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WCSLIB 4.8 - an implementation of the FITS WCS standard.
Copyright (C) 1995-2011, Mark Calabretta
This file is part of WCSLIB.
WCSLIB is free software: you can redistribute it and/or modify it under the
terms of the GNU Lesser General Public License as published by the Free
Software Foundation, either version 3 of the License, or (at your option)
any later version.
WCSLIB is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
more details.
You should have received a copy of the GNU Lesser General Public License
along with WCSLIB. If not, see <http://www.gnu.org/licenses/>.
Correspondence concerning WCSLIB may be directed to:
Internet email: mcalabre@atnf.csiro.au
Postal address: Dr. Mark Calabretta
Australia Telescope National Facility, CSIRO
PO Box 76
Epping NSW 1710
AUSTRALIA
Author: Mark Calabretta, Australia Telescope National Facility
http://www.atnf.csiro.au/~mcalabre/index.html
$Id: prj.h,v 4.8.1.1 2011/08/15 08:07:06 cal103 Exp cal103 $
*=============================================================================
*
* WCSLIB 4.8 - C routines that implement the spherical map projections
* recognized by the FITS World Coordinate System (WCS) standard. Refer to
*
* "Representations of world coordinates in FITS",
* Greisen, E.W., & Calabretta, M.R. 2002, A&A, 395, 1061 (Paper I)
*
* "Representations of celestial coordinates in FITS",
* Calabretta, M.R., & Greisen, E.W. 2002, A&A, 395, 1077 (Paper II)
*
* Refer to the README file provided with WCSLIB for an overview of the
* library.
*
*
* Summary of the prj routines
* ---------------------------
* These routines implement the spherical map projections defined by the FITS
* WCS standard. They are based on the prjprm struct which contains all
* information needed for the computations. The struct contains some members
* that must be set by the user, and others that are maintained by these
* routines, somewhat like a C++ class but with no encapsulation.
*
* Routine prjini() is provided to initialize the prjprm struct with default
* values, prjfree() reclaims any memory that may have been allocated to store
* an error message, and prjprt() prints its contents.
*
* Setup routines for each projection with names of the form ???set(), where
* "???" is the down-cased three-letter projection code, compute intermediate
* values in the prjprm struct from parameters in it that were supplied by the
* user. The struct always needs to be set by the projection's setup routine
* but that need not be called explicitly - refer to the explanation of
* prjprm::flag.
*
* Each map projection is implemented via separate functions for the spherical
* projection, ???s2x(), and deprojection, ???x2s().
*
* A set of driver routines, prjset(), prjx2s(), and prjs2x(), provides a
* generic interface to the specific projection routines which they invoke
* via pointers-to-functions stored in the prjprm struct.
*
* In summary, the routines are:
* - prjini() Initialization routine for the prjprm struct.
* - prjprt() Routine to print the prjprm struct.
*
* - prjset(), prjx2s(), prjs2x(): Generic driver routines
*
* - azpset(), azpx2s(), azps2x(): AZP (zenithal/azimuthal perspective)
* - szpset(), szpx2s(), szps2x(): SZP (slant zenithal perspective)
* - tanset(), tanx2s(), tans2x(): TAN (gnomonic)
* - stgset(), stgx2s(), stgs2x(): STG (stereographic)
* - sinset(), sinx2s(), sins2x(): SIN (orthographic/synthesis)
* - arcset(), arcx2s(), arcs2x(): ARC (zenithal/azimuthal equidistant)
* - zpnset(), zpnx2s(), zpns2x(): ZPN (zenithal/azimuthal polynomial)
* - zeaset(), zeax2s(), zeas2x(): ZEA (zenithal/azimuthal equal area)
* - airset(), airx2s(), airs2x(): AIR (Airy)
* - cypset(), cypx2s(), cyps2x(): CYP (cylindrical perspective)
* - ceaset(), ceax2s(), ceas2x(): CEA (cylindrical equal area)
* - carset(), carx2s(), cars2x(): CAR (Plate carree)
* - merset(), merx2s(), mers2x(): MER (Mercator)
* - sflset(), sflx2s(), sfls2x(): SFL (Sanson-Flamsteed)
* - parset(), parx2s(), pars2x(): PAR (parabolic)
* - molset(), molx2s(), mols2x(): MOL (Mollweide)
* - aitset(), aitx2s(), aits2x(): AIT (Hammer-Aitoff)
* - copset(), copx2s(), cops2x(): COP (conic perspective)
* - coeset(), coex2s(), coes2x(): COE (conic equal area)
* - codset(), codx2s(), cods2x(): COD (conic equidistant)
* - cooset(), coox2s(), coos2x(): COO (conic orthomorphic)
* - bonset(), bonx2s(), bons2x(): BON (Bonne)
* - pcoset(), pcox2s(), pcos2x(): PCO (polyconic)
* - tscset(), tscx2s(), tscs2x(): TSC (tangential spherical cube)
* - cscset(), cscx2s(), cscs2x(): CSC (COBE spherical cube)
* - qscset(), qscx2s(), qscs2x(): QSC (quadrilateralized spherical cube)
* - hpxset(), hpxx2s(), hpxs2x(): HPX (HEALPix)
*
* Argument checking (projection routines):
* ----------------------------------------
* The values of phi and theta (the native longitude and latitude) normally lie
* in the range [-180,180] for phi, and [-90,90] for theta. However, all
* projection routines will accept any value of phi and will not normalize it.
