update ast

1 files changed, 0 insertions, 2052 deletions

diff --git a/ast/sphmap.c b/ast/sphmap.c
deleted file mode 100644
index b73cf7a..0000000
--- a/ast/sphmap.c
+++ /dev/null
@@ -1,2052 +0,0 @@
-/*
-*class++
-*  Name:
-*     SphMap
-
-*  Purpose:
-*     Map 3-d Cartesian to 2-d spherical coordinates
-
-*  Constructor Function:
-c     astSphMap
-f     AST_SPHMAP
-
-*  Description:
-*     A SphMap is a Mapping which transforms points from a
-*     3-dimensional Cartesian coordinate system into a 2-dimensional
-*     spherical coordinate system (longitude and latitude on a unit
-*     sphere centred at the origin). It works by regarding the input
-*     coordinates as position vectors and finding their intersection
-*     with the sphere surface. The inverse transformation always
-*     produces points which are a unit distance from the origin
-*     (i.e. unit vectors).
-
-*  Inheritance:
-*     The SphMap class inherits from the Mapping class.
-
-*  Attributes:
-*     In addition to those attributes common to all Mappings, every
-*     SphMap also has the following attributes:
-*
-*     - UnitRadius: SphMap input vectors lie on a unit sphere?
-*     - PolarLong: The longitude value to assign to either pole
-
-*  Functions:
-c     The SphMap class does not define any new functions beyond those
-f     The SphMap class does not define any new routines beyond those
-*     which are applicable to all Mappings.
-
-*  Copyright:
-*     Copyright (C) 1997-2006 Council for the Central Laboratory of the
-*     Research Councils
-
-*  Licence:
-*     This program 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.
-*
-*     This program 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
-*     License along with this program.  If not, see
-*     <http://www.gnu.org/licenses/>.
-
-*  Authors:
-*     DSB: David Berry (Starlink)
-*     RFWS: R.F. Warren-Smith (Starlink)
-
-*  History:
-*     24-OCT-1996 (DSB):
-*        Original version.
-*     5-MAR-1997 (RFWS):
-*        Tidied public prologues.
-*     24-MAR-1998 (RFWS):
-*        Override the astMapMerge method.
-*     4-SEP-1998 (DSB):
-*        Added UnitRadius attribute.
-*     8-JAN-2003 (DSB):
-*        Changed private InitVtab method to protected astInitSphMapVtab
-*        method.
-*     11-JUN-2003 (DSB):
-*        Added PolarLong attribute.
-*     10-MAY-2006 (DSB):
-*        Override astEqual.
-*     5-NOV-2013 (DSB):
-*        Modify MapMerge so that it can spot and simplify an
-*        (inverted SphMap,MatrixMap,SphMap) sequence in which the
-*        MatrixMap just magnifies or reflects the radius vector.
-*     25-MAR-2014 (DSB):
-*        Correct 5-NOV-2013 MapMerge change.
-*class--
-*/
-
-/* Module Macros. */
-/* ============== */
-/* Set the name of the class we are implementing. This indicates to
-   the header files that define class interfaces that they should make
-   "protected" symbols available. */
-#define astCLASS SphMap
-
-/* Include files. */
-/* ============== */
-/* Interface definitions. */
-/* ---------------------- */
-
-#include "globals.h"             /* Thread-safe global data access */
-#include "error.h"               /* Error reporting facilities */
-#include "memory.h"              /* Memory management facilities */
-#include "globals.h"             /* Thread-safe global data access */
-#include "object.h"              /* Base Object class */
-#include "pointset.h"            /* Sets of points/coordinates */
-#include "mapping.h"             /* Coordinate mappings (parent class) */
-#include "channel.h"             /* I/O channels */
-#include "unitmap.h"             /* Unit (identity) Mappings */
-#include "sphmap.h"              /* Interface definition for this class */
-#include "pal.h"                 /* SLA transformations */
-#include "wcsmap.h"              /* For the AST__DPIBY2 (etc) constants */
-#include "matrixmap.h"           /* Matrix mappings */
-#include "winmap.h"              /* Shift and scale mappings */
-#include "zoommap.h"             /* Scale mappings */
-
-/* Error code definitions. */
-/* ----------------------- */
-#include "ast_err.h"             /* AST error codes */
-
-/* C header files. */
