W 65d0'1.34815"N 0.000
9		111d00'00.000"W 46d00'00.000"N 0.0 111d0'3.15487"W 45d59'59.75279"N 0.000
	8	99d00'00.000"W 65d00'00.000"N 0.0 99d0'1.5885"W 65d0'1.3482"N 0.000
	9	111d00'00.000"W 46d00'00.000"N 0.0 111d0'3.1549"W 45d59'59.7528"N 0.000
10	10	111d00'00.000"W 47d30'00.000"N 0.0 111d0'2.7989"W 47d29'59.9896"N 0.000

-2

lib/pyproj/data/testntv2 less more

34	34	echo Point in the ONwinsor subgrid. >> ${OUT}
35	35	#
36	36	$EXE +proj=latlong +ellps=clrk66 +nadgrids=ntv2_0.gsb \
37		+to +proj=latlong +datum=NAD83 -E -w6 >>${OUT} <<EOF
	37	+to +proj=latlong +datum=NAD83 -E -w4 >>${OUT} <<EOF
38	38	82d00'00.000"W 42d00'00.000"N 0.0
39	39	82d00'01.000"W 42d00'00.000"N 0.0
40	40	82d00'02.000"W 42d00'00.000"N 0.0

45	45	echo Try with NTv2 and NTv1 together ... falls back to NTv1 >> ${OUT}
46	46	#
47	47	$EXE +proj=latlong +ellps=clrk66 +nadgrids=ntv2_0.gsb,ntv1_can.dat,conus \
48		+to +proj=latlong +datum=NAD83 -E -w6 >>${OUT} <<EOF
	48	+to +proj=latlong +datum=NAD83 -E -w4 >>${OUT} <<EOF
49	49	99d00'00.000"W 65d00'00.000"N 0.0
50	50	111d00'00.000"W 46d00'00.000"N 0.0
51	51	111d00'00.000"W 47d30'00.000"N 0.0

+342

-60

lib/pyproj/data/testvarious less more

6	6
7	7	usage()
8	8	{
9		echo "Usage: ${0} <path to 'cs2cs' program>"
	9	echo "Usage: ${0} <path to 'cs2cs' program>"
10	10	echo
11	11	exit 1
12	12	}

130	130	#echo "#############################################################" >> ${OUT}
131	131	#echo Test conversion between geocentric latlong and geodetic latlong >> ${OUT}
132	132	#
133		# The +geoc flag does not currently work with pj_transform() so this is
134		# disabled.
	133	# The +geoc flag does not currently work with pj_transform() so this is
	134	# disabled.
135	135	#
136	136	#$EXE +proj=latlong +datum=WGS84 +geoc \
137	137	# +to +proj=latlong +datum=WGS84 \

191	191	+to +proj=latlong +datum=WGS84 \
192	192	-E >>${OUT} <<EOF
193	193	10000 20000
194		500000 2000000
195		1000000 2000000
196		2000000 2000000
197		4000000 2000000
	194	500000 2000000
	195	1000000 2000000
	196	2000000 2000000
	197	4000000 2000000
198	198	EOF
199	199	#
200	200	echo "##############################################################" >> ${OUT}

204	204	+to +proj=etmerc +k=0.998 +lon_0=-20 +datum=WGS84 +x_0=10000 +y_0=20000 \
205	205	-E >>${OUT} <<EOF
206	206	0dN 0.000
207		15d22'16.108"W 17d52'53.478"N 0.000
208		10d40'55.532"W 17d42'48.526"N 0.000
209		1d32'21.33"W 17d3'47.233"N 0.000
210		15d4'42.357"E 14d48'56.372"N 0.000
	207	15d22'16.108"W 17d52'53.478"N 0.000
	208	10d40'55.532"W 17d42'48.526"N 0.000
	209	1d32'21.33"W 17d3'47.233"N 0.000
	210	15d4'42.357"E 14d48'56.372"N 0.000
211	211	EOF
212	212	#
213	213	echo "##############################################################" >> ${OUT}

217	217	+to +proj=latlong +datum=WGS84 \
218	218	-E >>${OUT} <<EOF
219	219	10000 20000
220		500000 2000000
221		1000000 2000000
222		2000000 2000000
223		4000000 2000000
	220	500000 2000000
	221	1000000 2000000
	222	2000000 2000000
	223	4000000 2000000
224	224	EOF
225	225	#
226	226	echo "##############################################################" >> ${OUT}

230	230	+to +proj=tmerc +k=0.998 +lon_0=-20 +datum=WGS84 +x_0=10000 +y_0=20000 \
231	231	-E >>${OUT} <<EOF
232	232	0dN 0.000
233		15d22'16.108"W 17d52'53.478"N 0.000
234		10d40'55.532"W 17d42'48.526"N 0.000
235		1d32'21.33"W 17d3'47.233"N 0.000
236		15d4'42.357"E 14d48'56.372"N 0.000
	233	15d22'16.108"W 17d52'53.478"N 0.000
	234	10d40'55.532"W 17d42'48.526"N 0.000
	235	1d32'21.33"W 17d3'47.233"N 0.000
	236	15d4'42.357"E 14d48'56.372"N 0.000
237	237	EOF
238	238	#
239	239	echo "##############################################################" >> ${OUT}

242	242	$EXE +proj=latlong +datum=WGS84 \
243	243	+to +proj=robin +datum=WGS84 \
244	244	-E >>${OUT} <<EOF
245		-30 40
	245	-30 40
246	246	-35 45
247		EOF
248		echo "##############################################################" >> ${OUT}
249		echo "Test forward projection on sphere" >> ${OUT}
	247	20 40
	248	EOF
	249	$EXE +proj=robin +datum=WGS84 \
	250	+to +proj=latlong +datum=WGS84 \
	251	-E >>${OUT} <<EOF
	252	-2612095.95 4276351.58 0.00
	253	-2963455.42 4805073.65 0.00
	254	1741397.30 4276351.58 0.00
	255	EOF
	256	echo "##############################################################" >> ${OUT}
	257	echo "Test healpix forward projection on sphere" >> ${OUT}
250	258	$EXE +proj=latlong +a=1 +lon_0=0 \
251	259	+to +proj=healpix +a=1 +lon_0=0 -f '%.'5'f' \
252	260	-E >>${OUT} <<EOF
253	261	0 41.81031
254	262	-90 0
255	263	EOF
256		echo "Test inverse projection on sphere" >> ${OUT}
	264	$EXE +proj=latlong +R=5 \
	265	+to +proj=healpix +R=5 -f '%.'5'f' \
	266	-E >>${OUT} <<EOF
	267	0 0
	268	0 41.810314895778596
	269	0 -41.810314895778596
	270	90.0 0
	271	-90.0 0
	272	-180 0
	273	-180 90.0
	274	-180 -90.0
	275	0 60.0
	276	0 -60.0
	277	EOF
	278	echo "Test healpix inverse projection on sphere" >> ${OUT}
257	279	$EXE +proj=latlong +a=1 +lon_0=0 \
258	280	+to +proj=healpix +a=1 +lon_0=0 -f '%.'5'f' -I\
259	281	-E >>${OUT} <<EOF
260	282	0 0.7853981633974483
261	283	-1.5707963267948966 0
262	284	EOF
263		echo "Test forward projection on ellipsoid" >> ${OUT}
	285	$EXE +proj=latlong +a=5 \
	286	+to +proj=healpix +a=5 -f '%.'5'f' -I\
	287	-E >>${OUT} <<EOF
	288	0.0 0.0
	289	0.0 3.9269908169872414
	290	0.0 -3.9269908169872414
	291	7.853981633974483 0.0
	292	-7.853981633974483 0.0
	293	-15.707963267948966 0.0
	294	-11.780972450961723 7.853981633974483
	295	-11.780972450961723 -7.853981633974483
	296	1.437378399445537 5.364369216432778
	297	1.437378399445537 -5.364369216432778
	298	EOF
	299	echo "Test healpix forward projection on ellipsoid" >> ${OUT}
264	300	$EXE +proj=latlong +a=1 +lon_0=0 +ellps=WGS84 \
265	301	+to +proj=healpix +a=1 +lon_0=0 +ellps=WGS84 -f '%.'5'f' \
266	302	-E >>${OUT} <<EOF
267	303	0 41.937853904844985
268	304	-90 0
269	305	EOF
270		echo "Test inverse projection on ellipsoid" >> ${OUT}
	306	$EXE +proj=latlong +a=5 +e=0.8 +r_a=4.3220011711888882\
	307	+to +proj=healpix +a=5 +e=0.8 +r_a=4.3220011711888882 -f '%.'5'f' \
	308	-E >>${OUT} <<EOF
	309	0 0
	310	0 41.810314895778596
	311	0 -41.810314895778596
	312	90.0 0
	313	-90.0 0
	314	-180 0
	315	-180 90.0
	316	-180 -90.0
	317	0 60.0
	318	0 -60.0
	319	EOF
	320	echo "Test healpix inverse projection on ellipsoid" >> ${OUT}
271	321	$EXE +proj=latlong +a=1 +lon_0=0 +ellps=WGS84 \
272	322	+to +proj=healpix +a=1 +lon_0=0 +ellps=WGS84 -f '%.'5'f' -I\
273	323	-E >>${OUT} <<EOF
274	324	0 0.7853981633974483
275	325	-1.5707963267948966 0
276	326	EOF
277		echo "##############################################################" >> ${OUT}
278		echo "Test forward projection on sphere" >> ${OUT}
279		$EXE +proj=latlong +a=1 +lon_0=0 \
280		+to +proj=rhealpix +a=1 +lon_0=0 +npole=0 +spole=0 -f '%.'5'f' \
281		-E >>${OUT} <<EOF
282		0 41.81031
283		-90 0
284		EOF
285		echo "Test inverse projection on sphere" >> ${OUT}
286		$EXE +proj=latlong +a=1 +lon_0=0 \
287		+to +proj=rhealpix +a=1 +lon_0=0 +npole=0 +spole=0 -f '%.'5'f' -I\
288		-E >>${OUT} <<EOF
289		0 0.7853981633974483
290		-1.5707963267948966 0
291		EOF
292		echo "Test forward projection on ellipsoid" >> ${OUT}
293		$EXE +proj=latlong +a=1 +lon_0=0 +ellps=WGS84 \
294		+to +proj=rhealpix +a=1 +lon_0=0 +ellps=WGS84 +npole=0 +spole=0 -f '%.'5'f' \
295		-E >>${OUT} <<EOF
296		0 41.937853904844985
297		-90 0
298		EOF
299		echo "Test inverse projection on ellipsoid" >> ${OUT}
300		$EXE +proj=latlong +a=1 +lon_0=0 +ellps=WGS84 \
301		+to +proj=rhealpix +a=1 +lon_0=0 -I +ellps=WGS84 +npole=0 +spole=0 -f '%.'5'f'\
302		-E >>${OUT} <<EOF
303		0 0.7853981633974483
304		-1.5707963267948966 0
305		EOF
	327	$EXE +proj=latlong +a=5 +e=0.8 +r_a=4.3220011711888882\
	328	+to +proj=healpix +a=5 +e=0.8 +r_a=4.3220011711888882 -f '%.'5'f' -I\
	329	-E >>${OUT} <<EOF
	330	0.0 0.0
	331	0.0 2.0547874222147415
	332	0.0 -2.0547874222147415
	333	6.788983564106746 0.0
	334	-6.788983564106746 0.0
	335	-13.577967128213492 0.0
	336	-10.183475346160119 6.788983564106746
	337	-10.183475346160119 -6.788983564106746
	338	0.0 3.351278550178025
	339	0.0 -3.351278550178025
	340	EOF
	341
	342	echo "##############################################################" >> ${OUT}
	343	echo "Test rHEALPix forward projection on sphere north=0 south=0" >> ${OUT}
	344	$EXE +proj=latlong +R=5 \
	345	+to +proj=rhealpix +R=5 +north_square=0 +south_square=0 -f '%.'5'f' \
	346	-E >>${OUT} <<EOF
	347	-180 30.0
	348	-180 -25.714285714285715
	349	0 0
	350	60.0 41.809314895778598
	351	EOF
	352
	353	echo "##############################################################" >> ${OUT}
	354	echo "Test rHEALPix forward projection on sphere north=1 south=1" >> ${OUT}
	355	$EXE +proj=latlong +R=5 \
	356	+to +proj=rhealpix +R=5 +north_square=1 +south_square=1 -f '%.'5'f' \
	357	-E >>${OUT} <<EOF
	358	-180 30.0
	359	-180 -25.714285714285715
	360	0 0
	361	60.0 41.809314895778598
	362	EOF
	363
	364	echo "##############################################################" >> ${OUT}
	365	echo "Test rHEALPix inverse projection on sphere north=0 south=0" >> ${OUT}
	366	$EXE +proj=latlong +R=5 \
	367	+to +proj=rhealpix +R=5 +north_square=0 +south_square=0 -f '%.'5'f' -I\
	368	-E >>${OUT} <<EOF
	369	0.0 0.0
	370	0.0 3.9269908169872414
	371	0.0 -3.9269908169872414
	372	7.853981633974483 0.0
	373	-7.853981633974483 0.0
	374	EOF
	375
	376	echo "##############################################################" >> ${OUT}
	377	echo "Test rHEALPix inverse projection on sphere north=1 south=1" >> ${OUT}
	378	$EXE +proj=latlong +R=5 \
	379	+to +proj=rhealpix +R=5 +north_square=1 +south_square=1 -f '%.'5'f' -I\
	380	-E >>${OUT} <<EOF
	381	0.0 0.0
	382	0.0 3.9269908169872414
	383	0.0 -3.9269908169872414
	384	7.853981633974483 0.0
	385	-7.853981633974483 0.0
	386	EOF
	387
	388	echo "##############################################################" >> ${OUT}
	389	echo "Test rHEALPix forward projection on ellipsoid north=0 south=0" >> ${OUT}
	390	$EXE +proj=latlong +a=5 +e=0.8 +r_a=4.3220011711888882\
	391	+to +proj=rhealpix +a=5 +e=0.8 +r_a=4.3220011711888882 +north_square=0 +south_square=0 -f '%.'5'f' \
	392	-E >>${OUT} <<EOF
	393	0 0
	394	0 41.810314895778596
	395	0 -41.810314895778596
	396	90.0 0
	397	-90.0 0
	398	EOF
	399
	400	echo "##############################################################" >> ${OUT}
	401	echo "Test rHEALPix forward projection on ellipsoid north=1 south=1" >> ${OUT}
	402	$EXE +proj=latlong +a=5 +e=0.8 +r_a=4.3220011711888882\
	403	+to +proj=rhealpix +a=5 +e=0.8 +r_a=4.3220011711888882 +north_square=1 +south_square=1 -f '%.'5'f' \
	404	-E >>${OUT} <<EOF
	405	0 0
	406	0 41.810314895778596
	407	0 -41.810314895778596
	408	90.0 0
	409	-90.0 0
	410	EOF
	411
	412	echo "##############################################################" >> ${OUT}
	413	echo "Test rHEALPix inverse projection on ellipsoid north=0 south=0" >> ${OUT}
	414	$EXE +proj=latlong +a=5 +e=0.8 +r_a=4.3220011711888882\
	415	+to +proj=rhealpix +a=5 -I +e=0.8 +r_a=4.3220011711888882 +north_square=0 +south_square=0 -f '%.'5'f'\
	416	-E >>${OUT} <<EOF
	417	0.0 0.0
	418	0.0 2.0547874222147415
	419	0.0 -2.0547874222147415
	420	6.788983564106746 0.0
	421	-6.788983564106746 0.0
	422	EOF
	423
	424	echo "##############################################################" >> ${OUT}
	425	echo "Test rHEALPix inverse projection on ellipsoid north=1 south=1" >> ${OUT}
	426	$EXE +proj=latlong +a=5 +e=0.8 +r_a=4.3220011711888882\
	427	+to +proj=rhealpix +a=5 -I +e=0.8 +r_a=4.3220011711888882 +north_square=1 +south_square=1 -f '%.'5'f'\
	428	-E >>${OUT} <<EOF
	429	0.0 0.0
	430	0.0 2.0547874222147415
	431	0.0 -2.0547874222147415
	432	6.788983564106746 0.0
	433	-6.788983564106746 0.0
	434	EOF
	435
306	436	echo "##############################################################" >> ${OUT}
307	437	echo "Test geos projection" >> ${OUT}
308	438	echo "Test geos on a sphere" >> ${OUT}

339	469	EOF
340	470	echo "Test geos on a sphere with alternate sweep" >> ${OUT}
341	471	$EXE +proj=latlong +ellps=sphere \
342		+to +proj=geos +h=35785831.0 +lon_0=0 +ellps=sphere +sweep=y -E >>${OUT} <<EOF
	472	+to +proj=geos +h=35785831.0 +lon_0=0 +ellps=sphere +sweep=x -E >>${OUT} <<EOF
343	473	16d11'8" 58d35'31"
344	474	-43d11'47" -22d54'30"
345	475	18d25'26" -33d55'31"

347	477	EOF
348	478	echo "Test geos on a ellipsoid with alternate sweep" >> ${OUT}
349	479	$EXE +proj=latlong +ellps=sphere \
350		+to +proj=geos +h=35785831.0 +lon_0=0 +ellps=WGS84 +sweep=y -E >>${OUT} <<EOF
	480	+to +proj=geos +h=35785831.0 +lon_0=0 +ellps=WGS84 +sweep=x -E >>${OUT} <<EOF
351	481	16d11'8" 58d35'31"
352	482	-43d11'47" -22d54'30"
353	483	18d25'26" -33d55'31"

355	485	EOF
356	486	echo "Test inv geos on a sphere with alternate sweep" >> ${OUT}
357	487	$EXE +proj=latlong +ellps=sphere \
358		+to +proj=geos +h=35785831.0 +lon_0=0 +ellps=sphere +sweep=y -I -E >>${OUT} <<EOF
	488	+to +proj=geos +h=35785831.0 +lon_0=0 +ellps=sphere +sweep=x -I -E >>${OUT} <<EOF
359	489	841586.28 4961396.21
360	490	-3772913.22 -2339604.71
361	491	1601377.77 -3415545.15

363	493	EOF
364	494	echo "Test inv geos on a ellipsoid with alternate sweep" >> ${OUT}
365	495	$EXE +proj=latlong +ellps=sphere \
366		+to +proj=geos +h=35785831.0 +lon_0=0 +ellps=WGS84 +sweep=y -I -E >>${OUT} <<EOF
	496	+to +proj=geos +h=35785831.0 +lon_0=0 +ellps=WGS84 +sweep=x -I -E >>${OUT} <<EOF
367	497	844731.03 4946509.59
368	498	-3779077.27 -2327750.87
369	499	1605067.15 -3400461.47

414	544	-E >>${OUT} <<EOF
415	545	-2240096.40 -6940342.15
416	546	EOF
	547	echo "##############################################################" >> ${OUT}
	548	echo "Test laea" >> ${OUT}
	549	#
	550	$EXE -f '%.12f' \
	551	+proj=laea +lat_0=45 +lon_0=-100 +units=m +datum=WGS84 +no_defs \
	552	+to +proj=latlong +datum=WGS84 \
	553	-E >>${OUT} <<EOF
	554	-6086629.0 4488761.0
	555	EOF
	556	echo "##############################################################" >> ${OUT}
	557	echo "Test forward calcofi projection" >> ${OUT}
	558	$EXE +proj=latlong +ellps=clrk66 \
	559	+to +proj=calcofi +ellps=clrk66 \
	560	-E >>${OUT} <<EOF
	561	120d40'42.273"W 38d56'50.766"N
	562	121d9'W 34d9'N
	563	123d59'56.066"W 30d25'4.617"N
	564	EOF
	565	echo "Test inverse calcofi projection" >> ${OUT}
	566	$EXE +proj=calcofi +ellps=clrk66 \
	567	+to +proj=longlat +ellps=clrk66 \
	568	-E >>${OUT} <<EOF
	569	60 20
	570	80 60
	571	90 120
	572	EOF
	573	echo "##############################################################" >> ${OUT}
	574	echo "Check inverse error handling with ob_tran (#225)" >> ${OUT}
	575	$EXE +proj=ob_tran \
	576	+o_proj=moll +o_lon_p=LON_POLE +o_lat_p=LAT_POLE +lon_0=180 +ellps=WGS84 \
	577	-E >>${OUT} <<EOF
	578	300000 400000
	579	20000000 30000000
	580	EOF
	581	echo "Test inverse handling" >> ${OUT}
	582	$EXE -I +proj=ob_tran \
	583	+o_proj=moll +o_lon_p=LON_POLE +o_lat_p=LAT_POLE +lon_0=180 +ellps=WGS84 \
	584	-E >>${OUT} <<EOF
	585	10 20
	586	EOF
	587	echo "##############################################################" >> ${OUT}
	588	echo "Test MGI datum gives expected results (#207)" >> ${OUT}
	589	#
	590	$EXE -f '%.14f' \
	591	+proj=latlong +datum=WGS84 \
	592	+to +init=epsg:31284 \
	593	-E >>${OUT} <<EOF
	594	16.33 48.20
	595	EOF
	596	echo "##############################################################" >> ${OUT}
	597	echo "Test omerc sensitivity with locations 90d from origin(#114)" >> ${OUT}
	598	#
	599	$EXE -f '%.14f' \
	600	+proj=latlong +ellps=WGS84 \
	601	+to +proj=omerc +ellps=WGS84 +lon_1=62.581150 +lat_1=74.856102 \
	602	+lon_2=53.942810 +lat_2=74.905884 +units=km +no_rot +no_defs \
	603	-E >>${OUT} <<EOF
	604	56.958381652832 72.8798
	605	56.9584 72.8798
	606	EOF
	607	echo "##############################################################" >> ${OUT}
	608	echo "Test omerc differences between poles (#190)" >> ${OUT}
	609	# First, north pole.
	610	$EXE -f '%.3f' \
	611	+proj=latlong +ellps=WGS84 \
	612	+to +proj=omerc +ellps=WGS84 +datum=WGS84 +no_rot \
	613	+lon_1=-27 +lat_1=70 +lon_2=-38 +lat_2=80 +lat_0=70 \
	614	-E >>${OUT} <<EOF
	615	-27 70
	616	-27 80
	617	-27 89.9
	618	163 89.9
	619	163 80
	620	EOF
	621	# Again, for the south pole.
	622	$EXE -f '%.3f' \
	623	+proj=latlong +ellps=WGS84 \
	624	+to +proj=omerc +ellps=WGS84 +datum=WGS84 +no_rot \
	625	+lon_1=-27 +lat_1=-70 +lon_2=-38 +lat_2=-80 +lat_0=-70 \
	626	-E >>${OUT} <<EOF
	627	-27 -70
	628	-27 -80
	629	-27 -89.9
	630	163 -89.9
	631	163 -80
	632	EOF
	633	echo "##############################################################" >> ${OUT}
	634	echo "Test qsc" >> ${OUT}
	635	#
	636	$EXE -f '%.13f' \
	637	+proj=latlong +datum=WGS84 \
	638	+to +proj=qsc +datum=WGS84 +no_defs \
	639	-E >>${OUT} <<EOF
	640	13 -10
	641	EOF
	642	$EXE -f '%.13f' \
	643	+proj=qsc +datum=WGS84 +no_defs \
	644	+to +proj=latlong +datum=WGS84 \
	645	-E >>${OUT} <<EOF
	646	2073986.94908809568733 -1680858.27222427958623
	647	EOF
	648	echo "##############################################################" >> ${OUT}
	649	echo "Test bug 229" >> ${OUT}
	650	#
	651	$EXE -f '%.13f' \
	652	+init=epsg:4326 +proj=longlat +ellps=WGS84 +datum=WGS84 +no_defs +towgs84=0,0,0 \
	653	+to +proj=latlong +datum=WGS84 +no_defs \
	654	-E >>${OUT} <<EOF
	655	13 -10
	656	EOF
	657	echo "##############################################################" >> ${OUT}
	658	echo "Test bug 229 (2)" >> ${OUT}
	659	#
	660	$EXE -f '%.13f' \
	661	+init=epsg:4326 +to +init=epsg:4326 \
	662	-E >>${OUT} <<EOF
	663	13 -10
	664	EOF
	665	echo "##############################################################" >> ${OUT}
	666	echo "Test bug 244 " >> ${OUT}
	667	#
	668	$EXE -f '%.12f' \
	669	+init=epsg:4326 \
	670	+to +proj=aeqd +lon_0=130.0 +lat_0=40.0 +a=6378137 +b=6378137 +units=m +no_defs \
	671	-E >>${OUT} <<EOF
	672	-140.100000 -87.000000
	673	EOF
	674	echo "##############################################################" >> ${OUT}
	675	echo "Test bug 244 (2)" >> ${OUT}
	676	#
	677	$EXE -f '%.12f' \
	678	+proj=aeqd +lon_0=130.0 +lat_0=40.0 +a=6378137 +b=6378137 +units=m +no_defs \
	679	+to +init=epsg:4326 \
	680	-E >>${OUT} <<EOF
	681	987122.4183302754536 -14429896.5395309105515
	682	EOF
	683	echo "##############################################################" >> ${OUT}
	684	echo "Test bug 245 (use +datum=carthage)" >> ${OUT}
	685	#
	686	$EXE -f '%.12f' \
	687	+proj=longlat +datum=WGS84 +nodefs +to +proj=utm +zone=32 +datum=carthage +nodefs \
	688	-E >>${OUT} <<EOF
	689	10 34
	690	EOF
	691	echo "##############################################################" >> ${OUT}
	692	echo "Test bug 245 (use expension of +datum=carthage)" >> ${OUT}
	693	#
	694	$EXE -f '%.12f' \
	695	+proj=longlat +datum=WGS84 +nodefs +to +proj=utm +zone=32 +a=6378249.2 +b=6356515 +towgs84=-263.0,6.0,431.0 +nodefs \
	696	-E >>${OUT} <<EOF
	697	10 34
	698	EOF
417	699	##############################################################################
418		# Done!
	700	# Done!
419	701	# do 'diff' with distribution results
420	702	echo "diff ${OUT} with ${OUT}.dist"
421	703	diff -b ${OUT} ${OUT}.dist

+183

-39

lib/pyproj/data/tv_out.dist less more

57	57	##############################################################
58	58	Test extended transverse mercator (#97)
59	59	10000 20000 20dW 0dN 0.000
60		500000 2000000 15d22'16.108"W 17d52'53.478"N 0.000
61		1000000 2000000 10d40'55.532"W 17d42'48.526"N 0.000
62		2000000 2000000 1d32'21.33"W 17d3'47.233"N 0.000
63		4000000 2000000 15d4'42.357"E 14d48'56.372"N 0.000
	60	500000 2000000 15d22'16.108"W 17d52'53.478"N 0.000
	61	1000000 2000000 10d40'55.532"W 17d42'48.526"N 0.000
	62	2000000 2000000 1d32'21.33"W 17d3'47.233"N 0.000
	63	4000000 2000000 15d4'42.357"E 14d48'56.372"N 0.000
64	64	##############################################################
65	65	Test extended transverse mercator inverse (#97)
66	66	0dN 0.000 2278817.00 20000.00 0.00
67		15d22'16.108"W 17d52'53.478"N 0.000 499999.99 2000000.01 0.00
68		10d40'55.532"W 17d42'48.526"N 0.000 999999.99 1999999.99 0.00
69		1d32'21.33"W 17d3'47.233"N 0.000 2000000.00 1999999.99 0.00
70		15d4'42.357"E 14d48'56.372"N 0.000 4000000.00 2000000.01 0.00
	67	15d22'16.108"W 17d52'53.478"N 0.000 499999.99 2000000.01 0.00
	68	10d40'55.532"W 17d42'48.526"N 0.000 999999.99 1999999.99 0.00
	69	1d32'21.33"W 17d3'47.233"N 0.000 2000000.00 1999999.99 0.00
	70	15d4'42.357"E 14d48'56.372"N 0.000 4000000.00 2000000.01 0.00
71	71	##############################################################
72	72	Test transverse mercator (#97)
73	73	10000 20000 20dW 0dN 0.000
74		500000 2000000 15d22'16.108"W 17d52'53.478"N 0.000
75		1000000 2000000 10d40'55.532"W 17d42'48.526"N 0.000
76		2000000 2000000 1d32'21.399"W 17d3'47.244"N 0.000
77		4000000 2000000 15d4'6.539"E 14d49'7.331"N 0.000
	74	500000 2000000 15d22'16.108"W 17d52'53.478"N 0.000
	75	1000000 2000000 10d40'55.532"W 17d42'48.526"N 0.000
	76	2000000 2000000 1d32'21.399"W 17d3'47.244"N 0.000
	77	4000000 2000000 15d4'6.539"E 14d49'7.331"N 0.000
78	78	##############################################################
79	79	Test transverse mercator inverse (#97)
80	80	0dN 0.000 2278812.96 20000.00 0.00
81		15d22'16.108"W 17d52'53.478"N 0.000 499999.99 2000000.01 0.00
82		10d40'55.532"W 17d42'48.526"N 0.000 999999.99 1999999.99 0.00
83		1d32'21.33"W 17d3'47.233"N 0.000 2000000.03 1999999.62 0.00
84		15d4'42.357"E 14d48'56.372"N 0.000 3999967.33 1999855.31 0.00
	81	15d22'16.108"W 17d52'53.478"N 0.000 499999.99 2000000.01 0.00
	82	10d40'55.532"W 17d42'48.526"N 0.000 999999.99 1999999.99 0.00
	83	1d32'21.33"W 17d3'47.233"N 0.000 2000000.03 1999999.62 0.00
	84	15d4'42.357"E 14d48'56.372"N 0.000 3999967.33 1999855.31 0.00
85	85	##############################################################
86	86	Test robinson projection (#113)
87		-30 40 -2612095.95 4276351.58 0.00
	87	-30 40 -2612095.95 4276351.58 0.00
88	88	-35 45 -2963455.42 4805073.65 0.00
89		##############################################################
90		Test forward projection on sphere
	89	20 40 1741397.30 4276351.58 0.00
	90	-2612095.95 4276351.58 0.00 30d0'0.004"W 40d0'0.066"N 0.000
	91	-2963455.42 4805073.65 0.00 35dW 45dN 0.000
	92	1741397.30 4276351.58 0.00 20d0'0.002"E 40d0'0.066"N 0.000
	93	##############################################################
	94	Test healpix forward projection on sphere
91	95	0 41.81031 0.00000 0.78540 0.00000
92	96	-90 0 -1.57080 0.00000 0.00000
93		Test inverse projection on sphere
	97	0 0 0.00000 0.00000 0.00000
	98	0 41.810314895778596 0.00000 3.92699 0.00000
	99	0 -41.810314895778596 0.00000 -3.92699 0.00000
	100	90.0 0 7.85398 0.00000 0.00000
	101	-90.0 0 -7.85398 0.00000 0.00000
	102	-180 0 -15.70796 0.00000 0.00000
	103	-180 90.0 -19.63495 7.85398 0.00000
	104	-180 -90.0 -19.63495 -7.85398 0.00000
	105	0 60.0 1.43738 5.36437 0.00000
	106	0 -60.0 1.43738 -5.36437 0.00000
	107	Test healpix inverse projection on sphere
94	108	0 0.7853981633974483 0.00000 41.81031 0.00000
95	109	-1.5707963267948966 0 -90.00000 0.00000 0.00000
96		Test forward projection on ellipsoid
97		0 41.937853904844985 0.00000 0.78540 0.00000
98		-90 0 -1.57080 0.00000 0.00000
99		Test inverse projection on ellipsoid
100		0 0.7853981633974483 0.00000 41.93785 0.00000
101		-1.5707963267948966 0 -90.00000 0.00000 0.00000
102		##############################################################
103		Test forward projection on sphere
104		0 41.81031 0.00000 0.78540 0.00000
105		-90 0 -1.57080 0.00000 0.00000
106		Test inverse projection on sphere
107		0 0.7853981633974483 0.00000 41.81031 0.00000
108		-1.5707963267948966 0 -90.00000 0.00000 0.00000
109		Test forward projection on ellipsoid
110		0 41.937853904844985 0.00000 0.78540 0.00000
111		-90 0 -1.57080 0.00000 0.00000
112		Test inverse projection on ellipsoid
113		0 0.7853981633974483 0.00000 41.93785 0.00000
114		-1.5707963267948966 0 -90.00000 0.00000 0.00000
	110	0.0 0.0 0.00000 0.00000 0.00000
	111	0.0 3.9269908169872414 0.00000 41.81031 0.00000
	112	0.0 -3.9269908169872414 0.00000 -41.81031 0.00000
	113	7.853981633974483 0.0 90.00000 0.00000 0.00000
	114	-7.853981633974483 0.0 -90.00000 0.00000 0.00000
	115	-15.707963267948966 0.0 -180.00000 0.00000 0.00000
	116	-11.780972450961723 7.853981633974483 -180.00000 90.00000 0.00000
	117	-11.780972450961723 -7.853981633974483 -180.00000 -90.00000 0.00000
	118	1.437378399445537 5.364369216432778 0.00000 60.00000 0.00000
	119	1.437378399445537 -5.364369216432778 0.00000 -60.00000 0.00000
	120	Test healpix forward projection on ellipsoid
	121	0 41.937853904844985 0.00000 0.78452 0.00000
	122	-90 0 -1.56904 0.00000 0.00000
	123	0 0 0.00000 0.00000 0.00000
	124	0 41.810314895778596 0.00000 2.05479 0.00000
	125	0 -41.810314895778596 0.00000 -2.05479 0.00000
	126	90.0 0 6.78898 0.00000 0.00000
	127	-90.0 0 -6.78898 0.00000 0.00000
	128	-180 0 -13.57797 0.00000 0.00000
	129	-180 90.0 -16.97246 6.78898 0.00000
	130	-180 -90.0 -16.97246 -6.78898 0.00000
	131	0 60.0 0.00000 3.35128 0.00000
	132	0 -60.0 0.00000 -3.35128 0.00000
	133	Test healpix inverse projection on ellipsoid
	134	0 0.7853981633974483 * * 0.00000
	135	-1.5707963267948966 0 -90.10072 0.00000 0.00000
	136	0.0 0.0 0.00000 0.00000 0.00000
	137	0.0 2.0547874222147415 0.00000 39.58811 0.00000
	138	0.0 -2.0547874222147415 0.00000 -39.58811 0.00000
	139	6.788983564106746 0.0 90.00000 0.00000 0.00000
	140	-6.788983564106746 0.0 -90.00000 0.00000 0.00000
	141	-13.577967128213492 0.0 -180.00000 0.00000 0.00000
	142	-10.183475346160119 6.788983564106746 -180.00000 90.00000 0.00000
	143	-10.183475346160119 -6.788983564106746 -180.00000 -90.00000 0.00000
	144	0.0 3.351278550178025 0.00000 59.23640 0.00000
	145	0.0 -3.351278550178025 0.00000 -59.23640 0.00000
	146	##############################################################
	147	Test rHEALPix forward projection on sphere north=0 south=0
	148	-180 30.0 -15.70796 2.94524 0.00000
	149	-180 -25.714285714285715 -15.70796 -2.55579 0.00000
	150	0 0 0.00000 0.00000 0.00000
	151	60.0 41.809314895778598 5.23599 3.92691 0.00000
	152	##############################################################
	153	Test rHEALPix forward projection on sphere north=1 south=1
	154	-180 30.0 -15.70796 2.94524 0.00000
	155	-180 -25.714285714285715 -15.70796 -2.55579 0.00000
	156	0 0 0.00000 0.00000 0.00000
	157	60.0 41.809314895778598 5.23599 3.92691 0.00000
	158	##############################################################
	159	Test rHEALPix inverse projection on sphere north=0 south=0
	160	0.0 0.0 0.00000 0.00000 0.00000
	161	0.0 3.9269908169872414 0.00000 41.81031 0.00000
	162	0.0 -3.9269908169872414 0.00000 -41.81031 0.00000
	163	7.853981633974483 0.0 90.00000 0.00000 0.00000
	164	-7.853981633974483 0.0 -90.00000 0.00000 0.00000
	165	##############################################################
	166	Test rHEALPix inverse projection on sphere north=1 south=1
	167	0.0 0.0 0.00000 0.00000 0.00000
	168	0.0 3.9269908169872414 0.00000 41.81031 0.00000
	169	0.0 -3.9269908169872414 0.00000 -41.81031 0.00000
	170	7.853981633974483 0.0 90.00000 0.00000 0.00000
	171	-7.853981633974483 0.0 -90.00000 0.00000 0.00000
	172	##############################################################
	173	Test rHEALPix forward projection on ellipsoid north=0 south=0
	174	0 0 0.00000 0.00000 0.00000
	175	0 41.810314895778596 0.00000 2.05479 0.00000
	176	0 -41.810314895778596 0.00000 -2.05479 0.00000
	177	90.0 0 6.78898 0.00000 0.00000
	178	-90.0 0 -6.78898 0.00000 0.00000
	179	##############################################################
	180	Test rHEALPix forward projection on ellipsoid north=1 south=1
	181	0 0 0.00000 0.00000 0.00000
	182	0 41.810314895778596 0.00000 2.05479 0.00000
	183	0 -41.810314895778596 0.00000 -2.05479 0.00000
	184	90.0 0 6.78898 0.00000 0.00000
	185	-90.0 0 -6.78898 0.00000 0.00000
	186	##############################################################
	187	Test rHEALPix inverse projection on ellipsoid north=0 south=0
	188	0.0 0.0 0.00000 0.00000 0.00000
	189	0.0 2.0547874222147415 0.00000 39.58811 0.00000
	190	0.0 -2.0547874222147415 0.00000 -39.58811 0.00000
	191	6.788983564106746 0.0 90.00000 0.00000 0.00000
	192	-6.788983564106746 0.0 -90.00000 0.00000 0.00000
	193	##############################################################
	194	Test rHEALPix inverse projection on ellipsoid north=1 south=1
	195	0.0 0.0 0.00000 0.00000 0.00000
	196	0.0 2.0547874222147415 0.00000 39.58811 0.00000
	197	0.0 -2.0547874222147415 0.00000 -39.58811 0.00000
	198	6.788983564106746 0.0 90.00000 0.00000 0.00000
	199	-6.788983564106746 0.0 -90.00000 0.00000 0.00000
115	200	##############################################################
116	201	Test geos projection
117	202	Test geos on a sphere

185	270	Test pconic (#148)
186	271	-70.4 -23.65 -2240096.40 -6940342.15 0.00
187	272	-2240096.40 -6940342.15 70d24'W 23d39'S 0.000
	273	##############################################################
	274	Test laea
	275	-6086629.0 4488761.0 156.058637988599 37.765458298678 0.000000000000
	276	##############################################################
	277	Test forward calcofi projection
	278	120d40'42.273"W 38d56'50.766"N 60.00 20.00 0.00
	279	121d9'W 34d9'N 80.00 60.00 0.00
	280	123d59'56.066"W 30d25'4.617"N 90.00 120.00 0.00
	281	Test inverse calcofi projection
	282	60 20 120d40'42.273"W 38d56'50.766"N 0.000
	283	80 60 121d9'W 34d9'N 0.000
	284	90 120 123d59'56.066"W 30d25'4.617"N 0.000
	285	##############################################################
	286	Check inverse error handling with ob_tran (#225)
	287	300000 400000 42d45'22.377"W 85d35'28.083"N 0.000
	288	20000000 30000000 * * 0.000
	289	Test inverse handling
	290	10 20 -1384841.19 7581707.88 0.00
	291	##############################################################
	292	Test MGI datum gives expected results (#207)
	293	16.33 48.20 595710.37321015028283 5357598.46457545924932 -44.49510847218335
	294	##############################################################
	295	Test omerc sensitivity with locations 90d from origin(#114)
	296	56.958381652832 72.8798 -9985.16336452572614 -227.67701050320997 0.00000000000000
	297	56.9584 72.8798 9985.16263662453457 -227.67701050313340 0.00000000000000
	298	##############################################################
	299	Test omerc differences between poles (#190)
	300	-27 70 7846957.203 0.000 0.000
	301	-27 80 8944338.041 204911.652 0.000
	302	-27 89.9 10033520.737 402158.063 0.000
	303	163 89.9 10055728.173 404099.799 0.000
	304	163 80 11163496.121 397796.828 0.000
	305	-27 -70 -7846957.203 0.000 0.000
	306	-27 -80 -8944338.041 204911.652 0.000
	307	-27 -89.9 -10033520.737 402158.063 0.000
	308	163 -89.9 -10055728.173 404099.799 0.000
	309	163 -80 -11163496.121 397796.828 0.000
	310	##############################################################
	311	Test qsc
	312	13 -10 2073986.9490880956873 -1680858.2722242795862 0.0000000000000
	313	2073986.94908809568733 -1680858.27222427958623 13.0000000000000 -10.0000000000000 0.0000000000000
	314	##############################################################
	315	Test bug 229
	316	13 -10 13.0000000000000 -10.0000000000000 0.0000000000000
	317	##############################################################
	318	Test bug 229 (2)
	319	13 -10 13.0000000000000 -10.0000000000000 0.0000000000000
	320	##############################################################
	321	Test bug 244
	322	-140.100000 -87.000000 987122.418330275454 -14429896.539530910552 0.000000000000
	323	##############################################################
	324	Test bug 244 (2)
	325	987122.4183302754536 -14429896.5395309105515 -140.100000000000 -87.000000000000 0.000000000000
	326	##############################################################
	327	Test bug 245 (use +datum=carthage)
	328	10 34 592302.981946153101 3762148.734061029274 -30.311017032713
	329	##############################################################
	330	Test bug 245 (use expension of +datum=carthage)
	331	10 34 592302.981946153101 3762148.734061030205 -30.311017032713

-3

setup-proj.py less more

17	17	incdirs.append(os.path.join(proj_dir,'include'))
18	18
19	19	pyprojext =\
20		Extension("pyproj._proj",["_proj.c"],include_dirs=incdirs,library_dirs=libdirs,libraries=libraries)
	20	Extension("pyproj._proj",["_proj.c"],include_dirs=incdirs,library_dirs=libdirs,\
	21	runtime_library_dirs=libdirs,libraries=libraries)
21	22
22	23	# over-write default data directory.
23	24	pyproj_datadir = os.path.join(os.path.join(proj_dir,'share'),'proj')

30	31	package_dirs = {'':'lib'}
31	32
32	33	setup(name = "pyproj",
33		version = "1.9.3",
	34	version = "1.9.4",
34	35	description = "Python interface to PROJ.4 library",
35	36	long_description = """
36	37	Performs cartographic transformations between geographic (lat/lon)

38	39	from one map projection coordinate system to another.
39	40	Coordinates can be given as numpy arrays, python arrays, lists or scalars.
40	41	Optimized for numpy arrays.""",
41		url = "http://code.google.com/p/pyproj",
	42	url = "https://github.com/jswhit/pyproj",
42	43	download_url = "http://python.org/pypi/pyproj",
43	44	author = "Jeff Whitaker",
44	45	author_email = "jeffrey.s.whitaker@noaa.gov",

-5

setup.py less more

8	8	pathout = os.path.join('lib',os.path.join('pyproj','data'))
9	9	if sys.argv[1] != 'sdist':
10	10	cc = ccompiler.new_compiler()
11		#sysconfig.customize_compiler(cc) # doesn't work in python 3.3
	11	sysconfig.get_config_vars()
	12	sysconfig.customize_compiler(cc)
12	13	cc.set_include_dirs(['src'])
13	14	objects = cc.compile(['nad2bin.c', 'src/pj_malloc.c'])
14	15	execname = 'nad2bin'

30	31	package_data = {'pyproj':datafiles}
31	32
32	33	setup(name = "pyproj",
33		version = "1.9.3",
	34	version = "1.9.4",
34	35	description = "Python interface to PROJ.4 library",
35	36	long_description = """
36	37	Performs cartographic transformations between geographic (lat/lon)

38	39	from one map projection coordinate system to another.
39	40	Coordinates can be given as numpy arrays, python arrays, lists or scalars.
40	41	Optimized for numpy arrays.""",
41		url = "http://code.google.com/p/pyproj",
	42	url = "https://github.com/jswhit/pyproj",
42	43	download_url = "http://python.org/pypi/pyproj",
43	44	author = "Jeff Whitaker",
44	45	author_email = "jeffrey.s.whitaker@noaa.gov",

46	47	license = "OSI Approved",
47	48	keywords = ["python","map projections","GIS","mapping","maps"],
48	49	classifiers = ["Development Status :: 4 - Beta",
49		"Intended Audience :: Science/Research",
50		"License :: OSI Approved",
	50	"Intended Audience :: Science/Research",
	51	"License :: OSI Approved",
51	52	"Topic :: Software Development :: Libraries :: Python Modules",
52	53	"Topic :: Scientific/Engineering :: GIS",
53	54	"Topic :: Scientific/Engineering :: Mathematics",

-3

src/PJ_aeqd.c less more

0	0	/******************************************************************************
1		* $Id: PJ_aeqd.c 1856 2010-06-11 03:26:04Z warmerdam $
	1	* $Id: PJ_aeqd.c 2520 2014-09-13 20:19:37Z hobu $
2	2	*
3	3	* Project: PROJ.4
4	4	* Purpose: Implementation of the aeqd (Azimuthal Equidistant) projection.

