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_proj.pyx
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#cimport c_numpy
#c_numpy.import_array()
import math
cdef double _dg2rad, _rad2dg
_dg2rad = math.radians(1.)
_rad2dg = math.degrees(1.)
_doublesize = sizeof(double)
__version__ = "1.9.4"
cdef extern from "math.h":
cdef enum:
HUGE_VAL
FP_NAN
cdef extern from "geodesic.h":
struct geod_geodesic:
pass
void geod_init(geod_geodesic* g, double a, double f)
void geod_direct(geod_geodesic* g,\
double lat1, double lon1, double azi1, double s12,\
double* plat2, double* plon2, double* pazi2)
void geod_inverse(geod_geodesic* g,\
double lat1, double lon1, double lat2, double lon2,\
double* ps12, double* pazi1, double* pazi2)
cdef extern from "proj_api.h":
ctypedef struct projUV:
double u
double v
ctypedef void *projPJ
ctypedef void *projCtx
projPJ pj_init_plus(char *)
projPJ pj_init_plus_ctx(projCtx, char *)
projUV pj_fwd(projUV, projPJ)
projUV pj_inv(projUV, projPJ)
projPJ pj_latlong_from_proj(projPJ)
int pj_transform(projPJ src, projPJ dst, long point_count, int point_offset,
double *x, double *y, double *z)
int pj_is_latlong(projPJ)
char *pj_get_def( projPJ pj, int options)
int pj_is_geocent(projPJ)
char *pj_strerrno(int)
void pj_ctx_free( projCtx )
int pj_ctx_get_errno( projCtx )
projCtx pj_ctx_alloc()
projCtx pj_get_default_ctx()
void pj_free(projPJ)
void pj_set_searchpath ( int count, char **path )
cdef enum:
PJ_VERSION
cdef extern from "Python.h":
int PyObject_AsWriteBuffer(object, void **rbuf, Py_ssize_t *len)
def set_datapath(datapath):
bytestr = _strencode(datapath)
cdef const char *searchpath = bytestr
pj_set_searchpath(1, &searchpath)
def _createproj(projstring):
return Proj(projstring)
cdef class Proj:
cdef projPJ projpj
cdef projCtx projctx
cdef public object proj_version
cdef char *pjinitstring
cdef public object srs
def __cinit__(self, projstring):
# setup proj initialization string.
cdef int err
self.srs = projstring
bytestr = _strencode(projstring)
self.pjinitstring = bytestr
# initialize projection
self.projctx = pj_ctx_alloc()
self.projpj = pj_init_plus_ctx(self.projctx, self.pjinitstring)
err = pj_ctx_get_errno(self.projctx)
if err != 0:
raise RuntimeError(pj_strerrno(err))
self.proj_version = PJ_VERSION/100.
def __dealloc__(self):
"""destroy projection definition"""
pj_free(self.projpj)
pj_ctx_free(self.projctx)
def to_latlong(self):
"""return a new Proj instance which is the geographic (lat/lon)
coordinate version of the current projection"""
cdef projPJ llpj
llpj = pj_latlong_from_proj(self.projpj)
initstring = pj_get_def(llpj, 0)
pj_free(llpj)
return _createproj(initstring)
def __reduce__(self):
"""special method that allows pyproj.Proj instance to be pickled"""
return (self.__class__,(self.srs,))
def _fwd(self, object lons, object lats, radians=False, errcheck=False):
"""
forward transformation - lons,lats to x,y (done in place).
if radians=True, lons/lats are radians instead of degrees.
if errcheck=True, an exception is raised if the forward transformation is invalid.
if errcheck=False and the forward transformation is invalid, no exception is
raised and 1.e30 is returned.