-/* --------------- */
-#include <float.h>
-#include <stdarg.h>
-#include <stddef.h>
-#include <stdio.h>
-#include <string.h>
-
-/* Module Variables. */
-/* ================= */
-
-/* Address of this static variable is used as a unique identifier for
-   member of this class. */
-static int class_check;
-
-/* Pointers to parent class methods which are extended by this class. */
-static AstPointSet *(* parent_transform)( AstMapping *, AstPointSet *, int, AstPointSet *, int * );
-static const char *(* parent_getattrib)( AstObject *, const char *, int * );
-static int (* parent_testattrib)( AstObject *, const char *, int * );
-static void (* parent_clearattrib)( AstObject *, const char *, int * );
-static void (* parent_setattrib)( AstObject *, const char *, int * );
-
-/* Define macros for accessing each item of thread specific global data. */
-#ifdef THREAD_SAFE
-
-/* Define how to initialise thread-specific globals. */
-#define GLOBAL_inits \
-   globals->Class_Init = 0; \
-   globals->GetAttrib_Buff[ 0 ] = 0;
-
-/* Create the function that initialises global data for this module. */
-astMAKE_INITGLOBALS(SphMap)
-
-/* Define macros for accessing each item of thread specific global data. */
-#define class_init astGLOBAL(SphMap,Class_Init)
-#define class_vtab astGLOBAL(SphMap,Class_Vtab)
-#define getattrib_buff astGLOBAL(SphMap,GetAttrib_Buff)
-
-
-
-/* If thread safety is not needed, declare and initialise globals at static
-   variables. */
-#else
-
-static char getattrib_buff[ 101 ];
-
-
-/* Define the class virtual function table and its initialisation flag
-   as static variables. */
-static AstSphMapVtab class_vtab;   /* Virtual function table */
-static int class_init = 0;       /* Virtual function table initialised? */
-
-#endif
-
-/* External Interface Function Prototypes. */
-/* ======================================= */
-/* The following functions have public prototypes only (i.e. no
-   protected prototypes), so we must provide local prototypes for use
-   within this module. */
-AstSphMap *astSphMapId_( const char *, ...);
-
-/* Prototypes for Private Member Functions. */
-/* ======================================== */
-static int GetUnitRadius( AstSphMap *, int * );
-static int TestUnitRadius( AstSphMap *, int * );
-static void ClearUnitRadius( AstSphMap *, int * );
-static void SetUnitRadius( AstSphMap *, int, int * );
-
-static double GetPolarLong( AstSphMap *, int * );
-static int TestPolarLong( AstSphMap *, int * );
-static void ClearPolarLong( AstSphMap *, int * );
-static void SetPolarLong( AstSphMap *, double, int * );
-
-static AstPointSet *Transform( AstMapping *, AstPointSet *, int, AstPointSet *, int * );
-static const char *GetAttrib( AstObject *, const char *, int * );
-static int Equal( AstObject *, AstObject *, int * );
-static int MapMerge( AstMapping *, int, int, int *, AstMapping ***, int **, int * );
-static int TestAttrib( AstObject *, const char *, int * );
-static void ClearAttrib( AstObject *, const char *, int * );
-static void Copy( const AstObject *, AstObject *, int * );
-static void Delete( AstObject *, int * );
-static void Dump( AstObject *, AstChannel *, int * );
-static void SetAttrib( AstObject *, const char *, int * );
-
-/* Member functions. */
-/* ================= */
-static void ClearAttrib( AstObject *this_object, const char *attrib, int *status ) {
-/*
-*  Name:
-*     ClearAttrib
-
-*  Purpose:
-*     Clear an attribute value for a SphMap.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "sphmap.h"
-*     void ClearAttrib( AstObject *this, const char *attrib, int *status, int *status )
-
-*  Class Membership:
-*     SphMap member function (over-rides the astClearAttrib protected
-*     method inherited from the Mapping class).
-
-*  Description:
-*     This function clears the value of a specified attribute for a
-*     SphMap, so that the default value will subsequently be used.
-
-*  Parameters:
-*     this
-*        Pointer to the SphMap.
-*     attrib
-*        Pointer to a null-terminated string specifying the attribute
-*        name.  This should be in lower case with no surrounding white
-*        space.
-*     status
-*        Pointer to the inherited status variable.