39	39	#define PJ_LIB__
40	40	#include <projects.h>
41	41
42		PJ_CVSID("$Id: PJ_aeqd.c 1856 2010-06-11 03:26:04Z warmerdam $");
	42	PJ_CVSID("$Id: PJ_aeqd.c 2520 2014-09-13 20:19:37Z hobu $");
43	43
44	44	PROJ_HEAD(aeqd, "Azimuthal Equidistant") "\n\tAzi, Sph&Ell\n\tlat_0 guam";
45	45

209	209	xy.y = (cosc - P->sinph0 * sin(lp.phi)) * c_rh;
210	210	xy.x = sinc P->cosph0;
211	211	}
212		lp.lam = xy.y == 0. ? 0. : atan2(xy.x, xy.y);
	212	lp.lam = atan2(xy.x, xy.y);
213	213	} else if (P->mode == N_POLE) {
214	214	lp.phi = HALFPI - c_rh;
215	215	lp.lam = atan2(xy.x, -xy.y);

-4

src/PJ_aitoff.c less more

0	0	/******************************************************************************
1		* $Id: PJ_aitoff.c 1856 2010-06-11 03:26:04Z warmerdam $
	1	* $Id: PJ_aitoff.c 2369 2013-06-26 05:54:00Z warmerdam $
2	2	*
3	3	* Project: PROJ.4
4	4	* Purpose: Implementation of the aitoff (Aitoff) and wintri (Winkel Tripel)

33	33	#define PJ_LIB__
34	34	#include <projects.h>
35	35
36		PJ_CVSID("$Id: PJ_aitoff.c 1856 2010-06-11 03:26:04Z warmerdam $");
	36	PJ_CVSID("$Id: PJ_aitoff.c 2369 2013-06-26 05:54:00Z warmerdam $");
37	37
38		PROJ_HEAD(aitoff, "Aitoff") "\n\tMisc Sph";
39		PROJ_HEAD(wintri, "Winkel Tripel") "\n\tMisc Sph\n\tlat_1";
	38	PROJ_HEAD(aitoff, "Aitoff") "\n\tMisc Sph, no inv.";
	39	PROJ_HEAD(wintri, "Winkel Tripel") "\n\tMisc Sph, no inv.\n\tlat_1";
40	40
41	41	FORWARD(s_forward); /* spheroid */
42	42	double c, d;

+138

-0

src/PJ_calcofi.c less more

	0	#define PJ_LIB__
	1	#include <projects.h>
	2	#include <string.h>
	3	#include <stdio.h>
	4	#include <math.h>
	5	#include <proj_api.h>
	6	#include <errno.h>
	7
	8	/* Conversions for the California Cooperative Oceanic Fisheries Investigations
	9	Line/Station coordinate system following the algorithm of:
	10	Eber, L.E., and R.P. Hewitt. 1979. Conversion algorithms for the CALCOFI
	11	station grid. California Cooperative Oceanic Fisheries Investigations Reports
	12	20:135-137. (corrected for typographical errors).
	13	http://www.calcofi.org/publications/calcofireports/v20/Vol_20_Eber___Hewitt.pdf
	14	They assume 1 unit of CalCOFI Line == 1/5 degree in longitude or
	15	meridional units at reference point O, and similarly 1 unit of CalCOFI
	16	Station == 1/15 of a degree at O.
	17	By convention, CalCOFI Line/Station conversions use Clarke 1866 but we use
	18	whatever ellipsoid is provided. */
	19
	20	PROJ_HEAD(calcofi,
	21	"Cal Coop Ocean Fish Invest Lines/Stations") "\n\tCyl, Sph&Ell";
	22
	23	#define EPS10 1.e-10
	24	#define DEG_TO_LINE 5
	25	#define DEG_TO_STATION 15
	26	#define LINE_TO_RAD 0.0034906585039886592
	27	#define STATION_TO_RAD 0.0011635528346628863
	28	#define PT_O_LINE 80 /* reference point O is at line 80, */
	29	#define PT_O_STATION 60 /* station 60, */
	30	#define PT_O_LAMBDA -2.1144663887911301 /* lon -121.15 and */
	31	#define PT_O_PHI 0.59602993955606354 /* lat 34.15 */
	32	#define ROTATION_ANGLE 0.52359877559829882 /CalCOFI angle of 30 deg in rad /
	33	FORWARD(e_forward); /* ellipsoid */
	34	double oy; /* pt O y value in Mercator */
	35	double l1; /* l1 and l2 are distances calculated using trig that sum
	36	to the east/west distance between point O and point xy */
	37	double l2;
	38	double ry; /* r is the point on the same station as o (60) and the same
	39	line as xy xy, r, o form a right triangle */
	40	/* if the user has specified +lon_0 or +k0 for some reason,
	41	we're going to ignore it so that xy is consistent with point O */
	42	lp.lam = lp.lam + P->lam0;
	43	if (fabs(fabs(lp.phi) - HALFPI) <= EPS10) F_ERROR;
	44	xy.x = lp.lam;
	45	xy.y = -log(pj_tsfn(lp.phi, sin(lp.phi), P->e)); /* Mercator transform xy*/
	46	oy = -log(pj_tsfn(PT_O_PHI, sin(PT_O_PHI), P->e));
	47	l1 = (xy.y - oy) * tan(ROTATION_ANGLE);
	48	l2 = -xy.x - l1 + PT_O_LAMBDA;
	49	ry = l2 * cos(ROTATION_ANGLE) * sin(ROTATION_ANGLE) + xy.y;
	50	ry = pj_phi2(P->ctx, exp(-ry), P->e); /inverse Mercator/
	51	xy.x = PT_O_LINE - RAD_TO_DEG *
	52	(ry - PT_O_PHI) * DEG_TO_LINE / cos(ROTATION_ANGLE);
	53	xy.y = PT_O_STATION + RAD_TO_DEG *
	54	(ry - lp.phi) * DEG_TO_STATION / sin(ROTATION_ANGLE);
	55	/* set a = 1, x0 = 0, and y0 = 0 so that no further unit adjustments
	56	are done */
	57	P->a = 1;
	58	P->x0 = 0;
	59	P->y0 = 0;
	60	return (xy);
	61	}
	62	FORWARD(s_forward); /* spheroid */
	63	double oy;
	64	double l1;
	65	double l2;
	66	double ry;
	67	lp.lam = lp.lam + P->lam0;
	68	if (fabs(fabs(lp.phi) - HALFPI) <= EPS10) F_ERROR;
	69	xy.x = lp.lam;
	70	xy.y = log(tan(FORTPI + .5 * lp.phi));
	71	oy = log(tan(FORTPI + .5 * PT_O_PHI));
	72	l1 = (xy.y - oy) * tan(ROTATION_ANGLE);
	73	l2 = -xy.x - l1 + PT_O_LAMBDA;
	74	ry = l2 * cos(ROTATION_ANGLE) * sin(ROTATION_ANGLE) + xy.y;
	75	ry = HALFPI - 2. * atan(exp(-ry));
	76	xy.x = PT_O_LINE - RAD_TO_DEG *
	77	(ry - PT_O_PHI) * DEG_TO_LINE / cos(ROTATION_ANGLE);
	78	xy.y = PT_O_STATION + RAD_TO_DEG *
	79	(ry - lp.phi) * DEG_TO_STATION / sin(ROTATION_ANGLE);
	80	P->a = 1;
	81	P->x0 = 0;
	82	P->y0 = 0;
	83	return (xy);
	84	}
	85	INVERSE(e_inverse); /* ellipsoid */
	86	double ry; /* y value of point r */
	87	double oymctr; /* Mercator-transformed y value of point O */
	88	double rymctr; /* Mercator-transformed ry */
	89	double xymctr; /* Mercator-transformed xy.y */
	90	double l1;
	91	double l2;
	92	/* turn x and y back into Line/Station */
	93	xy.x /= P->ra;
	94	xy.y /= P->ra;
	95	ry = PT_O_PHI - LINE_TO_RAD * (xy.x - PT_O_LINE) *
	96	cos(ROTATION_ANGLE);
	97	lp.phi = ry - STATION_TO_RAD * (xy.y - PT_O_STATION) * sin(ROTATION_ANGLE);
	98	oymctr = -log(pj_tsfn(PT_O_PHI, sin(PT_O_PHI), P->e));
	99	rymctr = -log(pj_tsfn(ry, sin(ry), P->e));
	100	xymctr = -log(pj_tsfn(lp.phi, sin(lp.phi), P->e));
	101	l1 = (xymctr - oymctr) * tan(ROTATION_ANGLE);
	102	l2 = (rymctr - xymctr) / (cos(ROTATION_ANGLE) * sin(ROTATION_ANGLE));
	103	lp.lam = PT_O_LAMBDA - (l1 + l2);
	104	P->over = 1;
	105	return (lp);
	106	}
	107	INVERSE(s_inverse); /* spheroid */
	108	double ry;
	109	double oymctr;
	110	double rymctr;
	111	double xymctr;
	112	double l1;
	113	double l2;
	114	xy.x /= P->ra;
	115	xy.y /= P->ra;
	116	ry = PT_O_PHI - LINE_TO_RAD * (xy.x - PT_O_LINE) *
	117	cos(ROTATION_ANGLE);
	118	lp.phi = ry - STATION_TO_RAD * (xy.y - PT_O_STATION) * sin(ROTATION_ANGLE);
	119	oymctr = log(tan(FORTPI + .5 * PT_O_PHI));
	120	rymctr = log(tan(FORTPI + .5 * ry));
	121	xymctr = log(tan(FORTPI + .5 * lp.phi));
	122	l1 = (xymctr - oymctr) * tan(ROTATION_ANGLE);
	123	l2 = (rymctr - xymctr) / (cos(ROTATION_ANGLE) * sin(ROTATION_ANGLE));
	124	lp.lam = PT_O_LAMBDA - (l1 + l2);
	125	P->over = 1;
	126	return (lp);
	127	}
	128	FREEUP; if (P) pj_dalloc(P); }
	129	ENTRY0(calcofi)
	130	if (P->es) { /* ellipsoid */
	131	P->inv = e_inverse;
	132	P->fwd = e_forward;
	133	} else { /* sphere */
	134	P->inv = s_inverse;
	135	P->fwd = s_forward;
	136	}
	137	ENDENTRY(P)

-2

src/PJ_geos.c less more

4	4	** Copyright (c) 2012 Martin Raspaud
5	5	*/
6	6	static const char
7		LIBPROJ_ID[] = "$Id: PJ_geos.c 2176 2012-02-27 07:56:32Z warmerdam $";
	7	LIBPROJ_ID[] = "$Id: PJ_geos.c 2411 2013-12-09 18:13:15Z warmerdam $";
8	8	/*
9	9	** See also (section 4.4.3.2):
10	10	** http://www.eumetsat.int/en/area4/msg/news/us_doc/cgms_03_26.pdf

169	169	(P->sweep_axis[0] != 'x' &&
170	170	P->sweep_axis[0] != 'y'))
171	171	E_ERROR(-49);
172		if (P->sweep_axis[0] == 'y')
	172	if (P->sweep_axis[0] == 'x')
173	173	P->flip_axis = 1;
174	174	else
175	175	P->flip_axis = 0;

-16

src/PJ_hammer.c less more

1	1	double w; \
2	2	double m, rm;
3	3	#define PJ_LIB__
4		# define EPS 1.0e-10
5	4	# include <projects.h>
6	5	PROJ_HEAD(hammer, "Hammer & Eckert-Greifendorff")
7		"\n\tMisc Sph, \n\tW= M=";
	6	"\n\tMisc Sph, no inv.\n\tW= M=";
8	7	FORWARD(s_forward); /* spheroid */
9	8	double cosphi, d;
10	9

12	11	xy.x = P->m * d * cosphi * sin(lp.lam);
13	12	xy.y = P->rm * d * sin(lp.phi);
14	13	return (xy);
15		}
16		INVERSE(s_inverse); /* spheroid */
17		double z;
18		z = sqrt(1. - 0.25P->wP->wxy.xxy.x - 0.25xy.yxy.y);
19		if (fabs(2.zz-1.) < EPS) {
20		lp.lam = HUGE_VAL;
21		lp.phi = HUGE_VAL;
22		pj_errno = -14;
23		} else {
24		lp.lam = aatan2(P->w * xy.x * z,2. * z * z - 1)/P->w;
25		lp.phi = aasin(P->ctx,z * xy.y);
26		}
27		return (lp);
28	14	}
29	15	FREEUP; if (P) pj_dalloc(P); }
30	16	ENTRY0(hammer)

38	24	P->m = 1.;
39	25	P->rm = 1. / P->m;
40	26	P->m /= P->w;
41		P->es = 0.; P->fwd = s_forward; P->inv = s_inverse;
	27	P->es = 0.; P->fwd = s_forward;
42	28	ENDENTRY(P)

+41

-0

src/PJ_hammer.c.diff less more

	0	--- ../../proj/src/PJ_hammer.c 2011-12-15 09:24:19.000000000 -0700
	1	+++ PJ_hammer.c 2012-04-02 15:37:13.000000000 -0600
	2	@@ -2,9 +2,10 @@
	3	double w; \
	4	double m, rm;
	5	#define PJ_LIB__
	6	+# define EPS 1.0e-10
	7	# include <projects.h>
	8	PROJ_HEAD(hammer, "Hammer & Eckert-Greifendorff")
	9	- "\n\tMisc Sph, no inv.\n\tW= M=";
	10	+ "\n\tMisc Sph, \n\tW= M=";
	11	FORWARD(s_forward); /* spheroid */
	12	double cosphi, d;
	13
	14	@@ -13,6 +14,19 @@
	15	xy.y = P->rm * d * sin(lp.phi);
	16	return (xy);
	17	}
	18	+INVERSE(s_inverse); /* spheroid */
	19	+ double z;
	20	+ z = sqrt(1. - 0.25P->wP->wxy.xxy.x - 0.25xy.yxy.y);
	21	+ if (fabs(2.zz-1.) < EPS) {
	22	+ lp.lam = HUGE_VAL;
	23	+ lp.phi = HUGE_VAL;
	24	+ pj_errno = -14;
	25	+ } else {
	26	+ lp.lam = aatan2(P->w * xy.x * z,2. * z * z - 1)/P->w;
	27	+ lp.phi = aasin(P->ctx,z * xy.y);
	28	+ }
	29	+ return (lp);
	30	+}
	31	FREEUP; if (P) pj_dalloc(P); }
	32	ENTRY0(hammer)
	33	if (pj_param(P->ctx, P->params, "tW").i) {
	34	@@ -25,5 +39,5 @@
	35	P->m = 1.;
	36	P->rm = 1. / P->m;
	37	P->m /= P->w;
	38	- P->es = 0.; P->fwd = s_forward;
	39	+ P->es = 0.; P->fwd = s_forward; P->inv = s_inverse;
	40	ENDENTRY(P)

+474

-604

src/PJ_healpix.c less more

0	0	/******************************************************************************
1	1	* $Id: PJ_healpix.c 1504 2011-10-18 14:58:57Z landcare $
2	2	*
3		* Project: PROJ.4
4		* Purpose: Implementation of the healpix projection.
5		* Definition: http://code.scenzgrid.org/index.php/p/scenzgrid-py/source/tree/master/docs/scenzgrid.pdf
6		* Author: Alex Raichev & Michael Speth , spethm@landcareresearch.co.nz
7		*
	3	* Project: PROJ.4
	4	* Purpose: Implementation of the HEALPix and rHEALPix projections.
	5	* For background see <http://code.scenzgrid.org/index.php/p/scenzgrid-py/source/tree/master/docs/rhealpix_dggs.pdf>.
	6	* Authors: Alex Raichev (raichev@cs.auckland.ac.nz)
	7	* Michael Speth (spethm@landcareresearch.co.nz)
	8	* Notes: Raichev implemented these projections in Python and
	9	* Speth translated them into C here.
8	10	******************************************************************************
9	11	* Copyright (c) 2001, Thomas Flemming, tf@ttqv.com
10	12	*

16	18	* Software is furnished to do so, subject to the following conditions:
17	19	*
18	20	* The above copyright notice and this permission notice shall be included
19		* in all copies or substantial portions of the Software.
	21	* in all copies or substcounteral portions of the Software.
20	22	*
21	23	* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
22	24	* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF

27	29	* CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
28	30	* SOFTWARE.
29	31	*****************************************************************************/
30
31		#define PROJ_PARMS__ \
32		int npole;\
33		int spole;
34
35		#define PJ_LIB__
	32	# define PROJ_PARMS__ \
	33	int north_square; \
	34	int south_square; \
	35	double qp; \
	36	double *apa;
	37	# define PJ_LIB__
36	38	# include <projects.h>
37	39	PROJ_HEAD(healpix, "HEALPix") "\n\tSph., Ellps.";
38		PROJ_HEAD(rhealpix, "rHEALPix") "\n\tSph., Ellps.\n\tnpole= spole=";
	40	PROJ_HEAD(rhealpix, "rHEALPix") "\n\tSph., Ellps.\n\tnorth_square= south_square=";
39	41	# include <stdio.h>
40		# define R1 {{ 0,-1},{ 1, 0}} / Matrix for anticlockwise rotation by pi/2 /
41		# define R2 {{-1, 0},{ 0,-1}} / Matrix for anticlockwise rotation by pi (R1 X R1) X = dot product /
42		# define R3 {{ 0, 1},{-1, 0}} /** Matrix for anticlockwise rotation by 3pi/2 (R2 X R1) */
43		# define IDENT {{1,0},{0,1}}
44		/**
45		* 0 - Identity matrix<br>
46		* 1 - Counter-clockwise rotation by PI/2<br>
47		* 2 - Counter-clockwise rotation by PI<br>
48		* 3 - Counter-clockwise rotation by 3*PI/2<br>
49		* 4 - Counter-clockwise rotation by 3*PI/2<br>
50		* 5 - Counter-clockwise rotation by PI<br>
51		* 6 - Counter-clockwise rotation by PI/2<br>
52		**/
53		# define ROT { IDENT, R1, R2, R3, R3, R2, R1}
54		# define RFACTOR 3 / Used for returning the rotation matrix /
55		/ Used for calculating if a point is within the HEALPix projection for sphere. /
56		# define EPS 1e-12
	42	/* Matrix for counterclockwise rotation by pi/2: */
	43	# define R1 {{ 0,-1},{ 1, 0}}
	44	/* Matrix for counterclockwise rotation by pi: */
	45	# define R2 {{-1, 0},{ 0,-1}}
	46	/* Matrix for counterclockwise rotation by 3pi/2: /
	47	# define R3 {{ 0, 1},{-1, 0}}
	48	/* Identity matrix */
	49	# define IDENT {{1, 0},{0, 1}}
	50	/* IDENT, R1, R2, R3, R1 inverse, R2 inverse, R3 inverse:*/
	51	# define ROT {IDENT, R1, R2, R3, R3, R2, R1}
	52	/* Fuzz to handle rounding errors: */
	53	# define EPS 1e-15
57	54	typedef struct {
58		int cn; // the number 0 -> 4 indicating the position of the polar cap.
59		double x,y; // the coordinates of the pole points (point of most extreme latitude on the polar caps).
60		enum Region { north, south, equatorial } region;
	55	int cn; /* An integer 0--3 indicating the position of the polar cap. */
	56	double x, y; /* Coordinates of the pole point (point of most extreme latitude on the polar caps). */
	57	enum Region {north, south, equatorial} region;
61	58	} CapMap;
62	59	typedef struct {
63		double x,y;
	60	double x, y;
64	61	} Point;
65	62	double rot[7][2][2] = ROT;
66	63
67	64	/**
68		NOTES: Alex Raichev implemented the math in python and this is a port of his work.
69		The healpix projection is a Lambert cylindrical equal-area projection for
70		equaltorial latitudes and an interrupted Colignon projection for polar
71		latitudes.
72		**/
73
74		/**
75	65	* Returns the sign of the double.
76	66	* @param v the parameter whose sign is returned.
77	67	* @return 1 for positive number, -1 for negative, and 0 for zero.
78	68	**/
79		double sign (double v) {
	69	double pj_sign (double v) {
80	70	return v > 0 ? 1 : (v < 0 ? -1 : 0);
81	71	}
82	72	/**
83		* Scales the number by a factor.
84		* @param num the number to be scaled.
85		* @param factor the factor to scale the number by.
86		* @param isInverse 1 for scaling the number by 1 / factor and 0 for scaling by the factor.
87		* @return the scaled number.
88		**/
89		double scale_number(double num, double factor, int isInverse){
90		if(isInverse == 1){
91		return num * 1.0/factor;
92		}
93		return num * factor;
94		}
95		/**
96		* Scales all the items of the array by a factor.
97		* @param xy
98		**/
99		void scale_array(XY *array, double k, int inverse){
100		double c = 0;
101		if (inverse == 1) {
102		c = 1.0/k;
103		}else{
104		c = k;
105		}
106		array->x *= c;
107		array->y *= c;
108		}
109		/**
110		* Given an angle return its equivalent angle.
111		* @param x the angle to convert
112		* @return the equivalent angle such that -PI <= the angle returend <= PI
113		**/
114		double standardize_lon(double x){
115		if(x < -1*PI \|\| x >= PI){
116		x = x - 2PIfloor(x/(2*PI));
117		if(x >= PI){
118		x = x - 2*PI;
119		}
120		}
121		return x;
122		}
123		/**
124		* Given an angle, return its unit-circle equivalent angle.
125		* @param x the angel to convert.
126		* @return the equivalent angle such that -PI/2 <= the angle returned <= PI/2.
127		**/
128		double standardize_lat(double x){
129		if( x < -PI/2.0 \|\| x > PI/2){
130		x = x-2.0PIfloor(x/(2.0*PI));
131		if(x > PI/2.0 && x <= 3.0*PI/2){
132		x = PI - x;
133		}else{
134		x = x - 2*PI;
135		}
136		}
137		return x;
138		}
139		/**
140		* Returns the index of the 2d array in rot.
141		* @param index range from -3 to 3.
142		* @return the index into the rot 3d array.
	73	* Return the index of the matrix in ROT.
	74	* @param index ranges from -3 to 3.
143	75	*/
144		static int get_rotate_index(int index){
145		switch(index){
	76	static int get_rotate_index(int index) {
	77	switch(index) {
146	78	case 0:
147	79	return 0;
148	80	case 1:

161	93	return 0;
162	94	}
163	95	/**
164		* Calculates if the point lies on or within the polygon.
165		* Very good explination of how this works: http://paulbourke.net/geometry/insidepoly/
	96	* Return 1 if point (testx, testy) lies in the interior of the polygon
	97	* determined by the vertices in vert, and return 0 otherwise.
	98	* See http://paulbourke.net/geometry/polygonmesh/ for more details.
166	99	* @param nvert the number of vertices in the polygon.
167		* @param vert the x,y-coordinates of the polygon's vertices
168		* @param testx the x-coordinate of the test point.
169		* @param testy the y-coordinate of the test point.
170		* @return 1 if on or within the bounds of the polygon, and 0 otherwise.
171		**/
172		static
173		int pnpoly(int nvert, double vert[][2], double testx, double testy){
174
175		int i,j,c = 0;
	100	* @param vert the (x, y)-coordinates of the polygon's vertices
	101	**/
	102	static int pnpoly(int nvert, double vert[][2], double testx, double testy) {
	103	int i, c = 0;
176	104	int counter = 0;
177	105	double xinters;
178		Point p1,p2;
179
180		// check for boundrary cases
181		for(i = 0; i < nvert; i++){
182		if(testx == vert[i][0] && testy == vert[i][1]){
183		return 1;
184		}
185		}
186
187		// initialize p1
	106	Point p1, p2;
	107	/* Check for boundrary cases */
	108	for (i = 0; i < nvert; i++) {
	109	if (testx == vert[i][0] && testy == vert[i][1]) {
	110	return 1;
	111	}
	112	}
188	113	p1.x = vert[0][0];
189	114	p1.y = vert[0][1];
190
191		for(i = 1; i < nvert; i++){
192		p2.x = vert[i % nvert][0];
193		p2.y = vert[i % nvert][1];
194
195		if(testy > MIN(p1.y,p2.y)){
196		if (testy <= MAX(p1.y,p2.y)) {
197		if (testx <= MAX(p1.x,p2.x)) {
198		if (p1.y != p2.y) {
199		xinters = (testy-p1.y)*(p2.x-p1.x)/(p2.y-p1.y)+p1.x;
200		if (p1.x == p2.x \|\| testx <= xinters){
201		counter++;
202		}
203		}
204		}
	115	for (i = 1; i < nvert; i++) {
	116	p2.x = vert[i % nvert][0];
	117	p2.y = vert[i % nvert][1];
	118	if (testy > MIN(p1.y, p2.y)) {
	119	if (testy <= MAX(p1.y, p2.y)) {
	120	if (testx <= MAX(p1.x, p2.x)) {
	121	if (p1.y != p2.y) {
	122	xinters = (testy-p1.y)*(p2.x-p1.x)/(p2.y-p1.y)+p1.x;
	123	if (p1.x == p2.x \|\| testx <= xinters) {
	124	counter++;
	125	}
	126	}
	127	}
	128	}
	129	}
	130	p1 = p2;
	131	}
	132	if (counter % 2 == 0) {
	133	return 0;
	134	} else {
	135	return 1;
	136	}
	137	return c;
	138	}
	139	/**
	140	* Return 1 if (x, y) lies in (the interior or boundary of) the image of the
	141	* HEALPix projection (in case proj=0) or in the image the rHEALPix projection
	142	* (in case proj=1), and return 0 otherwise.
	143	* @param north_square the position of the north polar square (rHEALPix only)
	144	* @param south_square the position of the south polar square (rHEALPix only)
	145	**/
	146	int in_image(double x, double y, int proj, int north_square, int south_square) {
	147	if (proj == 0) {
	148	double healpixVertsJit[][2] = {
	149	{-1.0*PI- EPS, PI/4.0},
	150	{-3.0*PI/4.0, PI/2.0 + EPS},
	151	{-1.0*PI/2.0, PI/4.0 + EPS},
	152	{-1.0*PI/4.0, PI/2.0 + EPS},
	153	{0.0, PI/4.0 + EPS},
	154	{PI/4.0, PI/2.0 + EPS},
	155	{PI/2.0, PI/4.0 + EPS},
	156	{3.0*PI/4.0, PI/2.0 + EPS},
	157	{PI+ EPS, PI/4.0},
	158	{PI+ EPS, -1.0*PI/4.0},
	159	{3.0PI/4.0, -1.0PI/2.0 - EPS},
	160	{PI/2.0, -1.0*PI/4.0 - EPS},
	161	{PI/4.0, -1.0*PI/2.0 - EPS},
	162	{0.0, -1.0*PI/4.0 - EPS},
	163	{-1.0PI/4.0, -1.0PI/2.0 - EPS},
	164	{-1.0PI/2.0, -1.0PI/4.0 - EPS},
	165	{-3.0PI/4.0, -1.0PI/2.0 - EPS},
	166	{-1.0PI - EPS, -1.0PI/4.0}
	167	};
	168	return pnpoly((int)sizeof(healpixVertsJit)/
	169	sizeof(healpixVertsJit[0]), healpixVertsJit, x, y);
	170	} else {
	171	double rhealpixVertsJit[][2] = {
	172	{-1.0*PI - EPS, PI/4.0 + EPS},
	173	{-1.0PI + north_squarePI/2.0- EPS, PI/4.0 + EPS},
	174	{-1.0PI + north_squarePI/2.0- EPS, 3*PI/4.0 + EPS},
	175	{-1.0PI + (north_square + 1.0)PI/2.0 + EPS, 3*PI/4.0 + EPS},
	176	{-1.0PI + (north_square + 1.0)PI/2.0 + EPS, PI/4.0 + EPS},
	177	{PI + EPS, PI/4.0 + EPS},
	178	{PI + EPS, -1.0*PI/4.0 - EPS},
	179	{-1.0PI + (south_square + 1.0)PI/2.0 + EPS, -1.0*PI/4.0 - EPS},
	180	{-1.0PI + (south_square + 1.0)PI/2.0 + EPS, -3.0*PI/4.0 - EPS},
	181	{-1.0PI + south_squarePI/2.0 - EPS, -3.0*PI/4.0 - EPS},
	182	{-1.0PI + south_squarePI/2.0 - EPS, -1.0*PI/4.0 - EPS},
	183	{-1.0PI - EPS, -1.0PI/4.0 - EPS}};
	184	return pnpoly((int)sizeof(rhealpixVertsJit)/
	185	sizeof(rhealpixVertsJit[0]), rhealpixVertsJit, x, y);
	186	}
	187	}
	188	/**
	189	* Return the authalic latitude of latitude alpha (if inverse=0) or
	190	* return the approximate latitude of authalic latitude alpha (if inverse=1).
	191	* P contains the relavent ellipsoid parameters.
	192	**/
	193	double auth_lat(PJ *P, double alpha, int inverse) {
	194	if (inverse == 0) {
	195	/* Authalic latitude. */
	196	double q = pj_qsfn(sin(alpha), P->e, 1.0 - P->es);
	197	double qp = P->qp;
	198	double ratio = q/qp;
	199	if (fabsl(ratio) > 1) {
	200	/* Rounding error. */
	201	ratio = pj_sign(ratio);
205	202	}
206		}
207		p1 = p2;
208		}
209		if(counter % 2 == 0){
210		return 0;
211		}else{
212		return 1;
213		}
214		return c;
215		}
216		/**
217		* Calculates if the coordinates are within the image of projection.
218		* @param x the x-coordinate to check.
219		* @param y the y-coordinate to check.
220		* @param proj 0 for healpix and 1 for rhealpix.
221		* @param npole the positions of the polar squares, only used for rhealpix.
222		* @param spole the positions of the polar squares, only used for rhealpix.
223		* @return 1 if the coordinate is within the projection and 0 otherwise.
224		**/
225		int in_image(double x, double y, int proj, int npole, int spole){
226		if(proj == 0){
227		double healpixVertsJit[][2] = {
228		{-1.0*PI-EPS ,PI/4.0},
229		{-3.0*PI/4.0 ,PI/2.0+EPS},
230		{-1.0*PI/2.0 ,PI/4.0+EPS},
231		{-1.0*PI/4.0 ,PI/2.0+EPS},
232		{0.0 ,PI/4.0+EPS},
233		{PI/4.0 ,PI/2.0+EPS},
234		{PI/2.0 ,PI/4.0+EPS},
235		{3.0*PI/4.0 ,PI/2.0+EPS},
236		{PI+EPS ,PI/4.0},
237		{PI+EPS ,-1.0*PI/4.0},
238		{3.0PI/4.0 ,-1.0PI/2.0-EPS},
239		{PI/2.0 ,-1.0*PI/4.0-EPS},
240		{PI/4.0 ,-1.0*PI/2.0-EPS},
241		{0.0 ,-1.0*PI/4.0-EPS},
242		{-1.0PI/4.0 ,-1.0PI/2.0-EPS},
243		{-1.0PI/2.0 ,-1.0PI/4.0-EPS},
244		{-3.0PI/4.0 ,-1.0PI/2.0-EPS},
245		{-1.0PI-EPS ,-1.0PI/4.0}};
246		return pnpoly((int)sizeof(healpixVertsJit)/sizeof(healpixVertsJit[0]),
247		healpixVertsJit,x,y);
248		}else{
249		// Used for calculating if a point is within the rHEALPix projection for sphere.
250		double rhealpixVertsJit[][2] = {
251		{-1.0*PI-EPS ,PI/4.0+EPS},
252		{-1.0PI + npolePI/2.0-EPS ,PI/4.0+EPS},
253		{-1.0PI + npolePI/2.0-EPS ,3*PI/4.0+EPS},
254		{-1.0PI + (npole + 1.0)PI/2.0+EPS ,3*PI/4.0+EPS},
255		{-1.0PI + (npole + 1.0)PI/2.0+EPS ,PI/4.0+EPS},
256		{PI+EPS ,PI/4.0+EPS},
257		{PI+EPS ,-1.0*PI/4.0-EPS},
258		{-1.0PI + (spole + 1.0)PI/2.0+EPS ,-1.0*PI/4.0-EPS},
259		{-1.0PI + (spole + 1.0)PI/2.0+EPS ,-3.0*PI/4.0-EPS},
260		{-1.0PI + spolePI/2.0-EPS ,-3.0*PI/4.0-EPS},
261		{-1.0PI + spolePI/2.0-EPS ,-1.0*PI/4.0-EPS},
262		{-1.0PI-EPS ,-1.0PI/4.0-EPS}};
263		return pnpoly((int)sizeof(rhealpixVertsJit)/sizeof(rhealpixVertsJit[0]),
264		rhealpixVertsJit,x,y);
265		}
266		}
267		/**
268		* Returns an authalic latitude of the point given a point of geographic
269		* latitude phi on an ellipse of eccentricity e.
270		* pj_authlat is the inverse of the alex's auth_lat.
271		* @param phi
272		* @param e
273		* @param inverse 1 for inverse or 0 otherwise.
274		* @return the authalic latitude of the point.
275		**/
276		double auth_lat(double phi, double e, int inverse){
277		if(inverse == 0){
278		double q_numerator = ((1.0 - pow(e,2.0)) * sin(phi));
279		double q_demonitor = (1.0 - (pow(e*sin(phi),2.0)));
280		double q_subtractor = - (1.0 - pow(e,2.0)) / (2.0e) log((1.0 - esin(phi)) / (1.0+esin(phi)));
281		double q = ((1.0 - pow(e,2.0)) * sin(phi)) / (1.0 - (pow(e*sin(phi),2.0))) -
282		(1.0 - pow(e,2.0)) / (2.0e) log((1.0 - esin(phi)) / (1.0+esin(phi)));
283
284		double qp = 1.0 - (1.0-pow(e,2.0)) / (2.0e)log((1.0 - e) / (1.0 + e));
285		double ratio = q/qp;
286		// Rounding errors
287		if( fabsl(ratio) > 1){
288		ratio = sign(ratio);
289		}
290		return asin(ratio);
291		}
292		return phi + (pow(e,2) / 3.0 + 31pow(e,4) / 180.0 + 517.0pow(e,6)/5040.0) * sin(2.0*phi)
293		+ (23.0pow(e,4)/360.0 + 251.0pow(e,6)/3780.0)sin(4.0phi)
294		+ 761.0pow(e,6)/45360.0 sin(6.0*phi);
295		}
296		/**
297		* Compute the forward signature functions of the HEALPix
298		* projection of a sphere with radius `R` and central meridian `lon0`.
	203	return asin(ratio);
	204	} else {
	205	/* Approximation to inverse authalic latitude. */
	206	return pj_authlat(alpha, P->apa);
	207	}
	208	}
	209	/**
	210	* Return the HEALPix projection of the longitude-latitude point lp on
	211	* the unit sphere.
299	212	**/
300		XY healpix_sphere(LP lp, PJ *P){
301		double lam = standardize_lon(lp.lam);
302		double phi = standardize_lat(lp.phi);
303		double phi0 = aasin(P->ctx, 2.0/3.0);
	213	XY healpix_sphere(LP lp) {
	214	double lam = lp.lam;
	215	double phi = lp.phi;
	216	double phi0 = asin(2.0/3.0);
304	217	XY xy;
305		// equatorial region
306		if( fabsl(phi) <= phi0) {
307		xy.x = lam;
308		xy.y = 3.0PI/8.0sin(phi);
309		} else {
310		double lamc;
311		double sigma = sqrt(3.0 * (1 - fabsl(sin(phi))));
312		double cn = floor(2 * lam / PI + 2);
313		if (cn >= 4) {
314		cn = 3;
315		}
316		lamc = -3PI/4 + (PI/2)cn;
317		xy.x = lamc + (lam - lamc) * sigma;
318		xy.y = sign(phi)PI/4 (2 - sigma);
319		}
320		xy.x = scale_number(xy.x,P->a,0);
321		xy.y = scale_number(xy.y,P->a,0);
	218	/* equatorial region */
	219	if ( fabsl(phi) <= phi0) {
	220	xy.x = lam;
	221	xy.y = 3.0PI/8.0sin(phi);
	222	} else {
	223	double lamc;
	224	double sigma = sqrt(3.0*(1 - fabsl(sin(phi))));
	225	double cn = floor(2*lam / PI + 2);
	226	if (cn >= 4) {
	227	cn = 3;
	228	}
	229	lamc = -3PI/4 + (PI/2)cn;
	230	xy.x = lamc + (lam - lamc)*sigma;
	231	xy.y = pj_sign(phi)PI/4(2 - sigma);
	232	}
322	233	return xy;
323	234	}
324	235	/**
325		* Compute the inverse signature functions of the HEALPix
326		* projection of a sphere with radius `R` and central meridian `lon0`.
	236	* Return the inverse of healpix_sphere().
327	237	**/
328		LP healpix_sphere_inv(XY xy, PJ *P){
329		double x,y,y0;
330		double cn;
331		double xc;
332		double tau;
	238	LP healpix_sphere_inverse(XY xy) {
333	239	LP lp;
334		// Scale down to radius 1 sphere
335		x = scale_number(xy.x,P->a,1);
336		y = scale_number(xy.y,P->a,1);
337		y0 = PI/4.0;
338		// Equatorial region.
339		if(fabsl(y) <= y0){
340		lp.lam = x;
341		lp.phi = asin(8.0y/(3.0PI));
342		} else if(fabsl(y) < PI/2.0){
343		cn = floor(2.0 * x/PI + 2.0);
344		if(cn >= 4){
345		cn = 3;
346		}
347		xc = -3.0 * PI/4.0 + (PI/2.0)*cn;
348		tau = 2.0 - 4.0*fabsl(y)/PI;
349		lp.lam = xc + (x - xc)/tau;
350		lp.phi = sign(y)*asin(1.0 - pow(tau , 2.0)/3.0);
351		} else {
352		lp.lam = -1.0*PI - P->lam0;
353		lp.phi = sign(y)*PI/2.0;
	240	double x = xy.x;
	241	double y = xy.y;
	242	double y0 = PI/4.0;
	243	/* Equatorial region. */
	244	if (fabsl(y) <= y0) {
	245	lp.lam = x;
	246	lp.phi = asin(8.0y/(3.0PI));
	247	} else if (fabsl(y) < PI/2.0) {
	248	double cn = floor(2.0*x/PI + 2.0);
	249	double xc, tau;
	250	if (cn >= 4) {
	251	cn = 3;
	252	}
	253	xc = -3.0PI/4.0 + (PI/2.0)cn;
	254	tau = 2.0 - 4.0*fabsl(y)/PI;
	255	lp.lam = xc + (x - xc)/tau;
	256	lp.phi = pj_sign(y)*asin(1.0 - pow(tau , 2.0)/3.0);
	257	} else {
	258	lp.lam = -1.0*PI;
	259	lp.phi = pj_sign(y)*PI/2.0;
354	260	}
355	261	return (lp);
356	262	}
357	263	/**
358		* Adds one vector to another of length 2.
359		* @param a the first term.
360		* @param b the second term.
361		* @param ret holds the summation of the vectors.
362		**/
363		static void vector_add(double a[], double b[],double * ret){
	264	* Return the vector sum a + b, where a and b are 2-dimensional vectors.
	265	* @param ret holds a + b.
	266	**/
	267	static void vector_add(double a[2], double b[2], double *ret) {
364	268	int i;
365		for(i = 0; i < 2; i++){
366		ret[i] = a[i] + b[i];
367		}
368		}
369		/**
370		* Subs tracts one vector from another of length 2.
371		* @param a the minuend.
372		* @param b the subtrahend.
373		* @param ret the difference of the vectors where the difference is the result of a minus b.
374		**/
375		static void vector_sub(double a[], double b[], double * ret){
	269	for(i = 0; i < 2; i++) {
	270	ret[i] = a[i] + b[i];
	271	}
	272	}
	273	/**
	274	* Return the vector difference a - b, where a and b are 2-dimensional vectors.
	275	* @param ret holds a - b.
	276	**/
	277	static void vector_sub(double a[2], double b[2], double*ret) {
376	278	int i;
377		for(i = 0; i < 2; i++){
378		ret[i] = a[i] - b[i];
379		}
380		}
381		/**
382		* Calculates the dot product of the arrays.
383		* @param a the array that will be used to calculate the dot product.
384		* Must contain the same number of columns as b's rows. Must be a matrix with equal lengthed rows and columns.
385		* @param b the array that will be used to calculate the dot product; must contain the same number of rows as a's columns.
386		* @param length the size of the b array. Note, a's column size must equal b's length.
387		* @param ret the dot product of a and b.
388		**/
389		static void dot_product(double a[2][2], double b[], double * ret){
390		int i,j;
	279	for(i = 0; i < 2; i++) {
	280	ret[i] = a[i] - b[i];
	281	}
	282	}
	283	/**
	284	* Return the 2 x 1 matrix product a*b, where a is a 2 x 2 matrix and
	285	* b is a 2 x 1 matrix.
	286	* @param ret holds a*b.
	287	**/
	288	static void dot_product(double a[2][2], double b[2], double *ret) {
	289	int i, j;
391	290	int length = 2;
392		for(i = 0; i < length; i++){
393		ret[i] = 0;
394		for(j = 0; j < length; j++){
395		ret[i] += a[i][j]*b[j];
396		}
397		}
398		}
399		/**
400		* Returns the polar cap number, pole point coordinates, and region
401		* for x,y in the HEALPix projection of the sphere of radius R.
402		* @param x coordinate in the HEALPix or rHEALPix.
403		* @param y coordinate in the HEALPix or rHEALPix.
404		* @param npole integer between 0 and 3 indicating the position of the north pole.
405		* @param spole integer between 0 and 3 indicating teh position of the south pole.
406		* @param inverse 1 computes the rHEALPix projection and 0 computes forward.
407		* @return a structure containing the cap poles.
408		**/
409		static CapMap get_cap(double x, double y, double R, int npole, int spole, int inverse){
	291	for(i = 0; i < length; i++) {
	292	ret[i] = 0;
	293	for(j = 0; j < length; j++) {
	294	ret[i] += a[i][j]*b[j];
	295	}
	296	}
	297	}
	298	/**
	299	* Return the number of the polar cap, the pole point coordinates, and
	300	* the region that (x, y) lies in.
	301	* If inverse=0, then assume (x,y) lies in the image of the HEALPix
	302	* projection of the unit sphere.
	303	* If inverse=1, then assume (x,y) lies in the image of the
	304	* (north_square, south_square)-rHEALPix projection of the unit sphere.
	305	**/
	306	static CapMap get_cap(double x, double y, int north_square, int south_square,
	307	int inverse) {
410	308	CapMap capmap;
411	309	double c;
412
413	310	capmap.x = x;
414	311	capmap.y = y;
415
416		if(inverse == 0){
417		if(y > R*PI/4.0){
418		capmap.region = north;
419		c = R*PI/2.0;
420		}else if(y < -1RPI/4.0){
421		capmap.region = south;
422		c = -1RPI/2.0;
423		}else{
424		capmap.region = equatorial;
425		capmap.cn = 0;
426		return capmap;
427		}
428		// polar region
429		if(x < -1RPI/2.0){
430		capmap.cn = 0;
431		capmap.x = (-1R3.0*PI/4.0);
432		capmap.y = c;
433		}else if(x >= -1RPI/2.0 && x < 0){
434		capmap.cn = 1;
435		capmap.x = -1RPI/4.0;
436		capmap.y = c;
437		}else if(x >= 0 && x < R*PI/2.0){
438		capmap.cn = 2;
439		capmap.x = R*PI/4.0;
440		capmap.y = c;
441		}else{
442		capmap.cn = 3;
443		capmap.x = R3.0PI/4.0;
444		capmap.y = c;
445		}
446		return capmap;
447		}else{
448		double c;
449		double eps;
450		if(y > R*PI/4.0){
451		capmap.region = north;
452		capmap.x = R(-3.0PI/4.0 + npole*PI/2.0);
453		capmap.y = R*PI/2.0;
454		x = x - npoleRPI/2.0;
455		}else if(y < -1RPI/4.0){
456		capmap.region = south;
457		capmap.x = R(-3.0PI/4.0 + spole*PI/2);
458		capmap.y = -1RPI/2.0;
459		x = x - spoleRPI/2.0;
460		}else{
461		capmap.region = equatorial;
462		capmap.cn = 0;
463		return capmap;
464		}
465		// Polar Region, find # of HEALPix polar cap number that
466		// x,y moves to when rHEALPix polar square is disassembled.
467		eps = R*1e-15; // Kludge. Fuzz to avoid some rounding errors.
468		if(capmap.region == north){
469		if(y >= -1x - RPI/4.0 - eps && y < x + R5.0PI/4.0 - eps){
470		capmap.cn = (npole + 1) % 4;
471		}else if(y > -1x -1RPI/4.0 + eps && y >= x + R5.0*PI/4.0 - eps){
472		capmap.cn = (npole + 2) % 4;
473		}else if(y <= -1x -1RPI/4.0 + eps && y > x + R5.0*PI/4.0 + eps){
474		capmap.cn = (npole + 3) % 4;
475		}else{
476		capmap.cn = npole;
477		}
478		}else if(capmap.region == south){
479		if(y <= x + RPI/4.0 + eps && y > -1x - R5.0PI/4 + eps){
480		capmap.cn = (spole + 1) % 4;
481		}else if(y < x + RPI/4.0 - eps && y <= -1x - R5.0PI/4.0 + eps){
482		capmap.cn = (spole + 2) % 4;
483		}else if(y >= x + RPI/4.0 - eps && y < -1x - R5.0PI/4.0 - eps){
484		capmap.cn = (spole + 3) % 4;
485		}else {
486		capmap.cn = spole;
487		}
488		}
489		return capmap;
490		}
491		}
492		/**
493		* Rearrange point x,y in the HEALPix projection by
	312	if (inverse == 0) {
	313	if (y > PI/4.0) {
	314	capmap.region = north;
	315	c = PI/2.0;
	316	} else if (y < -1*PI/4.0) {
	317	capmap.region = south;
	318	c = -1*PI/2.0;
	319	} else {
	320	capmap.region = equatorial;
	321	capmap.cn = 0;
	322	return capmap;
	323	}
	324	/* polar region */
	325	if (x < -1*PI/2.0) {
	326	capmap.cn = 0;
	327	capmap.x = (-13.0PI/4.0);
	328	capmap.y = c;
	329	} else if (x >= -1*PI/2.0 && x < 0) {
	330	capmap.cn = 1;
	331	capmap.x = -1*PI/4.0;
	332	capmap.y = c;
	333	} else if (x >= 0 && x < PI/2.0) {
	334	capmap.cn = 2;
	335	capmap.x = PI/4.0;
	336	capmap.y = c;
	337	} else {
	338	capmap.cn = 3;
	339	capmap.x = 3.0*PI/4.0;
	340	capmap.y = c;
	341	}
	342	return capmap;
	343	} else {
	344	double eps;
	345	if (y > PI/4.0) {
	346	capmap.region = north;
	347	capmap.x = (-3.0PI/4.0 + north_squarePI/2.0);
	348	capmap.y = PI/2.0;
	349	x = x - north_square*PI/2.0;
	350	} else if (y < -1*PI/4.0) {
	351	capmap.region = south;
	352	capmap.x = (-3.0PI/4.0 + south_squarePI/2);
	353	capmap.y = -1*PI/2.0;
	354	x = x - south_square*PI/2.0;
	355	} else {
	356	capmap.region = equatorial;
	357	capmap.cn = 0;
	358	return capmap;
	359	}
	360	/* Polar Region, find the HEALPix polar cap number that
	361	x, y moves to when rHEALPix polar square is disassembled. */
	362	eps = 1e-15; /* Kludge. Fuzz to avoid some rounding errors. */
	363	if (capmap.region == north) {
	364	if (y >= -1x - PI/4.0 - eps && y < x + 5.0PI/4.0 - eps) {
	365	capmap.cn = (north_square + 1) % 4;
	366	} else if (y > -1x -1PI/4.0 + eps && y >= x + 5.0*PI/4.0 - eps) {
	367	capmap.cn = (north_square + 2) % 4;
	368	} else if (y <= -1x -1PI/4.0 + eps && y > x + 5.0*PI/4.0 + eps) {
	369	capmap.cn = (north_square + 3) % 4;
	370	} else {
	371	capmap.cn = north_square;
	372	}
	373	} else if (capmap.region == south) {
	374	if (y <= x + PI/4.0 + eps && y > -1x - 5.0PI/4 + eps) {
	375	capmap.cn = (south_square + 1) % 4;
	376	} else if (y < x + PI/4.0 - eps && y <= -1x - 5.0PI/4.0 + eps) {
	377	capmap.cn = (south_square + 2) % 4;
	378	} else if (y >= x + PI/4.0 - eps && y < -1x - 5.0PI/4.0 - eps) {
	379	capmap.cn = (south_square + 3) % 4;
	380	} else {
	381	capmap.cn = south_square;
	382	}
	383	}
	384	return capmap;
	385	}
	386	}
	387	/**
	388	* Rearrange point (x, y) in the HEALPix projection by
494	389	* combining the polar caps into two polar squares.
495		* Put the north polar square in position npole and
496		* the south polar square in position spole.
497		* @param x coordinate in the HEALPix projection of the sphere.
498		* @param y coordinate in the HEALPix projection of the sphere.
499		* @param R - the Sphere's radius.
500		* @param npole integer between 0 and 3 indicating the position
501		* of the north polar square.
502		* @param spole integer between 0 and 3 indicating the position
503		* of the south polar square.
504		* @param inverse 1 to uncombine the polar caps and 0 to combine.
505		**/
506		static XY combine_caps(double x, double y, double R, int npole, int spole, int inverse){
	390	* Put the north polar square in position north_square and
	391	* the south polar square in position south_square.
	392	* If inverse=1, then uncombine the polar caps.
	393	* @param north_square integer between 0 and 3.
	394	* @param south_square integer between 0 and 3.
	395	**/
	396	static XY combine_caps(double x, double y, int north_square, int south_square,
	397	int inverse) {
507	398	XY xy;
508	399	double v[2];
509	400	double a[2];
510	401	double vector[2];
511		double tmpVect[2];
512	402	double v_min_c[2];
513	403	double ret_dot[2];
514		double ret_add[2];
515		CapMap capmap = get_cap(x,y,R,npole,spole,inverse);
516
517		if(capmap.region == equatorial){
518		xy.x = capmap.x;
519		xy.y = capmap.y;
520		return xy;
	404	CapMap capmap = get_cap(x, y, north_square, south_square, inverse);
	405	if (capmap.region == equatorial) {
	406	xy.x = capmap.x;
	407	xy.y = capmap.y;
	408	return xy;
521	409	}
522	410	v[0] = x;
523	411	v[1] = y;
524		if(inverse == 0){
525		// compute forward function by rotating, translating, and shifting xy.
526		int pole = 0;
527		double (*tmpRot)[2];
528		double c[2] = {capmap.x,capmap.y};
529		if(capmap.region == north){
530		pole = npole;
531		a[0] = R * (-3.0PI/4.0 + pole PI/2);
532		a[1] = R * (PI/2.0 + pole * 0);
533
534		tmpRot = rot[get_rotate_index(capmap.cn - pole)];
535		vector_sub(v,c,v_min_c);
536		dot_product(tmpRot,v_min_c,ret_dot);
537		vector_add(ret_dot, a, vector);
538
539		}else {
540		pole = spole;
541		a[0] = R * (-3.0PI/4.0 + pole PI/2);
542		a[1] = R * (PI/-2.0 + pole * 0);
543
544		tmpRot = rot[get_rotate_index(-1*(capmap.cn - pole))];
545		vector_sub(v,c,v_min_c);
546		dot_product(tmpRot,v_min_c,ret_dot);
547
548		vector_add(ret_dot, a, vector);
	412	if (inverse == 0) {
	413	/* Rotate (x, y) about its polar cap tip and then translate it to
	414	north_square or south_square. */
	415	int pole = 0;
	416	double (*tmpRot)[2];
	417	double c[2] = {capmap.x, capmap.y};
	418	if (capmap.region == north) {
	419	pole = north_square;
	420	a[0] = (-3.0PI/4.0 + polePI/2);
	421	a[1] = (PI/2.0 + pole*0);
	422	tmpRot = rot[get_rotate_index(capmap.cn - pole)];
	423	vector_sub(v, c, v_min_c);
	424	dot_product(tmpRot, v_min_c, ret_dot);
	425	vector_add(ret_dot, a, vector);
	426	} else {
	427	pole = south_square;
	428	a[0] = (-3.0PI/4.0 + polePI/2);
	429	a[1] = (PI/-2.0 + pole*0);
	430	tmpRot = rot[get_rotate_index(-1*(capmap.cn - pole))];
	431	vector_sub(v, c, v_min_c);
	432	dot_product(tmpRot, v_min_c, ret_dot);
	433	vector_add(ret_dot, a, vector);
	434	}
	435	xy.x = vector[0];
	436	xy.y = vector[1];
	437	return xy;
	438	} else {
	439	/* Inverse function.
	440	Unrotate (x, y) and then translate it back. */
	441	int pole = 0;
	442	double (*tmpRot)[2];
	443	double c[2] = {capmap.x, capmap.y};
	444	/* disassemble */
	445	if (capmap.region == north) {
	446	pole = north_square;
	447	a[0] = (-3.0PI/4.0 + capmap.cnPI/2);
	448	a[1] = (PI/2.0 + capmap.cn*0);
	449	tmpRot = rot[get_rotate_index(-1*(capmap.cn - pole))];
	450	vector_sub(v, c, v_min_c);
	451	dot_product(tmpRot, v_min_c, ret_dot);
	452	vector_add(ret_dot, a, vector);
	453	} else {
	454	pole = south_square;
	455	a[0] = (-3.0PI/4.0 + capmap.cnPI/2);
	456	a[1] = (PI/-2.0 + capmap.cn*0);
	457	tmpRot = rot[get_rotate_index(capmap.cn - pole)];
	458	vector_sub(v, c, v_min_c);
	459	dot_product(tmpRot, v_min_c, ret_dot);
	460	vector_add(ret_dot, a, vector);
	461	}
	462	xy.x = vector[0];
	463	xy.y = vector[1];
	464	return xy;
	465	}
	466	}
	467	FORWARD(s_healpix_forward); /* sphere */
	468	(void) xy;
	469	return healpix_sphere(lp);
	470	}
	471	FORWARD(e_healpix_forward); /* ellipsoid */
	472	(void) xy;
	473	lp.phi = auth_lat(P, lp.phi, 0);
	474	return healpix_sphere(lp);
	475	}
	476	INVERSE(s_healpix_inverse); /* sphere */
	477	/* Check whether (x, y) lies in the HEALPix image */
	478	if (in_image(xy.x, xy.y, 0, 0, 0) == 0) {
	479	lp.lam = HUGE_VAL;
	480	lp.phi = HUGE_VAL;
	481	pj_ctx_set_errno(P->ctx, -15);
	482	return lp;
	483	}
	484	return healpix_sphere_inverse(xy);
	485	}
	486	INVERSE(e_healpix_inverse); /* ellipsoid */
	487	/* Check whether (x, y) lies in the HEALPix image. */
	488	if (in_image(xy.x, xy.y, 0, 0, 0) == 0) {
	489	lp.lam = HUGE_VAL;
	490	lp.phi = HUGE_VAL;
	491	pj_ctx_set_errno(P->ctx, -15);
	492	return lp;
	493	}
	494	lp = healpix_sphere_inverse(xy);
	495	lp.phi = auth_lat(P, lp.phi, 1);
	496	return (lp);
	497	}
	498	FORWARD(s_rhealpix_forward); /* sphere */
	499	xy = healpix_sphere(lp);
	500	return combine_caps(xy.x, xy.y, P->north_square, P->south_square, 0);
	501	}
	502	FORWARD(e_rhealpix_forward); /* ellipsoid */
	503	lp.phi = auth_lat(P, lp.phi, 0);
	504	xy = healpix_sphere(lp);
	505	return combine_caps(xy.x, xy.y, P->north_square, P->south_square, 0);
	506	}
	507	INVERSE(s_rhealpix_inverse); /* sphere */
	508	/* Check whether (x, y) lies in the rHEALPix image. */
	509	if (in_image(xy.x, xy.y, 1, P->north_square, P->south_square) == 0) {
	510	lp.lam = HUGE_VAL;
	511	lp.phi = HUGE_VAL;
	512	pj_ctx_set_errno(P->ctx, -15);
	513	return lp;
	514	}
	515	xy = combine_caps(xy.x, xy.y, P->north_square, P->south_square, 1);
	516	return healpix_sphere_inverse(xy);
	517	}
	518	INVERSE(e_rhealpix_inverse); /* ellipsoid */
	519	/* Check whether (x, y) lies in the rHEALPix image. */
	520	if (in_image(xy.x, xy.y, 1, P->north_square, P->south_square) == 0) {
	521	lp.lam = HUGE_VAL;
	522	lp.phi = HUGE_VAL;
	523	pj_ctx_set_errno(P->ctx, -15);
	524	return lp;
	525	}
	526	xy = combine_caps(xy.x, xy.y, P->north_square, P->south_square, 1);
	527	lp = healpix_sphere_inverse(xy);
	528	lp.phi = auth_lat(P, lp.phi, 1);
	529	return lp;
	530	}
	531	FREEUP;
	532	if (P) {
	533	if (P->apa)
	534	pj_dalloc(P->apa);
	535	pj_dalloc(P);
549	536	}
550
551		xy.x = vector[0];
552		xy.y = vector[1];
553		return xy;
554		}else{
555		// compute inverse function.
556		// get the current position of rHEALPix polar squares
557		int cn;
558		int pole = 0;
559		double (*tmpRot)[2];
560		double c[2] = {capmap.x,capmap.y};
561		// disassemble
562		if(capmap.region == north){
563		pole = npole;
564		a[0] = R * (-3.0PI/4.0 + capmap.cn PI/2);
565		a[1] = R * (PI/2.0 + capmap.cn * 0);
566
567		tmpRot = rot[get_rotate_index(-1*(capmap.cn - pole))];
568		vector_sub(v,c,v_min_c);
569		dot_product(tmpRot,v_min_c,ret_dot);
570		vector_add(ret_dot, a, vector);
571
572		}else{
573		pole = spole;
574		a[0] = R * (-3.0PI/4.0 + capmap.cn PI/2);
575		a[1] = R * (PI/-2.0 + capmap.cn * 0);
576
577		tmpRot = rot[get_rotate_index(capmap.cn - pole)];
578		vector_sub(v,c,v_min_c);
579		dot_product(tmpRot,v_min_c,ret_dot);
580		vector_add(ret_dot, a, vector);
581		}
582		xy.x = vector[0];
583		xy.y = vector[1];
584		return xy;
585		}
586		}
587		FORWARD(e_healpix_forward); /* ellipsoidal */
588		//int r1[][2] = R1;
589		double bet = auth_lat(lp.phi, P->e, 0);
590		lp.phi = bet;
591		P->a = P->ra;
592		return healpix_sphere(lp,P);
593		}
594		FORWARD(s_healpix_forward); /* spheroid */
595		return healpix_sphere(lp, P);
596		}
597		INVERSE(e_healpix_inverse); /* ellipsoidal */
598		double bet, x, y;
599		P->a = P->ra;
600
601		// Scale down to radius 1 sphere before checking x,y
602		x = scale_number(xy.x,P->a,1);
603		y = scale_number(xy.y,P->a,1);
604		// check if the point is in the image
605		if(in_image(x,y,0,0,0) == 0){
606		lp.lam = HUGE_VAL;
607		lp.phi = HUGE_VAL;
608		pj_ctx_set_errno( P->ctx, -15);
609		return lp;
610		}
611
612		lp = healpix_sphere_inv(xy, P);
613
614		lp.phi = auth_lat(lp.phi,P->e,1);
615
616		return (lp);
617		}
618		INVERSE(s_healpix_inverse); /* spheroid */
619		double x = xy.x;
620		double y = xy.y;
621		// Scale down to radius 1 sphere before checking x,y
622		x = scale_number(x,P->a,1);
623		y = scale_number(y,P->a,1);
624		// check if the point is in the image
625		if(in_image(x,y,0,0,0) == 0){
626		lp.lam = HUGE_VAL;
627		lp.phi = HUGE_VAL;
628		pj_ctx_set_errno( P->ctx, -15);
629		return lp;
630		}
631		return healpix_sphere_inv(xy, P);
632		}
633		FORWARD(e_rhealpix_forward); /* ellipsoidal */
634		double bet = auth_lat(lp.phi,P->e,0);
635		lp.phi = bet;
636		xy = healpix_sphere(lp,P);
637		return combine_caps(xy.x, xy.y, P->a, P->npole, P->spole, 0);
638		}
639		FORWARD(s_rhealpix_forward); /* spheroid */
640		// Compute forward function.
641		xy = healpix_sphere(lp,P);
642		return combine_caps(xy.x, xy.y, P->a, P->npole, P->spole, 0);
643		}
644		INVERSE(e_rhealpix_inverse); /* ellipsoidal */
645		double x = scale_number(xy.x,P->a,1);
646		double y = scale_number(xy.y,P->a,1);
647		// check for out of bounds coordinates
648		if(in_image(x,y,1,P->npole,P->spole) == 0){
649		lp.lam = HUGE_VAL;
650		lp.phi = HUGE_VAL;
651		pj_ctx_set_errno( P->ctx, -15);
652		return lp;
653		}
654
655		xy = combine_caps(xy.x,xy.y,P->a,P->npole,P->spole,1);
656		lp = healpix_sphere_inv(xy, P);
657		lp.phi = auth_lat(lp.phi,P->e,1);
658		return lp;
659		}
660		INVERSE(s_rhealpix_inverse); /* spheroid */
661		double x = scale_number(xy.x,P->a,1);
662		double y = scale_number(xy.y,P->a,1);
663		// check for out of bounds coordinates
664		if(in_image(x,y,1,P->npole,P->spole) == 0){
665		lp.lam = HUGE_VAL;
666		lp.phi = HUGE_VAL;
667		pj_ctx_set_errno( P->ctx, -15);
668		return lp;
669		}
670		xy = combine_caps(xy.x,xy.y,P->a,P->npole,P->spole,1);
671		return healpix_sphere_inv(xy, P);
672		}
673		FREEUP;
674		if (P) {
675		pj_dalloc(P);
676		}
677		}
678		ENTRY0(healpix)
679		if(P->es){
680		P->inv = e_healpix_inverse; P->fwd = e_healpix_forward;
681		}else{
682		P->inv = s_healpix_inverse; P->fwd = s_healpix_forward;
	537	}
	538	ENTRY1(healpix, apa)
	539	if (P->es) {
	540	P->apa = pj_authset(P->es); /* For auth_lat(). */
	541	P->qp = pj_qsfn(1.0, P->e, P->one_es); /* For auth_lat(). */
	542	P->a = P->asqrt(0.5P->qp); /* Set P->a to authalic radius. */
	543	P->ra = 1.0/P->a;
	544	P->fwd = e_healpix_forward;
	545	P->inv = e_healpix_inverse;
	546	} else {
	547	P->fwd = s_healpix_forward;
	548	P->inv = s_healpix_inverse;
683	549	}
684	550	ENDENTRY(P)
685		ENTRY0(rhealpix)
686		P->npole = pj_param(P->ctx, P->params,"inpole").i;
687		P->spole = pj_param(P->ctx,P->params,"ispole").i;
688
689		// check for valid npole and spole inputs
690		if(P->npole < 0 \|\| P->npole > 3){
691		E_ERROR(-47);
692		}
693		if(P->spole < 0 \|\| P->spole > 3){
694		E_ERROR(-47);
695		}
696
697		if(P->es){
698		P->inv = e_rhealpix_inverse; P->fwd = e_rhealpix_forward;
699		}else{
700		P->inv = s_rhealpix_inverse; P->fwd = s_rhealpix_forward;
	551	ENTRY1(rhealpix, apa)
	552	P->north_square = pj_param(P->ctx, P->params,"inorth_square").i;
	553	P->south_square = pj_param(P->ctx, P->params,"isouth_square").i;
	554	/* Check for valid north_square and south_square inputs. */
	555	if (P->north_square < 0 \|\| P->north_square > 3) {
	556	E_ERROR(-47);
	557	}
	558	if (P->south_square < 0 \|\| P->south_square > 3) {
	559	E_ERROR(-47);
	560	}
	561	if (P->es) {
	562	P->apa = pj_authset(P->es); /* For auth_lat(). */
	563	P->qp = pj_qsfn(1.0, P->e, P->one_es); /* For auth_lat(). */
	564	P->a = P->asqrt(0.5P->qp); /* Set P->a to authalic radius. */
	565	P->ra = 1.0/P->a;
	566	P->fwd = e_rhealpix_forward;
	567	P->inv = e_rhealpix_inverse;
	568	} else {
	569	P->fwd = s_rhealpix_forward;
	570	P->inv = s_rhealpix_inverse;
701	571	}
702	572	ENDENTRY(P)

-5

src/PJ_isea.c less more

918	918	struct isea_pt v;
919	919	int sidelength;
920	920	int d, i, x, y, quad;
921		double oddsl;
922	921
923	922	quad = isea_ptdi(g, tri, pt, &v);
924	923

933	932	/* Aperture 3 odd resolutions */
934	933	if (g->aperture == 3 && g->resolution % 2 != 0) {
935	934	int offset = (int)(pow(3.0, g->resolution - 1) + 0.5);
936
937		oddsl = (pow(2.0, g->resolution) + 1.0) / 2.0;
938	935
939	936	d += offset * ((g->quad-1) % 5);
940	937	i += offset * ((g->quad-1) % 5);

978	975	struct isea_pt
979	976	isea_forward(struct isea_dgg g, struct isea_geo in)
980	977	{
981		int tri, downtri, quad;
	978	int tri, downtri;
982	979	struct isea_pt out, coord;
983	980
984	981	tri = isea_transform(g, in, &out);
985	982
986	983	downtri = (((tri - 1) / 5) % 2 == 1);
987		quad = ((tri - 1) % 5) + ((tri - 1) / 10) * 5 + 1;
988	984
989	985	if (g->output == ISEA_PLANE) {
990	986	isea_tri_plane(tri, &out, g->radius);

-0

src/PJ_ob_tran.c less more

79	79	/* copy existing header into new */
80	80	P->es = 0.; /* force to spherical */
81	81	P->link->params = P->params;
	82	P->link->ctx = P->ctx;
82	83	P->link->over = P->over;
83	84	P->link->geoc = P->geoc;
84	85	P->link->a = P->a;

+13

-4

src/PJ_omerc.c less more

47	47	F_ERROR;
48	48	v = 0.5 * P->ArB * log((1. - U)/(1. + U));
49	49	temp = cos(P->B * lp.lam);
50		u = (fabs(temp) < TOL) ? P->AB * lp.lam :
51		P->ArB * atan2((S * P->cosgam + V * P->singam) , temp);
	50	if(fabs(temp) < TOL) {
	51	u = P->A * lp.lam;
	52	} else {
	53	u = P->ArB * atan2((S * P->cosgam + V * P->singam), temp);
	54	}
52	55	} else {
53	56	v = lp.phi > 0 ? P->v_pole_n : P->v_pole_s;
54	57	u = P->ArB * lp.phi;

92	95	}
93	96	FREEUP; if (P) pj_dalloc(P); }
94	97	ENTRY0(omerc)
95		double con, com, cosph0, D, F, H, L, sinph0, p, J, gamma,
96		gamma0, lamc, lam1, lam2, phi1, phi2, alpha_c;
	98	double con, com, cosph0, D, F, H, L, sinph0, p, J, gamma=0,
	99	gamma0, lamc=0, lam1=0, lam2=0, phi1=0, phi2=0, alpha_c;
97	100	int alp, gam, no_off = 0;
98	101
99	102	P->no_rot = pj_param(P->ctx, P->params, "tno_rot").i;

108	111	pj_param(P->ctx, P->params, "tno_off").i
109	112	/* for backward compatibility */
110	113	\|\| pj_param(P->ctx, P->params, "tno_uoff").i;
	114	if( no_off )
	115	{
	116	/* Mark the parameter as used, so that the pj_get_def() return them */
	117	pj_param(P->ctx, P->params, "sno_uoff");
	118	pj_param(P->ctx, P->params, "sno_off");
	119	}
111	120	} else {
112	121	lam1 = pj_param(P->ctx, P->params, "rlon_1").f;
113	122	phi1 = pj_param(P->ctx, P->params, "rlat_1").f;

-1

src/PJ_putp3.c less more

2	2	#define PJ_LIB__
3	3	# include <projects.h>
4	4	PROJ_HEAD(putp3, "Putnins P3") "\n\tPCyl., Sph.";
5		PROJ_HEAD(putp3p, "Putnins P3'") "\n\tPCyl., no inv., Sph.";
	5	PROJ_HEAD(putp3p, "Putnins P3'") "\n\tPCyl., Sph.";
6	6	#define C 0.79788456
7	7	#define RPISQ 0.1013211836
8	8	FORWARD(s_forward); /* spheroid */

+375

-0

src/PJ_qsc.c less more

	0	/*
	1	* This implements the Quadrilateralized Spherical Cube (QSC) projection.
	2	*
	3	* Copyright (c) 2011, 2012 Martin Lambers <marlam@marlam.de>
	4	*
	5	* The QSC projection was introduced in:
	6	* [OL76]
	7	* E.M. O'Neill and R.E. Laubscher, "Extended Studies of a Quadrilateralized
	8	* Spherical Cube Earth Data Base", Naval Environmental Prediction Research
	9	* Facility Tech. Report NEPRF 3-76 (CSC), May 1976.
	10	*
	11	* The preceding shift from an ellipsoid to a sphere, which allows to apply
	12	* this projection to ellipsoids as used in the Ellipsoidal Cube Map model,
	13	* is described in
	14	* [LK12]
	15	* M. Lambers and A. Kolb, "Ellipsoidal Cube Maps for Accurate Rendering of
	16	* Planetary-Scale Terrain Data", Proc. Pacfic Graphics (Short Papers), Sep.
	17	* 2012
	18	*
	19	* You have to choose one of the following projection centers,
	20	* corresponding to the centers of the six cube faces:
	21	* phi0 = 0.0, lam0 = 0.0 ("front" face)
	22	* phi0 = 0.0, lam0 = 90.0 ("right" face)
	23	* phi0 = 0.0, lam0 = 180.0 ("back" face)
	24	* phi0 = 0.0, lam0 = -90.0 ("left" face)
	25	* phi0 = 90.0 ("top" face)
	26	* phi0 = -90.0 ("bottom" face)
	27	* Other projection centers will not work!
	28	*
	29	* In the projection code below, each cube face is handled differently.
	30	* See the computation of the face parameter in the ENTRY0(qsc) function
	31	* and the handling of different face values (FACE_*) in the forward and
	32	* inverse projections.
	33	*
	34	* Furthermore, the projection is originally only defined for theta angles
	35	* between (-1/4 * PI) and (+1/4 * PI) on the current cube face. This area
	36	* of definition is named AREA_0 in the projection code below. The other
	37	* three areas of a cube face are handled by rotation of AREA_0.
	38	*/
	39
	40	#define PROJ_PARMS__ \
	41	int face; \
	42	double a_squared; \
	43	double b; \
	44	double one_minus_f; \
	45	double one_minus_f_squared;
	46	#define PJ_LIB__
	47	#include <projects.h>
	48	PROJ_HEAD(qsc, "Quadrilateralized Spherical Cube") "\n\tAzi, Sph.";
	49	#define EPS10 1.e-10
	50
	51	/* The six cube faces. */
	52	#define FACE_FRONT 0
	53	#define FACE_RIGHT 1
	54	#define FACE_BACK 2
	55	#define FACE_LEFT 3
	56	#define FACE_TOP 4
	57	#define FACE_BOTTOM 5
	58
	59	/* The four areas on a cube face. AREA_0 is the area of definition,
	60	* the other three areas are counted counterclockwise. */
	61	#define AREA_0 0
	62	#define AREA_1 1
	63	#define AREA_2 2
	64	#define AREA_3 3
	65
	66	/* Helper function for forward projection: compute the theta angle
	67	* and determine the area number. */
	68	static double
	69	qsc_fwd_equat_face_theta(double phi, double y, double x, int *area) {
	70	double theta;
	71	if (phi < EPS10) {
	72	*area = AREA_0;
	73	theta = 0.0;
	74	} else {
	75	theta = atan2(y, x);
	76	if (fabs(theta) <= FORTPI) {
	77	*area = AREA_0;
	78	} else if (theta > FORTPI && theta <= HALFPI + FORTPI) {
	79	*area = AREA_1;
	80	theta -= HALFPI;
	81	} else if (theta > HALFPI + FORTPI \|\| theta <= -(HALFPI + FORTPI)) {
	82	*area = AREA_2;
	83	theta = (theta >= 0.0 ? theta - PI : theta + PI);
	84	} else {
	85	*area = AREA_3;
	86	theta += HALFPI;
	87	}
	88	}
	89	return (theta);
	90	}
	91
	92	/* Helper function: shift the longitude. */
	93	static double
	94	qsc_shift_lon_origin(double lon, double offset) {
	95	double slon = lon + offset;
	96	if (slon < -PI) {
	97	slon += TWOPI;
	98	} else if (slon > +PI) {
	99	slon -= TWOPI;
	100	}
	101	return slon;
	102	}
	103
	104	/* Forward projection, ellipsoid */
	105	FORWARD(e_forward);
	106	double lat, lon;
	107	double sinlat, coslat;
	108	double sinlon, coslon;
	109	double q, r, s;
	110	double theta, phi;
	111	double t, mu, nu;
	112	int area;
	113
	114	/* Convert the geodetic latitude to a geocentric latitude.
	115	* This corresponds to the shift from the ellipsoid to the sphere
	116	* described in [LK12]. */
	117	if (P->es) {
	118	lat = atan(P->one_minus_f_squared * tan(lp.phi));
	119	} else {
	120	lat = lp.phi;
	121	}
	122
	123	/* Convert the input lat, lon into theta, phi as used by QSC.
	124	* This depends on the cube face and the area on it.
	125	* For the top and bottom face, we can compute theta and phi
	126	* directly from phi, lam. For the other faces, we must use
	127	* unit sphere cartesian coordinates as an intermediate step. */
	128	lon = lp.lam;
	129	if (P->face != FACE_TOP && P->face != FACE_BOTTOM) {
	130	if (P->face == FACE_RIGHT) {
	131	lon = qsc_shift_lon_origin(lon, +HALFPI);
	132	} else if (P->face == FACE_BACK) {
	133	lon = qsc_shift_lon_origin(lon, +PI);
	134	} else if (P->face == FACE_LEFT) {
	135	lon = qsc_shift_lon_origin(lon, -HALFPI);
	136	}
	137	sinlat = sin(lat);
	138	coslat = cos(lat);
	139	sinlon = sin(lon);
	140	coslon = cos(lon);
	141	q = coslat * coslon;
	142	r = coslat * sinlon;
	143	s = sinlat;
	144	}
	145	if (P->face == FACE_FRONT) {
	146	phi = acos(q);
	147	theta = qsc_fwd_equat_face_theta(phi, s, r, &area);
	148	} else if (P->face == FACE_RIGHT) {
	149	phi = acos(r);
	150	theta = qsc_fwd_equat_face_theta(phi, s, -q, &area);
	151	} else if (P->face == FACE_BACK) {
	152	phi = acos(-q);
	153	theta = qsc_fwd_equat_face_theta(phi, s, -r, &area);
	154	} else if (P->face == FACE_LEFT) {
	155	phi = acos(-r);
	156	theta = qsc_fwd_equat_face_theta(phi, s, q, &area);
	157	} else if (P->face == FACE_TOP) {
	158	phi = HALFPI - lat;
	159	if (lon >= FORTPI && lon <= HALFPI + FORTPI) {
	160	area = AREA_0;
	161	theta = lon - HALFPI;
	162	} else if (lon > HALFPI + FORTPI \|\| lon <= -(HALFPI + FORTPI)) {
	163	area = AREA_1;
	164	theta = (lon > 0.0 ? lon - PI : lon + PI);
	165	} else if (lon > -(HALFPI + FORTPI) && lon <= -FORTPI) {
	166	area = AREA_2;
	167	theta = lon + HALFPI;
	168	} else {
	169	area = AREA_3;
	170	theta = lon;
	171	}
	172	} else /* P->face == FACE_BOTTOM */ {
	173	phi = HALFPI + lat;
	174	if (lon >= FORTPI && lon <= HALFPI + FORTPI) {
	175	area = AREA_0;
	176	theta = -lon + HALFPI;
	177	} else if (lon < FORTPI && lon >= -FORTPI) {
	178	area = AREA_1;
	179	theta = -lon;
	180	} else if (lon < -FORTPI && lon >= -(HALFPI + FORTPI)) {
	181	area = AREA_2;
	182	theta = -lon - HALFPI;
	183	} else {
	184	area = AREA_3;
	185	theta = (lon > 0.0 ? -lon + PI : -lon - PI);
	186	}
	187	}
	188
	189	/* Compute mu and nu for the area of definition.
	190	* For mu, see Eq. (3-21) in [OL76], but note the typos:
	191	* compare with Eq. (3-14). For nu, see Eq. (3-38). */
	192	mu = atan((12.0 / PI) * (theta + acos(sin(theta) * cos(FORTPI)) - HALFPI));
	193	t = sqrt((1.0 - cos(phi)) / (cos(mu) * cos(mu)) / (1.0 - cos(atan(1.0 / cos(theta)))));
	194	/* nu = atan(t); We don't really need nu, just t, see below. */
	195
	196	/* Apply the result to the real area. */
	197	if (area == AREA_1) {
	198	mu += HALFPI;
	199	} else if (area == AREA_2) {
	200	mu += PI;
	201	} else if (area == AREA_3) {
	202	mu += HALFPI + PI;
	203	}
	204
	205	/* Now compute x, y from mu and nu */
	206	/* t = tan(nu); */
	207	xy.x = t * cos(mu);
	208	xy.y = t * sin(mu);
	209	return (xy);
	210	}
	211
	212	/* Inverse projection, ellipsoid */
	213	INVERSE(e_inverse);
	214	double mu, nu, cosmu, tannu;
	215	double tantheta, theta, cosphi, phi;
	216	double t;
	217	int area;
	218
	219	/* Convert the input x, y to the mu and nu angles as used by QSC.
	220	* This depends on the area of the cube face. */
	221	nu = atan(sqrt(xy.x * xy.x + xy.y * xy.y));
	222	mu = atan2(xy.y, xy.x);
	223	if (xy.x >= 0.0 && xy.x >= fabs(xy.y)) {
	224	area = AREA_0;
	225	} else if (xy.y >= 0.0 && xy.y >= fabs(xy.x)) {
	226	area = AREA_1;
	227	mu -= HALFPI;
	228	} else if (xy.x < 0.0 && -xy.x >= fabs(xy.y)) {
	229	area = AREA_2;
	230	mu = (mu < 0.0 ? mu + PI : mu - PI);
	231	} else {
	232	area = AREA_3;
	233	mu += HALFPI;
	234	}
	235
	236	/* Compute phi and theta for the area of definition.
	237	* The inverse projection is not described in the original paper, but some
	238	* good hints can be found here (as of 2011-12-14):
	239	* http://fits.gsfc.nasa.gov/fitsbits/saf.93/saf.9302
	240	* (search for "Message-Id: <9302181759.AA25477 at fits.cv.nrao.edu>") */
	241	t = (PI / 12.0) * tan(mu);
	242	tantheta = sin(t) / (cos(t) - (1.0 / sqrt(2.0)));
	243	theta = atan(tantheta);
	244	cosmu = cos(mu);
	245	tannu = tan(nu);
	246	cosphi = 1.0 - cosmu * cosmu * tannu * tannu * (1.0 - cos(atan(1.0 / cos(theta))));
	247	if (cosphi < -1.0) {
	248	cosphi = -1.0;
	249	} else if (cosphi > +1.0) {
	250	cosphi = +1.0;
	251	}
	252
	253	/* Apply the result to the real area on the cube face.
	254	* For the top and bottom face, we can compute phi and lam directly.
	255	* For the other faces, we must use unit sphere cartesian coordinates
	256	* as an intermediate step. */
	257	if (P->face == FACE_TOP) {
	258	phi = acos(cosphi);
	259	lp.phi = HALFPI - phi;
	260	if (area == AREA_0) {
	261	lp.lam = theta + HALFPI;
	262	} else if (area == AREA_1) {
	263	lp.lam = (theta < 0.0 ? theta + PI : theta - PI);
	264	} else if (area == AREA_2) {
	265	lp.lam = theta - HALFPI;
	266	} else /* area == AREA_3 */ {
	267	lp.lam = theta;
	268	}
	269	} else if (P->face == FACE_BOTTOM) {
	270	phi = acos(cosphi);
	271	lp.phi = phi - HALFPI;
	272	if (area == AREA_0) {
	273	lp.lam = -theta + HALFPI;
	274	} else if (area == AREA_1) {
	275	lp.lam = -theta;
	276	} else if (area == AREA_2) {
	277	lp.lam = -theta - HALFPI;
	278	} else /* area == AREA_3 */ {
	279	lp.lam = (theta < 0.0 ? -theta - PI : -theta + PI);
	280	}
	281	} else {
	282	/* Compute phi and lam via cartesian unit sphere coordinates. */
	283	double q, r, s, t;
	284	q = cosphi;
	285	t = q * q;
	286	if (t >= 1.0) {
	287	s = 0.0;
	288	} else {
	289	s = sqrt(1.0 - t) * sin(theta);
	290	}
	291	t += s * s;
	292	if (t >= 1.0) {
	293	r = 0.0;
	294	} else {
	295	r = sqrt(1.0 - t);
	296	}
	297	/* Rotate q,r,s into the correct area. */
	298	if (area == AREA_1) {
	299	t = r;
	300	r = -s;
	301	s = t;
	302	} else if (area == AREA_2) {
	303	r = -r;
	304	s = -s;
	305	} else if (area == AREA_3) {
	306	t = r;
	307	r = s;
	308	s = -t;
	309	}
	310	/* Rotate q,r,s into the correct cube face. */
	311	if (P->face == FACE_RIGHT) {
	312	t = q;
	313	q = -r;
	314	r = t;
	315	} else if (P->face == FACE_BACK) {
	316	q = -q;
	317	r = -r;
	318	} else if (P->face == FACE_LEFT) {
	319	t = q;
	320	q = r;
	321	r = -t;
	322	}
	323	/* Now compute phi and lam from the unit sphere coordinates. */
	324	lp.phi = acos(-s) - HALFPI;
	325	lp.lam = atan2(r, q);
	326	if (P->face == FACE_RIGHT) {
	327	lp.lam = qsc_shift_lon_origin(lp.lam, -HALFPI);
	328	} else if (P->face == FACE_BACK) {
	329	lp.lam = qsc_shift_lon_origin(lp.lam, -PI);
	330	} else if (P->face == FACE_LEFT) {
	331	lp.lam = qsc_shift_lon_origin(lp.lam, +HALFPI);
	332	}
	333	}
	334
	335	/* Apply the shift from the sphere to the ellipsoid as described
	336	* in [LK12]. */
	337	if (P->es) {
	338	int invert_sign;
	339	double tanphi, xa;
	340	invert_sign = (lp.phi < 0.0 ? 1 : 0);
	341	tanphi = tan(lp.phi);
	342	xa = P->b / sqrt(tanphi * tanphi + P->one_minus_f_squared);
	343	lp.phi = atan(sqrt(P->a * P->a - xa * xa) / (P->one_minus_f * xa));
	344	if (invert_sign) {
	345	lp.phi = -lp.phi;
	346	}
	347	}
	348	return (lp);
	349	}
	350	FREEUP; if (P) pj_dalloc(P); }
	351	ENTRY0(qsc)
	352	P->inv = e_inverse;
	353	P->fwd = e_forward;
	354	/* Determine the cube face from the center of projection. */
	355	if (P->phi0 >= HALFPI - FORTPI / 2.0) {
	356	P->face = FACE_TOP;
	357	} else if (P->phi0 <= -(HALFPI - FORTPI / 2.0)) {
	358	P->face = FACE_BOTTOM;
	359	} else if (fabs(P->lam0) <= FORTPI) {
	360	P->face = FACE_FRONT;
	361	} else if (fabs(P->lam0) <= HALFPI + FORTPI) {
	362	P->face = (P->lam0 > 0.0 ? FACE_RIGHT : FACE_LEFT);
	363	} else {
	364	P->face = FACE_BACK;
	365	}
	366	/* Fill in useful values for the ellipsoid <-> sphere shift
	367	* described in [LK12]. */
	368	if (P->es) {
	369	P->a_squared = P->a * P->a;
	370	P->b = P->a * sqrt(1.0 - P->es);
	371	P->one_minus_f = 1.0 - (P->a - P->b) / P->a;
	372	P->one_minus_f_squared = P->one_minus_f * P->one_minus_f;
	373	}
	374	ENDENTRY(P)