"""
cdef projUV projxyout, projlonlatin
cdef Py_ssize_t buflenx, bufleny, ndim, i
cdef double u, v
cdef double *lonsdata, *latsdata
cdef void *londata, *latdata
cdef int err
# if buffer api is supported, get pointer to data buffers.
if PyObject_AsWriteBuffer(lons, &londata, &buflenx) <> 0:
raise RuntimeError
if PyObject_AsWriteBuffer(lats, &latdata, &bufleny) <> 0:
raise RuntimeError
# process data in buffer
if buflenx != bufleny:
raise RuntimeError("Buffer lengths not the same")
ndim = buflenx//_doublesize
lonsdata = <double *>londata
latsdata = <double *>latdata
for i from 0 <= i < ndim:
# if inputs are nan's, return big number.
if lonsdata[i] != lonsdata[i] or latsdata[i] != latsdata[i]:
lonsdata[i]=1.e30; latsdata[i]=1.e30
if errcheck:
raise RuntimeError('projection undefined')
continue
if radians:
projlonlatin.u = lonsdata[i]
projlonlatin.v = latsdata[i]
else:
projlonlatin.u = _dg2rad*lonsdata[i]
projlonlatin.v = _dg2rad*latsdata[i]
projxyout = pj_fwd(projlonlatin,self.projpj)
if errcheck:
err = pj_ctx_get_errno(self.projctx)
if err != 0:
raise RuntimeError(pj_strerrno(err))
# since HUGE_VAL can be 'inf',
# change it to a real (but very large) number.
# also check for NaNs.
if projxyout.u == HUGE_VAL or\
projxyout.u != projxyout.u:
if errcheck:
raise RuntimeError('projection undefined')
lonsdata[i] = 1.e30
else:
lonsdata[i] = projxyout.u
if projxyout.v == HUGE_VAL or\
projxyout.u != projxyout.u:
if errcheck:
raise RuntimeError('projection undefined')
latsdata[i] = 1.e30
else:
latsdata[i] = projxyout.v
def _inv(self, object x, object y, radians=False, errcheck=False):
"""
inverse transformation - x,y to lons,lats (done in place).
if radians=True, lons/lats are radians instead of degrees.
if errcheck=True, an exception is raised if the inverse transformation is invalid.
if errcheck=False and the inverse transformation is invalid, no exception is
raised and 1.e30 is returned.
"""
cdef projUV projxyin, projlonlatout
cdef Py_ssize_t buflenx, bufleny, ndim, i
cdef double u, v
cdef void *xdata, *ydata
cdef double *xdatab, *ydatab
# if buffer api is supported, get pointer to data buffers.
if PyObject_AsWriteBuffer(x, &xdata, &buflenx) <> 0:
raise RuntimeError
if PyObject_AsWriteBuffer(y, &ydata, &bufleny) <> 0:
raise RuntimeError
# process data in buffer
# (for numpy/regular python arrays).
if buflenx != bufleny:
raise RuntimeError("Buffer lengths not the same")
ndim = buflenx//_doublesize
xdatab = <double *>xdata
ydatab = <double *>ydata
for i from 0 <= i < ndim:
# if inputs are nan's, return big number.
if xdatab[i] != xdatab[i] or ydatab[i] != ydatab[i]:
xdatab[i]=1.e30; ydatab[i]=1.e30
if errcheck:
raise RuntimeError('projection undefined')
continue
projxyin.u = xdatab[i]
projxyin.v = ydatab[i]
projlonlatout = pj_inv(projxyin,self.projpj)
if errcheck:
err = pj_ctx_get_errno(self.projctx)
if err != 0:
raise RuntimeError(pj_strerrno(err))
# since HUGE_VAL can be 'inf',
# change it to a real (but very large) number.
# also check for NaNs.
if projlonlatout.u == HUGE_VAL or \
projlonlatout.u != projlonlatout.u:
if errcheck:
raise RuntimeError('projection undefined')
xdatab[i] = 1.e30
elif radians:
xdatab[i] = projlonlatout.u
else:
xdatab[i] = _rad2dg*projlonlatout.u
if projlonlatout.v == HUGE_VAL or \
projlonlatout.v != projlonlatout.v:
if errcheck:
raise RuntimeError('projection undefined')
ydatab[i] = 1.e30
elif radians:
ydatab[i] = projlonlatout.v
else:
ydatab[i] = _rad2dg*projlonlatout.v
# def _fwdn(self, c_numpy.ndarray lonlat, radians=False, errcheck=False):
# """
#forward transformation - lons,lats to x,y (done in place).