*
* The projection routines do not explicitly check that theta lies within the
* range [-90,90]. They do check for any value of theta that produces an
* invalid argument to the projection equations (e.g. leading to division by
* zero). The projection routines for AZP, SZP, TAN, SIN, ZPN, and COP also
* return error 2 if (phi,theta) corresponds to the overlapped (far) side of
* the projection but also return the corresponding value of (x,y). This
* strict bounds checking may be relaxed at any time by setting prjprm::bounds
* to 0 (rather than 1); the projections need not be reinitialized.
*
* Argument checking (deprojection routines):
* ------------------------------------------
* Error checking on the projected coordinates (x,y) is limited to that
* required to ascertain whether a solution exists. Where a solution does
* exist no check is made that the value of phi and theta obtained lie within
* the ranges [-180,180] for phi, and [-90,90] for theta.
*
* Accuracy:
* ---------
* No warranty is given for the accuracy of these routines (refer to the
* copyright notice); intending users must satisfy for themselves their
* adequacy for the intended purpose. However, closure to a precision of at
* least 1E-10 degree of longitude and latitude has been verified for typical
* projection parameters on the 1 degree graticule of native longitude and
* latitude (to within 5 degrees of any latitude where the projection may
* diverge). Refer to the tprj1.c and tprj2.c test routines that accompany
* this software.
*
*
* prjini() - Default constructor for the prjprm struct
* ----------------------------------------------------
* prjini() sets all members of a prjprm struct to default values. It should
* be used to initialize every prjprm struct.
*
* Returned:
* prj struct prjprm*
* Projection parameters.
*
* Function return value:
* int Status return value:
* 0: Success.
* 1: Null prjprm pointer passed.
*
*
* prjfree() - Destructor for the prjprm struct
* --------------------------------------------
* prjfree() frees any memory that may have been allocated to store an error
* message in the prjprm struct.
*
* Given:
* prj struct prjprm*
* Projection parameters.
*
* Function return value:
* int Status return value:
* 0: Success.
* 1: Null prjprm pointer passed.
*
*
* prjprt() - Print routine for the prjprm struct
* ----------------------------------------------
* prjprt() prints the contents of a prjprm struct using wcsprintf(). Mainly
* intended for diagnostic purposes.
*
* Given:
* prj const struct prjprm*
* Projection parameters.
*
* Function return value:
* int Status return value:
* 0: Success.
* 1: Null prjprm pointer passed.
*
*
* prjset() - Generic setup routine for the prjprm struct
* ------------------------------------------------------
* prjset() sets up a prjprm struct according to information supplied within
* it.
*
* Note that this routine need not be called directly; it will be invoked by
* prjx2s() and prjs2x() if prj.flag is anything other than a predefined magic
* value.
*
* The one important distinction between prjset() and the setup routines for
* the specific projections is that the projection code must be defined in the
* prjprm struct in order for prjset() to identify the required projection.
* Once prjset() has initialized the prjprm struct, prjx2s() and prjs2x() use
* the pointers to the specific projection and deprojection routines contained
* therein.
*
* Given and returned:
* prj struct prjprm*
* Projection parameters.
*
* Function return value:
* int Status return value:
* 0: Success.
* 1: Null prjprm pointer passed.
* 2: Invalid projection parameters.