+55

-42

src/PJ_robin.c less more

2	2	PROJ_HEAD(robin, "Robinson") "\n\tPCyl., Sph.";
3	3	#define V(C,z) (C.c0 + z * (C.c1 + z * (C.c2 + z * C.c3)))
4	4	#define DV(C,z) (C.c1 + z * (C.c2 + C.c2 + z * 3. * C.c3))
5		/* note: following terms based upon 5 deg. intervals in degrees. */
6		static struct COEFS {
	5
	6	/*
	7	note: following terms based upon 5 deg. intervals in degrees.
	8
	9	Some background on these coefficients is available at:
	10
	11	http://article.gmane.org/gmane.comp.gis.proj-4.devel/6039
	12	http://trac.osgeo.org/proj/ticket/113
	13	*/
	14
	15	struct COEFS {
7	16	float c0, c1, c2, c3;
8		} X[] = {
9		{1, -5.67239e-12, -7.15511e-05, 3.11028e-06},
10		{0.9986, -0.000482241, -2.4897e-05, -1.33094e-06},
11		{0.9954, -0.000831031, -4.4861e-05, -9.86588e-07},
12		{0.99, -0.00135363, -5.96598e-05, 3.67749e-06},
13		{0.9822, -0.00167442, -4.4975e-06, -5.72394e-06},
14		{0.973, -0.00214869, -9.03565e-05, 1.88767e-08},
15		{0.96, -0.00305084, -9.00732e-05, 1.64869e-06},
16		{0.9427, -0.00382792, -6.53428e-05, -2.61493e-06},
17		{0.9216, -0.00467747, -0.000104566, 4.8122e-06},
18		{0.8962, -0.00536222, -3.23834e-05, -5.43445e-06},
19		{0.8679, -0.00609364, -0.0001139, 3.32521e-06},
20		{0.835, -0.00698325, -6.40219e-05, 9.34582e-07},
21		{0.7986, -0.00755337, -5.00038e-05, 9.35532e-07},
22		{0.7597, -0.00798325, -3.59716e-05, -2.27604e-06},
23		{0.7186, -0.00851366, -7.0112e-05, -8.63072e-06},
24		{0.6732, -0.00986209, -0.000199572, 1.91978e-05},
25		{0.6213, -0.010418, 8.83948e-05, 6.24031e-06},
26		{0.5722, -0.00906601, 0.000181999, 6.24033e-06},
27		{0.5322, 0.,0.,0.} },
28		Y[] = {
29		{0, 0.0124, 3.72529e-10, 1.15484e-09},
30		{0.062, 0.0124001, 1.76951e-08, -5.92321e-09},
31		{0.124, 0.0123998, -7.09668e-08, 2.25753e-08},
32		{0.186, 0.0124008, 2.66917e-07, -8.44523e-08},
33		{0.248, 0.0123971, -9.99682e-07, 3.15569e-07},
34		{0.31, 0.0124108, 3.73349e-06, -1.1779e-06},
35		{0.372, 0.0123598, -1.3935e-05, 4.39588e-06},
36		{0.434, 0.0125501, 5.20034e-05, -1.00051e-05},
37		{0.4958, 0.0123198, -9.80735e-05, 9.22397e-06},
38		{0.5571, 0.0120308, 4.02857e-05, -5.2901e-06},
39		{0.6176, 0.0120369, -3.90662e-05, 7.36117e-07},
40		{0.6769, 0.0117015, -2.80246e-05, -8.54283e-07},
41		{0.7346, 0.0113572, -4.08389e-05, -5.18524e-07},
42		{0.7903, 0.0109099, -4.86169e-05, -1.0718e-06},
43		{0.8435, 0.0103433, -6.46934e-05, 5.36384e-09},
44		{0.8936, 0.00969679, -6.46129e-05, -8.54894e-06},
45		{0.9394, 0.00840949, -0.000192847, -4.21023e-06},
46		{0.9761, 0.00616525, -0.000256001, -4.21021e-06},
47		{1., 0.,0.,0} };
	17	};
	18
	19	static const struct COEFS X[] = {
	20	{1, 2.2199e-17, -7.15515e-05, 3.1103e-06},
	21	{0.9986, -0.000482243, -2.4897e-05, -1.3309e-06},
	22	{0.9954, -0.00083103, -4.48605e-05, -9.86701e-07},
	23	{0.99, -0.00135364, -5.9661e-05, 3.6777e-06},
	24	{0.9822, -0.00167442, -4.49547e-06, -5.72411e-06},
	25	{0.973, -0.00214868, -9.03571e-05, 1.8736e-08},
	26	{0.96, -0.00305085, -9.00761e-05, 1.64917e-06},
	27	{0.9427, -0.00382792, -6.53386e-05, -2.6154e-06},
	28	{0.9216, -0.00467746, -0.00010457, 4.81243e-06},
	29	{0.8962, -0.00536223, -3.23831e-05, -5.43432e-06},
	30	{0.8679, -0.00609363, -0.000113898, 3.32484e-06},
	31	{0.835, -0.00698325, -6.40253e-05, 9.34959e-07},
	32	{0.7986, -0.00755338, -5.00009e-05, 9.35324e-07},
	33	{0.7597, -0.00798324, -3.5971e-05, -2.27626e-06},
	34	{0.7186, -0.00851367, -7.01149e-05, -8.6303e-06},
	35	{0.6732, -0.00986209, -0.000199569, 1.91974e-05},
	36	{0.6213, -0.010418, 8.83923e-05, 6.24051e-06},
	37	{0.5722, -0.00906601, 0.000182, 6.24051e-06},
	38	{0.5322, -0.00677797, 0.000275608, 6.24051e-06}
	39	};
	40	static const struct COEFS Y[] = {
	41	{-5.20417e-18, 0.0124, 1.21431e-18, -8.45284e-11},
	42	{0.062, 0.0124, -1.26793e-09, 4.22642e-10},
	43	{0.124, 0.0124, 5.07171e-09, -1.60604e-09},
	44	{0.186, 0.0123999, -1.90189e-08, 6.00152e-09},
	45	{0.248, 0.0124002, 7.10039e-08, -2.24e-08},
	46	{0.31, 0.0123992, -2.64997e-07, 8.35986e-08},
	47	{0.372, 0.0124029, 9.88983e-07, -3.11994e-07},
	48	{0.434, 0.0123893, -3.69093e-06, -4.35621e-07},
	49	{0.4958, 0.0123198, -1.02252e-05, -3.45523e-07},
	50	{0.5571, 0.0121916, -1.54081e-05, -5.82288e-07},
	51	{0.6176, 0.0119938, -2.41424e-05, -5.25327e-07},
	52	{0.6769, 0.011713, -3.20223e-05, -5.16405e-07},
	53	{0.7346, 0.0113541, -3.97684e-05, -6.09052e-07},
	54	{0.7903, 0.0109107, -4.89042e-05, -1.04739e-06},
	55	{0.8435, 0.0103431, -6.4615e-05, -1.40374e-09},
	56	{0.8936, 0.00969686, -6.4636e-05, -8.547e-06},
	57	{0.9394, 0.00840947, -0.000192841, -4.2106e-06},
	58	{0.9761, 0.00616527, -0.000256, -4.2106e-06},
	59	{1, 0.00328947, -0.000319159, -4.2106e-06}
	60	};
48	61	#define FXC 0.8487
49	62	#define FYC 1.3523
50	63	#define C1 11.45915590261646417544

-1

src/PJ_urm5.c less more

1	1	double m, rmn, q3, n;
2	2	#define PJ_LIB__
3	3	# include <projects.h>
4		PROJ_HEAD(urm5, "Urmaev V") "\n\tPCyl., Sph.\n\tn= q= alphi=";
	4	PROJ_HEAD(urm5, "Urmaev V") "\n\tPCyl., Sph., no inv.\n\tn= q= alpha=";
5	5	FORWARD(s_forward); /* spheroid */
6	6	double t;
7	7

-0

src/README less more

	0	all the files here are directly copied from proj svn, except for PJ_hammer.c
	1	which is patched to enable the inverse transform.
	2
	3	Currently up-to-date with r2406 proj svn (20131105).

-4

src/geod_interface.c less more

1	1	#include "geod_interface.h"
2	2
3	3	void geod_ini(void) {
4		GeodesicInit(&GlobalGeodesic, geod_a, geod_f);
	4	geod_init(&GlobalGeodesic, geod_a, geod_f);
5	5	}
6	6
7	7	void geod_pre(void) {
8	8	double
9	9	degree = PI/180,
10	10	lat1 = phi1 / degree, lon1 = lam1 /degree, azi1 = al12 / degree;
11		GeodesicLineInit(&GlobalGeodesicLine, &GlobalGeodesic,
	11	geod_lineinit(&GlobalGeodesicLine, &GlobalGeodesic,
12	12	lat1, lon1, azi1, 0U);
13	13	}
14	14
15	15	void geod_for(void) {
16	16	double degree = PI/180, s12 = geod_S, lat2, lon2, azi2;
17		Position(&GlobalGeodesicLine, s12, &lat2, &lon2, &azi2);
	17	geod_position(&GlobalGeodesicLine, s12, &lat2, &lon2, &azi2);
18	18	azi2 += azi2 >= 0 ? -180 : 180; /* Compute back azimuth */
19	19	phi2 = lat2 * degree;
20	20	lam2 = lon2 * degree;

27	27	lat1 = phi1 / degree, lon1 = lam1 / degree,
28	28	lat2 = phi2 / degree, lon2 = lam2 / degree,
29	29	azi1, azi2, s12;
30		Inverse(&GlobalGeodesic, lat1, lon1, lat2, lon2, &s12, &azi1, &azi2);
	30	geod_inverse(&GlobalGeodesic, lat1, lon1, lat2, lon2, &s12, &azi1, &azi2);
31	31	azi2 += azi2 >= 0 ? -180 : 180; /* Compute back azimuth */
32	32	al12 = azi1 * degree; al21 = azi2 * degree; geod_S = s12;
33	33	}

-2

src/geod_interface.h less more

26	26	# define al21 GEODESIC.ALPHA21
27	27	# define geod_S GEODESIC.DIST
28	28
29		GEOD_EXTERN struct Geodesic GlobalGeodesic;
30		GEOD_EXTERN struct GeodesicLine GlobalGeodesicLine;
	29	GEOD_EXTERN struct geod_geodesic GlobalGeodesic;
	30	GEOD_EXTERN struct geod_geodesicline GlobalGeodesicLine;
31	31	GEOD_EXTERN int n_alpha, n_S;
32	32	GEOD_EXTERN double to_meter, fr_meter, del_alpha;
33	33

+478

-169

src/geodesic.c less more

	0	/**
	1	* \file geodesic.c
	2	* \brief Implementation of the geodesic routines in C
	3	*
	4	* For the full documentation see geodesic.h.
	5	**********************************************************************/
	6
	7	/** @cond SKIP */
	8
0	9	/*
1	10	* This is a C implementation of the geodesic algorithms described in
2	11	*
3		* C. F. F. Karney
4		* Algorithms for geodesics
5		* J. Geodesy (2012)
	12	* C. F. F. Karney,
	13	* Algorithms for geodesics,
	14	* J. Geodesy <b>87</b>, 43--55 (2013);
6	15	* http://dx.doi.org/10.1007/s00190-012-0578-z
7	16	* Addenda: http://geographiclib.sf.net/geod-addenda.html
8	17	*
9	18	* See the comments in geodesic.h for documentation.
10	19	*
11		* Copyright (c) Charles Karney (2012) <charles@karney.com> and licensed
	20	* Copyright (c) Charles Karney (2012-2013) <charles@karney.com> and licensed
12	21	* under the MIT/X11 License. For more information, see
13	22	* http://geographiclib.sourceforge.net/
14		*
15		* This file was distributed with GeographicLib 1.27.
16	23	*/
17	24
18	25	#include "geodesic.h"

116	123	return x < 0 ? -y : y;
117	124	}
118	125
	126	static real sumx(real u, real v, real* t) {
	127	volatile real s = u + v;
	128	volatile real up = s - v;
	129	volatile real vpp = s - up;
	130	up -= u;
	131	vpp -= v;
	132	*t = -(up + vpp);
	133	/* error-free sum:
	134	* u + v = s + t
	135	* = round(u + v) + t */
	136	return s;
	137	}
	138
119	139	static real minx(real x, real y)
120	140	{ return x < y ? x : y; }
121	141

136	156	static real AngNormalize2(real x)
137	157	{ return AngNormalize(fmod(x, (real)(360))); }
138	158
	159	static real AngDiff(real x, real y) {
	160	real t, d = sumx(-x, y, &t);
	161	if ((d - (real)(180)) + t > (real)(0)) /* y - x > 180 */
	162	d -= (real)(360); /* exact */
	163	else if ((d + (real)(180)) + t <= (real)(0)) /* y - x <= -180 */
	164	d += (real)(360); /* exact */
	165	return d + t;
	166	}
	167
139	168	static real AngRound(real x) {
140		const real z = (real)(0.0625); /* 1/16 */
	169	const real z = 1/(real)(16);
141	170	volatile real y = fabs(x);
142	171	/* The compiler mustn't "simplify" z - (z - y) to y */
143	172	y = y < z ? z - (z - y) : y;
144	173	return x < 0 ? -y : y;
145	174	}
146	175
147		static void A3coeff(struct Geodesic* g);
148		static void C3coeff(struct Geodesic* g);
149		static void C4coeff(struct Geodesic* g);
	176	static void A3coeff(struct geod_geodesic* g);
	177	static void C3coeff(struct geod_geodesic* g);
	178	static void C4coeff(struct geod_geodesic* g);
150	179	static real SinCosSeries(boolx sinp,
151	180	real sinx, real cosx,
152	181	const real c[], int n);
153		static void Lengths(const struct Geodesic* g,
	182	static void Lengths(const struct geod_geodesic* g,
154	183	real eps, real sig12,
155	184	real ssig1, real csig1, real dn1,
156	185	real ssig2, real csig2, real dn2,

160	189	/* Scratch areas of the right size */
161	190	real C1a[], real C2a[]);
162	191	static real Astroid(real x, real y);
163		static real InverseStart(const struct Geodesic* g,
	192	static real InverseStart(const struct geod_geodesic* g,
164	193	real sbet1, real cbet1, real dn1,
165	194	real sbet2, real cbet2, real dn2,
166	195	real lam12,
167	196	real* psalp1, real* pcalp1,
168	197	/* Only updated if return val >= 0 */
169	198	real* psalp2, real* pcalp2,
	199	/* Only updated for short lines */
	200	real* pdnm,
170	201	/* Scratch areas of the right size */
171	202	real C1a[], real C2a[]);
172		static real Lambda12(const struct Geodesic* g,
	203	static real Lambda12(const struct geod_geodesic* g,
173	204	real sbet1, real cbet1, real dn1,
174	205	real sbet2, real cbet2, real dn2,
175	206	real salp1, real calp1,

181	212	boolx diffp, real* pdlam12,
182	213	/* Scratch areas of the right size */
183	214	real C1a[], real C2a[], real C3a[]);
184		static real A3f(const struct Geodesic* g, real eps);
185		static void C3f(const struct Geodesic* g, real eps, real c[]);
186		static void C4f(const struct Geodesic* g, real eps, real c[]);
	215	static real A3f(const struct geod_geodesic* g, real eps);
	216	static void C3f(const struct geod_geodesic* g, real eps, real c[]);
	217	static void C4f(const struct geod_geodesic* g, real eps, real c[]);
187	218	static real A1m1f(real eps);
188	219	static void C1f(real eps, real c[]);
189	220	static void C1pf(real eps, real c[]);
190	221	static real A2m1f(real eps);
191	222	static void C2f(real eps, real c[]);
192
193		void GeodesicInit(struct Geodesic* g, real a, real f) {
	223	static int transit(real lon1, real lon2);
	224	static void accini(real s[]);
	225	static void acccopy(const real s[], real t[]);
	226	static void accadd(real s[], real y);
	227	static real accsum(const real s[], real y);
	228	static void accneg(real s[]);
	229
	230	void geod_init(struct geod_geodesic* g, real a, real f) {
194	231	if (!init) Init();
195	232	g->a = a;
196	233	g->f = f <= 1 ? f : 1/f;

203	240	(g->e2 == 0 ? 1 :
204	241	(g->e2 > 0 ? atanhx(sqrt(g->e2)) : atan(sqrt(-g->e2))) /
205	242	sqrt(fabs(g->e2))))/2; /* authalic radius squared */
206		/* The sig12 threshold for "really short" */
207		g->etol2 = 0.01 * tol2 / maxx((real)(0.1), sqrt(fabs(g->e2)));
	243	/* The sig12 threshold for "really short". Using the auxiliary sphere
	244	* solution with dnm computed at (bet1 + bet2) / 2, the relative error in the
	245	* azimuth consistency check is sig12^2 * abs(f) * min(1, 1-f/2) / 2. (Error
	246	* measured for 1/100 < b/a < 100 and abs(f) >= 1/1000. For a given f and
	247	* sig12, the max error occurs for lines near the pole. If the old rule for
	248	* computing dnm = (dn1 + dn2)/2 is used, then the error increases by a
	249	* factor of 2.) Setting this equal to epsilon gives sig12 = etol2. Here
	250	* 0.1 is a safety factor (error decreased by 100) and max(0.001, abs(f))
	251	* stops etol2 getting too large in the nearly spherical case. */
	252	g->etol2 = 0.1 * tol2 /
	253	sqrt( maxx((real)(0.001), fabs(g->f)) * minx((real)(1), 1 - g->f/2) / 2 );
	254
208	255	A3coeff(g);
209	256	C3coeff(g);
210	257	C4coeff(g);
211	258	}
212	259
213		void GeodesicLineInit(struct GeodesicLine* l,
214		const struct Geodesic* g,
215		real lat1, real lon1, real azi1, unsigned caps) {
	260	void geod_lineinit(struct geod_geodesicline* l,
	261	const struct geod_geodesic* g,
	262	real lat1, real lon1, real azi1, unsigned caps) {
216	263	real alp1, cbet1, sbet1, phi, eps;
217	264	l->a = g->a;
218	265	l->f = g->f;

220	267	l->c2 = g->c2;
221	268	l->f1 = g->f1;
222	269	/* If caps is 0 assume the standard direct calculation */
223		l->caps = (caps ? caps : DISTANCE_IN \| LONGITUDE) \|
224		LATITUDE \| AZIMUTH; /* Always allow latitude and azimuth */
225
226		azi1 = AngNormalize(azi1);
	270	l->caps = (caps ? caps : GEOD_DISTANCE_IN \| GEOD_LONGITUDE) \|
	271	GEOD_LATITUDE \| GEOD_AZIMUTH; /* Always allow latitude and azimuth */
	272
	273	/* Guard against underflow in salp0 */
	274	azi1 = AngRound(AngNormalize(azi1));
227	275	lon1 = AngNormalize(lon1);
228		if (lat1 == 90) {
229		lon1 += lon1 < 0 ? 180 : -180;
230		lon1 = AngNormalize(lon1 - azi1);
231		azi1 = -180;
232		} else if (lat1 == -90) {
233		lon1 = AngNormalize(lon1 + azi1);
234		azi1 = 0;
235		} else {
236		/* Guard against underflow in salp0 */
237		azi1 = AngRound(azi1);
238		}
239
240	276	l->lat1 = lat1;
241	277	l->lon1 = lon1;
242	278	l->azi1 = azi1;

244	280	alp1 = azi1 * degree;
245	281	/* Enforce sin(pi) == 0 and cos(pi/2) == 0. Better to face the ensuing
246	282	* problems directly than to skirt them. */
247		l->salp1 = azi1 == -180 ? 0 : sin(alp1);
	283	l->salp1 = azi1 == -180 ? 0 : sin(alp1);
248	284	l->calp1 = fabs(azi1) == 90 ? 0 : cos(alp1);
249	285	phi = lat1 * degree;
250	286	/* Ensure cbet1 = +epsilon at poles */

311	347	}
312	348	}
313	349
314		real GenPosition(const struct GeodesicLine* l,
315		boolx arcmode, real s12_a12,
316		real* plat2, real* plon2, real* pazi2,
317		real* ps12, real* pm12,
318		real* pM12, real* pM21,
319		real* pS12) {
	350	real geod_genposition(const struct geod_geodesicline* l,
	351	boolx arcmode, real s12_a12,
	352	real* plat2, real* plon2, real* pazi2,
	353	real* ps12, real* pm12,
	354	real* pM12, real* pM21,
	355	real* pS12) {
320	356	real lat2 = 0, lon2 = 0, azi2 = 0, s12 = 0,
321	357	m12 = 0, M12 = 0, M21 = 0, S12 = 0;
322	358	/* Avoid warning about uninitialized B12. */

324	360	real omg12, lam12, lon12;
325	361	real ssig2, csig2, sbet2, cbet2, somg2, comg2, salp2, calp2, dn2;
326	362	unsigned outmask =
327		(plat2 ? LATITUDE : 0U) \|
328		(plon2 ? LONGITUDE : 0U) \|
329		(pazi2 ? AZIMUTH : 0U) \|
330		(ps12 ? DISTANCE : 0U) \|
331		(pm12 ? REDUCEDLENGTH : 0U) \|
332		(pM12 \|\| pM21 ? GEODESICSCALE : 0U) \|
333		(pS12 ? AREA : 0U);
	363	(plat2 ? GEOD_LATITUDE : 0U) \|
	364	(plon2 ? GEOD_LONGITUDE : 0U) \|
	365	(pazi2 ? GEOD_AZIMUTH : 0U) \|
	366	(ps12 ? GEOD_DISTANCE : 0U) \|
	367	(pm12 ? GEOD_REDUCEDLENGTH : 0U) \|
	368	(pM12 \|\| pM21 ? GEOD_GEODESICSCALE : 0U) \|
	369	(pS12 ? GEOD_AREA : 0U);
334	370
335	371	outmask &= l->caps & OUT_ALL;
336		if (!( TRUE /Init()/ && (arcmode \|\| (l->caps & DISTANCE_IN & OUT_ALL)) ))
	372	if (!( TRUE /Init()/ &&
	373	(arcmode \|\| (l->caps & GEOD_DISTANCE_IN & OUT_ALL)) ))
337	374	/* Uninitialized or impossible distance calculation requested */
338	375	return NaN;
339	376

396	433	ssig2 = l->ssig1 * csig12 + l->csig1 * ssig12;
397	434	csig2 = l->csig1 * csig12 - l->ssig1 * ssig12;
398	435	dn2 = sqrt(1 + l->k2 * sq(ssig2));
399		if (outmask & (DISTANCE \| REDUCEDLENGTH \| GEODESICSCALE)) {
	436	if (outmask & (GEOD_DISTANCE \| GEOD_REDUCEDLENGTH \| GEOD_GEODESICSCALE)) {
400	437	if (arcmode \|\| fabs(l->f) > 0.01)
401	438	B12 = SinCosSeries(TRUE, ssig2, csig2, l->C1a, nC1);
402	439	AB1 = (1 + l->A1m1) * (B12 - l->B11);

416	453	omg12 = atan2(somg2 * l->comg1 - comg2 * l->somg1,
417	454	comg2 * l->comg1 + somg2 * l->somg1);
418	455
419		if (outmask & DISTANCE)
	456	if (outmask & GEOD_DISTANCE)
420	457	s12 = arcmode ? l->b * ((1 + l->A1m1) * sig12 + AB1) : s12_a12;
421	458
422		if (outmask & LONGITUDE) {
	459	if (outmask & GEOD_LONGITUDE) {
423	460	lam12 = omg12 + l->A3c *
424	461	( sig12 + (SinCosSeries(TRUE, ssig2, csig2, l->C3a, nC3-1)
425	462	- l->B31));

430	467	lon2 = AngNormalize(l->lon1 + lon12);
431	468	}
432	469
433		if (outmask & LATITUDE)
	470	if (outmask & GEOD_LATITUDE)
434	471	lat2 = atan2(sbet2, l->f1 * cbet2) / degree;
435	472
436		if (outmask & AZIMUTH)
	473	if (outmask & GEOD_AZIMUTH)
437	474	/* minus signs give range [-180, 180). 0- converts -0 to +0. */
438	475	azi2 = 0 - atan2(-salp2, calp2) / degree;
439	476
440		if (outmask & (REDUCEDLENGTH \| GEODESICSCALE)) {
	477	if (outmask & (GEOD_REDUCEDLENGTH \| GEOD_GEODESICSCALE)) {
441	478	real
442	479	B22 = SinCosSeries(TRUE, ssig2, csig2, l->C2a, nC2),
443	480	AB2 = (1 + l->A2m1) * (B22 - l->B21),
444	481	J12 = (l->A1m1 - l->A2m1) * sig12 + (AB1 - AB2);
445		if (outmask & REDUCEDLENGTH)
	482	if (outmask & GEOD_REDUCEDLENGTH)
446	483	/* Add parens around (csig1 * ssig2) and (ssig1 * csig2) to ensure
447	484	* accurate cancellation in the case of coincident points. */
448	485	m12 = l->b * ((dn2 * (l->csig1 * ssig2) - l->dn1 * (l->ssig1 * csig2))
449	486	- l->csig1 * csig2 * J12);
450		if (outmask & GEODESICSCALE) {
	487	if (outmask & GEOD_GEODESICSCALE) {
451	488	real t = l->k2 * (ssig2 - l->ssig1) * (ssig2 + l->ssig1) / (l->dn1 + dn2);
452	489	M12 = csig12 + (t * ssig2 - csig2 * J12) * l->ssig1 / l->dn1;
453	490	M21 = csig12 - (t * l->ssig1 - l->csig1 * J12) * ssig2 / dn2;
454	491	}
455	492	}
456	493
457		if (outmask & AREA) {
	494	if (outmask & GEOD_AREA) {
458	495	real
459	496	B42 = SinCosSeries(FALSE, ssig2, csig2, l->C4a, nC4);
460	497	real salp12, calp12;

487	524	S12 = l->c2 * atan2(salp12, calp12) + l->A4 * (B42 - l->B41);
488	525	}
489	526
490		if (outmask & LATITUDE)
	527	if (outmask & GEOD_LATITUDE)
491	528	*plat2 = lat2;
492		if (outmask & LONGITUDE)
	529	if (outmask & GEOD_LONGITUDE)
493	530	*plon2 = lon2;
494		if (outmask & AZIMUTH)
	531	if (outmask & GEOD_AZIMUTH)
495	532	*pazi2 = azi2;
496		if (outmask & DISTANCE)
	533	if (outmask & GEOD_DISTANCE)
497	534	*ps12 = s12;
498		if (outmask & REDUCEDLENGTH)
	535	if (outmask & GEOD_REDUCEDLENGTH)
499	536	*pm12 = m12;
500		if (outmask & GEODESICSCALE) {
	537	if (outmask & GEOD_GEODESICSCALE) {
501	538	if (pM12) *pM12 = M12;
502	539	if (pM21) *pM21 = M21;
503	540	}
504		if (outmask & AREA)
	541	if (outmask & GEOD_AREA)
505	542	*pS12 = S12;
506	543
507	544	return arcmode ? s12_a12 : sig12 / degree;
508	545	}
509	546
510		void Position(const struct GeodesicLine* l, real s12,
511		real* plat2, real* plon2, real* pazi2) {
512		GenPosition(l, FALSE, s12, plat2, plon2, pazi2, 0, 0, 0, 0, 0);
513		}
514
515		real GenDirect(const struct Geodesic* g,
516		real lat1, real lon1, real azi1,
517		boolx arcmode, real s12_a12,
518		real* plat2, real* plon2, real* pazi2,
519		real* ps12, real* pm12, real* pM12, real* pM21,
520		real* pS12) {
521		struct GeodesicLine l;
	547	void geod_position(const struct geod_geodesicline* l, real s12,
	548	real* plat2, real* plon2, real* pazi2) {
	549	geod_genposition(l, FALSE, s12, plat2, plon2, pazi2, 0, 0, 0, 0, 0);
	550	}
	551
	552	real geod_gendirect(const struct geod_geodesic* g,
	553	real lat1, real lon1, real azi1,
	554	boolx arcmode, real s12_a12,
	555	real* plat2, real* plon2, real* pazi2,
	556	real* ps12, real* pm12, real* pM12, real* pM21,
	557	real* pS12) {
	558	struct geod_geodesicline l;
522	559	unsigned outmask =
523		(plat2 ? LATITUDE : 0U) \|
524		(plon2 ? LONGITUDE : 0U) \|
525		(pazi2 ? AZIMUTH : 0U) \|
526		(ps12 ? DISTANCE : 0U) \|
527		(pm12 ? REDUCEDLENGTH : 0U) \|
528		(pM12 \|\| pM21 ? GEODESICSCALE : 0U) \|
529		(pS12 ? AREA : 0U);
530
531		GeodesicLineInit(&l, g, lat1, lon1, azi1,
532		/* Automatically supply DISTANCE_IN if necessary */
533		outmask \| (arcmode ? NONE : DISTANCE_IN));
534		return GenPosition(&l, arcmode, s12_a12,
535		plat2, plon2, pazi2, ps12, pm12, pM12, pM21, pS12);
536		}
537
538		void Direct(const struct Geodesic* g,
539		real lat1, real lon1, real azi1,
540		real s12,
541		real* plat2, real* plon2, real* pazi2) {
542		GenDirect(g, lat1, lon1, azi1, FALSE, s12, plat2, plon2, pazi2,
543		0, 0, 0, 0, 0);
544		}
545
546		real GenInverse(const struct Geodesic* g,
547		real lat1, real lon1, real lat2, real lon2,
548		real* ps12, real* pazi1, real* pazi2,
549		real* pm12, real* pM12, real* pM21, real* pS12) {
	560	(plat2 ? GEOD_LATITUDE : 0U) \|
	561	(plon2 ? GEOD_LONGITUDE : 0U) \|
	562	(pazi2 ? GEOD_AZIMUTH : 0U) \|
	563	(ps12 ? GEOD_DISTANCE : 0U) \|
	564	(pm12 ? GEOD_REDUCEDLENGTH : 0U) \|
	565	(pM12 \|\| pM21 ? GEOD_GEODESICSCALE : 0U) \|
	566	(pS12 ? GEOD_AREA : 0U);
	567
	568	geod_lineinit(&l, g, lat1, lon1, azi1,
	569	/* Automatically supply GEOD_DISTANCE_IN if necessary */
	570	outmask \| (arcmode ? GEOD_NONE : GEOD_DISTANCE_IN));
	571	return geod_genposition(&l, arcmode, s12_a12,
	572	plat2, plon2, pazi2, ps12, pm12, pM12, pM21, pS12);
	573	}
	574
	575	void geod_direct(const struct geod_geodesic* g,
	576	real lat1, real lon1, real azi1,
	577	real s12,
	578	real* plat2, real* plon2, real* pazi2) {
	579	geod_gendirect(g, lat1, lon1, azi1, FALSE, s12, plat2, plon2, pazi2,
	580	0, 0, 0, 0, 0);
	581	}
	582
	583	real geod_geninverse(const struct geod_geodesic* g,
	584	real lat1, real lon1, real lat2, real lon2,
	585	real* ps12, real* pazi1, real* pazi2,
	586	real* pm12, real* pM12, real* pM21, real* pS12) {
550	587	real s12 = 0, azi1 = 0, azi2 = 0, m12 = 0, M12 = 0, M21 = 0, S12 = 0;
551	588	real lon12;
552	589	int latsign, lonsign, swapp;

559	596	real omg12 = 0;
560	597
561	598	unsigned outmask =
562		(ps12 ? DISTANCE : 0U) \|
563		(pazi1 \|\| pazi2 ? AZIMUTH : 0U) \|
564		(pm12 ? REDUCEDLENGTH : 0U) \|
565		(pM12 \|\| pM21 ? GEODESICSCALE : 0U) \|
566		(pS12 ? AREA : 0U);
	599	(ps12 ? GEOD_DISTANCE : 0U) \|
	600	(pazi1 \|\| pazi2 ? GEOD_AZIMUTH : 0U) \|
	601	(pm12 ? GEOD_REDUCEDLENGTH : 0U) \|
	602	(pM12 \|\| pM21 ? GEOD_GEODESICSCALE : 0U) \|
	603	(pS12 ? GEOD_AREA : 0U);
567	604
568	605	outmask &= OUT_ALL;
569		lon12 = AngNormalize(AngNormalize(lon2) -
570		AngNormalize(lon1));
571		/* If very close to being on the same meridian, then make it so.
572		* Not sure this is necessary... */
	606	/* Compute longitude difference (AngDiff does this carefully). Result is
	607	* in [-180, 180] but -180 is only for west-going geodesics. 180 is for
	608	* east-going and meridional geodesics. */
	609	lon12 = AngDiff(AngNormalize(lon1), AngNormalize(lon2));
	610	/* If very close to being on the same half-meridian, then make it so. */
573	611	lon12 = AngRound(lon12);
574	612	/* Make longitude difference positive. */
575	613	lonsign = lon12 >= 0 ? 1 : -1;
576	614	lon12 *= lonsign;
577		if (lon12 == 180)
578		lonsign = 1;
579	615	/* If really close to the equator, treat as on equator. */
580	616	lat1 = AngRound(lat1);
581	617	lat2 = AngRound(lat2);

636	672	slam12 = lon12 == 180 ? 0 : sin(lam12);
637	673	clam12 = cos(lam12); /* lon12 == 90 isn't interesting */
638	674
639
640	675	meridian = lat1 == -90 \|\| slam12 == 0;
641	676
642	677	if (meridian) {

659	694	real dummy;
660	695	Lengths(g, g->n, sig12, ssig1, csig1, dn1, ssig2, csig2, dn2,
661	696	cbet1, cbet2, &s12x, &m12x, &dummy,
662		(outmask & GEODESICSCALE) != 0U, &M12, &M21, C1a, C2a);
	697	(outmask & GEOD_GEODESICSCALE) != 0U, &M12, &M21, C1a, C2a);
663	698	}
664	699	/* Add the check for sig12 since zero length geodesics might yield m12 <
665	700	* 0. Test case was

687	722	s12x = g->a * lam12;
688	723	sig12 = omg12 = lam12 / g->f1;
689	724	m12x = g->b * sin(sig12);
690		if (outmask & GEODESICSCALE)
	725	if (outmask & GEOD_GEODESICSCALE)
691	726	M12 = M21 = cos(sig12);
692	727	a12 = lon12 / g->f1;
693	728

697	732	* meridian and geodesic is neither meridional or equatorial. */
698	733
699	734	/* Figure a starting point for Newton's method */
	735	real dnm = 0;
700	736	sig12 = InverseStart(g, sbet1, cbet1, dn1, sbet2, cbet2, dn2,
701	737	lam12,
702		&salp1, &calp1, &salp2, &calp2,
	738	&salp1, &calp1, &salp2, &calp2, &dnm,
703	739	C1a, C2a);
704	740
705	741	if (sig12 >= 0) {
706		/* Short lines (InverseStart sets salp2, calp2) */
707		real dnm = (dn1 + dn2) / 2;
	742	/* Short lines (InverseStart sets salp2, calp2, dnm) */
708	743	s12x = sig12 * g->b * dnm;
709	744	m12x = sq(dnm) * g->b * sin(sig12 / dnm);
710		if (outmask & GEODESICSCALE)
	745	if (outmask & GEOD_GEODESICSCALE)
711	746	M12 = M21 = cos(sig12 / dnm);
712	747	a12 = sig12 / degree;
713	748	omg12 = lam12 / (g->f1 * dnm);

738	773	&eps, &omg12, numit < maxit1, &dv, C1a, C2a, C3a)
739	774	- lam12);
740	775	/* 2 * tol0 is approximately 1 ulp for a number in [0, pi]. */
741		if (tripb \|\| fabs(v) < (tripn ? 8 : 2) * tol0) break;
	776	/* Reversed test to allow escape with NaNs */
	777	if (tripb \|\| !(fabs(v) >= (tripn ? 8 : 2) * tol0)) break;
742	778	/* Update bracketing values */
743		if (v > 0 && (numit > maxit1 \|\| calp1/salp1 > calp1b/salp1b)) {
744		salp1b = salp1; calp1b = calp1;
745		} else if (numit > maxit1 \|\| calp1/salp1 < calp1a/salp1a) {
746		salp1a = salp1; calp1a = calp1;
747		}
	779	if (v > 0 && (numit > maxit1 \|\| calp1/salp1 > calp1b/salp1b))
	780	{ salp1b = salp1; calp1b = calp1; }
	781	else if (v < 0 && (numit > maxit1 \|\| calp1/salp1 < calp1a/salp1a))
	782	{ salp1a = salp1; calp1a = calp1; }
748	783	if (numit < maxit1 && dv > 0) {
749	784	real
750	785	dalp1 = -v/dv;

781	816	real dummy;
782	817	Lengths(g, eps, sig12, ssig1, csig1, dn1, ssig2, csig2, dn2,
783	818	cbet1, cbet2, &s12x, &m12x, &dummy,
784		(outmask & GEODESICSCALE) != 0U, &M12, &M21, C1a, C2a);
	819	(outmask & GEOD_GEODESICSCALE) != 0U, &M12, &M21, C1a, C2a);
785	820	}
786	821	m12x *= g->b;
787	822	s12x *= g->b;

790	825	}
791	826	}
792	827
793		if (outmask & DISTANCE)
	828	if (outmask & GEOD_DISTANCE)
794	829	s12 = 0 + s12x; /* Convert -0 to 0 */
795	830
796		if (outmask & REDUCEDLENGTH)
	831	if (outmask & GEOD_REDUCEDLENGTH)
797	832	m12 = 0 + m12x; /* Convert -0 to 0 */
798	833
799		if (outmask & AREA) {
	834	if (outmask & GEOD_AREA) {
800	835	real
801	836	/* From Lambda12: sin(alp1) * cos(bet1) = sin(alp0) */
802	837	salp0 = salp1 * cbet1,

859	894	if (swapp < 0) {
860	895	swapx(&salp1, &salp2);
861	896	swapx(&calp1, &calp2);
862		if (outmask & GEODESICSCALE)
	897	if (outmask & GEOD_GEODESICSCALE)
863	898	swapx(&M12, &M21);
864	899	}
865	900
866	901	salp1 = swapp lonsign; calp1 = swapp latsign;
867	902	salp2 = swapp lonsign; calp2 = swapp latsign;
868	903
869		if (outmask & AZIMUTH) {
	904	if (outmask & GEOD_AZIMUTH) {
870	905	/* minus signs give range [-180, 180). 0- converts -0 to +0. */
871	906	azi1 = 0 - atan2(-salp1, calp1) / degree;
872	907	azi2 = 0 - atan2(-salp2, calp2) / degree;
873	908	}
874	909
875		if (outmask & DISTANCE)
	910	if (outmask & GEOD_DISTANCE)
876	911	*ps12 = s12;
877		if (outmask & AZIMUTH) {
	912	if (outmask & GEOD_AZIMUTH) {
878	913	if (pazi1) *pazi1 = azi1;
879	914	if (pazi2) *pazi2 = azi2;
880	915	}
881		if (outmask & REDUCEDLENGTH)
	916	if (outmask & GEOD_REDUCEDLENGTH)
882	917	*pm12 = m12;
883		if (outmask & GEODESICSCALE) {
	918	if (outmask & GEOD_GEODESICSCALE) {
884	919	if (pM12) *pM12 = M12;
885	920	if (pM21) *pM21 = M21;
886	921	}
887		if (outmask & AREA)
	922	if (outmask & GEOD_AREA)
888	923	*pS12 = S12;
889	924
890	925	/* Returned value in [0, 180] */
891	926	return a12;
892	927	}
893	928
894		void Inverse(const struct Geodesic* g,
895		double lat1, double lon1, double lat2, double lon2,
896		double* ps12, double* pazi1, double* pazi2) {
897		GenInverse(g, lat1, lon1, lat2, lon2, ps12, pazi1, pazi2, 0, 0, 0, 0);
898		}
899
900		real SinCosSeries(boolx sinp,
901		real sinx, real cosx,
902		const real c[], int n) {
	929	void geod_inverse(const struct geod_geodesic* g,
	930	real lat1, real lon1, real lat2, real lon2,
	931	real* ps12, real* pazi1, real* pazi2) {
	932	geod_geninverse(g, lat1, lon1, lat2, lon2, ps12, pazi1, pazi2, 0, 0, 0, 0);
	933	}
	934
	935	real SinCosSeries(boolx sinp, real sinx, real cosx, const real c[], int n) {
903	936	/* Evaluate
904	937	* y = sinp ? sum(c[i] * sin( 2i x), i, 1, n) :
905	938	* sum(c[i] * cos((2i+1) x), i, 0, n-1)

921	954	: cosx * (y0 - y1); /* cos(x) * (y0 - y1) */
922	955	}
923	956
924		void Lengths(const struct Geodesic* g,
	957	void Lengths(const struct geod_geodesic* g,
925	958	real eps, real sig12,
926	959	real ssig1, real csig1, real dn1,
927	960	real ssig2, real csig2, real dn2,

1018	1051	return k;
1019	1052	}
1020	1053
1021		real InverseStart(const struct Geodesic* g,
	1054	real InverseStart(const struct geod_geodesic* g,
1022	1055	real sbet1, real cbet1, real dn1,
1023	1056	real sbet2, real cbet2, real dn2,
1024	1057	real lam12,
1025	1058	real* psalp1, real* pcalp1,
1026	1059	/* Only updated if return val >= 0 */
1027	1060	real* psalp2, real* pcalp2,
	1061	/* Only updated for short lines */
	1062	real* pdnm,
1028	1063	/* Scratch areas of the right size */
1029	1064	real C1a[], real C2a[]) {
1030		real salp1 = 0, calp1 = 0, salp2 = 0, calp2 = 0;
	1065	real salp1 = 0, calp1 = 0, salp2 = 0, calp2 = 0, dnm = 0;
1031	1066
1032	1067	/* Return a starting point for Newton's method in salp1 and calp1 (function
1033	1068	* value is -1). If Newton's method doesn't need to be used, return also

1055	1090	real sbet12a = sbet2 * cbet1 + cbet2 * sbet1;
1056	1091	#endif
1057	1092	boolx shortline = cbet12 >= 0 && sbet12 < (real)(0.5) &&
1058		lam12 <= pi / 6;
1059		real
1060		omg12 = !shortline ? lam12 : lam12 / (g->f1 * (dn1 + dn2) / 2),
1061		somg12 = sin(omg12), comg12 = cos(omg12);
1062		real ssig12, csig12;
	1093	cbet2 * lam12 < (real)(0.5);
	1094	real omg12 = lam12, somg12, comg12, ssig12, csig12;
	1095	if (shortline) {
	1096	real sbetm2 = sq(sbet1 + sbet2);
	1097	/* sin((bet1+bet2)/2)^2
	1098	* = (sbet1 + sbet2)^2 / ((sbet1 + sbet2)^2 + (cbet1 + cbet2)^2) */
	1099	sbetm2 /= sbetm2 + sq(cbet1 + cbet2);
	1100	dnm = sqrt(1 + g->ep2 * sbetm2);
	1101	omg12 /= g->f1 * dnm;
	1102	}
	1103	somg12 = sin(omg12); comg12 = cos(omg12);
1063	1104
1064	1105	salp1 = cbet2 * somg12;
1065	1106	calp1 = comg12 >= 0 ?