#Uses ndarray of shape ...,2.
#if radians=True, lons/lats are radians instead of degrees.
#if errcheck=True, an exception is raised if the forward
# transformation is invalid.
#if errcheck=False and the forward transformation is
# invalid, no exception is
# raised and 1.e30 is returned.
# """
# cdef projUV projxyout, projlonlatin
# cdef projUV *llptr
# cdef int err
# cdef Py_ssize_t npts, i
# npts = c_numpy.PyArray_SIZE(lonlat)//2
# llptr = <projUV *>lonlat.data
# for i from 0 <= i < npts:
# if radians:
# projlonlatin = llptr[i]
# else:
# projlonlatin.u = _dg2rad*llptr[i].u
# projlonlatin.v = _dg2rad*llptr[i].v
# projxyout = pj_fwd(projlonlatin,self.projpj)
# if errcheck:
# err = pj_ctx_get_errno(self.projctx)
# if err != 0:
# raise RuntimeError(pj_strerrno(err))
# # since HUGE_VAL can be 'inf',
# # change it to a real (but very large) number.
# if projxyout.u == HUGE_VAL:
# llptr[i].u = 1.e30
# else:
# llptr[i].u = projxyout.u
# if projxyout.v == HUGE_VAL:
# llptr[i].u = 1.e30
# else:
# llptr[i].v = projxyout.v
# def _invn(self, c_numpy.ndarray xy, radians=False, errcheck=False):
# """
#inverse transformation - x,y to lons,lats (done in place).
#Uses ndarray of shape ...,2.
#if radians=True, lons/lats are radians instead of degrees.
#if errcheck=True, an exception is raised if the inverse transformation is invalid.
#if errcheck=False and the inverse transformation is invalid, no exception is
#raised and 1.e30 is returned.
# """
# cdef projUV projxyin, projlonlatout
# cdef projUV *llptr
# cdef Py_ssize_t npts, i
# npts = c_numpy.PyArray_SIZE(xy)//2
# llptr = <projUV *>xy.data
# for i from 0 <= i < npts:
# projxyin = llptr[i]
# projlonlatout = pj_inv(projxyin, self.projpj)
# if errcheck:
# err = pj_ctx_get_errno(self.projctx)
# if err != 0:
# raise RuntimeError(pj_strerrno(err))
# # since HUGE_VAL can be 'inf',
# # change it to a real (but very large) number.
# if projlonlatout.u == HUGE_VAL:
# llptr[i].u = 1.e30
# elif radians:
# llptr[i].u = projlonlatout.u
# else:
# llptr[i].u = _rad2dg*projlonlatout.u
# if projlonlatout.v == HUGE_VAL:
# llptr[i].v = 1.e30
# elif radians:
# llptr[i].v = projlonlatout.v
# else:
# llptr[i].v = _rad2dg*projlonlatout.v
def is_latlong(self):
# returns True if projection in geographic (lon/lat) coordinates
cdef int i
i = pj_is_latlong(self.projpj)
if i:
return True
else:
return False
def is_geocent(self):
# returns True if projection in geocentric (x/y) coordinates
cdef int i
i = pj_is_geocent(self.projpj)
if i:
return True
else:
return False
def _transform(Proj p1, Proj p2, inx, iny, inz, radians):
# private function to call pj_transform
cdef void *xdata, *ydata, *zdata
cdef double *xx, *yy, *zz
cdef Py_ssize_t buflenx, bufleny, buflenz, npts, i
cdef int err
if PyObject_AsWriteBuffer(inx, &xdata, &buflenx) <> 0:
raise RuntimeError
if PyObject_AsWriteBuffer(iny, &ydata, &bufleny) <> 0:
raise RuntimeError