-*     status
-*        Pointer to the inherited status variable.
-*/
-
-/* Local Variables: */
-   AstSphMap *this;             /* Pointer to the SphMap structure */
-
-/* Check the global error status. */
-   if ( !astOK ) return;
-
-/* Obtain a pointer to the SphMap structure. */
-   this = (AstSphMap *) this_object;
-
-/* UnitRadius */
-/* ---------- */
-   if ( !strcmp( attrib, "unitradius" ) ) {
-      astClearUnitRadius( this );
-
-/* PolarLong */
-/* --------- */
-   } else if ( !strcmp( attrib, "polarlong" ) ) {
-      astClearPolarLong( this );
-
-/* If the attribute is still not recognised, pass it on to the parent
-   method for further interpretation. */
-   } else {
-      (*parent_clearattrib)( this_object, attrib, status );
-   }
-}
-
-static int Equal( AstObject *this_object, AstObject *that_object, int *status ) {
-/*
-*  Name:
-*     Equal
-
-*  Purpose:
-*     Test if two SphMaps are equivalent.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "sphmap.h"
-*     int Equal( AstObject *this, AstObject *that, int *status, int *status )
-
-*  Class Membership:
-*     SphMap member function (over-rides the astEqual protected
-*     method inherited from the astMapping class).
-
-*  Description:
-*     This function returns a boolean result (0 or 1) to indicate whether
-*     two SphMaps are equivalent.
-
-*  Parameters:
-*     this
-*        Pointer to the first Object (a SphMap).
-*     that
-*        Pointer to the second Object.
-*     status
-*        Pointer to the inherited status variable.
-*     status
-*        Pointer to the inherited status variable.
-
-*  Returned Value:
-*     One if the SphMaps are equivalent, zero otherwise.
-
-*  Notes:
-*     - A value of zero will be returned if this function is invoked
-*     with the global status set, or if it should fail for any reason.
-*/
-
-/* Local Variables: */
-   AstSphMap *that;
-   AstSphMap *this;
-   int nin;
-   int nout;
-   int result;
-
-/* Initialise. */
-   result = 0;
-
-/* Check the global error status. */
-   if ( !astOK ) return result;
-
-/* Obtain pointers to the two SphMap structures. */
-   this = (AstSphMap *) this_object;
-   that = (AstSphMap *) that_object;
-
-/* Check the second object is a SphMap. We know the first is a
-   SphMap since we have arrived at this implementation of the virtual
-   function. */
-   if( astIsASphMap( that ) ) {
-
-/* Get the number of inputs and outputs and check they are the same for both. */
-      nin = astGetNin( this );
-      nout = astGetNout( this );
-      if( astGetNin( that ) == nin && astGetNout( that ) == nout ) {
-
-/* If the Invert flags for the two SphMaps differ, it may still be possible
-   for them to be equivalent. First compare the SphMaps if their Invert
-   flags are the same. In this case all the attributes of the two SphMaps
-   must be identical. */
-         if( astGetInvert( this ) == astGetInvert( that ) ) {
-
-            if( astEQUAL( this->polarlong, that->polarlong ) &&
-                          this->unitradius == that->unitradius ){
-               result = 1;
-            }
-
-/* If the Invert flags for the two SphMaps differ, the attributes of the two
-   SphMaps must be inversely related to each other. */
-         } else {
-
-/* In the specific case of a SphMap, Invert flags must be equal. */
-            result = 0;
-
-         }
-      }
-   }
-
-/* If an error occurred, clear the result value. */
-   if ( !astOK ) result = 0;
-
-/* Return the result, */
-   return result;
-}
-
-static const char *GetAttrib( AstObject *this_object, const char *attrib, int *status ) {
-/*
-*  Name:
-*     GetAttrib
-
-*  Purpose:
-*     Get the value of a specified attribute for a SphMap.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "sphmap.h"
-*     const char *GetAttrib( AstObject *this, const char *attrib, int *status, int *status )
-
-*  Class Membership:
-*     SphMap member function (over-rides the protected astGetAttrib
-*     method inherited from the Mapping class).
-
-*  Description:
-*     This function returns a pointer to the value of a specified
-*     attribute for a SphMap, formatted as a character string.
-
-*  Parameters:
-*     this
-*        Pointer to the SphMap.