1072	1113	if (shortline && ssig12 < g->etol2) {
1073	1114	/* really short lines */
1074	1115	salp2 = cbet1 * somg12;
1075		calp2 = sbet12 - cbet1 * sbet2 * sq(somg12) / (1 + comg12);
	1116	calp2 = sbet12 - cbet1 * sbet2 *
	1117	(comg12 >= 0 ? sq(somg12) / (1 + comg12) : 1 - comg12);
1076	1118	SinCosNorm(&salp2, &calp2);
1077	1119	/* Set return value */
1078	1120	sig12 = atan2(ssig12, csig12);

1179	1221
1180	1222	*psalp1 = salp1;
1181	1223	*pcalp1 = calp1;
	1224	if (shortline)
	1225	*pdnm = dnm;
1182	1226	if (sig12 >= 0) {
1183	1227	*psalp2 = salp2;
1184	1228	*pcalp2 = calp2;

1186	1230	return sig12;
1187	1231	}
1188	1232
1189		real Lambda12(const struct Geodesic* g,
	1233	real Lambda12(const struct geod_geodesic* g,
1190	1234	real sbet1, real cbet1, real dn1,
1191	1235	real sbet2, real cbet2, real dn2,
1192	1236	real salp1, real calp1,

1285	1329	return lam12;
1286	1330	}
1287	1331
1288		real A3f(const struct Geodesic* g, real eps) {
	1332	real A3f(const struct geod_geodesic* g, real eps) {
1289	1333	/* Evaluate sum(A3x[k] * eps^k, k, 0, nA3x-1) by Horner's method */
1290	1334	real v = 0;
1291	1335	int i;

1294	1338	return v;
1295	1339	}
1296	1340
1297		void C3f(const struct Geodesic* g, real eps, real c[]) {
	1341	void C3f(const struct geod_geodesic* g, real eps, real c[]) {
1298	1342	/* Evaluate C3 coeffs by Horner's method
1299	1343	* Elements c[1] thru c[nC3 - 1] are set */
1300	1344	int i, j, k;

1312	1356	}
1313	1357	}
1314	1358
1315		void C4f(const struct Geodesic* g, real eps, real c[]) {
	1359	void C4f(const struct geod_geodesic* g, real eps, real c[]) {
1316	1360	/* Evaluate C4 coeffs by Horner's method
1317	1361	* Elements c[0] thru c[nC4 - 1] are set */
1318	1362	int i, j, k;

1403	1447	}
1404	1448
1405	1449	/* The scale factor A3 = mean value of (d/dsigma)I3 */
1406		void A3coeff(struct Geodesic* g) {
	1450	void A3coeff(struct geod_geodesic* g) {
1407	1451	g->A3x[0] = 1;
1408	1452	g->A3x[1] = (g->n-1)/2;
1409	1453	g->A3x[2] = (g->n(3g->n-1)-2)/8;

1413	1457	}
1414	1458
1415	1459	/* The coefficients C3[l] in the Fourier expansion of B3 */
1416		void C3coeff(struct Geodesic* g) {
	1460	void C3coeff(struct geod_geodesic* g) {
1417	1461	g->C3x[0] = (1-g->n)/4;
1418	1462	g->C3x[1] = (1-g->n*g->n)/8;
1419	1463	g->C3x[2] = ((3-g->n)*g->n+3)/64;

1434	1478	/* Generated by Maxima on 2012-10-19 08:02:34-04:00 */
1435	1479
1436	1480	/* The coefficients C4[l] in the Fourier expansion of I4 */
1437		void C4coeff(struct Geodesic* g) {
	1481	void C4coeff(struct geod_geodesic* g) {
1438	1482	g->C4x[0] = (g->n(g->n(g->n(g->n(100*g->n+208)+572)+3432)-12012)+30030)/
1439	1483	45045;
1440	1484	g->C4x[1] = (g->n(g->n(g->n(64g->n+624)-4576)+6864)-3003)/15015;

1458	1502	g->C4x[19] = -128/(real)(135135);
1459	1503	g->C4x[20] = 128/(real)(99099);
1460	1504	}
	1505
	1506	int transit(real lon1, real lon2) {
	1507	real lon12;
	1508	/* Return 1 or -1 if crossing prime meridian in east or west direction.
	1509	* Otherwise return zero. */
	1510	/* Compute lon12 the same way as Geodesic::Inverse. */
	1511	lon1 = AngNormalize(lon1);
	1512	lon2 = AngNormalize(lon2);
	1513	lon12 = AngDiff(lon1, lon2);
	1514	return lon1 < 0 && lon2 >= 0 && lon12 > 0 ? 1 :
	1515	(lon2 < 0 && lon1 >= 0 && lon12 < 0 ? -1 : 0);
	1516	}
	1517
	1518	void accini(real s[]) {
	1519	/* Initialize an accumulator; this is an array with two elements. */
	1520	s[0] = s[1] = 0;
	1521	}
	1522
	1523	void acccopy(const real s[], real t[]) {
	1524	/* Copy an accumulator; t = s. */
	1525	t[0] = s[0]; t[1] = s[1];
	1526	}
	1527
	1528	void accadd(real s[], real y) {
	1529	/* Add y to an accumulator. */
	1530	real u, z = sumx(y, s[1], &u);
	1531	s[0] = sumx(z, s[0], &s[1]);
	1532	if (s[0] == 0)
	1533	s[0] = u;
	1534	else
	1535	s[1] = s[1] + u;
	1536	}
	1537
	1538	real accsum(const real s[], real y) {
	1539	/* Return accumulator + y (but don't add to accumulator). */
	1540	real t[2];
	1541	acccopy(s, t);
	1542	accadd(t, y);
	1543	return t[0];
	1544	}
	1545
	1546	void accneg(real s[]) {
	1547	/* Negate an accumulator. */
	1548	s[0] = -s[0]; s[1] = -s[1];
	1549	}
	1550
	1551	void geod_polygon_init(struct geod_polygon* p, boolx polylinep) {
	1552	p->lat0 = p->lon0 = p->lat = p->lon = NaN;
	1553	p->polyline = (polylinep != 0);
	1554	accini(p->P);
	1555	accini(p->A);
	1556	p->num = p->crossings = 0;
	1557	}
	1558
	1559	void geod_polygon_addpoint(const struct geod_geodesic* g,
	1560	struct geod_polygon* p,
	1561	real lat, real lon) {
	1562	lon = AngNormalize(lon);
	1563	if (p->num == 0) {
	1564	p->lat0 = p->lat = lat;
	1565	p->lon0 = p->lon = lon;
	1566	} else {
	1567	real s12, S12;
	1568	geod_geninverse(g, p->lat, p->lon, lat, lon,
	1569	&s12, 0, 0, 0, 0, 0, p->polyline ? 0 : &S12);
	1570	accadd(p->P, s12);
	1571	if (!p->polyline) {
	1572	accadd(p->A, S12);
	1573	p->crossings += transit(p->lon, lon);
	1574	}
	1575	p->lat = lat; p->lon = lon;
	1576	}
	1577	++p->num;
	1578	}
	1579
	1580	void geod_polygon_addedge(const struct geod_geodesic* g,
	1581	struct geod_polygon* p,
	1582	real azi, real s) {
	1583	if (p->num) { /* Do nothing is num is zero */
	1584	real lat, lon, S12;
	1585	geod_gendirect(g, p->lat, p->lon, azi, FALSE, s,
	1586	&lat, &lon, 0,
	1587	0, 0, 0, 0, p->polyline ? 0 : &S12);
	1588	accadd(p->P, s);
	1589	if (!p->polyline) {
	1590	accadd(p->A, S12);
	1591	p->crossings += transit(p->lon, lon);
	1592	}
	1593	p->lat = lat; p->lon = lon;
	1594	++p->num;
	1595	}
	1596	}
	1597
	1598	unsigned geod_polygon_compute(const struct geod_geodesic* g,
	1599	const struct geod_polygon* p,
	1600	boolx reverse, boolx sign,
	1601	real* pA, real* pP) {
	1602	real s12, S12, t[2], area0;
	1603	int crossings;
	1604	if (p->num < 2) {
	1605	if (pP) *pP = 0;
	1606	if (!p->polyline && pA) *pA = 0;
	1607	return p->num;
	1608	}
	1609	if (p->polyline) {
	1610	if (pP) *pP = p->P[0];
	1611	return p->num;
	1612	}
	1613	geod_geninverse(g, p->lat, p->lon, p->lat0, p->lon0,
	1614	&s12, 0, 0, 0, 0, 0, &S12);
	1615	if (pP) *pP = accsum(p->P, s12);
	1616	acccopy(p->A, t);
	1617	accadd(t, S12);
	1618	crossings = p->crossings + transit(p->lon, p->lon0);
	1619	area0 = 4 * pi * g->c2;
	1620	if (crossings & 1)
	1621	accadd(t, (t[0] < 0 ? 1 : -1) * area0/2);
	1622	/* area is with the clockwise sense. If !reverse convert to
	1623	* counter-clockwise convention. */
	1624	if (!reverse)
	1625	accneg(t);
	1626	/* If sign put area in (-area0/2, area0/2], else put area in [0, area0) */
	1627	if (sign) {
	1628	if (t[0] > area0/2)
	1629	accadd(t, -area0);
	1630	else if (t[0] <= -area0/2)
	1631	accadd(t, +area0);
	1632	} else {
	1633	if (t[0] >= area0)
	1634	accadd(t, -area0);
	1635	else if (t[0] < 0)
	1636	accadd(t, +area0);
	1637	}
	1638	if (pA) *pA = 0 + t[0];
	1639	return p->num;
	1640	}
	1641
	1642	unsigned geod_polygon_testpoint(const struct geod_geodesic* g,
	1643	const struct geod_polygon* p,
	1644	real lat, real lon,
	1645	boolx reverse, boolx sign,
	1646	real* pA, real* pP) {
	1647	real perimeter, tempsum, area0;
	1648	int crossings, i;
	1649	unsigned num = p->num + 1;
	1650	if (num == 1) {
	1651	if (pP) *pP = 0;
	1652	if (!p->polyline && pA) *pA = 0;
	1653	return num;
	1654	}
	1655	perimeter = p->P[0];
	1656	tempsum = p->polyline ? 0 : p->A[0];
	1657	crossings = p->crossings;
	1658	for (i = 0; i < (p->polyline ? 1 : 2); ++i) {
	1659	real s12, S12;
	1660	geod_geninverse(g,
	1661	i == 0 ? p->lat : lat, i == 0 ? p->lon : lon,
	1662	i != 0 ? p->lat0 : lat, i != 0 ? p->lon0 : lon,
	1663	&s12, 0, 0, 0, 0, 0, p->polyline ? 0 : &S12);
	1664	perimeter += s12;
	1665	if (!p->polyline) {
	1666	tempsum += S12;
	1667	crossings += transit(i == 0 ? p->lon : lon,
	1668	i != 0 ? p->lon0 : lon);
	1669	}
	1670	}
	1671
	1672	if (pP) *pP = perimeter;
	1673	if (p->polyline)
	1674	return num;
	1675
	1676	area0 = 4 * pi * g->c2;
	1677	if (crossings & 1)
	1678	tempsum += (tempsum < 0 ? 1 : -1) * area0/2;
	1679	/* area is with the clockwise sense. If !reverse convert to
	1680	* counter-clockwise convention. */
	1681	if (!reverse)
	1682	tempsum *= -1;
	1683	/* If sign put area in (-area0/2, area0/2], else put area in [0, area0) */
	1684	if (sign) {
	1685	if (tempsum > area0/2)
	1686	tempsum -= area0;
	1687	else if (tempsum <= -area0/2)
	1688	tempsum += area0;
	1689	} else {
	1690	if (tempsum >= area0)
	1691	tempsum -= area0;
	1692	else if (tempsum < 0)
	1693	tempsum += area0;
	1694	}
	1695	if (pA) *pA = 0 + tempsum;
	1696	return num;
	1697	}
	1698
	1699	unsigned geod_polygon_testedge(const struct geod_geodesic* g,
	1700	const struct geod_polygon* p,
	1701	real azi, real s,
	1702	boolx reverse, boolx sign,
	1703	real* pA, real* pP) {
	1704	real perimeter, tempsum, area0;
	1705	int crossings;
	1706	unsigned num = p->num + 1;
	1707	if (num == 1) { /* we don't have a starting point! */
	1708	if (pP) *pP = NaN;
	1709	if (!p->polyline && pA) *pA = NaN;
	1710	return 0;
	1711	}
	1712	perimeter = p->P[0] + s;
	1713	if (p->polyline) {
	1714	if (pP) *pP = perimeter;
	1715	return num;
	1716	}
	1717
	1718	tempsum = p->A[0];
	1719	crossings = p->crossings;
	1720	{
	1721	real lat, lon, s12, S12;
	1722	geod_gendirect(g, p->lat, p->lon, azi, FALSE, s,
	1723	&lat, &lon, 0,
	1724	0, 0, 0, 0, &S12);
	1725	tempsum += S12;
	1726	crossings += transit(p->lon, lon);
	1727	geod_geninverse(g, lat, lon, p->lat0, p->lon0,
	1728	&s12, 0, 0, 0, 0, 0, &S12);
	1729	perimeter += s12;
	1730	tempsum += S12;
	1731	crossings += transit(lon, p->lon0);
	1732	}
	1733
	1734	area0 = 4 * pi * g->c2;
	1735	if (crossings & 1)
	1736	tempsum += (tempsum < 0 ? 1 : -1) * area0/2;
	1737	/* area is with the clockwise sense. If !reverse convert to
	1738	* counter-clockwise convention. */
	1739	if (!reverse)
	1740	tempsum *= -1;
	1741	/* If sign put area in (-area0/2, area0/2], else put area in [0, area0) */
	1742	if (sign) {
	1743	if (tempsum > area0/2)
	1744	tempsum -= area0;
	1745	else if (tempsum <= -area0/2)
	1746	tempsum += area0;
	1747	} else {
	1748	if (tempsum >= area0)
	1749	tempsum -= area0;
	1750	else if (tempsum < 0)
	1751	tempsum += area0;
	1752	}
	1753	if (pP) *pP = perimeter;
	1754	if (pA) *pA = 0 + tempsum;
	1755	return num;
	1756	}
	1757
	1758	void geod_polygonarea(const struct geod_geodesic* g,
	1759	real lats[], real lons[], int n,
	1760	real* pA, real* pP) {
	1761	int i;
	1762	struct geod_polygon p;
	1763	geod_polygon_init(&p, FALSE);
	1764	for (i = 0; i < n; ++i)
	1765	geod_polygon_addpoint(g, &p, lats[i], lons[i]);
	1766	geod_polygon_compute(g, &p, FALSE, TRUE, pA, pP);
	1767	}
	1768
	1769	/** @endcond */

+712

-173

src/geodesic.h less more

0		/*
1		* This is a C implementation of the geodesic algorithms described in
2		*
3		* C. F. F. Karney,
4		* Algorithms for geodesics,
5		* J. Geodesy (2012);
6		* http://dx.doi.org/10.1007/s00190-012-0578-z
7		* Addenda: http://geographiclib.sf.net/geod-addenda.html
8		*
	0	/**
	1	* \file geodesic.h
	2	* \brief Header for the geodesic routines in C
	3	*
	4	* This an implementation in C of the geodesic algorithms described in
	5	* - C. F. F. Karney,
	6	* <a href="http://dx.doi.org/10.1007/s00190-012-0578-z">
	7	* Algorithms for geodesics</a>,
	8	* J. Geodesy <b>87</b>, 43--55 (2013);
	9	* DOI: <a href="http://dx.doi.org/10.1007/s00190-012-0578-z">
	10	* 10.1007/s00190-012-0578-z</a>;
	11	* addenda: <a href="http://geographiclib.sf.net/geod-addenda.html">
	12	* geod-addenda.html</a>.
	13	* .
9	14	* The principal advantages of these algorithms over previous ones (e.g.,
10	15	* Vincenty, 1975) are
11		* * accurate to round off for abs(f) < 1/50;
12		* * the solution of the inverse problem is always found;
13		* * differential and integral properties of geodesics are computed.
14		*
15		* The shortest path between two points on the ellipsoid at (lat1, lon1) and
16		* (lat2, lon2) is called the geodesic. Its length is s12 and the geodesic
17		* from point 1 to point 2 has forward azimuths azi1 and azi2 at the two end
18		* points.
	16	* - accurate to round off for \|<i>f</i>\| < 1/50;
	17	* - the solution of the inverse problem is always found;
	18	* - differential and integral properties of geodesics are computed.
	19	*
	20	* The shortest path between two points on the ellipsoid at (\e lat1, \e
	21	* lon1) and (\e lat2, \e lon2) is called the geodesic. Its length is
	22	* \e s12 and the geodesic from point 1 to point 2 has forward azimuths
	23	* \e azi1 and \e azi2 at the two end points.
19	24	*
20	25	* Traditionally two geodesic problems are considered:
21		* * the direct problem -- given lat1, lon1, s12, and azi1, determine
22		* lat2, lon2, and azi2.
23		* * the inverse problem -- given lat1, lon1, lat2, lon2, determine
24		* s12, azi1, and azi2.
25		*
26		* The ellipsoid is specified by its equatorial radius a (typically in meters)
27		* and flattening f. The routines are accurate to round off with double
28		* precision arithmetic provided that abs(f) < 1/50; for the WGS84 ellipsoid,
29		* the errors are less than 15 nanometers. (Reasonably accurate results are
30		* obtained for abs(f) < 1/5.) Latitudes, longitudes, and azimuths are in
31		* degrees. Latitudes must lie in [-90,90] and longitudes and azimuths must
32		* lie in [-540,540). The returned values for longitude and azimuths are in
33		* [-180,180). The distance s12 is measured in meters (more precisely the same
34		* units as a).
	26	* - the direct problem -- given \e lat1, \e lon1, \e s12, and \e azi1,
	27	* determine \e lat2, \e lon2, and \e azi2. This is solved by the function
	28	* geod_direct().
	29	* - the inverse problem -- given \e lat1, \e lon1, and \e lat2, \e lon2,
	30	* determine \e s12, \e azi1, and \e azi2. This is solved by the function
	31	* geod_inverse().
	32	*
	33	* The ellipsoid is specified by its equatorial radius \e a (typically in
	34	* meters) and flattening \e f. The routines are accurate to round off with
	35	* double precision arithmetic provided that \|<i>f</i>\| < 1/50; for the
	36	* WGS84 ellipsoid, the errors are less than 15 nanometers. (Reasonably
	37	* accurate results are obtained for \|<i>f</i>\| < 1/5.) For a prolate
	38	* ellipsoid, specify \e f < 0.
35	39	*
36	40	* The routines also calculate several other quantities of interest
37		* * SS12 is the area between the geodesic from point 1 to point 2 and the
38		* equator; i.e., it is the area, measured counter-clockwise, of the
39		* quadrilateral with corners (lat1,lon1), (0,lon1), (0,lon2), and
40		* (lat2,lon2). It is given in meters^2.
41		* * m12, the reduced length of the geodesic is defined such that if the
42		* initial azimuth is perturbed by dazi1 (radians) then the second point is
43		* displaced by m12 dazi1 in the direction perpendicular to the geodesic.
44		* m12 is given in meters. On a curved surface the reduced length obeys a
45		* symmetry relation, m12 + m21 = 0. On a flat surface, we have m12 = s12.
46		* * MM12 and MM21 are geodesic scales. If two geodesics are parallel at
47		* point 1 and separated by a small distance dt, then they are separated by
48		* a distance MM12 dt at point 2. MM21 is defined similarly (with the
49		* geodesics being parallel to one another at point 2). MM12 and MM21 are
50		* dimensionless quantities. On a flat surface, we have MM12 = MM21 = 1.
51		* * a12 is the arc length on the auxiliary sphere. This is a construct for
52		* converting the problem to one in spherical trigonometry. a12 is
53		* measured in degrees. The spherical arc length from one equator crossing
54		* to the next is always 180 degrees.
55		*
56		* Simple interface
57		*
58		* #include "geodesic.h"
59		*
60		* double a, f, lat1, lon1, azi1, lat2, lon2, azi2, s12;
61		* struct Geodesic g;
62		*
63		* GeodesicInit(&g, a, f);
64		* Direct(&g, lat1, lon1, azi1, s12, &lat2, &lon2, &azi2);
65		* Inverse(&g, lat1, lon1, lat2, lon2, &s12, &azi1, &azi2);
66		*
67		* GeodesicInit initalizes g for the ellipsoid. Subsequent calls to Direct and
68		* Inverse solve the direct and inverse geodesic problems.
69		*
70		* Returning auxiliary quantities (continued from the previous example):
71		*
72		* double a12, s12_a12, m12, M12, M21, S12;
73		* a12 = GenDirect(&g, lat1, lon1, azi1, 0, s12,
74		* &lat1, &lat2, &azi2, 0, &m12, &M12, &M21, &S21);
75		* GenDirect(&g, lat1, lon1, azi1, 1, a12,
76		* &lat1, &lat2, &azi2, &s12, &m12, &M12, &M21, &S21);
77		* a12 = GenInverse(&g, lat1, lon1, lat2, lon2, &s12, &azi1, &azi2,
78		* &m12, &M12, &M21, &S12);
79		*
80		* GenDirect is a generalized version of Direct allowing the return of the
81		* auxiliary quantities. With the first variant (arcmode = 0), the length of
82		* the geodesic is specified by the true length s12 and the arc length a12 is
83		* returned as the function value. In the second variant (arcmode = 1), the
84		* length is specified by the arc length a12 (in degrees), and the true length
85		* is returned via &s12.
86		*
87		* a12 = GenInverse(&g, lat1, lon1, lat2, lon2, &s12, &azi1, &azi2,
88		* &m12, &M12, &M21, &S12);
89		*
90		* GenInverse is a generalized version of Inverse allowing the return of the
91		* auxiliary quantities.
92		*
93		* Any of the "return" arguments &s12, etc. in these routines may be replaced
94		* by 0, if you do not need some quantities computed.
95		*
96		* Computing multiple points on a geodesic. This may be accomplished by
97		* repeated invocations of Direct varying s12. However, it is more efficient
98		* to create a GeodesicLine object, as follows.
99		*
100		* struct GeodesicLine l;
101		* int caps = 0;
102		*
103		* GeodesicLineInit(&l, &g, a, f, lat1, lon1, azi1, caps);
104		* Position(l, s12, &lat2, &lon2, &azi2)
105		*
106		* caps is a bit mask specifying the capabilities of the GeodesicLine object.
107		* It should be an or'ed combination of
108		*
109		* LATITUDE compute lat2 (in effect this is always set)
110		* LONGITUDE compute lon2
111		* AZIMUTH compute azi2 (in effect this is always set)
112		* DISTANCE compute s12
113		* DISTANCE_IN allow the length to be specified in terms of distance
114		* REDUCEDLENGTH compute m12
115		* GEODESICSCALE compute M12 and M21
116		* AREA compute S12
117		* ALL all of the above
118		*
119		* caps = 0 is treated as LATITUDE \| LONGITUDE \| AZIMUTH \| DISTANCE_IN (to
120		* support the solution "standard" direct problem).
121		*
122		* There's also a generalized version of Position
123		*
124		* a12 = GenPosition(&l, arcmode, s12_a12,
125		* &lat2, &lon2, &azi2, &s12, &m12, &M12, &M21, &S12);
126		*
127		* See the documentation on GenDirect for the meaning of arcmode.
128		*
129		* Copyright (c) Charles Karney (2012) <charles@karney.com> and licensed
	41	* - \e S12 is the area between the geodesic from point 1 to point 2 and the
	42	* equator; i.e., it is the area, measured counter-clockwise, of the
	43	* quadrilateral with corners (\e lat1,\e lon1), (0,\e lon1), (0,\e lon2),
	44	* and (\e lat2,\e lon2).
	45	* - \e m12, the reduced length of the geodesic is defined such that if
	46	* the initial azimuth is perturbed by \e dazi1 (radians) then the
	47	* second point is displaced by \e m12 \e dazi1 in the direction
	48	* perpendicular to the geodesic. On a curved surface the reduced
	49	* length obeys a symmetry relation, \e m12 + \e m21 = 0. On a flat
	50	* surface, we have \e m12 = \e s12.
	51	* - \e M12 and \e M21 are geodesic scales. If two geodesics are
	52	* parallel at point 1 and separated by a small distance \e dt, then
	53	* they are separated by a distance \e M12 \e dt at point 2. \e M21
	54	* is defined similarly (with the geodesics being parallel to one
	55	* another at point 2). On a flat surface, we have \e M12 = \e M21
	56	* = 1.
	57	* - \e a12 is the arc length on the auxiliary sphere. This is a
	58	* construct for converting the problem to one in spherical
	59	* trigonometry. \e a12 is measured in degrees. The spherical arc
	60	* length from one equator crossing to the next is always 180°.
	61	*
	62	* If points 1, 2, and 3 lie on a single geodesic, then the following
	63	* addition rules hold:
	64	* - \e s13 = \e s12 + \e s23
	65	* - \e a13 = \e a12 + \e a23
	66	* - \e S13 = \e S12 + \e S23
	67	* - \e m13 = \e m12 \e M23 + \e m23 \e M21
	68	* - \e M13 = \e M12 \e M23 − (1 − \e M12 \e M21) \e
	69	* m23 / \e m12
	70	* - \e M31 = \e M32 \e M21 − (1 − \e M23 \e M32) \e
	71	* m12 / \e m23
	72	*
	73	* The shortest distance returned by the solution of the inverse problem is
	74	* (obviously) uniquely defined. However, in a few special cases there are
	75	* multiple azimuths which yield the same shortest distance. Here is a
	76	* catalog of those cases:
	77	* - \e lat1 = −\e lat2 (with neither at a pole). If \e azi1 = \e
	78	* azi2, the geodesic is unique. Otherwise there are two geodesics
	79	* and the second one is obtained by setting [\e azi1, \e azi2] = [\e
	80	* azi2, \e azi1], [\e M12, \e M21] = [\e M21, \e M12], \e S12 =
	81	* −\e S12. (This occurs when the longitude difference is near
	82	* ±180° for oblate ellipsoids.)
	83	* - \e lon2 = \e lon1 ± 180° (with neither at a pole). If
	84	* \e azi1 = 0° or ±180°, the geodesic is unique.
	85	* Otherwise there are two geodesics and the second one is obtained by
	86	* setting [\e azi1, \e azi2] = [−\e azi1, −\e azi2], \e
	87	* S12 = −\e S12. (This occurs when the \e lat2 is near
	88	* −\e lat1 for prolate ellipsoids.)
	89	* - Points 1 and 2 at opposite poles. There are infinitely many
	90	* geodesics which can be generated by setting [\e azi1, \e azi2] =
	91	* [\e azi1, \e azi2] + [\e d, −\e d], for arbitrary \e d. (For
	92	* spheres, this prescription applies when points 1 and 2 are
	93	* antipodal.)
	94	* - \e s12 = 0 (coincident points). There are infinitely many geodesics
	95	* which can be generated by setting [\e azi1, \e azi2] = [\e azi1, \e
	96	* azi2] + [\e d, \e d], for arbitrary \e d.
	97	*
	98	* These routines are a simple transcription of the corresponding C++ classes
	99	* in <a href="http://geographiclib.sf.net"> GeographicLib</a>. The "class
	100	* data" is represented by the structs geod_geodesic, geod_geodesicline,
	101	* geod_polygon and pointers to these objects are passed as initial arguments
	102	* to the member functions. Most of the internal comments have been retained.
	103	* However, in the process of transcription some documentation has been lost
	104	* and the documentation for the C++ classes, GeographicLib::Geodesic,
	105	* GeographicLib::GeodesicLine, and GeographicLib::PolygonArea, should be
	106	* consulted. The C++ code remains the "reference implementation". Think
	107	* twice about restructuring the internals of the C code since this may make
	108	* porting fixes from the C++ code more difficult.
	109	*
	110	* Copyright (c) Charles Karney (2012-2013) <charles@karney.com> and licensed
130	111	* under the MIT/X11 License. For more information, see
131	112	* http://geographiclib.sourceforge.net/
132	113	*
133		* This file was distributed with GeographicLib 1.27.
134		*/
	114	* This library was distributed with
	115	* <a href="../index.html">GeographicLib</a> 1.32.
	116	**********************************************************************/
135	117
136	118	#if !defined(GEODESIC_H)
137	119	#define GEODESIC_H 1
	120
	121	/**
	122	* The major version of the geodesic library. (This tracks the version of
	123	* GeographicLib.)
	124	**********************************************************************/
	125	#define GEODESIC_VERSION_MAJOR 1
	126	/**
	127	* The minor version of the geodesic library. (This tracks the version of
	128	* GeographicLib.)
	129	**********************************************************************/
	130	#define GEODESIC_VERSION_MINOR 32
	131	/**
	132	* The patch level of the geodesic library. (This tracks the version of
	133	* GeographicLib.)
	134	**********************************************************************/
	135	#define GEODESIC_VERSION_PATCH 0
138	136
139	137	#if defined(__cplusplus)
140	138	extern "C" {
141	139	#endif
142	140
143		struct Geodesic {
144		double a, f, f1, e2, ep2, n, b, c2, etol2;
	141	/**
	142	* The struct containing information about the ellipsoid. This must be
	143	* initialized by geod_init() before use.
	144	**********************************************************************/
	145	struct geod_geodesic {
	146	double a; /*< the equatorial radius /
	147	double f; /*< the flattening /
	148	/*< @cond SKIP /
	149	double f1, e2, ep2, n, b, c2, etol2;
145	150	double A3x[6], C3x[15], C4x[21];
	151	/*< @endcond /
146	152	};
147	153
148		struct GeodesicLine {
149		double lat1, lon1, azi1;
150		double a, f, b, c2, f1, salp0, calp0, k2,
	154	/**
	155	* The struct containing information about a single geodesic. This must be
	156	* initialized by geod_lineinit() before use.
	157	**********************************************************************/
	158	struct geod_geodesicline {
	159	double lat1; /*< the starting latitude /
	160	double lon1; /*< the starting longitude /
	161	double azi1; /*< the starting azimuth /
	162	double a; /*< the equatorial radius /
	163	double f; /*< the flattening /
	164	/*< @cond SKIP /
	165	double b, c2, f1, salp0, calp0, k2,
151	166	salp1, calp1, ssig1, csig1, dn1, stau1, ctau1, somg1, comg1,
152	167	A1m1, A2m1, A3c, B11, B21, B31, A4, B41;
153	168	double C1a[6+1], C1pa[6+1], C2a[6+1], C3a[6], C4a[6];
154		unsigned caps;
	169	/*< @endcond /
	170	unsigned caps; /*< the capabilities /
155	171	};
156	172
157		void GeodesicInit(struct Geodesic* g, double a, double f);
158		void GeodesicLineInit(struct GeodesicLine* l,
159		const struct Geodesic* g,
160		double lat1, double lon1, double azi1, unsigned caps);
161
162		void Direct(const struct Geodesic* g,
163		double lat1, double lon1, double azi1, double s12,
164		double* plat2, double* plon2, double* pazi2);
165		void Inverse(const struct Geodesic* g,
166		double lat1, double lon1, double lat2, double lon2,
167		double* ps12, double* pazi1, double* pazi2);
168		void Position(const struct GeodesicLine* l, double s12,
169		double* plat2, double* plon2, double* pazi2);
170
171		double GenDirect(const struct Geodesic* g,
172		double lat1, double lon1, double azi1,
173		int arcmode, double s12_a12,
174		double* plat2, double* plon2, double* pazi2,
175		double* ps12, double* pm12, double* pM12, double* pM21,
176		double* pS12);
177		double GenInverse(const struct Geodesic* g,
	173	/**
	174	* The struct for accumulating information about a geodesic polygon. This is
	175	* used for computing the perimeter and area of a polygon. This must be
	176	* initialized by geod_polygon_init() before use.
	177	**********************************************************************/
	178	struct geod_polygon {
	179	double lat; /*< the current latitude /
	180	double lon; /*< the current longitude /
	181	/*< @cond SKIP /
	182	double lat0;
	183	double lon0;
	184	double A[2];
	185	double P[2];
	186	int polyline;
	187	int crossings;
	188	/*< @endcond /
	189	unsigned num; /*< the number of points so far /
	190	};
	191
	192	/**
	193	* Initialize a geod_geodesic object.
	194	*
	195	* @param[out] g a pointer to the object to be initialized.
	196	* @param[in] a the equatorial radius (meters).
	197	* @param[in] f the flattening.
	198	**********************************************************************/
	199	void geod_init(struct geod_geodesic* g, double a, double f);
	200
	201	/**
	202	* Initialize a geod_geodesicline object.
	203	*
	204	* @param[out] l a pointer to the object to be initialized.
	205	* @param[in] g a pointer to the geod_geodesic object specifying the
	206	* ellipsoid.
	207	* @param[in] lat1 latitude of point 1 (degrees).
	208	* @param[in] lon1 longitude of point 1 (degrees).
	209	* @param[in] azi1 azimuth at point 1 (degrees).
	210	* @param[in] caps bitor'ed combination of geod_mask() values specifying the
	211	* capabilities the geod_geodesicline object should possess, i.e., which
	212	* quantities can be returned in calls to geod_position() and
	213	* geod_genposition().
	214	*
	215	* \e g must have been initialized with a call to geod_init(). \e lat1
	216	* should be in the range [−90°, 90°]; \e lon1 and \e azi1
	217	* should be in the range [−540°, 540°).
	218	*
	219	* The geod_mask values are [see geod_mask()]:
	220	* - \e caps \|= GEOD_LATITUDE for the latitude \e lat2; this is
	221	* added automatically,
	222	* - \e caps \|= GEOD_LONGITUDE for the latitude \e lon2,
	223	* - \e caps \|= GEOD_AZIMUTH for the latitude \e azi2; this is
	224	* added automatically,
	225	* - \e caps \|= GEOD_DISTANCE for the distance \e s12,
	226	* - \e caps \|= GEOD_REDUCEDLENGTH for the reduced length \e m12,
	227	* - \e caps \|= GEOD_GEODESICSCALE for the geodesic scales \e M12
	228	* and \e M21,
	229	* - \e caps \|= GEOD_AREA for the area \e S12,
	230	* - \e caps \|= GEOD_DISTANCE_IN permits the length of the
	231	* geodesic to be given in terms of \e s12; without this capability the
	232	* length can only be specified in terms of arc length.
	233	* .
	234	* A value of \e caps = 0 is treated as GEOD_LATITUDE \| GEOD_LONGITUDE \|
	235	* GEOD_AZIMUTH \| GEOD_DISTANCE_IN (to support the solution of the "standard"
	236	* direct problem).
	237	**********************************************************************/
	238	void geod_lineinit(struct geod_geodesicline* l,
	239	const struct geod_geodesic* g,
	240	double lat1, double lon1, double azi1, unsigned caps);
	241
	242	/**
	243	* Solve the direct geodesic problem.
	244	*
	245	* @param[in] g a pointer to the geod_geodesic object specifying the
	246	* ellipsoid.
	247	* @param[in] lat1 latitude of point 1 (degrees).
	248	* @param[in] lon1 longitude of point 1 (degrees).
	249	* @param[in] azi1 azimuth at point 1 (degrees).
	250	* @param[in] s12 distance between point 1 and point 2 (meters); it can be
	251	* negative.
	252	* @param[out] plat2 pointer to the latitude of point 2 (degrees).
	253	* @param[out] plon2 pointer to the longitude of point 2 (degrees).
	254	* @param[out] pazi2 pointer to the (forward) azimuth at point 2 (degrees).
	255	*
	256	* \e g must have been initialized with a call to geod_init(). \e lat1
	257	* should be in the range [−90°, 90°]; \e lon1 and \e azi1
	258	* should be in the range [−540°, 540°). The values of \e lon2
	259	* and \e azi2 returned are in the range [−180°, 180°). Any of
	260	* the "return" arguments \e plat2, etc., may be replaced by 0, if you do not
	261	* need some quantities computed.
	262	*
	263	* If either point is at a pole, the azimuth is defined by keeping the
	264	* longitude fixed, writing \e lat = ±(90° − ε), and
	265	* taking the limit ε → 0+. An arc length greater that 180°
	266	* signifies a geodesic which is not a shortest path. (For a prolate
	267	* ellipsoid, an additional condition is necessary for a shortest path: the
	268	* longitudinal extent must not exceed of 180°.)
	269	*
	270	* Example, determine the point 10000 km NE of JFK:
	271	@code
	272	struct geod_geodesic g;
	273	double lat, lon;
	274	geod_init(&g, 6378137, 1/298.257223563);
	275	geod_direct(&g, 40.64, -73.78, 45.0, 10e6, &lat, &lon, 0);
	276	printf("%.5f %.5f\n", lat, lon);
	277	@endcode
	278	**********************************************************************/
	279	void geod_direct(const struct geod_geodesic* g,
	280	double lat1, double lon1, double azi1, double s12,
	281	double* plat2, double* plon2, double* pazi2);
	282
	283	/**
	284	* Solve the inverse geodesic problem.
	285	*
	286	* @param[in] g a pointer to the geod_geodesic object specifying the
	287	* ellipsoid.
	288	* @param[in] lat1 latitude of point 1 (degrees).
	289	* @param[in] lon1 longitude of point 1 (degrees).
	290	* @param[in] lat2 latitude of point 2 (degrees).
	291	* @param[in] lon2 longitude of point 2 (degrees).
	292	* @param[out] ps12 pointer to the distance between point 1 and point 2
	293	* (meters).
	294	* @param[out] pazi1 pointer to the azimuth at point 1 (degrees).
	295	* @param[out] pazi2 pointer to the (forward) azimuth at point 2 (degrees).
	296	*
	297	* \e g must have been initialized with a call to geod_init(). \e lat1
	298	* and \e lat2 should be in the range [−90°, 90°]; \e lon1 and
	299	* \e lon2 should be in the range [−540°, 540°). The values of
	300	* \e azi1 and \e azi2 returned are in the range [−180°, 180°).
	301	* Any of the "return" arguments \e ps12, etc., may be replaced by 0, if you
	302	* do not need some quantities computed.
	303	*
	304	* If either point is at a pole, the azimuth is defined by keeping the
	305	* longitude fixed, writing \e lat = ±(90° − ε), and
	306	* taking the limit ε → 0+.
	307	*
	308	* The solution to the inverse problem is found using Newton's method. If
	309	* this fails to converge (this is very unlikely in geodetic applications
	310	* but does occur for very eccentric ellipsoids), then the bisection method
	311	* is used to refine the solution.
	312	*
	313	* Example, determine the distance between JFK and Singapore Changi Airport:
	314	@code
	315	struct geod_geodesic g;
	316	double s12;
	317	geod_init(&g, 6378137, 1/298.257223563);
	318	geod_inverse(&g, 40.64, -73.78, 1.36, 103.99, &s12, 0, 0);
	319	printf("%.3f\n", s12);
	320	@endcode
	321	**********************************************************************/
	322	void geod_inverse(const struct geod_geodesic* g,
178	323	double lat1, double lon1, double lat2, double lon2,
179		double* ps12, double* pazi1, double* pazi2,
180		double* pm12, double* pM12, double* pM21, double* pS12);
181		double GenPosition(const struct GeodesicLine* l,
182		int arcmode, double s12_a12,
183		double* plat2, double* plon2, double* pazi2,
184		double* ps12, double* pm12,
185		double* pM12, double* pM21,
186		double* pS12);
187
188		enum mask {
189		NONE = 0U,
190		LATITUDE = 1U<<7 \| 0U,
191		LONGITUDE = 1U<<8 \| 1U<<3,
192		AZIMUTH = 1U<<9 \| 0U,
193		DISTANCE = 1U<<10 \| 1U<<0,
194		DISTANCE_IN = 1U<<11 \| 1U<<0 \| 1U<<1,
195		REDUCEDLENGTH = 1U<<12 \| 1U<<0 \| 1U<<2,
196		GEODESICSCALE = 1U<<13 \| 1U<<0 \| 1U<<2,
197		AREA = 1U<<14 \| 1U<<4,
198		ALL = 0x7F80U\| 0x1FU
	324	double* ps12, double* pazi1, double* pazi2);
	325
	326	/**
	327	* Compute the position along a geod_geodesicline.
	328	*
	329	* @param[in] l a pointer to the geod_geodesicline object specifying the
	330	* geodesic line.
	331	* @param[in] s12 distance between point 1 and point 2 (meters); it can be
	332	* negative.
	333	* @param[out] plat2 pointer to the latitude of point 2 (degrees).
	334	* @param[out] plon2 pointer to the longitude of point 2 (degrees); requires
	335	* that \e l was initialized with \e caps \|= GEOD_LONGITUDE.
	336	* @param[out] pazi2 pointer to the (forward) azimuth at point 2 (degrees).
	337	*
	338	* \e l must have been initialized with a call to geod_lineinit() with \e
	339	* caps \|= GEOD_DISTANCE_IN. The values of \e lon2 and \e azi2 returned are
	340	* in the range [−180°, 180°). Any of the "return" arguments
	341	* \e plat2, etc., may be replaced by 0, if you do not need some quantities
	342	* computed.
	343	*
	344	* Example, compute way points between JFK and Singapore Changi Airport
	345	* the "obvious" way using geod_direct():
	346	@code
	347	struct geod_geodesic g;
	348	double s12, azi1, lat[101],lon[101];
	349	int i;
	350	geod_init(&g, 6378137, 1/298.257223563);
	351	geod_inverse(&g, 40.64, -73.78, 1.36, 103.99, &s12, &azi1, 0);
	352	for (i = 0; i < 101; ++i) {
	353	geod_direct(&g, 40.64, -73.78, azi1, i * s12 * 0.01, lat + i, lon + i, 0);
	354	printf("%.5f %.5f\n", lat[i], lon[i]);
	355	}
	356	@endcode
	357	* A faster way using geod_position():
	358	@code
	359	struct geod_geodesic g;
	360	struct geod_geodesicline l;
	361	double s12, azi1, lat[101],lon[101];
	362	int i;
	363	geod_init(&g, 6378137, 1/298.257223563);
	364	geod_inverse(&g, 40.64, -73.78, 1.36, 103.99, &s12, &azi1, 0);
	365	geod_lineinit(&l, &g, 40.64, -73.78, azi1, 0);
	366	for (i = 0; i < 101; ++i) {
	367	geod_position(&l, i * s12 * 0.01, lat + i, lon + i, 0);
	368	printf("%.5f %.5f\n", lat[i], lon[i]);
	369	}
	370	@endcode
	371	**********************************************************************/
	372	void geod_position(const struct geod_geodesicline* l, double s12,
	373	double* plat2, double* plon2, double* pazi2);
	374
	375	/**
	376	* The general direct geodesic problem.
	377	*
	378	* @param[in] g a pointer to the geod_geodesic object specifying the
	379	* ellipsoid.
	380	* @param[in] lat1 latitude of point 1 (degrees).
	381	* @param[in] lon1 longitude of point 1 (degrees).
	382	* @param[in] azi1 azimuth at point 1 (degrees).
	383	* @param[in] arcmode flag determining the meaning of the \e
	384	* s12_a12.
	385	* @param[in] s12_a12 if \e arcmode is 0, this is the distance between
	386	* point 1 and point 2 (meters); otherwise it is the arc length between
	387	* point 1 and point 2 (degrees); it can be negative.
	388	* @param[out] plat2 pointer to the latitude of point 2 (degrees).
	389	* @param[out] plon2 pointer to the longitude of point 2 (degrees).
	390	* @param[out] pazi2 pointer to the (forward) azimuth at point 2 (degrees).
	391	* @param[out] ps12 pointer to the distance between point 1 and point 2
	392	* (meters).
	393	* @param[out] pm12 pointer to the reduced length of geodesic (meters).
	394	* @param[out] pM12 pointer to the geodesic scale of point 2 relative to
	395	* point 1 (dimensionless).
	396	* @param[out] pM21 pointer to the geodesic scale of point 1 relative to
	397	* point 2 (dimensionless).
	398	* @param[out] pS12 pointer to the area under the geodesic
	399	* (meters<sup>2</sup>).
	400	* @return \e a12 arc length of between point 1 and point 2 (degrees).
	401	*
	402	* \e g must have been initialized with a call to geod_init(). \e lat1
	403	* should be in the range [−90°, 90°]; \e lon1 and \e azi1
	404	* should be in the range [−540°, 540°). The function value \e
	405	* a12 equals \e s12_a12 is \e arcmode is non-zero. Any of the "return"
	406	* arguments \e plat2, etc., may be replaced by 0, if you do not need some
	407	* quantities computed.
	408	**********************************************************************/
	409	double geod_gendirect(const struct geod_geodesic* g,
	410	double lat1, double lon1, double azi1,
	411	int arcmode, double s12_a12,
	412	double* plat2, double* plon2, double* pazi2,
	413	double* ps12, double* pm12, double* pM12, double* pM21,
	414	double* pS12);
	415
	416	/**
	417	* The general inverse geodesic calculation.
	418	*
	419	* @param[in] g a pointer to the geod_geodesic object specifying the
	420	* ellipsoid.
	421	* @param[in] lat1 latitude of point 1 (degrees).
	422	* @param[in] lon1 longitude of point 1 (degrees).
	423	* @param[in] lat2 latitude of point 2 (degrees).
	424	* @param[in] lon2 longitude of point 2 (degrees).
	425	* @param[out] ps12 pointer to the distance between point 1 and point 2
	426	* (meters).
	427	* @param[out] pazi1 pointer to the azimuth at point 1 (degrees).
	428	* @param[out] pazi2 pointer to the (forward) azimuth at point 2 (degrees).
	429	* @param[out] pm12 pointer to the reduced length of geodesic (meters).
	430	* @param[out] pM12 pointer to the geodesic scale of point 2 relative to
	431	* point 1 (dimensionless).
	432	* @param[out] pM21 pointer to the geodesic scale of point 1 relative to
	433	* point 2 (dimensionless).
	434	* @param[out] pS12 pointer to the area under the geodesic
	435	* (meters<sup>2</sup>).
	436	* @return \e a12 arc length of between point 1 and point 2 (degrees).
	437	*
	438	* \e g must have been initialized with a call to geod_init(). \e lat1
	439	* and \e lat2 should be in the range [−90°, 90°]; \e lon1 and
	440	* \e lon2 should be in the range [−540°, 540°). Any of the
	441	* "return" arguments \e ps12, etc., may be replaced by 0, if you do not need
	442	* some quantities computed.
	443	**********************************************************************/
	444	double geod_geninverse(const struct geod_geodesic* g,
	445	double lat1, double lon1, double lat2, double lon2,
	446	double* ps12, double* pazi1, double* pazi2,
	447	double* pm12, double* pM12, double* pM21,
	448	double* pS12);
	449
	450	/**
	451	* The general position function.
	452	*
	453	* @param[in] l a pointer to the geod_geodesicline object specifying the
	454	* geodesic line.
	455	* @param[in] arcmode flag determining the meaning of the second parameter;
	456	* if arcmode is 0, then \e l must have been initialized with \e caps \|=
	457	* GEOD_DISTANCE_IN.
	458	* @param[in] s12_a12 if \e arcmode is 0, this is the distance between
	459	* point 1 and point 2 (meters); otherwise it is the arc length between
	460	* point 1 and point 2 (degrees); it can be negative.
	461	* @param[out] plat2 pointer to the latitude of point 2 (degrees).
	462	* @param[out] plon2 pointer to the longitude of point 2 (degrees); requires
	463	* that \e l was initialized with \e caps \|= GEOD_LONGITUDE.
	464	* @param[out] pazi2 pointer to the (forward) azimuth at point 2 (degrees).
	465	* @param[out] ps12 pointer to the distance between point 1 and point 2
	466	* (meters); requires that \e l was initialized with \e caps \|=
	467	* GEOD_DISTANCE.
	468	* @param[out] pm12 pointer to the reduced length of geodesic (meters);
	469	* requires that \e l was initialized with \e caps \|= GEOD_REDUCEDLENGTH.
	470	* @param[out] pM12 pointer to the geodesic scale of point 2 relative to
	471	* point 1 (dimensionless); requires that \e l was initialized with \e caps
	472	* \|= GEOD_GEODESICSCALE.
	473	* @param[out] pM21 pointer to the geodesic scale of point 1 relative to
	474	* point 2 (dimensionless); requires that \e l was initialized with \e caps
	475	* \|= GEOD_GEODESICSCALE.
	476	* @param[out] pS12 pointer to the area under the geodesic
	477	* (meters<sup>2</sup>); requires that \e l was initialized with \e caps \|=
	478	* GEOD_AREA.
	479	* @return \e a12 arc length of between point 1 and point 2 (degrees).
	480	*
	481	* \e l must have been initialized with a call to geod_lineinit() with \e
	482	* caps \|= GEOD_DISTANCE_IN. The values of \e lon2 and \e azi2 returned are
	483	* in the range [−180°, 180°). Any of the "return" arguments
	484	* \e plat2, etc., may be replaced by 0, if you do not need some quantities
	485	* computed. Requesting a value which \e l is not capable of computing is
	486	* not an error; the corresponding argument will not be altered.
	487	*
	488	* Example, compute way points between JFK and Singapore Changi Airport
	489	* using geod_genposition(). In this example, the points are evenly space in
	490	* arc length (and so only approximately equally space in distance). This is
	491	* faster than using geod_position() would be appropriate if drawing the path
	492	* on a map.
	493	@code
	494	struct geod_geodesic g;
	495	struct geod_geodesicline l;
	496	double a12, azi1, lat[101],lon[101];
	497	int i;
	498	geod_init(&g, 6378137, 1/298.257223563);
	499	a12 = geod_geninverse(&g, 40.64, -73.78, 1.36, 103.99,
	500	0, &azi1, 0, 0, 0, 0, 0);
	501	geod_lineinit(&l, &g, 40.64, -73.78, azi1, GEOD_LATITUDE \| GEOD_LONGITUDE);
	502	for (i = 0; i < 101; ++i) {
	503	geod_genposition(&l, 1, i * a12 * 0.01,
	504	lat + i, lon + i, 0, 0, 0, 0, 0, 0);
	505	printf("%.5f %.5f\n", lat[i], lon[i]);
	506	}
	507	@endcode
	508	**********************************************************************/
	509	double geod_genposition(const struct geod_geodesicline* l,
	510	int arcmode, double s12_a12,
	511	double* plat2, double* plon2, double* pazi2,
	512	double* ps12, double* pm12,
	513	double* pM12, double* pM21,
	514	double* pS12);
	515
	516	/**
	517	* Initialize a geod_polygon object.
	518	*
	519	* @param[out] p a pointer to the object to be initialized.
	520	* @param[in] polylinep non-zero if a polyline instead of a polygon.
	521	*
	522	* If \e polylinep is zero, then the sequence of vertices and edges added by
	523	* geod_polygon_addpoint() and geod_polygon_addedge() define a polygon and
	524	* the perimeter and area are returned by geod_polygon_compute(). If \e
	525	* polylinep is non-zero, then the vertices and edges define a polyline and
	526	* only the perimeter is returned by geod_polygon_compute().
	527	*
	528	* An example of the use of this function is given in the documentation for
	529	* geod_polygon_compute().
	530	**********************************************************************/
	531	void geod_polygon_init(struct geod_polygon* p, int polylinep);
	532
	533	/**
	534	* Add a point to the polygon or polyline.
	535	*
	536	* @param[in] g a pointer to the geod_geodesic object specifying the
	537	* ellipsoid.
	538	* @param[in,out] p a pointer to the geod_polygon object specifying the
	539	* polygon.
	540	* @param[in] lat the latitude of the point (degrees).
	541	* @param[in] lon the longitude of the point (degrees).
	542	*
	543	* \e g and \e p must have been initialized with calls to geod_init() and
	544	* geod_polygon_init(), respectively. The same \e g must be used for all the
	545	* points and edges in a polygon. \e lat should be in the range
	546	* [−90°, 90°] and \e lon should be in the range
	547	* [−540°, 540°).
	548	*
	549	* An example of the use of this function is given in the documentation for
	550	* geod_polygon_compute().
	551	**********************************************************************/
	552	void geod_polygon_addpoint(const struct geod_geodesic* g,
	553	struct geod_polygon* p,
	554	double lat, double lon);
	555
	556	/**
	557	* Add an edge to the polygon or polyline.
	558	*
	559	* @param[in] g a pointer to the geod_geodesic object specifying the
	560	* ellipsoid.
	561	* @param[in,out] p a pointer to the geod_polygon object specifying the
	562	* polygon.
	563	* @param[in] azi azimuth at current point (degrees).
	564	* @param[in] s distance from current point to next point (meters).
	565	*
	566	* \e g and \e p must have been initialized with calls to geod_init() and
	567	* geod_polygon_init(), respectively. The same \e g must be used for all the
	568	* points and edges in a polygon. \e azi should be in the range
	569	* [−540°, 540°). This does nothing if no points have been
	570	* added yet. The \e lat and \e lon fields of \e p give the location of
	571	* the new vertex.
	572	**********************************************************************/
	573	void geod_polygon_addedge(const struct geod_geodesic* g,
	574	struct geod_polygon* p,
	575	double azi, double s);
	576
	577	/**
	578	* Return the results for a polygon.
	579	*
	580	* @param[in] g a pointer to the geod_geodesic object specifying the
	581	* ellipsoid.
	582	* @param[in] p a pointer to the geod_polygon object specifying the polygon.
	583	* @param[in] reverse if non-zero then clockwise (instead of
	584	* counter-clockwise) traversal counts as a positive area.
	585	* @param[in] sign if non-zero then return a signed result for the area if
	586	* the polygon is traversed in the "wrong" direction instead of returning
	587	* the area for the rest of the earth.
	588	* @param[out] pA pointer to the area of the polygon (meters<sup>2</sup>);
	589	* only set if \e polyline is non-zero in the call to geod_polygon_init().
	590	* @param[out] pP pointer to the perimeter of the polygon or length of the
	591	* polyline (meters).
	592	* @return the number of points.
	593	*
	594	* Only simple polygons (which are not self-intersecting) are allowed.
	595	* There's no need to "close" the polygon by repeating the first vertex. Set
	596	* \e pA or \e pP to zero, if you do not want the corresponding quantity
	597	* returned.
	598	*
	599	* Example, compute the perimeter and area of the geodesic triangle with
	600	* vertices (0°N,0°E), (0°N,90°E), (90°N,0°E).
	601	@code
	602	double A, P;
	603	int n;
	604	struct geod_geodesic g;
	605	struct geod_polygon p;
	606	geod_init(&g, 6378137, 1/298.257223563);
	607	geod_polygon_init(&p, 0);
	608
	609	geod_polygon_addpoint(&g, &p, 0, 0);
	610	geod_polygon_addpoint(&g, &p, 0, 90);
	611	geod_polygon_addpoint(&g, &p, 90, 0);
	612	n = geod_polygon_compute(&g, &p, 0, 1, &A, &P);
	613	printf("%d %.8f %.3f\n", n, P, A);
	614	@endcode
	615	**********************************************************************/
	616	unsigned geod_polygon_compute(const struct geod_geodesic* g,
	617	const struct geod_polygon* p,
	618	int reverse, int sign,
	619	double* pA, double* pP);
	620
	621	/**
	622	* Return the results assuming a tentative final test point is added;
	623	* however, the data for the test point is not saved. This lets you report a
	624	* running result for the perimeter and area as the user moves the mouse
	625	* cursor. Ordinary floating point arithmetic is used to accumulate the data
	626	* for the test point; thus the area and perimeter returned are less accurate
	627	* than if geod_polygon_addpoint() and geod_polygon_compute() are used.
	628	*
	629	* @param[in] g a pointer to the geod_geodesic object specifying the
	630	* ellipsoid.
	631	* @param[in] p a pointer to the geod_polygon object specifying the polygon.
	632	* @param[in] lat the latitude of the test point (degrees).
	633	* @param[in] lon the longitude of the test point (degrees).
	634	* @param[in] reverse if non-zero then clockwise (instead of
	635	* counter-clockwise) traversal counts as a positive area.
	636	* @param[in] sign if non-zero then return a signed result for the area if
	637	* the polygon is traversed in the "wrong" direction instead of returning
	638	* the area for the rest of the earth.
	639	* @param[out] pA pointer to the area of the polygon (meters<sup>2</sup>);
	640	* only set if \e polyline is non-zero in the call to geod_polygon_init().
	641	* @param[out] pP pointer to the perimeter of the polygon or length of the
	642	* polyline (meters).
	643	* @return the number of points.
	644	*
	645	* \e lat should be in the range [−90°, 90°] and \e
	646	* lon should be in the range [−540°, 540°).
	647	**********************************************************************/
	648	unsigned geod_polygon_testpoint(const struct geod_geodesic* g,
	649	const struct geod_polygon* p,
	650	double lat, double lon,
	651	int reverse, int sign,
	652	double* pA, double* pP);
	653
	654	/**
	655	* Return the results assuming a tentative final test point is added via an
	656	* azimuth and distance; however, the data for the test point is not saved.
	657	* This lets you report a running result for the perimeter and area as the
	658	* user moves the mouse cursor. Ordinary floating point arithmetic is used
	659	* to accumulate the data for the test point; thus the area and perimeter
	660	* returned are less accurate than if geod_polygon_addedge() and
	661	* geod_polygon_compute() are used.
	662	*
	663	* @param[in] g a pointer to the geod_geodesic object specifying the
	664	* ellipsoid.
	665	* @param[in] p a pointer to the geod_polygon object specifying the polygon.
	666	* @param[in] azi azimuth at current point (degrees).
	667	* @param[in] s distance from current point to final test point (meters).
	668	* @param[in] reverse if non-zero then clockwise (instead of
	669	* counter-clockwise) traversal counts as a positive area.
	670	* @param[in] sign if non-zero then return a signed result for the area if
	671	* the polygon is traversed in the "wrong" direction instead of returning
	672	* the area for the rest of the earth.
	673	* @param[out] pA pointer to the area of the polygon (meters<sup>2</sup>);
	674	* only set if \e polyline is non-zero in the call to geod_polygon_init().
	675	* @param[out] pP pointer to the perimeter of the polygon or length of the
	676	* polyline (meters).
	677	* @return the number of points.
	678	*
	679	* \e azi should be in the range [−540°, 540°).
	680	**********************************************************************/
	681	unsigned geod_polygon_testedge(const struct geod_geodesic* g,
	682	const struct geod_polygon* p,
	683	double azi, double s,
	684	int reverse, int sign,
	685	double* pA, double* pP);
	686
	687	/**
	688	* A simple interface for computing the area of a geodesic polygon.
	689	*
	690	* @param[in] g a pointer to the geod_geodesic object specifying the
	691	* ellipsoid.
	692	* @param[in] lats an array of latitudes of the polygon vertices (degrees).
	693	* @param[in] lons an array of longitudes of the polygon vertices (degrees).
	694	* @param[in] n the number of vertices.
	695	* @param[out] pA pointer to the area of the polygon (meters<sup>2</sup>).
	696	* @param[out] pP pointer to the perimeter of the polygon (meters).
	697	*
	698	* \e lats should be in the range [−90°, 90°]; \e lons should
	699	* be in the range [−540°, 540°).
	700	*
	701	* Only simple polygons (which are not self-intersecting) are allowed.
	702	* There's no need to "close" the polygon by repeating the first vertex. The
	703	* area returned is signed with counter-clockwise traversal being treated as
	704	* positive.
	705	*
	706	* Example, compute the area of Antarctic:
	707	@code
	708	double
	709	lats[] = {-72.9, -71.9, -74.9, -74.3, -77.5, -77.4, -71.7, -65.9, -65.7,
	710	-66.6, -66.9, -69.8, -70.0, -71.0, -77.3, -77.9, -74.7},
	711	lons[] = {-74, -102, -102, -131, -163, 163, 172, 140, 113,
	712	88, 59, 25, -4, -14, -33, -46, -61};
	713	struct geod_geodesic g;
	714	double A, P;
	715	geod_init(&g, 6378137, 1/298.257223563);
	716	geod_polygonarea(&g, lats, lons, (sizeof lats) / (sizeof lats[0]), &A, &P);
	717	printf("%.0f %.2f\n", A, P);
	718	@endcode
	719	**********************************************************************/
	720	void geod_polygonarea(const struct geod_geodesic* g,
	721	double lats[], double lons[], int n,
	722	double* pA, double* pP);
	723
	724	/**
	725	* mask values for the the \e caps argument to geod_lineinit().
	726	**********************************************************************/
	727	enum geod_mask {
	728	GEOD_NONE = 0U, /*< Calculate nothing /
	729	GEOD_LATITUDE = 1U<<7 \| 0U, /*< Calculate latitude /
	730	GEOD_LONGITUDE = 1U<<8 \| 1U<<3, /*< Calculate longitude /
	731	GEOD_AZIMUTH = 1U<<9 \| 0U, /*< Calculate azimuth /
	732	GEOD_DISTANCE = 1U<<10 \| 1U<<0, /*< Calculate distance /
	733	GEOD_DISTANCE_IN = 1U<<11 \| 1U<<0 \| 1U<<1, /*< Allow distance as input /
	734	GEOD_REDUCEDLENGTH= 1U<<12 \| 1U<<0 \| 1U<<2, /*< Calculate reduced length /
	735	GEOD_GEODESICSCALE= 1U<<13 \| 1U<<0 \| 1U<<2, /*< Calculate geodesic scale /
	736	GEOD_AREA = 1U<<14 \| 1U<<4, /*< Calculate reduced length /
	737	GEOD_ALL = 0x7F80U\| 0x1FU /*< Calculate everything /
199	738	};
200	739
201	740	#if defined(__cplusplus)