*
* For returns > 1, a detailed error message is set in
* prjprm::err if enabled, see wcserr_enable().
*
*
* prjx2s() - Generic Cartesian-to-spherical deprojection
* ------------------------------------------------------
* Deproject Cartesian (x,y) coordinates in the plane of projection to native
* spherical coordinates (phi,theta).
*
* The projection is that specified by prjprm::code.
*
* Given and returned:
* prj struct prjprm*
* Projection parameters.
*
* Given:
* nx,ny int Vector lengths.
*
* sxy,spt int Vector strides.
*
* x,y const double[]
* Projected coordinates.
*
* Returned:
* phi,theta double[] Longitude and latitude (phi,theta) of the projected
* point in native spherical coordinates [deg].
*
* stat int[] Status return value for each vector element:
* 0: Success.
* 1: Invalid value of (x,y).
*
* Function return value:
* int Status return value:
* 0: Success.
* 1: Null prjprm pointer passed.
* 2: Invalid projection parameters.
* 3: One or more of the (x,y) coordinates were
* invalid, as indicated by the stat vector.
*
* For returns > 1, a detailed error message is set in
* prjprm::err if enabled, see wcserr_enable().
*
*
* prjs2x() - Generic spherical-to-Cartesian projection
* ----------------------------------------------------
* Project native spherical coordinates (phi,theta) to Cartesian (x,y)
* coordinates in the plane of projection.
*
* The projection is that specified by prjprm::code.
*
* Given and returned:
* prj struct prjprm*
* Projection parameters.
*
* Given:
* nphi,
* ntheta int Vector lengths.
*
* spt,sxy int Vector strides.
*
* phi,theta const double[]
* Longitude and latitude (phi,theta) of the projected
* point in native spherical coordinates [deg].
*
* Returned:
* x,y double[] Projected coordinates.
*
* stat int[] Status return value for each vector element:
* 0: Success.
* 1: Invalid value of (phi,theta).
*
* Function return value:
* int Status return value:
* 0: Success.
* 1: Null prjprm pointer passed.
* 2: Invalid projection parameters.
* 4: One or more of the (phi,theta) coordinates
* were, invalid, as indicated by the stat vector.
*
* For returns > 1, a detailed error message is set in
* prjprm::err if enabled, see wcserr_enable().
*
*
* ???set() - Specific setup routines for the prjprm struct
* --------------------------------------------------------
* Set up a prjprm struct for a particular projection according to information
* supplied within it.
*
* Given and returned:
* prj struct prjprm*
* Projection parameters.
*
* Function return value:
* int Status return value:
* 0: Success.
* 1: Null prjprm pointer passed.
* 2: Invalid projection parameters.
*
* For returns > 1, a detailed error message is set in
* prjprm::err if enabled, see wcserr_enable().
*
*
* ???x2s() - Specific Cartesian-to-spherical deprojection routines
* ----------------------------------------------------------------
* Transform (x,y) coordinates in the plane of projection to native spherical
* coordinates (phi,theta).
*
* Given and returned:
* prj struct prjprm*
* Projection parameters.
*
* Given:
* nx,ny int Vector lengths.
*
* sxy,spt int Vector strides.
*
* x,y const double[]
* Projected coordinates.
*
* Returned:
* phi,theta double[] Longitude and latitude of the projected point in
* native spherical coordinates [deg].
*
* stat int[] Status return value for each vector element:
* 0: Success.
* 1: Invalid value of (x,y).
*
* Function return value:
* int Status return value:
* 0: Success.
* 1: Null prjprm pointer passed.
* 2: Invalid projection parameters.
* 3: One or more of the (x,y) coordinates were
* invalid, as indicated by the stat vector.
*
* For returns > 1, a detailed error message is set in
* prjprm::err if enabled, see wcserr_enable().
*
*
* ???s2x() - Specific spherical-to-Cartesian projection routines
*---------------------------------------------------------------
* Transform native spherical coordinates (phi,theta) to (x,y) coordinates in
* the plane of projection.
*
* Given and returned:
* prj struct prjprm*
* Projection parameters.
*
* Given:
* nphi,
* ntheta int Vector lengths.
*
* spt,sxy int Vector strides.
*
* phi,theta const double[]
* Longitude and latitude of the projected point in
* native spherical coordinates [deg].
*
* Returned:
* x,y double[] Projected coordinates.
*
* stat int[] Status return value for each vector element:
* 0: Success.