if inz is not None:
if PyObject_AsWriteBuffer(inz, &zdata, &buflenz) <> 0:
raise RuntimeError
else:
buflenz = bufleny
if not (buflenx == bufleny == buflenz):
raise RuntimeError('x,y and z must be same size')
xx = <double *>xdata
yy = <double *>ydata
if inz is not None:
zz = <double *>zdata
npts = buflenx/8
if not radians and p1.is_latlong():
for i from 0 <= i < npts:
xx[i] = xx[i]*_dg2rad
yy[i] = yy[i]*_dg2rad
if inz is not None:
err = pj_transform(p1.projpj, p2.projpj, npts, 0, xx, yy, zz)
else:
err = pj_transform(p1.projpj, p2.projpj, npts, 0, xx, yy, NULL)
if err != 0:
raise RuntimeError(pj_strerrno(err))
if not radians and p2.is_latlong():
for i from 0 <= i < npts:
xx[i] = xx[i]*_rad2dg
yy[i] = yy[i]*_rad2dg
cdef _strencode(pystr,encoding='ascii'):
# encode a string into bytes. If already bytes, do nothing.
try:
return pystr.encode(encoding)
except AttributeError:
return pystr # already bytes?
cdef class Geod:
cdef geod_geodesic _geod_geodesic
cdef public object initstring
def __cinit__(self, a, f):
self.initstring = '+a=%s +f=%s' % (a, f)
geod_init(&self._geod_geodesic, <double> a, <double> f)
def __reduce__(self):
"""special method that allows pyproj.Geod instance to be pickled"""
return (self.__class__,(self.initstring,))
def _fwd(self, object lons, object lats, object az, object dist, radians=False):
"""
forward transformation - determine longitude, latitude and back azimuth
of a terminus point given an initial point longitude and latitude, plus
forward azimuth and distance.
if radians=True, lons/lats are radians instead of degrees.
"""
cdef Py_ssize_t buflenlons, buflenlats, buflenaz, buflend, ndim, i
cdef double lat1,lon1,az1,s12,plon2,plat2,pazi2
cdef double *lonsdata, *latsdata, *azdata, *distdata
cdef void *londata, *latdata, *azdat, *distdat
# if buffer api is supported, get pointer to data buffers.
if PyObject_AsWriteBuffer(lons, &londata, &buflenlons) <> 0:
raise RuntimeError
if PyObject_AsWriteBuffer(lats, &latdata, &buflenlats) <> 0:
raise RuntimeError
if PyObject_AsWriteBuffer(az, &azdat, &buflenaz) <> 0:
raise RuntimeError
if PyObject_AsWriteBuffer(dist, &distdat, &buflend) <> 0:
raise RuntimeError
# process data in buffer
if not buflenlons == buflenlats == buflenaz == buflend:
raise RuntimeError("Buffer lengths not the same")
ndim = buflenlons//_doublesize
lonsdata = <double *>londata
latsdata = <double *>latdata
azdata = <double *>azdat
distdata = <double *>distdat
for i from 0 <= i < ndim:
if not radians:
lon1 = lonsdata[i]
lat1 = latsdata[i]
az1 = azdata[i]
s12 = distdata[i]
else:
lon1 = _dg2rad*lonsdata[i]
lat1 = _dg2rad*latsdata[i]
az1 = _dg2rad*azdata[i]
s12 = distdata[i]
geod_direct(&self._geod_geodesic, lat1, lon1, az1, s12,\
&plat2, &plon2, &pazi2)
# back azimuth needs to be flipped 180 degrees
# to match what proj4 geod utility produces.
if pazi2 > 0:
pazi2 = pazi2-180.
elif pazi2 <= 0:
pazi2 = pazi2+180.