+166

-150

src/mk_cheby.c less more

0	0	#include <projects.h>
1		static void /* sum coefficients less than res */
	1	static void /* sum coefficients less than res */
2	2	eval(projUV *w, int nu, int nv, double res, projUV resid) {
3		int i, j;
4		double ab;
5		projUV *s;
	3	int i, j;
	4	double ab;
	5	projUV *s;
6	6
7		resid->u = resid->v = 0.;
8		for (i = 0; i < nu; ++i)
9		for (s = w[i], j = 0; j < nv; ++j, ++s) {
10		if ((ab = fabs(s->u)) < res)
11		resid->u += ab;
12		if ((ab = fabs(s->v)) < res)
13		resid->v += ab;
14		}
	7	resid->u = resid->v = 0.;
	8	for (i = 0; i < nu; ++i)
	9	for (s = w[i], j = 0; j < nv; ++j, ++s) {
	10	if ((ab = fabs(s->u)) < res)
	11	resid->u += ab;
	12	if ((ab = fabs(s->v)) < res)
	13	resid->v += ab;
	14	}
15	15	}
16		static Tseries * /* create power series structure */
	16	static Tseries * /* create power series structure */
17	17	makeT(int nru, int nrv) {
18		Tseries *T;
19		int i;
	18	Tseries *T;
	19	int i;
20	20
21		if ((T = (Tseries *)pj_malloc(sizeof(Tseries))) &&
22		(T->cu = (struct PW_COEF *)pj_malloc(
23		sizeof(struct PW_COEF) * nru)) &&
24		(T->cv = (struct PW_COEF *)pj_malloc(
25		sizeof(struct PW_COEF) * nrv))) {
26		for (i = 0; i < nru; ++i)
27		T->cu[i].c = 0;
28		for (i = 0; i < nrv; ++i)
29		T->cv[i].c = 0;
30		return T;
31		} else
32		return 0;
	21	if ((T = (Tseries *)pj_malloc(sizeof(Tseries))) &&
	22	(T->cu = (struct PW_COEF *)pj_malloc(
	23	sizeof(struct PW_COEF) * nru)) &&
	24	(T->cv = (struct PW_COEF *)pj_malloc(
	25	sizeof(struct PW_COEF) * nrv))) {
	26	for (i = 0; i < nru; ++i)
	27	T->cu[i].c = 0;
	28	for (i = 0; i < nrv; ++i)
	29	T->cv[i].c = 0;
	30	return T;
	31	} else
	32	return 0;
33	33	}
34		Tseries *
	34	Tseries *
35	35	mk_cheby(projUV a, projUV b, double res, projUV resid, projUV (func)(projUV),
36		int nu, int nv, int power) {
37		int j, i, nru, nrv, ncu, ncv;
38		Tseries *T;
39		projUV **w;
40		double cutres;
	36	int nu, int nv, int power) {
	37	int j, i, nru, nrv, ncu, ncv;
	38	Tseries *T;
	39	projUV **w;
	40	double cutres;
41	41
42		if (!(w = (projUV **)vector2(nu, nv, sizeof(projUV))) \|\|
43		!(ncu = (int *)vector1(nu + nv, sizeof(int))))
44		return 0;
45		ncv = ncu + nu;
46		if (!bchgen(a, b, nu, nv, w, func)) {
47		projUV *s;
48		double ab, *p;
	42	if (!(w = (projUV **)vector2(nu, nv, sizeof(projUV))) \|\|
	43	!(ncu = (int *)vector1(nu + nv, sizeof(int))))
	44	return 0;
	45	ncv = ncu + nu;
	46	if (!bchgen(a, b, nu, nv, w, func)) {
	47	projUV *s;
	48	double ab, *p;
49	49
50		/* analyse coefficients and adjust until residual OK */
51		cutres = res;
52		for (i = 4; i ; --i) {
53		eval(w, nu, nv, cutres, resid);
54		if (resid->u < res && resid->v < res)
55		break;
56		cutres *= 0.5;
57		}
58		if (i <= 0) /* warn of too many tries */
59		resid->u = - resid->u;
60		/* apply cut resolution and set pointers */
61		nru = nrv = 0;
62		for (j = 0; j < nu; ++j) {
63		ncu[j] = ncv[j] = 0; /* clear column maxes */
64		for (s = w[j], i = 0; i < nv; ++i, ++s) {
65		if ((ab = fabs(s->u)) < cutres) /* < resolution ? */
66		s->u = 0.; /* clear coefficient */
67		else
68		ncu[j] = i + 1; /* update column max */
69		if ((ab = fabs(s->v)) < cutres) /* same for v coef's */
70		s->v = 0.;
71		else
72		ncv[j] = i + 1;
73		}
74		if (ncu[j]) nru = j + 1; /* update row max */
75		if (ncv[j]) nrv = j + 1;
76		}
77		if (power) { /* convert to bivariate power series */
78		if (!bch2bps(a, b, w, nu, nv))
79		goto error;
80		/* possible change in some row counts, so readjust */
81		nru = nrv = 0;
82		for (j = 0; j < nu; ++j) {
83		ncu[j] = ncv[j] = 0; /* clear column maxes */
84		for (s = w[j], i = 0; i < nv; ++i, ++s) {
85		if (s->u)
86		ncu[j] = i + 1; /* update column max */
87		if (s->v)
88		ncv[j] = i + 1;
89		}
90		if (ncu[j]) nru = j + 1; /* update row max */
91		if (ncv[j]) nrv = j + 1;
92		}
93		if ((T = makeT(nru, nrv)) != NULL ) {
94		T->a = a;
95		T->b = b;
96		T->mu = nru - 1;
97		T->mv = nrv - 1;
98		T->power = 1;
99		for (i = 0; i < nru; ++i) /* store coefficient rows for u */
100		if ((T->cu[i].m = ncu[i]) != 0)
101		if ((p = T->cu[i].c =
102		(double )pj_malloc(sizeof(double) ncu[i])))
103		for (j = 0; j < ncu[i]; ++j)
104		*p++ = (w[i] + j)->u;
105		else
106		goto error;
107		for (i = 0; i < nrv; ++i) /* same for v */
108		if ((T->cv[i].m = ncv[i]) != 0)
109		if ((p = T->cv[i].c =
110		(double )pj_malloc(sizeof(double) ncv[i])))
111		for (j = 0; j < ncv[i]; ++j)
112		*p++ = (w[i] + j)->v;
113		else
114		goto error;
115		}
116		} else if ((T = makeT(nru, nrv)) != NULL) {
117		/* else make returned Chebyshev coefficient structure */
118		T->mu = nru - 1; /* save row degree */
119		T->mv = nrv - 1;
120		T->a.u = a.u + b.u; /* set argument scaling */
121		T->a.v = a.v + b.v;
122		T->b.u = 1. / (b.u - a.u);
123		T->b.v = 1. / (b.v - a.v);
124		T->power = 0;
125		for (i = 0; i < nru; ++i) /* store coefficient rows for u */
126		if ((T->cu[i].m = ncu[i]) != 0)
127		if ((p = T->cu[i].c =
128		(double )pj_malloc(sizeof(double) ncu[i])))
129		for (j = 0; j < ncu[i]; ++j)
130		*p++ = (w[i] + j)->u;
131		else
132		goto error;
133		for (i = 0; i < nrv; ++i) /* same for v */
134		if ((T->cv[i].m = ncv[i]) != 0)
135		if ((p = T->cv[i].c =
136		(double )pj_malloc(sizeof(double) ncv[i])))
137		for (j = 0; j < ncv[i]; ++j)
138		*p++ = (w[i] + j)->v;
139		else
140		goto error;
141		} else
142		goto error;
143		}
144		goto gohome;
145		error:
146		if (T) { /* pj_dalloc up possible allocations */
147		for (i = 0; i <= T->mu; ++i)
148		if (T->cu[i].c)
149		pj_dalloc(T->cu[i].c);
150		for (i = 0; i <= T->mv; ++i)
151		if (T->cv[i].c)
152		pj_dalloc(T->cv[i].c);
153		pj_dalloc(T);
154		}
155		T = 0;
156		gohome:
157		freev2((void **) w, nu);
158		pj_dalloc(ncu);
159		return T;
	50	/* analyse coefficients and adjust until residual OK */
	51	cutres = res;
	52	for (i = 4; i ; --i) {
	53	eval(w, nu, nv, cutres, resid);
	54	if (resid->u < res && resid->v < res)
	55	break;
	56	cutres *= 0.5;
	57	}
	58	if (i <= 0) /* warn of too many tries */
	59	resid->u = - resid->u;
	60	/* apply cut resolution and set pointers */
	61	nru = nrv = 0;
	62	for (j = 0; j < nu; ++j) {
	63	ncu[j] = ncv[j] = 0; /* clear column maxes */
	64	for (s = w[j], i = 0; i < nv; ++i, ++s) {
	65	if ((ab = fabs(s->u)) < cutres) /* < resolution ? */
	66	s->u = 0.; /* clear coefficient */
	67	else
	68	ncu[j] = i + 1; /* update column max */
	69	if ((ab = fabs(s->v)) < cutres) /* same for v coef's */
	70	s->v = 0.;
	71	else
	72	ncv[j] = i + 1;
	73	}
	74	if (ncu[j]) nru = j + 1; /* update row max */
	75	if (ncv[j]) nrv = j + 1;
	76	}
	77	if (power) { /* convert to bivariate power series */
	78	if (!bch2bps(a, b, w, nu, nv))
	79	goto error;
	80	/* possible change in some row counts, so readjust */
	81	nru = nrv = 0;
	82	for (j = 0; j < nu; ++j) {
	83	ncu[j] = ncv[j] = 0; /* clear column maxes */
	84	for (s = w[j], i = 0; i < nv; ++i, ++s) {
	85	if (s->u)
	86	ncu[j] = i + 1; /* update column max */
	87	if (s->v)
	88	ncv[j] = i + 1;
	89	}
	90	if (ncu[j]) nru = j + 1; /* update row max */
	91	if (ncv[j]) nrv = j + 1;
	92	}
	93	if ((T = makeT(nru, nrv)) != NULL ) {
	94	T->a = a;
	95	T->b = b;
	96	T->mu = nru - 1;
	97	T->mv = nrv - 1;
	98	T->power = 1;
	99	for (i = 0; i < nru; ++i) /* store coefficient rows for u */
	100	{
	101	if ((T->cu[i].m = ncu[i]) != 0)
	102	{
	103	if ((p = T->cu[i].c =
	104	(double )pj_malloc(sizeof(double) ncu[i])))
	105	for (j = 0; j < ncu[i]; ++j)
	106	*p++ = (w[i] + j)->u;
	107	else
	108	goto error;
	109	}
	110	}
	111	for (i = 0; i < nrv; ++i) /* same for v */
	112	{
	113	if ((T->cv[i].m = ncv[i]) != 0)
	114	{
	115	if ((p = T->cv[i].c =
	116	(double )pj_malloc(sizeof(double) ncv[i])))
	117	for (j = 0; j < ncv[i]; ++j)
	118	*p++ = (w[i] + j)->v;
	119	else
	120	goto error;
	121	}
	122	}
	123	}
	124	} else if ((T = makeT(nru, nrv)) != NULL) {
	125	/* else make returned Chebyshev coefficient structure */
	126	T->mu = nru - 1; /* save row degree */
	127	T->mv = nrv - 1;
	128	T->a.u = a.u + b.u; /* set argument scaling */
	129	T->a.v = a.v + b.v;
	130	T->b.u = 1. / (b.u - a.u);
	131	T->b.v = 1. / (b.v - a.v);
	132	T->power = 0;
	133	for (i = 0; i < nru; ++i) /* store coefficient rows for u */
	134	{
	135	if ((T->cu[i].m = ncu[i]) != 0)
	136	{
	137	if ((p = T->cu[i].c =
	138	(double )pj_malloc(sizeof(double) ncu[i])))
	139	for (j = 0; j < ncu[i]; ++j)
	140	*p++ = (w[i] + j)->u;
	141	else
	142	goto error;
	143	}
	144	}
	145	for (i = 0; i < nrv; ++i) /* same for v */
	146	{
	147	if ((T->cv[i].m = ncv[i]) != 0)
	148	{
	149	if ((p = T->cv[i].c =
	150	(double )pj_malloc(sizeof(double) ncv[i])))
	151	for (j = 0; j < ncv[i]; ++j)
	152	*p++ = (w[i] + j)->v;
	153	else
	154	goto error;
	155	}
	156	}
	157	} else
	158	goto error;
	159	}
	160	goto gohome;
	161	error:
	162	if (T) { /* pj_dalloc up possible allocations */
	163	for (i = 0; i <= T->mu; ++i)
	164	if (T->cu[i].c)
	165	pj_dalloc(T->cu[i].c);
	166	for (i = 0; i <= T->mv; ++i)
	167	if (T->cv[i].c)
	168	pj_dalloc(T->cv[i].c);
	169	pj_dalloc(T);
	170	}
	171	T = 0;
	172	gohome:
	173	freev2((void **) w, nu);
	174	pj_dalloc(ncu);
	175	return T;
160	176	}

+13

-13

src/nad_init.c less more

0	0	/******************************************************************************
1		* $Id: nad_init.c 2142 2012-01-25 19:23:31Z warmerdam $
	1	* $Id: nad_init.c 2345 2013-06-22 07:54:57Z warmerdam $
2	2	*
3	3	* Project: PROJ.4
4	4	* Purpose: Load datum shift files into memory.

81	81	/* Load the data portion of a ctable formatted grid. */
82	82	/************************************************************************/
83	83
84		int nad_ctable_load( projCtx ctx, struct CTABLE ct, FILE fid )
	84	int nad_ctable_load( projCtx ctx, struct CTABLE *ct, PAFile fid )
85	85
86	86	{
87	87	int a_size;
88	88
89		fseek( fid, sizeof(struct CTABLE), SEEK_SET );
	89	pj_ctx_fseek( ctx, fid, sizeof(struct CTABLE), SEEK_SET );
90	90
91	91	/* read all the actual shift values */
92	92	a_size = ct->lim.lam * ct->lim.phi;
93	93	ct->cvs = (FLP ) pj_malloc(sizeof(FLP) a_size);
94	94	if( ct->cvs == NULL
95		\|\| fread(ct->cvs, sizeof(FLP), a_size, fid) != a_size )
	95	\|\| pj_ctx_fread(ctx, ct->cvs, sizeof(FLP), a_size, fid) != a_size )
96	96	{
97	97	pj_dalloc( ct->cvs );
98	98	ct->cvs = NULL;

112	112	/* Read the header portion of a "ctable" format grid. */
113	113	/************************************************************************/
114	114
115		struct CTABLE nad_ctable_init( projCtx ctx, FILE fid )
	115	struct CTABLE *nad_ctable_init( projCtx ctx, PAFile fid )
116	116	{
117	117	struct CTABLE *ct;
118	118	int id_end;

120	120	/* read the table header */
121	121	ct = (struct CTABLE *) pj_malloc(sizeof(struct CTABLE));
122	122	if( ct == NULL
123		\|\| fread( ct, sizeof(struct CTABLE), 1, fid ) != 1 )
	123	\|\| pj_ctx_fread( ctx, ct, sizeof(struct CTABLE), 1, fid ) != 1 )
124	124	{
125	125	pj_ctx_set_errno( ctx, -38 );
126	126	return NULL;

154	154	/* Load the data portion of a ctable2 formatted grid. */
155	155	/************************************************************************/
156	156
157		int nad_ctable2_load( projCtx ctx, struct CTABLE ct, FILE fid )
	157	int nad_ctable2_load( projCtx ctx, struct CTABLE *ct, PAFile fid )
158	158
159	159	{
160	160	int a_size;
161	161
162		fseek( fid, 160, SEEK_SET );
	162	pj_ctx_fseek( ctx, fid, 160, SEEK_SET );
163	163
164	164	/* read all the actual shift values */
165	165	a_size = ct->lim.lam * ct->lim.phi;
166	166	ct->cvs = (FLP ) pj_malloc(sizeof(FLP) a_size);
167	167	if( ct->cvs == NULL
168		\|\| fread(ct->cvs, sizeof(FLP), a_size, fid) != a_size )
	168	\|\| pj_ctx_fread(ctx, ct->cvs, sizeof(FLP), a_size, fid) != a_size )
169	169	{
170	170	pj_dalloc( ct->cvs );
171	171	ct->cvs = NULL;

194	194	/* Read the header portion of a "ctable2" format grid. */
195	195	/************************************************************************/
196	196
197		struct CTABLE nad_ctable2_init( projCtx ctx, FILE fid )
	197	struct CTABLE *nad_ctable2_init( projCtx ctx, PAFile fid )
198	198	{
199	199	struct CTABLE *ct;
200	200	int id_end;
201	201	char header[160];
202	202
203		if( fread( header, sizeof(header), 1, fid ) != 1 )
	203	if( pj_ctx_fread( ctx, header, sizeof(header), 1, fid ) != 1 )
204	204	{
205	205	pj_ctx_set_errno( ctx, -38 );
206	206	return NULL;

267	267	{
268	268	char fname[MAX_PATH_FILENAME+1];
269	269	struct CTABLE *ct;
270		FILE *fid;
	270	PAFile fid;
271	271
272	272	ctx->last_errno = 0;
273	273

289	289	}
290	290	}
291	291
292		fclose(fid);
	292	pj_ctx_fclose(ctx, fid);
293	293	return ct;
294	294	}
295	295

+10

-8

src/pj_apply_gridshift.c less more

0	0	/******************************************************************************
1		* $Id: pj_apply_gridshift.c 2219 2012-06-19 04:18:00Z warmerdam $
	1	* $Id: pj_apply_gridshift.c 2548 2014-09-17 06:21:09Z warmerdam $
2	2	*
3	3	* Project: PROJ.4
4	4	* Purpose: Apply datum shifts based on grid shift files (normally NAD27 to

155	155	continue;
156	156
157	157	/* If we have child nodes, check to see if any of them apply. */
158		if( gi->child != NULL )
	158	while( gi->child )
159	159	{
160	160	PJ_GRIDINFO *child;
161	161

176	176	break;
177	177	}
178	178
179		/* we found a more refined child node to use */
180		if( child != NULL )
181		{
182		gi = child;
183		ct = child->ct;
184		}
	179	/* If we didn't find a child then nothing more to do */
	180
	181	if( child == NULL ) break;
	182
	183	/* Otherwise use the child, first checking it's children */
	184
	185	gi = child;
	186	ct = child->ct;
185	187	}
186	188
187	189	/* load the grid shift info if we don't have it. */

-5

src/pj_apply_vgridshift.c less more

100	100	continue;
101	101
102	102	/* If we have child nodes, check to see if any of them apply. */
103		if( gi->child != NULL )
	103	while( gi->child != NULL )
104	104	{
105	105	PJ_GRIDINFO *child;
106	106

116	116	break;
117	117	}
118	118
119		/* we found a more refined child node to use */
120		if( child != NULL )
	119	/* we didn't find a more refined child node to use, so go with current grid */
	120	if( child == NULL )
121	121	{
122		gi = child;
123		ct = child->ct;
	122	break;
124	123	}
	124
	125	/* Otherwise let's try for childrens children .. */
	126	gi = child;
	127	ct = child->ct;
125	128	}
126	129
127	130	/* load the grid shift info if we don't have it. */

+24

-3

src/pj_ctx.c less more

32	32	PJ_CVSID("$Id$");
33	33
34	34	static projCtx_t default_context;
35		static int default_context_initialized = 0;
	35	static volatile int default_context_initialized = 0;
36	36
37	37	/************************************************************************/
38	38	/* pj_get_ctx() */

67	67
68	68	if( !default_context_initialized )
69	69	{
70		default_context_initialized = 1;
71	70	default_context.last_errno = 0;
72	71	default_context.debug_level = PJ_LOG_NONE;
73	72	default_context.logger = pj_stderr_logger;
74	73	default_context.app_data = NULL;
	74	default_context.fileapi = pj_get_default_fileapi();
75	75
76	76	if( getenv("PROJ_DEBUG") != NULL )
77	77	{

80	80	else
81	81	default_context.debug_level = PJ_LOG_DEBUG_MINOR;
82	82	}
	83	default_context_initialized = 1;
83	84	}
84	85
85	86	pj_release_lock();

175	176	return ctx->app_data;
176	177	}
177	178
178
	179	/************************************************************************/
	180	/* pj_ctx_set_fileapi() */
	181	/************************************************************************/
	182
	183	void pj_ctx_set_fileapi( projCtx ctx, projFileAPI *fileapi )
	184
	185	{
	186	ctx->fileapi = fileapi;
	187	}
	188
	189	/************************************************************************/
	190	/* pj_ctx_get_fileapi() */
	191	/************************************************************************/
	192
	193	projFileAPI *pj_ctx_get_fileapi( projCtx ctx )
	194
	195	{
	196	return ctx->fileapi;
	197	}
	198
	199

-3

src/pj_datums.c less more

0	0	/******************************************************************************
1		* $Id: pj_datums.c 2085 2011-08-07 22:17:18Z warmerdam $
	1	* $Id: pj_datums.c 2553 2014-09-17 09:07:29Z rouault $
2	2	*
3	3	* Project: PROJ.4
4	4	* Purpose: Built in datum list.