* 1: Invalid value of (phi,theta).
*
* Function return value:
* int Status return value:
* 0: Success.
* 1: Null prjprm pointer passed.
* 2: Invalid projection parameters.
* 4: One or more of the (phi,theta) coordinates
* were, invalid, as indicated by the stat vector.
*
* For returns > 1, a detailed error message is set in
* prjprm::err if enabled, see wcserr_enable().
*
*
* prjprm struct - Projection parameters
* -------------------------------------
* The prjprm struct contains all information needed to project or deproject
* native spherical coordinates. It consists of certain members that must be
* set by the user ("given") and others that are set by the WCSLIB routines
* ("returned"). Some of the latter are supplied for informational purposes
* while others are for internal use only.
*
* int flag
* (Given and returned) This flag must be set to zero whenever any of the
* following prjprm struct members are set or changed:
*
* - prjprm::code,
* - prjprm::r0,
* - prjprm::pv[],
* - prjprm::phi0,
* - prjprm::theta0.
*
* This signals the initialization routine (prjset() or ???set()) to
* recompute the returned members of the prjprm struct. flag will then be
* reset to indicate that this has been done.
*
* Note that flag need not be reset when prjprm::bounds is changed.
*
* char code[4]
* (Given) Three-letter projection code defined by the FITS standard.
*
* double r0
* (Given) The radius of the generating sphere for the projection, a linear
* scaling parameter. If this is zero, it will be reset to its default
* value of 180/pi (the value for FITS WCS).
*
* double pv[30]
* (Given) Projection parameters. These correspond to the PVi_ma keywords
* in FITS, so pv[0] is PVi_0a, pv[1] is PVi_1a, etc., where i denotes the
* latitude-like axis. Many projections use pv[1] (PVi_1a), some also use
* pv[2] (PVi_2a) and SZP uses pv[3] (PVi_3a). ZPN is currently the only
* projection that uses any of the others.
*
* Usage of the pv[] array as it applies to each projection is described in
* the prologue to each trio of projection routines in prj.c.
*
* double phi0
* (Given) The native longitude, phi_0 [deg], and ...
* double theta0
* (Given) ... the native latitude, theta_0 [deg], of the reference point,
* i.e. the point (x,y) = (0,0). If undefined (set to a magic value by
* prjini()) the initialization routine will set this to a
* projection-specific default.
*
* int bounds
* (Given) Controls strict bounds checking for the AZP, SZP, TAN, SIN, ZPN,
* and COP projections; set to zero to disable checking.
*
* The remaining members of the prjprm struct are maintained by the setup
* routines and must not be modified elsewhere:
*
* char name[40]
* (Returned) Long name of the projection.
*
* Provided for information only, not used by the projection routines.
*
* int category
* (Returned) Projection category matching the value of the relevant global
* variable:
*
* - ZENITHAL,
* - CYLINDRICAL,
* - PSEUDOCYLINDRICAL,
* - CONVENTIONAL,
* - CONIC,
* - POLYCONIC,
* - QUADCUBE, and
* - HEALPIX.
*
* The category name may be identified via the prj_categories character
* array, e.g.
*
= struct prjprm prj;
= ...
= printf("%s\n", prj_categories[prj.category]);
*
* Provided for information only, not used by the projection routines.
*
* int pvrange
* (Returned) Range of projection parameter indices: 100 times the first
* allowed index plus the number of parameters, e.g. TAN is 0 (no
* parameters), SZP is 103 (1 to 3), and ZPN is 30 (0 to 29).
*
* Provided for information only, not used by the projection routines.
*
* int simplezen
* (Returned) True if the projection is a radially-symmetric zenithal
* projection.
*
* Provided for information only, not used by the projection routines.
*
* int equiareal
* (Returned) True if the projection is equal area.
*
* Provided for information only, not used by the projection routines.
*
* int conformal
* (Returned) True if the projection is conformal.
*
* Provided for information only, not used by the projection routines.
*
* int global
* (Returned) True if the projection can represent the whole sphere in a
* finite, non-overlapped mapping.
*
* Provided for information only, not used by the projection routines.
*
* int divergent
* (Returned) True if the projection diverges in latitude.
*
* Provided for information only, not used by the projection routines.
*
* double x0
* (Returned) The offset in x, and ...
* double y0
* (Returned) ... the offset in y used to force (x,y) = (0,0) at
* (phi_0,theta_0).