# check for NaN.
if pazi2 != pazi2:
raise ValueError('undefined inverse geodesic (may be an antipodal point)')
if not radians:
lonsdata[i] = plon2
latsdata[i] = plat2
azdata[i] = pazi2
else:
lonsdata[i] = _rad2dg*plon2
latsdata[i] = _rad2dg*plat2
azdata[i] = _rad2dg*pazi2
def _inv(self, object lons1, object lats1, object lons2, object lats2, radians=False):
"""
inverse transformation - return forward and back azimuths, plus distance
between an initial and terminus lat/lon pair.
if radians=True, lons/lats are radians instead of degrees.
"""
cdef double lat1,lon1,lat2,lon2,pazi1,pazi2,ps12
cdef Py_ssize_t buflenlons, buflenlats, buflenaz, buflend, ndim, i
cdef double *lonsdata, *latsdata, *azdata, *distdata
cdef void *londata, *latdata, *azdat, *distdat
# if buffer api is supported, get pointer to data buffers.
if PyObject_AsWriteBuffer(lons1, &londata, &buflenlons) <> 0:
raise RuntimeError
if PyObject_AsWriteBuffer(lats1, &latdata, &buflenlats) <> 0:
raise RuntimeError
if PyObject_AsWriteBuffer(lons2, &azdat, &buflenaz) <> 0:
raise RuntimeError
if PyObject_AsWriteBuffer(lats2, &distdat, &buflend) <> 0:
raise RuntimeError
# process data in buffer
if not buflenlons == buflenlats == buflenaz == buflend:
raise RuntimeError("Buffer lengths not the same")
ndim = buflenlons//_doublesize
lonsdata = <double *>londata
latsdata = <double *>latdata
azdata = <double *>azdat
distdata = <double *>distdat
errmsg = 'undefined inverse geodesic (may be an antipodal point)'
for i from 0 <= i < ndim:
if radians:
lon1 = _rad2dg*lonsdata[i]
lat1 = _rad2dg*latsdata[i]
lon2 = _rad2dg*azdata[i]
lat2 = _rad2dg*distdata[i]
else:
lon1 = lonsdata[i]
lat1 = latsdata[i]
lon2 = azdata[i]
lat2 = distdata[i]
geod_inverse(&self._geod_geodesic, lat1, lon1, lat2, lon2,
&ps12, &pazi1, &pazi2)
# back azimuth needs to be flipped 180 degrees
# to match what proj4 geod utility produces.
if pazi2 > 0:
pazi2 = pazi2-180.
elif pazi2 <= 0:
pazi2 = pazi2+180.
if ps12 != ps12: # check for NaN
raise ValueError('undefined inverse geodesic (may be an antipodal point)')
if radians:
lonsdata[i] = _rad2dg*pazi1
latsdata[i] = _rad2dg*pazi2
else:
lonsdata[i] = pazi1
latsdata[i] = pazi2
azdata[i] = ps12
def _npts(self, double lon1, double lat1, double lon2, double lat2, int npts, radians=False):
"""
given initial and terminus lat/lon, find npts intermediate points."""
cdef int i
cdef double del_s,ps12,pazi1,pazi2,s12,plon2,plat2
if radians:
lon1 = _rad2dg*lon1
lat1 = _rad2dg*lat1
lon2 = _rad2dg*lon2
lat2 = _rad2dg*lat2
# do inverse computation to set azimuths, distance.
geod_inverse(&self._geod_geodesic, lat1, lon1, lat2, lon2,
&ps12, &pazi1, &pazi2)
# distance increment.
del_s = ps12/(npts+1)
# initialize output tuples.
lats = ()
lons = ()
# loop over intermediate points, compute lat/lons.
for i from 1 <= i < npts+1:
s12 = i*del_s
geod_direct(&self._geod_geodesic, lat1, lon1, pazi1, s12,\
&plat2, &plon2, &pazi2)
if radians:
lats = lats + (_dg2rad*plat2,)
lons = lons + (_dg2rad*plon2,)
else:
lats = lats + (plat2,)
lons = lons + (plon2,)
return lons, lats