48	48	"clrk66",
49	49	"North_American_Datum_1927",
50	50	"potsdam", "towgs84=598.1,73.7,418.2,0.202,0.045,-2.455,6.7", "bessel", "Potsdam Rauenberg 1950 DHDN",
51		"carthage", "towgs84=-263.0,6.0,431.0", "clark80", "Carthage 1934 Tunisia",
52		"hermannskogel", "towgs84=653.0,-212.0,449.0", "bessel", "Hermannskogel",
	51	"carthage", "towgs84=-263.0,6.0,431.0", "clrk80ign", "Carthage 1934 Tunisia",
	52	"hermannskogel", "towgs84=577.326,90.129,463.919,5.137,1.474,5.297,2.4232", "bessel", "Hermannskogel",
53	53	"ire65", "towgs84=482.530,-130.596,564.557,-1.042,-0.214,-0.631,8.15", "mod_airy", "Ireland 1965",
54	54	"nzgd49", "towgs84=59.47,-5.04,187.44,0.47,-0.1,1.024,-4.5993", "intl", "New Zealand Geodetic Datum 1949",
55	55	"OSGB36", "towgs84=446.448,-125.157,542.060,0.1502,0.2470,0.8421,-20.4894", "airy", "Airy 1830",

+22

-22

src/pj_ell_set.c less more

18	18	/* check for varying forms of ellipsoid input */
19	19	a = es = 0.;
20	20	/* R takes precedence */
21		if (pj_param(NULL, pl, "tR").i)
22		*a = pj_param(NULL,pl, "dR").f;
	21	if (pj_param(ctx, pl, "tR").i)
	22	*a = pj_param(ctx,pl, "dR").f;
23	23	else { /* probable elliptical figure */
24	24
25	25	/* check if ellps present and temporarily append its values to pl */
26		if ((name = pj_param(NULL,pl, "sellps").s) != NULL) {
	26	if ((name = pj_param(ctx,pl, "sellps").s) != NULL) {
27	27	char *s;
28	28
29	29	for (start = pl; start && start->next ; start = start->next) ;

33	33	curr = curr->next = pj_mkparam(pj_ellps[i].major);
34	34	curr = curr->next = pj_mkparam(pj_ellps[i].ell);
35	35	}
36		*a = pj_param(NULL,pl, "da").f;
37		if (pj_param(NULL,pl, "tes").i) /* eccentricity squared */
38		*es = pj_param(NULL,pl, "des").f;
39		else if (pj_param(NULL,pl, "te").i) { /* eccentricity */
40		e = pj_param(NULL,pl, "de").f;
	36	*a = pj_param(ctx,pl, "da").f;
	37	if (pj_param(ctx,pl, "tes").i) /* eccentricity squared */
	38	*es = pj_param(ctx,pl, "des").f;
	39	else if (pj_param(ctx,pl, "te").i) { /* eccentricity */
	40	e = pj_param(ctx,pl, "de").f;
41	41	es = e e;
42		} else if (pj_param(NULL,pl, "trf").i) { /* recip flattening */
43		*es = pj_param(NULL,pl, "drf").f;
	42	} else if (pj_param(ctx,pl, "trf").i) { /* recip flattening */
	43	*es = pj_param(ctx,pl, "drf").f;
44	44	if (!*es) {
45	45	pj_ctx_set_errno( ctx, -10);
46	46	goto bomb;
47	47	}
48	48	es = 1./ es;
49	49	es = es * (2. - *es);
50		} else if (pj_param(NULL,pl, "tf").i) { /* flattening */
51		*es = pj_param(NULL,pl, "df").f;
	50	} else if (pj_param(ctx,pl, "tf").i) { /* flattening */
	51	*es = pj_param(ctx,pl, "df").f;
52	52	es = es * (2. - *es);
53		} else if (pj_param(NULL,pl, "tb").i) { /* minor axis */
54		b = pj_param(NULL,pl, "db").f;
	53	} else if (pj_param(ctx,pl, "tb").i) { /* minor axis */
	54	b = pj_param(ctx,pl, "db").f;
55	55	es = 1. - (b b) / (a *a);
56	56	} /* else es == 0. and sphere of radius a */
57	57	if (!b)
58	58	b = a sqrt(1. - *es);
59	59	/* following options turn ellipsoid into equivalent sphere */
60		if (pj_param(NULL,pl, "bR_A").i) { /* sphere--area of ellipsoid */
	60	if (pj_param(ctx,pl, "bR_A").i) { /* sphere--area of ellipsoid */
61	61	a = 1. - es (SIXTH + es (RA4 + es RA6));
62	62	*es = 0.;
63		} else if (pj_param(NULL,pl, "bR_V").i) { /* sphere--vol. of ellipsoid */
	63	} else if (pj_param(ctx,pl, "bR_V").i) { /* sphere--vol. of ellipsoid */
64	64	a = 1. - es (SIXTH + es (RV4 + es RV6));
65	65	*es = 0.;
66		} else if (pj_param(NULL,pl, "bR_a").i) { /* sphere--arithmetic mean */
	66	} else if (pj_param(ctx,pl, "bR_a").i) { /* sphere--arithmetic mean */
67	67	a = .5 (*a + b);
68	68	*es = 0.;
69		} else if (pj_param(NULL,pl, "bR_g").i) { /* sphere--geometric mean */
	69	} else if (pj_param(ctx,pl, "bR_g").i) { /* sphere--geometric mean */
70	70	a = sqrt(a * b);
71	71	*es = 0.;
72		} else if (pj_param(NULL,pl, "bR_h").i) { /* sphere--harmonic mean */
	72	} else if (pj_param(ctx,pl, "bR_h").i) { /* sphere--harmonic mean */
73	73	a = 2. a b / (*a + b);
74	74	*es = 0.;
75		} else if ((i = pj_param(NULL,pl, "tR_lat_a").i) \|\| /* sphere--arith. */
76		pj_param(NULL,pl, "tR_lat_g").i) { /* or geom. mean at latitude */
	75	} else if ((i = pj_param(ctx,pl, "tR_lat_a").i) \|\| /* sphere--arith. */
	76	pj_param(ctx,pl, "tR_lat_g").i) { /* or geom. mean at latitude */
77	77	double tmp;
78	78
79		tmp = sin(pj_param(NULL,pl, i ? "rR_lat_a" : "rR_lat_g").f);
	79	tmp = sin(pj_param(ctx,pl, i ? "rR_lat_a" : "rR_lat_g").f);
80	80	if (fabs(tmp) > HALFPI) {
81	81	pj_ctx_set_errno(ctx,-11);
82	82	goto bomb;

-0

src/pj_ellps.c less more

18	18	"bess_nam", "a=6377483.865", "rf=299.1528128", "Bessel 1841 (Namibia)",
19	19	"clrk66", "a=6378206.4", "b=6356583.8", "Clarke 1866",
20	20	"clrk80", "a=6378249.145", "rf=293.4663", "Clarke 1880 mod.",
	21	"clrk80ign","a=6378249.2", "rf=293.4660212936269", "Clarke 1880 (IGN).",
21	22	"CPM", "a=6375738.7", "rf=334.29", "Comm. des Poids et Mesures 1799",
22	23	"delmbr", "a=6376428.", "rf=311.5", "Delambre 1810 (Belgium)",
23	24	"engelis", "a=6378136.05", "rf=298.2566", "Engelis 1985",

+203

-0

src/pj_fileapi.c less more

	0	/******************************************************************************
	1	* $Id$
	2	*
	3	* Project: PROJ.4
	4	* Purpose: Implementation of the pj_ctx_* file api, and the default stdio
	5	* based implementation.
	6	* Author: Frank Warmerdam, warmerdam@pobox.com
	7	*
	8	******************************************************************************
	9	* Copyright (c) 2013, Frank Warmerdam
	10	*
	11	* Permission is hereby granted, free of charge, to any person obtaining a
	12	* copy of this software and associated documentation files (the "Software"),
	13	* to deal in the Software without restriction, including without limitation
	14	* the rights to use, copy, modify, merge, publish, distribute, sublicense,
	15	* and/or sell copies of the Software, and to permit persons to whom the
	16	* Software is furnished to do so, subject to the following conditions:
	17	*
	18	* The above copyright notice and this permission notice shall be included
	19	* in all copies or substantial portions of the Software.
	20	*
	21	* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS
	22	* OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
	23	* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL
	24	* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
	25	* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING
	26	* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER
	27	* DEALINGS IN THE SOFTWARE.
	28	*****************************************************************************/
	29
	30	#include <projects.h>
	31	#include <string.h>
	32
	33	PJ_CVSID("$Id$");
	34
	35	static PAFile pj_stdio_fopen(projCtx ctx, const char *filename,
	36	const char *access);
	37	static size_t pj_stdio_fread(void *buffer, size_t size, size_t nmemb,
	38	PAFile file);
	39	static int pj_stdio_fseek(PAFile file, long offset, int whence);
	40	static long pj_stdio_ftell(PAFile file);
	41	static void pj_stdio_fclose(PAFile file);
	42
	43	static projFileAPI default_fileapi = {
	44	pj_stdio_fopen,
	45	pj_stdio_fread,
	46	pj_stdio_fseek,
	47	pj_stdio_ftell,
	48	pj_stdio_fclose
	49	};
	50
	51	typedef struct {
	52	projCtx ctx;
	53	FILE *fp;
	54	} stdio_pafile;
	55
	56	/************************************************************************/
	57	/* pj_get_default_fileapi() */
	58	/************************************************************************/
	59
	60	projFileAPI *pj_get_default_fileapi()
	61	{
	62	return &default_fileapi;
	63	}
	64
	65	/************************************************************************/
	66	/* pj_stdio_fopen() */
	67	/************************************************************************/
	68
	69	static PAFile pj_stdio_fopen(projCtx ctx, const char *filename,
	70	const char *access)
	71	{
	72	stdio_pafile *pafile;
	73	FILE *fp;
	74
	75	fp = fopen(filename, access);
	76	if (fp == NULL)
	77	{
	78	return NULL;
	79	}
	80
	81	pafile = (stdio_pafile *) malloc(sizeof(stdio_pafile));
	82	pafile->fp = fp;
	83	pafile->ctx = ctx;
	84	return (PAFile) pafile;
	85	}
	86
	87	/************************************************************************/
	88	/* pj_stdio_fread() */
	89	/************************************************************************/
	90
	91	static size_t pj_stdio_fread(void *buffer, size_t size, size_t nmemb,
	92	PAFile file)
	93	{
	94	stdio_pafile pafile = (stdio_pafile ) file;
	95	return fread(buffer, size, nmemb, pafile->fp);
	96	}
	97
	98	/************************************************************************/
	99	/* pj_stdio_fseek() */
	100	/************************************************************************/
	101	static int pj_stdio_fseek(PAFile file, long offset, int whence)
	102	{
	103	stdio_pafile pafile = (stdio_pafile ) file;
	104	return fseek(pafile->fp, offset, whence);
	105	}
	106
	107	/************************************************************************/
	108	/* pj_stdio_ftell() */
	109	/************************************************************************/
	110	static long pj_stdio_ftell(PAFile file)
	111	{
	112	stdio_pafile pafile = (stdio_pafile ) file;
	113	return ftell(pafile->fp);
	114	}
	115
	116	/************************************************************************/
	117	/* pj_stdio_fclose() */
	118	/************************************************************************/
	119	static void pj_stdio_fclose(PAFile file)
	120	{
	121	stdio_pafile pafile = (stdio_pafile ) file;
	122	fclose(pafile->fp);
	123	free(pafile);
	124	}
	125
	126	/************************************************************************/
	127	/* pj_ctx_fopen() */
	128	/* */
	129	/* Open a file using the provided file io hooks. */
	130	/************************************************************************/
	131
	132	PAFile pj_ctx_fopen(projCtx ctx, const char filename, const char access)
	133	{
	134	return ctx->fileapi->FOpen(ctx, filename, access);
	135	}
	136
	137	/************************************************************************/
	138	/* pj_ctx_fread() */
	139	/************************************************************************/
	140	size_t pj_ctx_fread(projCtx ctx, void *buffer, size_t size, size_t nmemb, PAFile file)
	141	{
	142	return ctx->fileapi->FRead(buffer, size, nmemb, file);
	143	}
	144
	145	/************************************************************************/
	146	/* pj_ctx_fseek() */
	147	/************************************************************************/
	148	int pj_ctx_fseek(projCtx ctx, PAFile file, long offset, int whence)
	149	{
	150	return ctx->fileapi->FSeek(file, offset, whence);
	151	}
	152
	153	/************************************************************************/
	154	/* pj_ctx_ftell() */
	155	/************************************************************************/
	156	long pj_ctx_ftell(projCtx ctx, PAFile file)
	157	{
	158	return ctx->fileapi->FTell(file);
	159	}
	160
	161	/************************************************************************/
	162	/* pj_ctx_fclose() */
	163	/************************************************************************/
	164	void pj_ctx_fclose(projCtx ctx, PAFile file)
	165	{
	166	ctx->fileapi->FClose(file);
	167	}
	168
	169	/************************************************************************/
	170	/* pj_ctx_fgets() */
	171	/* */
	172	/* A not very optimal implementation of fgets on top of */
	173	/* fread(). If we end up using this a lot more care should be */
	174	/* taken. */
	175	/************************************************************************/
	176
	177	char pj_ctx_fgets(projCtx ctx, char line, int size, PAFile file)
	178	{
	179	long start = pj_ctx_ftell(ctx, file);
	180	size_t bytes_read;
	181	int i;
	182
	183	line[size-1] = '\0';
	184	bytes_read = pj_ctx_fread(ctx, line, 1, size-1, file);
	185	if(bytes_read == 0)
	186	return NULL;
	187	if(bytes_read < size)
	188	{
	189	line[bytes_read] = '\0';
	190	}
	191
	192	for( i = 0; i < size-2; i++)
	193	{
	194	if (line[i] == '\n')
	195	{
	196	line[i+1] = '\0';
	197	pj_ctx_fseek(ctx, file, start + i + 1, SEEK_SET);
	198	break;
	199	}
	200	}
	201	return line;
	202	}

+13

-12

src/pj_gc_reader.c less more

30	30
31	31	#include <projects.h>
32	32	#include <string.h>
33
34		static int pj_gc_readentry( projCtx ctx, FILE fp, PJ_GridCatalogEntry entry );
	33	#include <ctype.h>
	34
	35	static int pj_gc_readentry(projCtx ctx, PAFile fid, PJ_GridCatalogEntry *entry);
35	36	static void pj_gc_sortcatalog( projCtx ctx, PJ_GridCatalog *catalog );
36	37
37	38	/************************************************************************/

42	43
43	44	PJ_GridCatalog pj_gc_readcatalog( projCtx ctx, const char catalog_name )
44	45	{
45		FILE *fp;
	46	PAFile fid;
46	47	PJ_GridCatalog *catalog;
47		int entry_max, err;
	48	int entry_max;
48	49	char line[302];
49	50
50		fp = pj_open_lib( ctx, (char *) catalog_name, "r" );
51		if (fp == NULL)
	51	fid = pj_open_lib( ctx, (char *) catalog_name, "r" );
	52	if (fid == NULL)
52	53	return NULL;
53	54
54	55	/* discard title line */
55		fgets(line, sizeof(line)-1, fp);
	56	pj_ctx_fgets(ctx, line, sizeof(line)-1, fid);
56	57
57	58	catalog = (PJ_GridCatalog *) calloc(1,sizeof(PJ_GridCatalog));
58	59	if( !catalog )

64	65	catalog->entries = (PJ_GridCatalogEntry *)
65	66	malloc(entry_max * sizeof(PJ_GridCatalogEntry));
66	67
67		while( pj_gc_readentry( ctx, fp,
	68	while( pj_gc_readentry( ctx, fid,
68	69	catalog->entries+catalog->entry_count) == 0)
69	70	{
70	71	catalog->entry_count++;

104	105	/* token count. */
105	106	/************************************************************************/
106	107
107		static int pj_gc_read_csv_line( projCtx ctx, FILE *fp,
	108	static int pj_gc_read_csv_line( projCtx ctx, PAFile fid,
108	109	char **tokens, int max_tokens )
109	110	{
110	111	char line[302];
111	112
112		while( fgets(line, sizeof(line)-1, fp) != NULL )
	113	while( pj_ctx_fgets(ctx, line, sizeof(line)-1, fid) != NULL )
113	114	{
114	115	char *next = line;
115	116	int token_count = 0;

179	180	/* gridname,ll_long,ll_lat,ur_long,ur_lat,priority,date */
180	181	/************************************************************************/
181	182
182		static int pj_gc_readentry( projCtx ctx, FILE fp, PJ_GridCatalogEntry entry )
	183	static int pj_gc_readentry(projCtx ctx, PAFile fid, PJ_GridCatalogEntry *entry)
183	184	{
184	185	#define MAX_TOKENS 30
185	186	char *tokens[MAX_TOKENS];

188	189
189	190	memset( entry, 0, sizeof(PJ_GridCatalogEntry) );
190	191
191		token_count = pj_gc_read_csv_line( ctx, fp, tokens, MAX_TOKENS );
	192	token_count = pj_gc_read_csv_line( ctx, fid, tokens, MAX_TOKENS );
192	193	if( token_count < 5 )
193	194	{
194	195	error = 1; /* TODO: need real error codes */

-1

src/pj_gridcatalog.c less more

118	118	{
119	119	long io = i * point_offset;
120	120	LP input, output_after, output_before;
121		int itable;
122	121	double mix_ratio;
123	122	PJ_GRIDINFO *gi;
124	123

+214

-150

src/pj_gridinfo.c less more

0	0	/******************************************************************************
1		* $Id: pj_gridinfo.c 2142 2012-01-25 19:23:31Z warmerdam $
	1	* $Id: pj_gridinfo.c 2548 2014-09-17 06:21:09Z warmerdam $
2	2	*
3	3	* Project: PROJ.4
4	4	* Purpose: Functions for handling individual PJ_GRIDINFO's. Includes

40	40	* TODO - mloskot: re-implement porting friendly assert
41	41	*/
42	42	# define assert(exp) ((void)0)
43		#else
	43	#else/
44	44	# include <assert.h>
45	45	#endif /* _WIN32_WCE */
46	46

61	61	for( word = 0; word < word_count; word++ )
62	62	{
63	63	int i;
64
	64
65	65	for( i = 0; i < word_size/2; i++ )
66	66	{
67	67	int t;
68
	68
69	69	t = data[i];
70	70	data[i] = data[word_size-i-1];
71	71	data[word_size-i-1] = t;
72	72	}
73
	73
74	74	data += word_size;
75	75	}
76	76	}

98	98
99	99	if( gi->ct != NULL )
100	100	nad_free( gi->ct );
101
	101
102	102	free( gi->gridname );
103	103	if( gi->filename != NULL )
104	104	free( gi->filename );

117	117	int pj_gridinfo_load( projCtx ctx, PJ_GRIDINFO *gi )
118	118
119	119	{
	120	struct CTABLE ct_tmp;
	121
120	122	if( gi == NULL \|\| gi->ct == NULL )
121	123	return 0;
122	124
	125	pj_acquire_lock();
	126	if( gi->ct->cvs != NULL )
	127	{
	128	pj_release_lock();
	129	return 1;
	130	}
	131
	132	memcpy(&ct_tmp, gi->ct, sizeof(struct CTABLE));
	133
123	134	/* -------------------------------------------------------------------- */
124	135	/* Original platform specific CTable format. */
125	136	/* -------------------------------------------------------------------- */
126	137	if( strcmp(gi->format,"ctable") == 0 )
127	138	{
128		FILE *fid;
	139	PAFile fid;
129	140	int result;
130	141
131	142	fid = pj_open_lib( ctx, gi->filename, "rb" );
132
	143
133	144	if( fid == NULL )
134	145	{
135	146	pj_ctx_set_errno( ctx, -38 );
136		return 0;
137		}
138
139		result = nad_ctable_load( ctx, gi->ct, fid );
140
141		fclose( fid );
	147	pj_release_lock();
	148	return 0;
	149	}
	150
	151	result = nad_ctable_load( ctx, &ct_tmp, fid );
	152
	153	pj_ctx_fclose( ctx, fid );
	154
	155	gi->ct->cvs = ct_tmp.cvs;
	156	pj_release_lock();
142	157
143	158	return result;
144	159	}

148	163	/* -------------------------------------------------------------------- */
149	164	else if( strcmp(gi->format,"ctable2") == 0 )
150	165	{
151		FILE *fid;
	166	PAFile fid;
152	167	int result;
153	168
154	169	fid = pj_open_lib( ctx, gi->filename, "rb" );
155
	170
156	171	if( fid == NULL )
157	172	{
158	173	pj_ctx_set_errno( ctx, -38 );
159		return 0;
160		}
161
162		result = nad_ctable2_load( ctx, gi->ct, fid );
163
164		fclose( fid );
165
	174	pj_release_lock();
	175	return 0;
	176	}
	177
	178	result = nad_ctable2_load( ctx, &ct_tmp, fid );
	179
	180	pj_ctx_fclose( ctx, fid );
	181
	182	gi->ct->cvs = ct_tmp.cvs;
	183
	184	pj_release_lock();
166	185	return result;
167	186	}
168	187

177	196	{
178	197	double *row_buf;
179	198	int row;
180		FILE *fid;
	199	PAFile fid;
181	200
182	201	fid = pj_open_lib( ctx, gi->filename, "rb" );
183
	202
184	203	if( fid == NULL )
185	204	{
186	205	pj_ctx_set_errno( ctx, -38 );
187		return 0;
188		}
189
190		fseek( fid, gi->grid_offset, SEEK_SET );
	206	pj_release_lock();
	207	return 0;
	208	}
	209
	210	pj_ctx_fseek( ctx, fid, gi->grid_offset, SEEK_SET );
191	211
192	212	row_buf = (double ) pj_malloc(gi->ct->lim.lam sizeof(double) * 2);
193		gi->ct->cvs = (FLP ) pj_malloc(gi->ct->lim.lamgi->ct->lim.phi*sizeof(FLP));
194		if( row_buf == NULL \|\| gi->ct->cvs == NULL )
195		{
196		pj_ctx_set_errno( ctx, -38 );
197		return 0;
198		}
199
	213	ct_tmp.cvs = (FLP ) pj_malloc(gi->ct->lim.lamgi->ct->lim.phi*sizeof(FLP));
	214	if( row_buf == NULL \|\| ct_tmp.cvs == NULL )
	215	{
	216	pj_ctx_set_errno( ctx, -38 );
	217	pj_release_lock();
	218	return 0;
	219	}
	220
200	221	for( row = 0; row < gi->ct->lim.phi; row++ )
201	222	{
202	223	int i;
203	224	FLP *cvs;
204	225	double *diff_seconds;
205	226
206		if( fread( row_buf, sizeof(double), gi->ct->lim.lam * 2, fid )
	227	if( pj_ctx_fread( ctx, row_buf,
	228	sizeof(double), gi->ct->lim.lam * 2, fid )
207	229	!= 2 * gi->ct->lim.lam )
208	230	{
209	231	pj_dalloc( row_buf );
210		pj_dalloc( gi->ct->cvs );
	232	pj_dalloc( ct_tmp.cvs );
211	233	pj_ctx_set_errno( ctx, -38 );
212	234	return 0;
213	235	}

220	242
221	243	for( i = 0; i < gi->ct->lim.lam; i++ )
222	244	{
223		cvs = gi->ct->cvs + (row) * gi->ct->lim.lam
	245	cvs = ct_tmp.cvs + (row) * gi->ct->lim.lam
224	246	+ (gi->ct->lim.lam - i - 1);
225	247
226	248	cvs->phi = (diff_seconds++) ((PI/180.0) / 3600.0);

230	252
231	253	pj_dalloc( row_buf );
232	254
233		fclose( fid );
	255	pj_ctx_fclose( ctx, fid );
	256
	257	gi->ct->cvs = ct_tmp.cvs;
	258	pj_release_lock();
234	259
235	260	return 1;
236	261	}

246	271	{
247	272	float *row_buf;
248	273	int row;
249		FILE *fid;
250
251		pj_log( ctx, PJ_LOG_DEBUG_MINOR,
	274	PAFile fid;
	275
	276	pj_log( ctx, PJ_LOG_DEBUG_MINOR,
252	277	"NTv2 - loading grid %s", gi->ct->id );
253	278
254	279	fid = pj_open_lib( ctx, gi->filename, "rb" );
255
	280
256	281	if( fid == NULL )
257	282	{
258	283	pj_ctx_set_errno( ctx, -38 );
259		return 0;
260		}
261
262		fseek( fid, gi->grid_offset, SEEK_SET );
	284	pj_release_lock();
	285	return 0;
	286	}
	287
	288	pj_ctx_fseek( ctx, fid, gi->grid_offset, SEEK_SET );
263	289
264	290	row_buf = (float ) pj_malloc(gi->ct->lim.lam sizeof(float) * 4);
265		gi->ct->cvs = (FLP ) pj_malloc(gi->ct->lim.lamgi->ct->lim.phi*sizeof(FLP));
266		if( row_buf == NULL \|\| gi->ct->cvs == NULL )
267		{
268		pj_ctx_set_errno( ctx, -38 );
269		return 0;
270		}
271
	291	ct_tmp.cvs = (FLP ) pj_malloc(gi->ct->lim.lamgi->ct->lim.phi*sizeof(FLP));
	292	if( row_buf == NULL \|\| ct_tmp.cvs == NULL )
	293	{
	294	pj_ctx_set_errno( ctx, -38 );
	295	pj_release_lock();
	296	return 0;
	297	}
	298
272	299	for( row = 0; row < gi->ct->lim.phi; row++ )
273	300	{
274	301	int i;
275	302	FLP *cvs;
276	303	float *diff_seconds;
277	304
278		if( fread( row_buf, sizeof(float), gi->ct->lim.lam*4, fid )
	305	if( pj_ctx_fread( ctx, row_buf, sizeof(float),
	306	gi->ct->lim.lam*4, fid )
279	307	!= 4 * gi->ct->lim.lam )
280	308	{
281	309	pj_dalloc( row_buf );
282		pj_dalloc( gi->ct->cvs );
283		gi->ct->cvs = NULL;
	310	pj_dalloc( ct_tmp.cvs );
284	311	pj_ctx_set_errno( ctx, -38 );
	312	pj_release_lock();
285	313	return 0;
286	314	}
287	315
288	316	if( !IS_LSB )
289		swap_words( (unsigned char *) row_buf, 4,
	317	swap_words( (unsigned char *) row_buf, 4,
290	318	gi->ct->lim.lam*4 );
291	319
292	320	/* convert seconds to radians */

294	322
295	323	for( i = 0; i < gi->ct->lim.lam; i++ )
296	324	{
297		cvs = gi->ct->cvs + (row) * gi->ct->lim.lam
	325	cvs = ct_tmp.cvs + (row) * gi->ct->lim.lam
298	326	+ (gi->ct->lim.lam - i - 1);
299	327
300	328	cvs->phi = (diff_seconds++) ((PI/180.0) / 3600.0);

305	333
306	334	pj_dalloc( row_buf );
307	335
308		fclose( fid );
309
	336	pj_ctx_fclose( ctx, fid );
	337
	338	gi->ct->cvs = ct_tmp.cvs;
	339
	340	pj_release_lock();
310	341	return 1;
311	342	}
312	343

316	347	else if( strcmp(gi->format,"gtx") == 0 )
317	348	{
318	349	int words = gi->ct->lim.lam * gi->ct->lim.phi;
319		FILE *fid;
	350	PAFile fid;
320	351
321	352	fid = pj_open_lib( ctx, gi->filename, "rb" );
322
	353
323	354	if( fid == NULL )
324	355	{
325	356	pj_ctx_set_errno( ctx, -38 );
326		return 0;
327		}
328
329		fseek( fid, gi->grid_offset, SEEK_SET );
330
331		gi->ct->cvs = (FLP ) pj_malloc(wordssizeof(float));
332		if( gi->ct->cvs == NULL )
333		{
334		pj_ctx_set_errno( ctx, -38 );
335		return 0;
336		}
337
338		if( fread( gi->ct->cvs, sizeof(float), words, fid ) != words )
339		{
340		pj_dalloc( gi->ct->cvs );
341		gi->ct->cvs = NULL;
	357	pj_release_lock();
	358	return 0;
	359	}
	360
	361	pj_ctx_fseek( ctx, fid, gi->grid_offset, SEEK_SET );
	362
	363	ct_tmp.cvs = (FLP ) pj_malloc(wordssizeof(float));
	364	if( ct_tmp.cvs == NULL )
	365	{
	366	pj_ctx_set_errno( ctx, -38 );
	367	pj_release_lock();
	368	return 0;
	369	}
	370
	371	if( pj_ctx_fread( ctx, ct_tmp.cvs, sizeof(float), words, fid )
	372	!= words )
	373	{
	374	pj_dalloc( ct_tmp.cvs );
	375	pj_release_lock();
342	376	return 0;
343	377	}
344	378
345	379	if( IS_LSB )
346		swap_words( (unsigned char *) gi->ct->cvs, 4, words );
347
348		fclose( fid );
	380	swap_words( (unsigned char *) ct_tmp.cvs, 4, words );
	381
	382	pj_ctx_fclose( ctx, fid );
	383	gi->ct->cvs = ct_tmp.cvs;
	384	pj_release_lock();
349	385	return 1;
350	386	}
351	387
352	388	else
353	389	{
	390	pj_release_lock();
354	391	return 0;
355	392	}
	393	}
	394
	395	/************************************************************************/
	396	/* pj_gridinfo_init_ntv2() */
	397	/* */
	398	/* Seek a parent grid file by name from a grid list */
	399	/************************************************************************/
	400
	401	static PJ_GRIDINFO* pj_gridinfo_parent( PJ_GRIDINFO *gilist,
	402	const char *name, int length )
	403	{
	404	while( gilist )
	405	{
	406	if( strncmp(gilist->ct->id,name,length) == 0 ) return gilist;
	407	if( gilist->child )
	408	{
	409	PJ_GRIDINFO *parent=pj_gridinfo_parent( gilist->child, name, length );
	410	if( parent ) return parent;
	411	}
	412	gilist=gilist->next;
	413	}
	414	return gilist;
356	415	}
357	416
358	417	/************************************************************************/

361	420	/* Load a ntv2 (.gsb) file. */
362	421	/************************************************************************/
363	422
364		static int pj_gridinfo_init_ntv2( projCtx ctx, FILE fid, PJ_GRIDINFO gilist )
365
	423	static int pj_gridinfo_init_ntv2( projCtx ctx, PAFile fid, PJ_GRIDINFO *gilist )
366	424	{
367	425	unsigned char header[11*16];
368	426	int num_subfiles, subfile;

380	438	/* -------------------------------------------------------------------- */
381	439	/* Read the overview header. */
382	440	/* -------------------------------------------------------------------- */
383		if( fread( header, sizeof(header), 1, fid ) != 1 )
	441	if( pj_ctx_fread( ctx, header, sizeof(header), 1, fid ) != 1 )
384	442	{
385	443	pj_ctx_set_errno( ctx, -38 );
386	444	return 0;

418	476	/* -------------------------------------------------------------------- */
419	477	/* Read header. */
420	478	/* -------------------------------------------------------------------- */
421		if( fread( header, sizeof(header), 1, fid ) != 1 )
	479	if( pj_ctx_fread( ctx, header, sizeof(header), 1, fid ) != 1 )
422	480	{
423	481	pj_ctx_set_errno( ctx, -38 );
424	482	return 0;

429	487	pj_ctx_set_errno( ctx, -38 );
430	488	return 0;
431	489	}
432
	490
433	491	/* -------------------------------------------------------------------- */
434	492	/* Byte swap interesting fields if needed. */
435	493	/* -------------------------------------------------------------------- */

443	501	swap_words( header+8+16*9, 8, 1 );
444	502	swap_words( header+8+16*10, 4, 1 );
445	503	}
446
	504
447	505	/* -------------------------------------------------------------------- */
448	506	/* Initialize a corresponding "ct" structure. */
449	507	/* -------------------------------------------------------------------- */

465	523
466	524	pj_log( ctx, PJ_LOG_DEBUG_MINOR,
467	525	"NTv2 %s %dx%d: LL=(%.9g,%.9g) UR=(%.9g,%.9g)\n",
468		ct->id,
	526	ct->id,
469	527	ct->lim.lam, ct->lim.phi,
470	528	ct->ll.lam/3600.0, ct->ll.phi/3600.0,
471	529	ur.lam/3600.0, ur.phi/3600.0 );
472
	530
473	531	ct->ll.lam *= DEG_TO_RAD/3600.0;
474	532	ct->ll.phi *= DEG_TO_RAD/3600.0;
475	533	ct->del.lam *= DEG_TO_RAD/3600.0;

480	538	{
481	539	pj_log( ctx, PJ_LOG_ERROR,
482	540	"GS_COUNT(%d) does not match expected cells (%dx%d=%d)\n",
483		gs_count, ct->lim.lam, ct->lim.phi,
	541	gs_count, ct->lim.lam, ct->lim.phi,
484	542	ct->lim.lam * ct->lim.phi );
485	543	pj_ctx_set_errno( ctx, -38 );
486	544	return 0;

498	556	{
499	557	gi = (PJ_GRIDINFO *) pj_malloc(sizeof(PJ_GRIDINFO));
500	558	memset( gi, 0, sizeof(PJ_GRIDINFO) );
501
	559
502	560	gi->gridname = strdup( gilist->gridname );
503	561	gi->filename = strdup( gilist->filename );
504	562	gi->next = NULL;

506	564
507	565	gi->ct = ct;
508	566	gi->format = "ntv2";
509		gi->grid_offset = ftell( fid );
	567	gi->grid_offset = pj_ctx_ftell( ctx, fid );
510	568
511	569	/* -------------------------------------------------------------------- */
512	570	/* Attach to the correct list or sublist. */

525	583	else
526	584	{
527	585	PJ_GRIDINFO *lnk;
528		PJ_GRIDINFO *gp = gilist;
529
530		while( gp != NULL
531		&& strncmp(gp->ct->id,(const char*)header+24,8) != 0 )
532		gp = gp->next;
	586	PJ_GRIDINFO *gp = pj_gridinfo_parent(gilist,
	587	(const char*)header+24,8);
533	588
534	589	if( gp == NULL )
535	590	{
536	591	pj_log( ctx, PJ_LOG_ERROR,
537	592	"pj_gridinfo_init_ntv2(): "
538		"failed to find parent %8.8s for %s.\n",
	593	"failed to find parent %8.8s for %s.\n",
539	594	(const char *) header+24, gi->ct->id );
540	595
541		for( lnk = gp; lnk->next != NULL; lnk = lnk->next ) {}
	596	for( lnk = gilist; lnk->next != NULL; lnk = lnk->next ) {}
542	597	lnk->next = gi;
543		}
544		else if( gp->child == NULL )
545		{
546		gp->child = gi;
547	598	}
548	599	else
549	600	{
550		for( lnk = gp->child; lnk->next != NULL; lnk = lnk->next ) {}
551		lnk->next = gi;
	601	if( gp->child == NULL )
	602	{
	603	gp->child = gi;
	604	}
	605	else
	606	{
	607	for( lnk = gp->child; lnk->next != NULL; lnk = lnk->next ) {}
	608	lnk->next = gi;
	609	}
552	610	}
553	611	}
554	612
555	613	/* -------------------------------------------------------------------- */
556	614	/* Seek past the data. */
557	615	/* -------------------------------------------------------------------- */
558		fseek( fid, gs_count * 16, SEEK_CUR );
	616	pj_ctx_fseek( ctx, fid, gs_count * 16, SEEK_CUR );
559	617	}
560	618
561	619	return 1;

567	625	/* Load an NTv1 style Canadian grid shift file. */
568	626	/************************************************************************/
569	627
570		static int pj_gridinfo_init_ntv1( projCtx ctx, FILE * fid, PJ_GRIDINFO *gi )
	628	static int pj_gridinfo_init_ntv1( projCtx ctx, PAFile fid, PJ_GRIDINFO *gi )
571	629
572	630	{
573	631	unsigned char header[176];
574	632	struct CTABLE *ct;
575	633	LP ur;
576
	634
577	635	assert( sizeof(int) == 4 );
578	636	assert( sizeof(double) == 8 );
579	637	if( sizeof(int) != 4 \|\| sizeof(double) != 8 )

587	645	/* -------------------------------------------------------------------- */
588	646	/* Read the header. */
589	647	/* -------------------------------------------------------------------- */
590		if( fread( header, sizeof(header), 1, fid ) != 1 )
	648	if( pj_ctx_fread( ctx, header, sizeof(header), 1, fid ) != 1 )
591	649	{
592	650	pj_ctx_set_errno( ctx, -38 );
593	651	return 0;

609	667
610	668	if( ((int ) (header+8)) != 12 )
611	669	{
612		pj_log( ctx, PJ_LOG_ERROR,
	670	pj_log( ctx, PJ_LOG_ERROR,
613	671	"NTv1 grid shift file has wrong record count, corrupt?" );
614	672	pj_ctx_set_errno( ctx, -38 );
615	673	return 0;

642	700	ct->cvs = NULL;
643	701
644	702	gi->ct = ct;
645		gi->grid_offset = ftell( fid );
	703	gi->grid_offset = pj_ctx_ftell( ctx, fid );
646	704	gi->format = "ntv1";
647	705
648	706	return 1;

654	712	/* Load a NOAA .gtx vertical datum shift file. */
655	713	/************************************************************************/
656	714
657		static int pj_gridinfo_init_gtx( projCtx ctx, FILE * fid, PJ_GRIDINFO *gi )
	715	static int pj_gridinfo_init_gtx( projCtx ctx, PAFile fid, PJ_GRIDINFO *gi )
658	716
659	717	{
660	718	unsigned char header[40];

675	733	/* -------------------------------------------------------------------- */
676	734	/* Read the header. */
677	735	/* -------------------------------------------------------------------- */
678		if( fread( header, sizeof(header), 1, fid ) != 1 )
	736	if( pj_ctx_fread( ctx, header, sizeof(header), 1, fid ) != 1 )
679	737	{
680	738	pj_ctx_set_errno( ctx, -38 );
681	739	return 0;

698	756	memcpy( &rows, header+32, 4 );
699	757	memcpy( &columns, header+36, 4 );
700	758
701		if( xorigin < -360 \|\| xorigin > 360
	759	if( xorigin < -360 \|\| xorigin > 360
702	760	\|\| yorigin < -90 \|\| yorigin > 90 )
703	761	{
704		pj_log( ctx, PJ_LOG_ERROR,
	762	pj_log( ctx, PJ_LOG_ERROR,
705	763	"gtx file header has invalid extents, corrupt?");
706	764	pj_ctx_set_errno( ctx, -38 );
707	765	return 0;

721	779	ct->lim.phi = rows;
722	780
723	781	/* some GTX files come in 0-360 and we shift them back into the
724		expected -180 to 180 range if possible. This does not solve
	782	expected -180 to 180 range if possible. This does not solve
725	783	problems with grids spanning the dateline. */
726	784	if( ct->ll.lam >= 180.0 )
727	785	ct->ll.lam -= 360.0;

735	793	pj_log( ctx, PJ_LOG_DEBUG_MINOR,
736	794	"GTX %dx%d: LL=(%.9g,%.9g) UR=(%.9g,%.9g)",
737	795	ct->lim.lam, ct->lim.phi,
738		ct->ll.lam, ct->ll.phi,
	796	ct->ll.lam, ct->ll.phi,
739	797	ct->ll.lam + (columns-1)xstep, ct->ll.phi + (rows-1)ystep);
740
	798
741	799	ct->ll.lam *= DEG_TO_RAD;
742	800	ct->ll.phi *= DEG_TO_RAD;
743	801	ct->del.lam *= DEG_TO_RAD;

765	823	{
766	824	char fname[MAX_PATH_FILENAME+1];
767	825	PJ_GRIDINFO *gilist;
768		FILE *fp;
	826	PAFile fp;
769	827	char header[160];
770	828
771	829	errno = pj_errno = 0;

777	835	/* -------------------------------------------------------------------- */
778	836	gilist = (PJ_GRIDINFO *) pj_malloc(sizeof(PJ_GRIDINFO));
779	837	memset( gilist, 0, sizeof(PJ_GRIDINFO) );
780
	838
781	839	gilist->gridname = strdup( gridname );
782	840	gilist->filename = NULL;
783	841	gilist->format = "missing";

795	853	}
796	854
797	855	gilist->filename = strdup(fname);
798
	856
799	857	/* -------------------------------------------------------------------- */
800	858	/* Load a header, to determine the file type. */
801	859	/* -------------------------------------------------------------------- */
802		if( fread( header, sizeof(header), 1, fp ) != 1 )
803		{
804		fclose( fp );
	860	if( pj_ctx_fread( ctx, header, sizeof(header), 1, fp ) != 1 )
	861	{
	862	pj_ctx_fclose( ctx, fp );
805	863	pj_ctx_set_errno( ctx, -38 );
806	864	return gilist;
807	865	}
808	866
809		fseek( fp, SEEK_SET, 0 );
	867	pj_ctx_fseek( ctx, fp, SEEK_SET, 0 );
810	868
811	869	/* -------------------------------------------------------------------- */
812	870	/* Determine file type. */
813	871	/* -------------------------------------------------------------------- */
814		if( strncmp(header + 0, "HEADER", 6) == 0
815		&& strncmp(header + 96, "W GRID", 6) == 0
	872	if( strncmp(header + 0, "HEADER", 6) == 0
	873	&& strncmp(header + 96, "W GRID", 6) == 0
816	874	&& strncmp(header + 144, "TO NAD83 ", 16) == 0 )
817	875	{
818	876	pj_gridinfo_init_ntv1( ctx, fp, gilist );
819	877	}
820
821		else if( strncmp(header + 0, "NUM_OREC", 8) == 0
	878
	879	else if( strncmp(header + 0, "NUM_OREC", 8) == 0
822	880	&& strncmp(header + 48, "GS_TYPE", 7) == 0 )
823	881	{
824	882	pj_gridinfo_init_ntv2( ctx, fp, gilist );
825	883	}
826	884
827		else if( strlen(gridname) > 4
828		&& (strcmp(gridname+strlen(gridname)-3,"gtx") == 0
	885	else if( strlen(gridname) > 4
	886	&& (strcmp(gridname+strlen(gridname)-3,"gtx") == 0
829	887	\|\| strcmp(gridname+strlen(gridname)-3,"GTX") == 0) )
830	888	{
831	889	pj_gridinfo_init_gtx( ctx, fp, gilist );

838	896	gilist->format = "ctable2";
839	897	gilist->ct = ct;
840	898
841		pj_log( ctx, PJ_LOG_DEBUG_MAJOR,
	899	pj_log( ctx, PJ_LOG_DEBUG_MAJOR,
842	900	"Ctable2 %s %dx%d: LL=(%.9g,%.9g) UR=(%.9g,%.9g)\n",
843		ct->id,
	901	ct->id,
844	902	ct->lim.lam, ct->lim.phi,
845	903	ct->ll.lam * RAD_TO_DEG, ct->ll.phi * RAD_TO_DEG,
846		(ct->ll.lam + (ct->lim.lam-1)ct->del.lam) RAD_TO_DEG,
	904	(ct->ll.lam + (ct->lim.lam-1)ct->del.lam) RAD_TO_DEG,
847	905	(ct->ll.phi + (ct->lim.phi-1)ct->del.phi) RAD_TO_DEG );
848	906	}
849	907
850	908	else
851	909	{
852	910	struct CTABLE *ct = nad_ctable_init( ctx, fp );
853
854		gilist->format = "ctable";
855		gilist->ct = ct;
856
857		pj_log( ctx, PJ_LOG_DEBUG_MAJOR,
858		"Ctable %s %dx%d: LL=(%.9g,%.9g) UR=(%.9g,%.9g)\n",
859		ct->id,
860		ct->lim.lam, ct->lim.phi,
861		ct->ll.lam * RAD_TO_DEG, ct->ll.phi * RAD_TO_DEG,
862		(ct->ll.lam + (ct->lim.lam-1)ct->del.lam) RAD_TO_DEG,
863		(ct->ll.phi + (ct->lim.phi-1)ct->del.phi) RAD_TO_DEG );
864		}
865
866		fclose(fp);
	911	if (ct == NULL)
	912	{
	913	pj_log( ctx, PJ_LOG_DEBUG_MAJOR,
	914	"CTABLE ct is NULL.");
	915	} else
	916	{
	917	gilist->format = "ctable";
	918	gilist->ct = ct;
	919
	920	pj_log( ctx, PJ_LOG_DEBUG_MAJOR,
	921	"Ctable %s %dx%d: LL=(%.9g,%.9g) UR=(%.9g,%.9g)\n",
	922	ct->id,
	923	ct->lim.lam, ct->lim.phi,
	924	ct->ll.lam * RAD_TO_DEG, ct->ll.phi * RAD_TO_DEG,
	925	(ct->ll.lam + (ct->lim.lam-1)ct->del.lam) RAD_TO_DEG,
	926	(ct->ll.phi + (ct->lim.phi-1)ct->del.phi) RAD_TO_DEG );
	927	}
	928	}
	929
	930	pj_ctx_fclose(ctx, fp);
867	931
868	932	return gilist;
869	933	}

+190

-42

src/pj_init.c less more

0	0	/******************************************************************************
1		* $Id: pj_init.c 2305 2012-12-18 00:31:55Z warmerdam $
	1	* $Id: pj_init.c 2482 2014-08-18 22:43:04Z hobu $
2	2	*
3	3	* Project: PROJ.4
4	4	* Purpose: Initialize projection object from string definition. Includes

34	34	#include <string.h>
35	35	#include <errno.h>
36	36	#include <locale.h>
37
38		PJ_CVSID("$Id: pj_init.c 2305 2012-12-18 00:31:55Z warmerdam $");
	37	#include <ctype.h>
	38
	39	PJ_CVSID("$Id: pj_init.c 2482 2014-08-18 22:43:04Z hobu $");
	40
	41	typedef struct {
	42	projCtx ctx;
	43	PAFile fid;
	44	char buffer[8193];
	45	int buffer_filled;
	46	int at_eof;
	47	} pj_read_state;
	48
	49	/************************************************************************/
	50	/* fill_buffer() */
	51	/************************************************************************/
	52
	53	static const char fill_buffer(pj_read_state state, const char *last_char)
	54	{
	55	size_t bytes_read;
	56	int char_remaining, char_requested;
	57
	58	/* -------------------------------------------------------------------- */
	59	/* Don't bother trying to read more if we are at eof, or if the */
	60	/* buffer is still over half full. */
	61	/* -------------------------------------------------------------------- */
	62	if (last_char == NULL)
	63	last_char = state->buffer;
	64
	65	if (state->at_eof)
	66	return last_char;
	67
	68	char_remaining = state->buffer_filled - (last_char - state->buffer);
	69	if (char_remaining >= sizeof(state->buffer) / 2)
	70	return last_char;
	71
	72	/* -------------------------------------------------------------------- */
	73	/* Move the existing data to the start of the buffer. */
	74	/* -------------------------------------------------------------------- */
	75	memmove(state->buffer, last_char, char_remaining);
	76	state->buffer_filled = char_remaining;
	77	last_char = state->buffer;
	78
	79	/* -------------------------------------------------------------------- */
	80	/* Refill. */
	81	/* -------------------------------------------------------------------- */
	82	char_requested = sizeof(state->buffer) - state->buffer_filled - 1;
	83	bytes_read = pj_ctx_fread( state->ctx, state->buffer + state->buffer_filled,
	84	1, char_requested, state->fid );
	85	if (bytes_read < char_requested)
	86	{
	87	state->at_eof = 1;
	88	state->buffer[state->buffer_filled + bytes_read] = '\0';
	89	}
	90
	91	state->buffer_filled += bytes_read;
	92	return last_char;
	93	}
39	94
40	95	/************************************************************************/
41	96	/* get_opt() */
42	97	/************************************************************************/
43	98	static paralist *
44		get_opt(projCtx ctx, paralist *start, FILE fid, char name, paralist next) {
45		char sword[302], *word = sword+1;
46		int first = 1, len, c;
	99	get_opt(projCtx ctx, paralist *start, PAFile fid, char name, paralist *next,
	100	int *found_def) {
	101	pj_read_state state = (pj_read_state) calloc(1,sizeof(pj_read_state));
	102	char sword[302];
	103	int len;
	104	int in_target = 0;
	105	const char *next_char = NULL;
	106
	107	state->fid = fid;
	108	state->ctx = ctx;
	109	next_char = fill_buffer(state, NULL);
	110	if(found_def)
	111	*found_def = 0;
47	112
48	113	len = strlen(name);
49	114	*sword = 't';
50		while (fscanf(fid, "%300s", word) == 1) {
51		if (word == '#') / skip comments */
52		while((c = fgetc(fid)) != EOF && c != '\n') ;
53		else if (word == '<') { / control name */
54		if (first && !strncmp(name, word + 1, len)
55		&& word[len + 1] == '>')
56		first = 0;
57		else if (!first && *word == '<') {
58		while((c = fgetc(fid)) != EOF && c != '\n') ;
	115
	116	/* loop till we find our target keyword */
	117	while (*next_char)
	118	{
	119	next_char = fill_buffer(state, next_char);
	120
	121	/* Skip white space. */
	122	while( isspace(*next_char) )
	123	next_char++;
	124
	125	next_char = fill_buffer(state, next_char);
	126
	127	/* for comments, skip past end of line. */
	128	if( *next_char == '#' )
	129	{
	130	while( next_char && next_char != '\n' )
	131	next_char++;
	132
	133	next_char = fill_buffer(state, next_char);
	134	if (*next_char == '\n')
	135	next_char++;
	136	if (*next_char == '\r')
	137	next_char++;
	138
	139	}
	140
	141	/* Is this our target? */
	142	else if( *next_char == '<' )
	143	{
	144	/* terminate processing target on the next block definition */
	145	if (in_target)
59	146	break;
60		}
61		} else if (!first && !pj_param(ctx, *start, sword).i) {
62		/* don't default ellipse if datum, ellps or any earth model
63		information is set. */
64		if( strncmp(word,"ellps=",6) != 0
65		\|\| (!pj_param(ctx, *start, "tdatum").i
66		&& !pj_param(ctx, *start, "tellps").i
67		&& !pj_param(ctx, *start, "ta").i
68		&& !pj_param(ctx, *start, "tb").i
69		&& !pj_param(ctx, *start, "trf").i
70		&& !pj_param(ctx, *start, "tf").i) )
	147
	148	next_char++;
	149	if (strncmp(name, next_char, len) == 0
	150	&& next_char[len] == '>')
71	151	{
72		next = next->next = pj_mkparam(word);
73		}
74		}
75		}
	152	/* skip past target word */
	153	next_char += len + 1;
	154	in_target = 1;
	155	if(found_def)
	156	*found_def = 1;
	157	}
	158	else
	159	{
	160	/* skip past end of line */
	161	while( next_char && next_char != '\n' )
	162	next_char++;
	163	}
	164	}
	165	else if (in_target)
	166	{
	167	const char *start_of_word = next_char;
	168	int word_len = 0;
	169
	170	if (*start_of_word == '+')
	171	{
	172	start_of_word++;
	173	next_char++;
	174	}
	175
	176	/* capture parameter */
	177	while( next_char && !isspace(next_char) )
	178	{
	179	next_char++;
	180	word_len++;
	181	}
	182
	183	strncpy(sword+1, start_of_word, word_len);
	184	sword[word_len+1] = '\0';
	185
	186	/* do not override existing parameter value of same name */
	187	if (!pj_param(ctx, *start, sword).i) {
	188	/* don't default ellipse if datum, ellps or any earth model
	189	information is set. */
	190	if( strncmp(sword+1,"ellps=",6) != 0
	191	\|\| (!pj_param(ctx, *start, "tdatum").i
	192	&& !pj_param(ctx, *start, "tellps").i
	193	&& !pj_param(ctx, *start, "ta").i
	194	&& !pj_param(ctx, *start, "tb").i
	195	&& !pj_param(ctx, *start, "trf").i
	196	&& !pj_param(ctx, *start, "tf").i) )
	197	{
	198	next = next->next = pj_mkparam(sword+1);
	199	}
	200	}
	201
	202	}
	203	else
	204	{
	205	/* skip past word */
	206	while( next_char && !isspace(next_char) )
	207	next_char++;
	208
	209	}
	210	}
76	211
77	212	if (errno == 25)
78	213	errno = 0;
	214
	215	free(state);
	216
79	217	return next;
80	218	}
81	219