*
* struct wcserr *err
* (Returned) If enabled, when an error status is returned this struct
* contains detailed information about the error, see wcserr_enable().
*
* void *padding
* (An unused variable inserted for alignment purposes only.)
*
* double w[10]
* (Returned) Intermediate floating-point values derived from the
* projection parameters, cached here to save recomputation.
*
* Usage of the w[] array as it applies to each projection is described in
* the prologue to each trio of projection routines in prj.c.
*
* int n
* (Returned) Intermediate integer value (used only for the ZPN and HPX
* projections).
*
* int (*prjx2s)(PRJX2S_ARGS)
* (Returned) Pointer to the projection ...
* int (*prjs2x)(PRJ_ARGS)
* (Returned) ... and deprojection routines.
*
*
* Global variable: const char *prj_errmsg[] - Status return messages
* ------------------------------------------------------------------
* Error messages to match the status value returned from each function.
*
*===========================================================================*/
#ifndef WCSLIB_PROJ
#define WCSLIB_PROJ
#include "wcserr.h"
#ifdef __cplusplus
extern "C" {
#endif
/* Total number of projection parameters; 0 to PVN-1. */
#define PVN 30
extern const char *prj_errmsg[];
enum prj_errmsg_enum {
PRJERR_SUCCESS = 0, /* Success. */
PRJERR_NULL_POINTER = 1, /* Null prjprm pointer passed. */
PRJERR_BAD_PARAM = 2, /* Invalid projection parameters. */
PRJERR_BAD_PIX = 3, /* One or more of the (x, y) coordinates were
invalid. */
PRJERR_BAD_WORLD = 4 /* One or more of the (phi, theta) coordinates
were invalid. */
};
extern const int CONIC, CONVENTIONAL, CYLINDRICAL, POLYCONIC,
PSEUDOCYLINDRICAL, QUADCUBE, ZENITHAL, HEALPIX;
extern const char prj_categories[9][32];
extern const int prj_ncode;
extern const char prj_codes[27][4];
#ifdef PRJX2S_ARGS
#undef PRJX2S_ARGS
#endif
#ifdef PRJS2X_ARGS
#undef PRJS2X_ARGS
#endif
/* For use in declaring deprojection function prototypes. */
#define PRJX2S_ARGS struct prjprm *prj, int nx, int ny, int sxy, int spt, \
const double x[], const double y[], double phi[], double theta[], int stat[]
/* For use in declaring projection function prototypes. */
#define PRJS2X_ARGS struct prjprm *prj, int nx, int ny, int sxy, int spt, \
const double phi[], const double theta[], double x[], double y[], int stat[]
struct prjprm {
/* Initialization flag (see the prologue above). */
/*------------------------------------------------------------------------*/
int flag; /* Set to zero to force initialization. */
/* Parameters to be provided (see the prologue above). */
/*------------------------------------------------------------------------*/
char code[4]; /* Three-letter projection code. */
double r0; /* Radius of the generating sphere. */
double pv[PVN]; /* Projection parameters. */
double phi0, theta0; /* Fiducial native coordinates. */
int bounds; /* Enable strict bounds checking. */
/* Information derived from the parameters supplied. */
/*------------------------------------------------------------------------*/
char name[40]; /* Projection name. */
int category; /* Projection category. */
int pvrange; /* Range of projection parameter indices. */
int simplezen; /* Is it a simple zenithal projection? */
int equiareal; /* Is it an equal area projection? */
int conformal; /* Is it a conformal projection? */
int global; /* Can it map the whole sphere? */
int divergent; /* Does the projection diverge in latitude? */
double x0, y0; /* Fiducial offsets. */
/* Error handling */
/*------------------------------------------------------------------------*/
struct wcserr *err;
/* Private */
/*------------------------------------------------------------------------*/
void *padding; /* (Dummy inserted for alignment purposes.) */
double w[10]; /* Intermediate values. */
int m, n; /* Intermediate values. */
int (*prjx2s)(PRJX2S_ARGS); /* Pointers to the spherical projection and */
int (*prjs2x)(PRJS2X_ARGS); /* deprojection functions. */
};
/* Size of the prjprm struct in int units, used by the Fortran wrappers. */
#define PRJLEN (sizeof(struct prjprm)/sizeof(int))
/* Use the preprocessor to help declare function prototypes (see above). */
int prjini(struct prjprm *prj);
int prjfree(struct prjprm *prj);
int prjprt(const struct prjprm *prj);
int prjset(struct prjprm *prj);
int prjx2s(PRJX2S_ARGS);
int prjs2x(PRJS2X_ARGS);
int azpset(struct prjprm *prj);
int azpx2s(PRJX2S_ARGS);
int azps2x(PRJS2X_ARGS);
int szpset(struct prjprm *prj);
int szpx2s(PRJX2S_ARGS);
int szps2x(PRJS2X_ARGS);
int tanset(struct prjprm *prj);
int tanx2s(PRJX2S_ARGS);
int tans2x(PRJS2X_ARGS);
int stgset(struct prjprm *prj);
int stgx2s(PRJX2S_ARGS);
int stgs2x(PRJS2X_ARGS);
int sinset(struct prjprm *prj);
int sinx2s(PRJX2S_ARGS);
int sins2x(PRJS2X_ARGS);
int arcset(struct prjprm *prj);
int arcx2s(PRJX2S_ARGS);
int arcs2x(PRJS2X_ARGS);
int zpnset(struct prjprm *prj);
int zpnx2s(PRJX2S_ARGS);
int zpns2x(PRJS2X_ARGS);
int zeaset(struct prjprm *prj);
int zeax2s(PRJX2S_ARGS);
int zeas2x(PRJS2X_ARGS);
int airset(struct prjprm *prj);
int airx2s(PRJX2S_ARGS);
int airs2x(PRJS2X_ARGS);
int cypset(struct prjprm *prj);
int cypx2s(PRJX2S_ARGS);
int cyps2x(PRJS2X_ARGS);
int ceaset(struct prjprm *prj);
int ceax2s(PRJX2S_ARGS);
int ceas2x(PRJS2X_ARGS);
int carset(struct prjprm *prj);
int carx2s(PRJX2S_ARGS);
int cars2x(PRJS2X_ARGS);
int merset(struct prjprm *prj);
int merx2s(PRJX2S_ARGS);
int mers2x(PRJS2X_ARGS);
int sflset(struct prjprm *prj);
int sflx2s(PRJX2S_ARGS);
int sfls2x(PRJS2X_ARGS);
int parset(struct prjprm *prj);
int parx2s(PRJX2S_ARGS);
int pars2x(PRJS2X_ARGS);
int molset(struct prjprm *prj);
int molx2s(PRJX2S_ARGS);
int mols2x(PRJS2X_ARGS);
int aitset(struct prjprm *prj);
int aitx2s(PRJX2S_ARGS);
int aits2x(PRJS2X_ARGS);
int copset(struct prjprm *prj);
int copx2s(PRJX2S_ARGS);
int cops2x(PRJS2X_ARGS);
int coeset(struct prjprm *prj);
int coex2s(PRJX2S_ARGS);
int coes2x(PRJS2X_ARGS);
int codset(struct prjprm *prj);
int codx2s(PRJX2S_ARGS);
int cods2x(PRJS2X_ARGS);
int cooset(struct prjprm *prj);
int coox2s(PRJX2S_ARGS);
int coos2x(PRJS2X_ARGS);
int bonset(struct prjprm *prj);
int bonx2s(PRJX2S_ARGS);
int bons2x(PRJS2X_ARGS);
int pcoset(struct prjprm *prj);
int pcox2s(PRJX2S_ARGS);
int pcos2x(PRJS2X_ARGS);
int tscset(struct prjprm *prj);
int tscx2s(PRJX2S_ARGS);
int tscs2x(PRJS2X_ARGS);
int cscset(struct prjprm *prj);
int cscx2s(PRJX2S_ARGS);
int cscs2x(PRJS2X_ARGS);
int qscset(struct prjprm *prj);
int qscx2s(PRJX2S_ARGS);
int qscs2x(PRJS2X_ARGS);
int hpxset(struct prjprm *prj);
int hpxx2s(PRJX2S_ARGS);
int hpxs2x(PRJS2X_ARGS);
/* Deprecated. */
#define prjini_errmsg prj_errmsg
#define prjprt_errmsg prj_errmsg
#define prjset_errmsg prj_errmsg
#define prjx2s_errmsg prj_errmsg
#define prjs2x_errmsg prj_errmsg
#ifdef __cplusplus
}
#endif
#endif /* WCSLIB_PROJ */
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