84	222	/************************************************************************/
85	223	static paralist *
86	224	get_defaults(projCtx ctx, paralist *start, paralist next, char *name) {
87		FILE *fid;
	225	PAFile fid;
88	226
89	227	if ( (fid = pj_open_lib(ctx,"proj_def.dat", "rt")) != NULL) {
90		next = get_opt(ctx, start, fid, "general", next);
91		rewind(fid);
92		next = get_opt(ctx, start, fid, name, next);
93		(void)fclose(fid);
	228	next = get_opt(ctx, start, fid, "general", next, NULL);
	229	pj_ctx_fseek(ctx, fid, 0, SEEK_SET);
	230	next = get_opt(ctx, start, fid, name, next, NULL);
	231	pj_ctx_fclose(ctx, fid);
94	232	}
95	233	if (errno)
96	234	errno = 0; /* don't care if can't open file */

103	241	/* get_init() */
104	242	/************************************************************************/
105	243	static paralist *
106		get_init(projCtx ctx, paralist *start, paralist next, char *name) {
	244	get_init(projCtx ctx, paralist *start, paralist next, char *name,
	245	int *found_def) {
107	246	char fname[MAX_PATH_FILENAME+ID_TAG_MAX+3], *opt;
108		FILE *fid;
	247	PAFile fid;
109	248	paralist *init_items = NULL;
110	249	const paralist *orig_next = next;
111	250

121	260	next->next = init_items;
122	261	while( next->next != NULL )
123	262	next = next->next;
	263	*found_def = 1;
124	264	return next;
125	265	}
126	266

132	272	else { pj_ctx_set_errno(ctx,-3); return NULL; }
133	273
134	274	if ( (fid = pj_open_lib(ctx,fname, "rt")) != NULL)
135		next = get_opt(ctx, start, fid, opt, next);
	275	next = get_opt(ctx, start, fid, opt, next, found_def);
136	276	else
137	277	return NULL;
138		(void)fclose(fid);
	278	pj_ctx_fclose(ctx, fid);
139	279	if (errno == 25)
140	280	errno = 0; /* unknown problem with some sys errno<-25 */
141	281

256	396	ctx->last_errno = 0;
257	397	start = NULL;
258	398
	399	/*
	400	** MS Visual Studio 2012+ may have problems in multithreaded cases
	401	** as discussed in this ticket:
	402	** http://trac.osgeo.org/proj/ticket/226
	403	*/
259	404	old_locale = setlocale(LC_NUMERIC, NULL);
260	405	if (old_locale != NULL) {
261	406	if (strcmp(old_locale,"C") != 0) {

277	422	/* check if +init present */
278	423	if (pj_param(ctx, start, "tinit").i) {
279	424	paralist *last = curr;
280
281		if (!(curr = get_init(ctx,&start, curr, pj_param(ctx, start, "sinit").s)))
	425	int found_def = 0;
	426
	427	if (!(curr = get_init(ctx,&start, curr,
	428	pj_param(ctx, start, "sinit").s,
	429	&found_def)))
282	430	goto bum_call;
283		if (curr == last) { pj_ctx_set_errno( ctx, -2); goto bum_call; }
	431	if (!found_def) { pj_ctx_set_errno( ctx, -2); goto bum_call; }
284	432	}
285	433
286	434	/* find projection selection */

-0

src/pj_list.h less more

15	15	PROJ_HEAD(bipc, "Bipolar conic of western hemisphere")
16	16	PROJ_HEAD(boggs, "Boggs Eumorphic")
17	17	PROJ_HEAD(bonne, "Bonne (Werner lat_1=90)")
	18	PROJ_HEAD(calcofi, "Cal Coop Ocean Fish Invest Lines/Stations")
18	19	PROJ_HEAD(cass, "Cassini")
19	20	PROJ_HEAD(cc, "Central Cylindrical")
20	21	PROJ_HEAD(cea, "Equal Area Cylindrical")

105	106	PROJ_HEAD(putp6, "Putnins P6")
106	107	PROJ_HEAD(putp6p, "Putnins P6'")
107	108	PROJ_HEAD(qua_aut, "Quartic Authalic")
	109	PROJ_HEAD(qsc, "Quadrilateralized Spherical Cube")
108	110	PROJ_HEAD(robin, "Robinson")
109	111	PROJ_HEAD(rouss, "Roussilhe Stereographic")
110	112	PROJ_HEAD(rpoly, "Rectangular Polyconic")

+37

-15

src/pj_mutex.c less more

46	46	# define MUTEX_stub
47	47	#endif
48	48
49		static void pj_init_lock();
50
51	49	/************************************************************************/
52	50	/* ==================================================================== */
53	51	/* stub mutex implementation */

95	93
96	94	#include "pthread.h"
97	95
98		static pthread_mutex_t pj_core_lock = PTHREAD_MUTEX_INITIALIZER;
	96	static pthread_mutex_t pj_precreated_lock = PTHREAD_MUTEX_INITIALIZER;
	97	static pthread_mutex_t pj_core_lock;
	98	static int pj_core_lock_created = 0;
99	99
100	100	/************************************************************************/
101	101	/* pj_acquire_lock() */

105	105
106	106	void pj_acquire_lock()
107	107	{
	108	if (!pj_core_lock_created) {
	109	/*
	110	** We need to ensure the core mutex is created in recursive mode
	111	** and there is no portable way of doing that using automatic
	112	** initialization so we have pj_precreated_lock only for the purpose
	113	** of protecting the creation of the core lock.
	114	*/
	115	pthread_mutexattr_t mutex_attr;
	116
	117	pthread_mutex_lock( &pj_precreated_lock);
	118
	119	pthread_mutexattr_init(&mutex_attr);
	120	#ifndef PTHREAD_MUTEX_RECURSIVE
	121	pthread_mutexattr_settype(&mutex_attr, PTHREAD_MUTEX_RECURSIVE_NP);
	122	#else
	123	pthread_mutexattr_settype(&mutex_attr, PTHREAD_MUTEX_RECURSIVE);
	124	#endif
	125	pthread_mutex_init(&pj_core_lock, &mutex_attr);
	126	pj_core_lock_created = 1;
	127
	128	pthread_mutex_unlock( &pj_precreated_lock );
	129	}
	130
108	131	pthread_mutex_lock( &pj_core_lock);
109	132	}
110	133

139	162	#include <windows.h>
140	163
141	164	static HANDLE mutex_lock = NULL;
	165
	166	/************************************************************************/
	167	/* pj_init_lock() */
	168	/************************************************************************/
	169
	170	static void pj_init_lock()
	171
	172	{
	173	if( mutex_lock == NULL )
	174	mutex_lock = CreateMutex( NULL, FALSE, NULL );
	175	}
142	176
143	177	/************************************************************************/
144	178	/* pj_acquire_lock() */

180	214	}
181	215	}
182	216
183		/************************************************************************/
184		/* pj_init_lock() */
185		/************************************************************************/
186
187		static void pj_init_lock()
188
189		{
190		if( mutex_lock == NULL )
191		mutex_lock = CreateMutex( NULL, FALSE, NULL );
192		}
193
194	217	#endif // def MUTEX_win32
195

-7

src/pj_open_lib.c less more

0	0	/******************************************************************************
1		* $Id: pj_open_lib.c 2130 2011-12-15 01:20:23Z warmerdam $
	1	* $Id: pj_open_lib.c 2372 2013-06-26 21:44:00Z warmerdam $
2	2	*
3	3	* Project: PROJ.4
4	4	* Purpose: Implementation of pj_open_lib(), and pj_set_finder(). These

35	35	#include <string.h>
36	36	#include <errno.h>
37	37
38		PJ_CVSID("$Id: pj_open_lib.c 2130 2011-12-15 01:20:23Z warmerdam $");
	38	PJ_CVSID("$Id: pj_open_lib.c 2372 2013-06-26 21:44:00Z warmerdam $");
39	39
40	40	static const char (pj_finder)(const char *) = NULL;
41	41	static int path_count = 0;

97	97	/* pj_open_lib() */
98	98	/************************************************************************/
99	99
100		FILE *
101		pj_open_lib(projCtx ctx, char name, char mode) {
	100	PAFile
	101	pj_open_lib(projCtx ctx, const char name, const char mode) {
102	102	char fname[MAX_PATH_FILENAME+1];
103	103	const char *sysname;
104		FILE *fid;
	104	PAFile fid;
105	105	int n = 0;
106	106	int i;
107	107	#ifdef WIN32

144	144	} else /* just try it bare bones */
145	145	sysname = name;
146	146
147		if ((fid = fopen(sysname, mode)) != NULL)
	147	if ((fid = pj_ctx_fopen(ctx, sysname, mode)) != NULL)
148	148	errno = 0;
149	149
150	150	/* If none of those work and we have a search path, try it */

154	154	{
155	155	sprintf(fname, "%s%c%s", search_path[i], DIR_CHAR, name);
156	156	sysname = fname;
157		fid = fopen (sysname, mode);
	157	fid = pj_ctx_fopen(ctx, sysname, mode);
158	158	}
159	159	if (fid)
160	160	errno = 0;

-1

src/pj_release.c less more

1	1
2	2	#include <projects.h>
3	3
4		char const pj_release[]="Rel. 4.8.0, 6 March 2012";
	4	char const pj_release[]="Rel. 4.9.0, 13 September 2014";
5	5
6	6	const char *pj_get_release()
7	7

+56

-0

src/proj.def less more

	0	VERSION 1.2
	1	EXPORTS
	2	pj_init @1
	3	pj_fwd @2
	4	pj_inv @3
	5	pj_free @4
	6	pj_transform @5
	7	pj_geocentric_to_geodetic @6
	8	pj_geodetic_to_geocentric @7
	9	pj_deallocate_grids @8
	10	pj_init_plus @9
	11	pj_latlong_from_proj @10
	12	pj_is_latlong @11
	13	pj_get_errno_ref @12
	14	pj_set_finder @13
	15	pj_strerrno @14
	16	pj_errno @15
	17	pj_get_def @16
	18	pj_dalloc @17
	19	pj_is_geocent @18
	20	pj_get_release @19
	21	pj_malloc @20
	22	pj_pr_list @21
	23	pj_compare_datums @22
	24	pj_apply_gridshift @23
	25	pj_datum_transform @24
	26	pj_set_searchpath @25
	27	dmstor @26
	28	pj_get_ellps_ref @27
	29	pj_get_datums_ref @28
	30	pj_get_units_ref @29
	31	pj_get_list_ref @30
	32	pj_get_prime_meridians_ref @31
	33	rtodms @32
	34	set_rtodms @33
	35	pj_factors @34
	36	mk_cheby @35
	37	adjlon @36
	38	pj_param @37
	39	pj_ell_set @38
	40	pj_mkparam @39
	41	pj_init_ctx @40
	42	pj_init_plus_ctx @41
	43	pj_get_default_ctx @42
	44	pj_get_ctx @43
	45	pj_set_ctx @44
	46	pj_ctx_alloc @45
	47	pj_ctx_free @46
	48	pj_ctx_get_errno @47
	49	pj_ctx_set_errno @48
	50	pj_ctx_set_debug @49
	51	pj_ctx_set_logger @50
	52	pj_ctx_set_app_data @51
	53	pj_ctx_get_app_data @52
	54	pj_log @53
	55	pj_clear_initcache @54

+26

-2

src/proj_api.h less more

0	0	/******************************************************************************
1		* $Id: proj_api.h 2160 2012-02-15 23:51:45Z warmerdam $
	1	* $Id: proj_api.h 2372 2013-06-26 21:44:00Z warmerdam $
2	2	*
3	3	* Project: PROJ.4
4	4	* Purpose: Public (application) include file for PROJ.4 API, and constants.

39	39	#endif
40	40
41	41	/* Try to update this every version! */
42		#define PJ_VERSION 480
	42	#define PJ_VERSION 490
43	43
44	44	extern char const pj_release[]; /* global release id string */
45	45

61	61	# define projXY XY
62	62	# define projLP LP
63	63	#endif
	64
	65	/* file reading api, like stdio */
	66	typedef int *PAFile;
	67	typedef struct projFileAPI_t {
	68	PAFile (FOpen)(projCtx ctx, const char filename, const char *access);
	69	size_t (FRead)(void buffer, size_t size, size_t nmemb, PAFile file);
	70	int (*FSeek)(PAFile file, long offset, int whence);
	71	long (*FTell)(PAFile file);
	72	void (*FClose)(PAFile);
	73	} projFileAPI;
64	74
65	75	/* procedure prototypes */
66	76

116	126	void pj_ctx_set_logger( projCtx, void ()(void , int, const char *) );
117	127	void pj_ctx_set_app_data( projCtx, void * );
118	128	void *pj_ctx_get_app_data( projCtx );
	129	void pj_ctx_set_fileapi( projCtx, projFileAPI *);
	130	projFileAPI *pj_ctx_get_fileapi( projCtx );
119	131
120	132	void pj_log( projCtx ctx, int level, const char *fmt, ... );
121	133	void pj_stderr_logger( void , int, const char );
	134
	135	/* file api */
	136	projFileAPI *pj_get_default_fileapi();
	137
	138	PAFile pj_ctx_fopen(projCtx ctx, const char filename, const char access);
	139	size_t pj_ctx_fread(projCtx ctx, void *buffer, size_t size, size_t nmemb, PAFile file);
	140	int pj_ctx_fseek(projCtx ctx, PAFile file, long offset, int whence);
	141	long pj_ctx_ftell(projCtx ctx, PAFile file);
	142	void pj_ctx_fclose(projCtx ctx, PAFile file);
	143	char pj_ctx_fgets(projCtx ctx, char line, int size, PAFile file);
	144
	145	PAFile pj_open_lib(projCtx, const char , const char );
122	146
123	147	#define PJ_LOG_NONE 0
124	148	#define PJ_LOG_ERROR 1

+225

-188

src/proj_etmerc.c less more

36	36	* Division, Kort og Matrikelstyrelsen (KMS), Copenhagen, Denmark
37	37	*/
38	38
39
40	39	#define PROJ_PARMS__ \
41		double Qn; /* Merid. quad., scaled to the projection */ \
42		double Zb; /* Radius vector in polar coord. systems */ \
43		double cgb[5]; /* Constants for Gauss -> Geo lat */ \
44		double cbg[5]; /* Constants for Geo lat -> Gauss */ \
45		double utg[5]; /* Constants for transv. merc. -> geo */ \
46		double gtu[5]; /* Constants for geo -> transv. merc. */
	40	double Qn; /* Merid. quad., scaled to the projection */ \
	41	double Zb; /* Radius vector in polar coord. systems */ \
	42	double cgb[6]; /* Constants for Gauss -> Geo lat */ \
	43	double cbg[6]; /* Constants for Geo lat -> Gauss */ \
	44	double utg[6]; /* Constants for transv. merc. -> geo */ \
	45	double gtu[6]; /* Constants for geo -> transv. merc. */
47	46
48	47	#define PROJ_LIB__
49	48	#define PJ_LIB__

53	52	PROJ_HEAD(etmerc, "Extended Transverse Mercator")
54	53	"\n\tCyl, Sph\n\tlat_ts=(0)\nlat_0=(0)";
55	54
56		#define FABS(x) ((x)<0?-(x):(x))
57
58		#ifdef _GNU_SOURCE
59		inline
60		#endif
61		static double
	55	#define PROJ_ETMERC_ORDER 6
	56
	57	#ifdef _GNU_SOURCE
	58	inline
	59	#endif
	60	static double
	61	log1py(double x) { /* Compute log(1+x) accurately */
	62	volatile double
	63	y = 1 + x,
	64	z = y - 1;
	65	/* Here's the explanation for this magic: y = 1 + z, exactly, and z
	66	* approx x, thus log(y)/z (which is nearly constant near z = 0) returns
	67	* a good approximation to the true log(1 + x)/x. The multiplication x *
	68	* (log(y)/z) introduces little additional error. */
	69	return z == 0 ? x : x * log(y) / z;
	70	}
	71
	72	#ifdef _GNU_SOURCE
	73	inline
	74	#endif
	75	static double
	76	asinhy(double x) { /* Compute asinh(x) accurately */
	77	double y = fabs(x); /* Enforce odd parity */
	78	y = log1py(y * (1 + y/(hypot(1.0, y) + 1)));
	79	return x < 0 ? -y : y;
	80	}
	81
	82	#ifdef _GNU_SOURCE
	83	inline
	84	#endif
	85	static double
62	86	gatg(double *p1, int len_p1, double B) {
63		double *p;
64		double h = 0., h1, h2 = 0., cos_2B;
65
66		cos_2B = 2.cos(2.0B);
67		for (p = p1 + len_p1, h1 = *--p; p - p1; h2 = h1, h1 = h)
68		h = -h2 + cos_2Bh1 + --p;
69		return (B + hsin(2.0B));
70		}
71
72		#ifdef _GNU_SOURCE
73		inline
74		#endif
75		static double
	87	double *p;
	88	double h = 0, h1, h2 = 0, cos_2B;
	89
	90	cos_2B = 2cos(2B);
	91	for (p = p1 + len_p1, h1 = *--p; p - p1; h2 = h1, h1 = h)
	92	h = -h2 + cos_2Bh1 + --p;
	93	return (B + hsin(2B));
	94	}
	95
	96	#ifdef _GNU_SOURCE
	97	inline
	98	#endif
	99	static double
76	100	clenS(double a, int size, double arg_r, double arg_i, double R, double *I) {
77		double *p, r, i, hr, hr1, hr2, hi, hi1, hi2;
78		double sin_arg_r, cos_arg_r, sinh_arg_i, cosh_arg_i;
79		double exp_arg_i, pxe_arg_i;
80
81		/* arguments */
82		p = a + size;
83		#ifdef _GNU_SOURCE
84		sincos(arg_r, &sin_arg_r, &cos_arg_r);
	101	double *p, r, i, hr, hr1, hr2, hi, hi1, hi2;
	102	double sin_arg_r, cos_arg_r, sinh_arg_i, cosh_arg_i;
	103
	104	/* arguments */
	105	p = a + size;
	106	#ifdef _GNU_SOURCE
	107	sincos(arg_r, &sin_arg_r, &cos_arg_r);
85	108	#else
86		sin_arg_r = sin(arg_r);
87		cos_arg_r = cos(arg_r);
88		#endif
89		exp_arg_i = exp( arg_i);
90		pxe_arg_i = exp(-arg_i);
91		sinh_arg_i = (exp_arg_i-pxe_arg_i)/2;
92		cosh_arg_i = (exp_arg_i+pxe_arg_i)/2;
93		r = 2.0cos_arg_rcosh_arg_i;
94		i = -2.0sin_arg_rsinh_arg_i;
95		/* summation loop */
96		for (hi1 = hr1 = hi = 0.0, hr = *--p; a - p;) {
97		hr2 = hr1;
98		hi2 = hi1;
99		hr1 = hr;
100		hi1 = hi;
101		hr = -hr2 + rhr1 - ihi1 + *--p;
102		hi = -hi2 + ihr1 + rhi1;
103		}
104		r = sin_arg_r*cosh_arg_i;
105		i = cos_arg_r*sinh_arg_i;
106		R = rhr - i*hi;
107		I = rhi + i*hr;
108		return(*R);
109		}
110		static double
	109	sin_arg_r = sin(arg_r);
	110	cos_arg_r = cos(arg_r);
	111	#endif
	112	sinh_arg_i = sinh(arg_i);
	113	cosh_arg_i = cosh(arg_i);
	114	r = 2cos_arg_rcosh_arg_i;
	115	i = -2sin_arg_rsinh_arg_i;
	116	/* summation loop */
	117	for (hi1 = hr1 = hi = 0, hr = *--p; a - p;) {
	118	hr2 = hr1;
	119	hi2 = hi1;
	120	hr1 = hr;
	121	hi1 = hi;
	122	hr = -hr2 + rhr1 - ihi1 + *--p;
	123	hi = -hi2 + ihr1 + rhi1;
	124	}
	125	r = sin_arg_r*cosh_arg_i;
	126	i = cos_arg_r*sinh_arg_i;
	127	R = rhr - i*hi;
	128	I = rhi + i*hr;
	129	return(*R);
	130	}
	131	static double
111	132	clens(double *a, int size, double arg_r) {
112		double *p, r, hr, hr1, hr2, cos_arg_r;
113
114		p = a + size;
115		cos_arg_r = cos(arg_r);
116		r = 2.0*cos_arg_r;
117		/* summation loop */
118		for (hr1 = 0.0, hr = *--p; a - p;) {
119		hr2 = hr1;
120		hr1 = hr;
121		hr = -hr2 + rhr1 + --p;
122		}
123		return(sin(arg_r)*hr);
124		}
125
	133	double *p, r, hr, hr1, hr2, cos_arg_r;
	134
	135	p = a + size;
	136	cos_arg_r = cos(arg_r);
	137	r = 2*cos_arg_r;
	138	/* summation loop */
	139	for (hr1 = 0, hr = *--p; a - p;) {
	140	hr2 = hr1;
	141	hr1 = hr;
	142	hr = -hr2 + rhr1 + --p;
	143	}
	144	return(sin(arg_r)*hr);
	145	}
126	146
127	147	FORWARD(e_forward); /* ellipsoid */
128		double sin_Cn, cos_Cn, cos_Ce, sin_Ce, dCn, dCe;
129		double Cn = lp.phi, Ce = lp.lam;
130
131		/* ell. LAT, LNG -> Gaussian LAT, LNG */
132		Cn = gatg(P->cbg, 5, Cn);
133		/* Gaussian LAT, LNG -> compl. sph. LAT */
134		#ifdef _GNU_SOURCE
135		sincos(Cn, &sin_Cn, &cos_Cn);
136		sincos(Ce, &sin_Ce, &cos_Ce);
	148	double sin_Cn, cos_Cn, cos_Ce, sin_Ce, dCn, dCe;
	149	double Cn = lp.phi, Ce = lp.lam;
	150
	151	/* ell. LAT, LNG -> Gaussian LAT, LNG */
	152	Cn = gatg(P->cbg, PROJ_ETMERC_ORDER, Cn);
	153	/* Gaussian LAT, LNG -> compl. sph. LAT */
	154	#ifdef _GNU_SOURCE
	155	sincos(Cn, &sin_Cn, &cos_Cn);
	156	sincos(Ce, &sin_Ce, &cos_Ce);
137	157	#else
138		sin_Cn = sin(Cn);
139		cos_Cn = cos(Cn);
140		sin_Ce = sin(Ce);
141		cos_Ce = cos(Ce);
142		#endif
143
144		Cn = atan2(sin_Cn, cos_Ce*cos_Cn);
145		Ce = atan2(sin_Cecos_Cn, hypot(sin_Cn, cos_Cncos_Ce));
146		/* compl. sph. N, E -> ell. norm. N, E */
147		Ce = log(tan(FORTPI + Ce*0.5));
148		Cn += clenS(P->gtu, 5, 2.Cn, 2.Ce, &dCn, &dCe);
149		Ce += dCe;
150		if (FABS(Ce) <= 2.623395162778) {
151		xy.y = P->Qn * Cn + P->Zb; /* Northing */
152		xy.x = P->Qn * Ce; /* Easting */
153		} else
154		xy.x = xy.y = HUGE_VAL;
155		return (xy);
156		}
157
	158	sin_Cn = sin(Cn);
	159	cos_Cn = cos(Cn);
	160	sin_Ce = sin(Ce);
	161	cos_Ce = cos(Ce);
	162	#endif
	163
	164	Cn = atan2(sin_Cn, cos_Ce*cos_Cn);
	165	Ce = atan2(sin_Cecos_Cn, hypot(sin_Cn, cos_Cncos_Ce));
	166	/* compl. sph. N, E -> ell. norm. N, E */
	167	Ce = asinhy(tan(Ce)); /* Replaces: Ce = log(tan(FORTPI + Ce0.5)); /
	168	Cn += clenS(P->gtu, PROJ_ETMERC_ORDER, 2Cn, 2Ce, &dCn, &dCe);
	169	Ce += dCe;
	170	if (fabs(Ce) <= 2.623395162778) {
	171	xy.y = P->Qn * Cn + P->Zb; /* Northing */
	172	xy.x = P->Qn * Ce; /* Easting */
	173	} else
	174	xy.x = xy.y = HUGE_VAL;
	175	return (xy);
	176	}
158	177
159	178	INVERSE(e_inverse); /* ellipsoid */
160		double sin_Cn, cos_Cn, cos_Ce, sin_Ce, dCn, dCe;
161		double Cn = xy.y, Ce = xy.x;
162
163		/* normalize N, E */
164		Cn = (Cn - P->Zb)/P->Qn;
165		Ce = Ce/P->Qn;
166		if (FABS(Ce) <= 2.623395162778) { /* 150 degrees */
167		/* norm. N, E -> compl. sph. LAT, LNG */
168		Cn += clenS(P->utg, 5, 2.Cn, 2.Ce, &dCn, &dCe);
169		Ce += dCe;
170		Ce = 2.0*(atan(exp(Ce)) - FORTPI);
171		/* compl. sph. LAT -> Gaussian LAT, LNG */
172		#ifdef _GNU_SOURCE
173		sincos(Cn, &sin_Cn, &cos_Cn);
174		sincos(Ce, &sin_Ce, &cos_Ce);
	179	double sin_Cn, cos_Cn, cos_Ce, sin_Ce, dCn, dCe;
	180	double Cn = xy.y, Ce = xy.x;
	181
	182	/* normalize N, E */
	183	Cn = (Cn - P->Zb)/P->Qn;
	184	Ce = Ce/P->Qn;
	185	if (fabs(Ce) <= 2.623395162778) { /* 150 degrees */
	186	/* norm. N, E -> compl. sph. LAT, LNG */
	187	Cn += clenS(P->utg, PROJ_ETMERC_ORDER, 2Cn, 2Ce, &dCn, &dCe);
	188	Ce += dCe;
	189	Ce = atan(sinh(Ce)); /* Replaces: Ce = 2(atan(exp(Ce)) - FORTPI); /
	190	/* compl. sph. LAT -> Gaussian LAT, LNG */
	191	#ifdef _GNU_SOURCE
	192	sincos(Cn, &sin_Cn, &cos_Cn);
	193	sincos(Ce, &sin_Ce, &cos_Ce);
175	194	#else
176		sin_Cn = sin(Cn);
177		cos_Cn = cos(Cn);
178		sin_Ce = sin(Ce);
179		cos_Ce = cos(Ce);
180		#endif
181		Ce = atan2(sin_Ce, cos_Ce*cos_Cn);
182		Cn = atan2(sin_Cncos_Ce, hypot(sin_Ce, cos_Cecos_Cn));
183		/* Gaussian LAT, LNG -> ell. LAT, LNG */
184		lp.phi = gatg(P->cgb, 5, Cn);
185		lp.lam = Ce;
186		}
187		else
188		lp.phi = lp.lam = HUGE_VAL;
189		return (lp);
190		}
191
	195	sin_Cn = sin(Cn);
	196	cos_Cn = cos(Cn);
	197	sin_Ce = sin(Ce);
	198	cos_Ce = cos(Ce);
	199	#endif
	200	Ce = atan2(sin_Ce, cos_Ce*cos_Cn);
	201	Cn = atan2(sin_Cncos_Ce, hypot(sin_Ce, cos_Cecos_Cn));
	202	/* Gaussian LAT, LNG -> ell. LAT, LNG */
	203	lp.phi = gatg(P->cgb, PROJ_ETMERC_ORDER, Cn);
	204	lp.lam = Ce;
	205	}
	206	else
	207	lp.phi = lp.lam = HUGE_VAL;
	208	return (lp);
	209	}
192	210
193	211	FREEUP; if (P) free(P); }
194	212
195
196	213	ENTRY0(etmerc)
197		double f, n, np, Z;
198
199		if (P->es <= 0.) E_ERROR(-34);
200		f = 1. - sqrt(1. - P->es);
201		/* third flattening */
202		np = n = f/(2.0 - f);
203
204		/* COEF. OF TRIG SERIES GEO <-> GAUSS */
205		/* cgb := Gaussian -> Geodetic, KW p190 - 191 (61) - (62) */
206		/* cbg := Geodetic -> Gaussian, KW p186 - 187 (51) - (52) */
207		/* 5 degree : Engsager and Poder: ICC2007 */
208		P->cgb[0] = n( 2.0 + n(-2.0/3.0 + n(-2.0 + n(116.0/45.0 + n*(26.0/45.0)))));
209		P->cbg[0] = n(-2.0 + n( 2.0/3.0 + n( 4.0/3.0 + n(-82.0/45.0 + n*(32.0/45.0)))));
210		np *= n;
211		P->cgb[1] = np(7.0/3.0 + n( -8.0/5.0 + n(-227.0/45.0 + n(2704.0/315.0))));
212		P->cbg[1] = np(5.0/3.0 + n(-16.0/15.0 + n( -13.0/ 9.0 + n( 904.0/315.0))));
213		np *= n;
214		P->cgb[2] = np( 56.0/15.0 + n(-136.0/35.0 + n*(1262.0/105.0)));
215		P->cbg[2] = np(-26.0/15.0 + n( 34.0/21.0 + n*( 8.0/ 5.0)));
216		np *= n;
217		P->cgb[3] = np(4279.0/630.0 + n(-322.0/35.0));
218		P->cbg[3] = np(1237.0/630.0 + n( -12.0/ 5.0));
219		np *= n;
220		P->cgb[4] = np*(4174.0/315.0);
221		P->cbg[4] = np*(-734.0/315.0);
222
223		/* Constants of the projections */
224		/* Transverse Mercator (UTM, ITM, etc) */
225		np = n*n;
226		/* Norm. mer. quad, K&W p.50 (96), p.19 (38b), p.5 (2) */
227		P->Qn = P->k0/(1 + n) * (1. + np(1./4.0 + np(1./64.0 + np/256.0)));
228		/* coef of trig series */
229		/* utg := ell. N, E -> sph. N, E, KW p194 (65) */
230		/* gtu := sph. N, E -> ell. N, E, KW p196 (69) */
231		P->utg[0] = n(-0.5 + n( 2.0/3.0 + n(-37.0/96.0 + n( 1.0/360.0 + n*( 81.0/512.0)))));
232		P->gtu[0] = n( 0.5 + n(-2.0/3.0 + n( 5.0/16.0 + n(41.0/180.0 + n*(-127.0/288.0)))));
233		P->utg[1] = np(-1.0/48.0 + n(-1.0/15.0 + n(437.0/1440.0 + n(-46.0/105.0))));
234		P->gtu[1] = np(13.0/48.0 + n(-3.0/5.0 + n(557.0/1440.0 + n(281.0/630.0))));
235		np *= n;
236		P->utg[2] = np(-17.0/480.0 + n( 37.0/840.0 + n*( 209.0/ 4480.0)));
237		P->gtu[2] = np( 61.0/240.0 + n(-103.0/140.0 + n*(15061.0/26880.0)));
238		np *= n;
239		P->utg[3] = np(-4397.0/161280.0 + n( 11.0/504.0));
240		P->gtu[3] = np(49561.0/161280.0 + n(-179.0/168.0));
241		np *= n;
242		P->utg[4] = np*(-4583.0/161280.0);
243		P->gtu[4] = np*(34729.0/ 80640.0);
244		/* Gaussian latitude value of the origin latitude */
245		Z = gatg(P->cbg, 5, P->phi0);
246		/* Origin northing minus true northing at the origin latitude */
247		/* i.e. true northing = N - P->Zb */
248		P->Zb = - P->Qn(Z + clens(P->gtu, 5, 2.0Z));
249		P->inv = e_inverse;
250		P->fwd = e_forward;
	214	double f, n, np, Z;
	215
	216	if (P->es <= 0) E_ERROR(-34);
	217	f = P->es / (1 + sqrt(1 - P->es)); /* Replaces: f = 1 - sqrt(1-P->es); */
	218	/* third flattening */
	219	np = n = f/(2 - f);
	220
	221	/* COEF. OF TRIG SERIES GEO <-> GAUSS */
	222	/* cgb := Gaussian -> Geodetic, KW p190 - 191 (61) - (62) */
	223	/* cbg := Geodetic -> Gaussian, KW p186 - 187 (51) - (52) */
	224	/* PROJ_ETMERC_ORDER = 6th degree : Engsager and Poder: ICC2007 */
	225	P->cgb[0] = n( 2 + n(-2/3.0 + n(-2 + n(116/45.0 + n*(26/45.0 +
	226	n*(-2854/675.0 ))))));
	227	P->cbg[0] = n(-2 + n( 2/3.0 + n( 4/3.0 + n(-82/45.0 + n*(32/45.0 +
	228	n*( 4642/4725.0))))));
	229	np *= n;
	230	P->cgb[1] = np(7/3.0 + n( -8/5.0 + n(-227/45.0 + n(2704/315.0 +
	231	n*( 2323/945.0)))));
	232	P->cbg[1] = np(5/3.0 + n(-16/15.0 + n( -13/9.0 + n( 904/315.0 +
	233	n*(-1522/945.0)))));
	234	np *= n;
	235	/* n^5 coeff corrected from 1262/105 -> -1262/105 */
	236	P->cgb[2] = np( 56/15.0 + n(-136/35.0 + n*(-1262/105.0 +
	237	n*( 73814/2835.0))));
	238	P->cbg[2] = np(-26/15.0 + n( 34/21.0 + n*( 8/5.0 +
	239	n*(-12686/2835.0))));
	240	np *= n;
	241	/* n^5 coeff corrected from 322/35 -> 332/35 */
	242	P->cgb[3] = np(4279/630.0 + n(-332/35.0 + n*(-399572/14175.0)));
	243	P->cbg[3] = np(1237/630.0 + n( -12/5.0 + n*( -24832/14175.0)));
	244	np *= n;
	245	P->cgb[4] = np(4174/315.0 + n(-144838/6237.0 ));
	246	P->cbg[4] = np(-734/315.0 + n( 109598/31185.0));
	247	np *= n;
	248	P->cgb[5] = np*(601676/22275.0 );
	249	P->cbg[5] = np*(444337/155925.0);
	250
	251	/* Constants of the projections */
	252	/* Transverse Mercator (UTM, ITM, etc) */
	253	np = n*n;
	254	/* Norm. mer. quad, K&W p.50 (96), p.19 (38b), p.5 (2) */
	255	P->Qn = P->k0/(1 + n) * (1 + np(1/4.0 + np(1/64.0 + np/256.0)));
	256	/* coef of trig series */
	257	/* utg := ell. N, E -> sph. N, E, KW p194 (65) */
	258	/* gtu := sph. N, E -> ell. N, E, KW p196 (69) */
	259	P->utg[0] = n(-0.5 + n( 2/3.0 + n(-37/96.0 + n( 1/360.0 +
	260	n( 81/512.0 + n(-96199/604800.0))))));
	261	P->gtu[0] = n( 0.5 + n(-2/3.0 + n( 5/16.0 + n(41/180.0 +
	262	n(-127/288.0 + n( 7891/37800.0 ))))));
	263	P->utg[1] = np(-1/48.0 + n(-1/15.0 + n(437/1440.0 + n(-46/105.0 +
	264	n*( 1118711/3870720.0)))));
	265	P->gtu[1] = np(13/48.0 + n(-3/5.0 + n(557/1440.0 + n(281/630.0 +
	266	n*(-1983433/1935360.0)))));
	267	np *= n;
	268	P->utg[2] = np(-17/480.0 + n( 37/840.0 + n*( 209/4480.0 +
	269	n*( -5569/90720.0 ))));
	270	P->gtu[2] = np( 61/240.0 + n(-103/140.0 + n*(15061/26880.0 +
	271	n*(167603/181440.0))));
	272	np *= n;
	273	P->utg[3] = np(-4397/161280.0 + n( 11/504.0 + n*( 830251/7257600.0)));
	274	P->gtu[3] = np(49561/161280.0 + n(-179/168.0 + n*(6601661/7257600.0)));
	275	np *= n;
	276	P->utg[4] = np(-4583/161280.0 + n( 108847/3991680.0));
	277	P->gtu[4] = np(34729/80640.0 + n(-3418889/1995840.0));
	278	np *= n;
	279	P->utg[5] = np*(-20648693/638668800.0);
	280	P->gtu[5] = np*(212378941/319334400.0);
	281	/* Gaussian latitude value of the origin latitude */
	282	Z = gatg(P->cbg, PROJ_ETMERC_ORDER, P->phi0);
	283	/* Origin northing minus true northing at the origin latitude */
	284	/* i.e. true northing = N - P->Zb */
	285	P->Zb = - P->Qn(Z + clens(P->gtu, PROJ_ETMERC_ORDER, 2Z));
	286	P->inv = e_inverse;
	287	P->fwd = e_forward;
251	288	ENDENTRY(P)

-10

src/projects.h less more

0	0	/******************************************************************************
1		* $Id: projects.h 2219 2012-06-19 04:18:00Z warmerdam $
	1	* $Id: projects.h 2356 2013-06-25 01:02:23Z warmerdam $
2	2	*
3	3	* Project: PROJ.4
4	4	* Purpose: Primary (private) include file for PROJ.4 library.

99	99	#define PI 3.14159265358979323846
100	100	#define TWOPI 6.2831853071795864769
101	101
102		/* environment parameter name */
103		#ifndef PROJ_LIB
104		#define PROJ_LIB "PROJ_LIB"
105		#endif
106	102	/* maximum tag id length for +init and default files */
107	103	#ifndef ID_TAG_MAX
108	104	#define ID_TAG_MAX 50

123	119	#else
124	120	#define DIR_CHAR '/'
125	121	#endif
	122
	123	struct projFileAPI_t;
126	124
127	125	/* proj thread context */
128	126	typedef struct {

130	128	int debug_level;
131	129	void (logger)(void , int, const char *);
132	130	void *app_data;
	131	struct projFileAPI_t *fileapi;
133	132	} projCtx_t;
134	133
135	134	/* datum_type values */

420	419	double pj_authlat(double, double *);
421	420	COMPLEX pj_zpoly1(COMPLEX, COMPLEX *, int);
422	421	COMPLEX pj_zpolyd1(COMPLEX, COMPLEX , int, COMPLEX );
423		FILE pj_open_lib(projCtx, char , char *);
424	422
425	423	int pj_deriv(LP, double, PJ , struct DERIVS );
426	424	int pj_factors(LP, PJ , double, struct FACTORS );

451	449	LP nad_intr(LP, struct CTABLE *);
452	450	LP nad_cvt(LP, int, struct CTABLE *);
453	451	struct CTABLE nad_init(projCtx ctx, char );
454		struct CTABLE nad_ctable_init( projCtx ctx, FILE fid );
455		int nad_ctable_load( projCtx ctx, struct CTABLE , FILE fid );
456		struct CTABLE nad_ctable2_init( projCtx ctx, FILE fid );
457		int nad_ctable2_load( projCtx ctx, struct CTABLE , FILE fid );
	452	struct CTABLE *nad_ctable_init( projCtx ctx, PAFile fid );
	453	int nad_ctable_load( projCtx ctx, struct CTABLE *, PAFile fid );
	454	struct CTABLE *nad_ctable2_init( projCtx ctx, PAFile fid );
	455	int nad_ctable2_load( projCtx ctx, struct CTABLE *, PAFile fid );
458	456	void nad_free(struct CTABLE *);
459	457
460	458	/* higher level handling of datum grid shift files */

+52

-0

unittest/test.py less more

	0	"""Rewrite part of test.py in pyproj in the form of unittests."""
	1	import unittest
	2	from pyproj import Proj
	3
	4
	5	class BasicTest(unittest.TestCase):
	6
	7	def testProj4Version(self):
	8	awips221 = Proj(proj='lcc',R=6371200,lat_1=50,lat_2=50,lon_0=-107)
	9	#self.assertEqual(awips221.proj_version, 4.9)
	10
	11	def testProjAwips221(self):
	12	# AWIPS is Advanced Weather Interactive Processing System
	13	params = {'proj': 'lcc', 'R': 6371200, 'lat_1': 50, 'lat_2': 50,
	14	'lon_0': -107}
	15	nx = 349
	16	ny = 277
	17	awips221 = Proj(proj=params['proj'], R=params['R'],
	18	lat_1=params['lat_1'], lat_2=params['lat_2'],
	19	lon_0=params['lon_0'])
	20	awips221_from_dict = Proj(params)
	21
	22	items = sorted([val for val in awips221.srs.split() if val])
	23	items_dict = sorted([val for val in awips221_from_dict.srs.split() if val])
	24	self.assertEqual(items, items_dict)
	25
	26	expected = sorted(('+units=m', '+proj=lcc', '+lat_2=50', '+lat_1=50',
	27	'+lon_0=-107','+R=6371200'))
	28	self.assertEqual(items, expected)
	29
	30	point = awips221(-145.5,1.)
	31	x, y = -5632642.22547495, 1636571.4883145525
	32	self.assertAlmostEqual(point[0], x)
	33	self.assertAlmostEqual(point[1], y)
	34
	35	pairs = [
	36	[(-45,45), (4351601.20766915, 7606948.029327129)],
	37	[(45,45), (5285389.07739382, 14223336.17467613)],
	38	[(45,-45), (20394982.466924712, 21736546.456803113)],
	39	[(-45,-45), (16791730.756976362, -3794425.4816524936)]
	40	]
	41	for point_geog, expected in pairs:
	42	point = awips221(*point_geog)
	43	self.assertAlmostEqual(point[0], expected[0])
	44	self.assertAlmostEqual(point[1], expected[1])
	45	point_geog2 = awips221(*point, inverse=True)
	46	self.assertAlmostEqual(point_geog[0], point_geog2[0])
	47	self.assertAlmostEqual(point_geog[1], point_geog2[1])
	48
	49
	50	if __name__ == '__main__':
	51	unittest.main()