-*     attrib
-*        Pointer to a null-terminated string containing the name of
-*        the attribute whose value is required. This name should be in
-*        lower case, with all white space removed.
-*     status
-*        Pointer to the inherited status variable.
-*     status
-*        Pointer to the inherited status variable.
-
-*  Returned Value:
-*     - Pointer to a null-terminated string containing the attribute
-*     value.
-
-*  Notes:
-*     - The returned string pointer may point at memory allocated
-*     within the SphMap, or at static memory. The contents of the
-*     string may be over-written or the pointer may become invalid
-*     following a further invocation of the same function or any
-*     modification of the SphMap. A copy of the string should
-*     therefore be made if necessary.
-*     - A NULL pointer will be returned if this function is invoked
-*     with the global error status set, or if it should fail for any
-*     reason.
-*/
-
-/* Local Variables: */
-   astDECLARE_GLOBALS           /* Pointer to thread-specific global data */
-   AstSphMap *this;              /* Pointer to the SphMap structure */
-   const char *result;           /* Pointer value to return */
-   double dval;                  /* Double precision attribute value */
-   int ival;                     /* Int attribute value */
-
-/* Initialise. */
-   result = NULL;
-
-/* Check the global error status. */
-   if ( !astOK ) return result;
-
-/* Get a pointer to the thread specific global data structure. */
-   astGET_GLOBALS(this_object);
-
-/* Obtain a pointer to the SphMap structure. */
-   this = (AstSphMap *) this_object;
-
-/* UnitRadius. */
-/* ----------- */
-   if ( !strcmp( attrib, "unitradius" ) ) {
-      ival = astGetUnitRadius( this );
-      if ( astOK ) {
-         (void) sprintf( getattrib_buff, "%d", ival );
-         result = getattrib_buff;
-      }
-
-/* PolarLong */
-/* --------- */
-   } else if ( !strcmp( attrib, "polarlong" ) ) {
-      dval = astGetPolarLong( this );
-      if ( astOK ) {
-         (void) sprintf( getattrib_buff, "%.*g", DBL_DIG, dval );
-         result = getattrib_buff;
-      }
-
-/* If the attribute name was not recognised, pass it on to the parent
-   method for further interpretation. */
-   } else {
-      result = (*parent_getattrib)( this_object, attrib, status );
-   }
-
-/* Return the result. */
-   return result;
-}
-
-void astInitSphMapVtab_(  AstSphMapVtab *vtab, const char *name, int *status ) {
-/*
-*+
-*  Name:
-*     astInitSphMapVtab
-
-*  Purpose:
-*     Initialise a virtual function table for a SphMap.
-
-*  Type:
-*     Protected function.
-
-*  Synopsis:
-*     #include "sphmap.h"
-*     void astInitSphMapVtab( AstSphMapVtab *vtab, const char *name )
-
-*  Class Membership:
-*     SphMap vtab initialiser.
-
-*  Description:
-*     This function initialises the component of a virtual function
-*     table which is used by the SphMap class.
-
-*  Parameters:
-*     vtab
-*        Pointer to the virtual function table. The components used by
-*        all ancestral classes will be initialised if they have not already
-*        been initialised.
-*     name
-*        Pointer to a constant null-terminated character string which contains
-*        the name of the class to which the virtual function table belongs (it
-*        is this pointer value that will subsequently be returned by the Object
-*        astClass function).
-*-
-*/
-
-/* Local Variables: */
-   astDECLARE_GLOBALS            /* Pointer to thread-specific global data */
-   AstObjectVtab *object;        /* Pointer to Object component of Vtab */
-   AstMappingVtab *mapping;      /* Pointer to Mapping component of Vtab */
-
-/* Check the local error status. */
-   if ( !astOK ) return;
-
-/* Get a pointer to the thread specific global data structure. */
-   astGET_GLOBALS(NULL);
-
-/* Initialize the component of the virtual function table used by the
-   parent class. */
-   astInitMappingVtab( (AstMappingVtab *) vtab, name );
-
-/* Store a unique "magic" value in the virtual function table. This
-   will be used (by astIsASphMap) to determine if an object belongs
-   to this class.  We can conveniently use the address of the (static)
-   class_check variable to generate this unique value. */
-   vtab->id.check = &class_check;
-   vtab->id.parent = &(((AstMappingVtab *) vtab)->id);
-
-/* Initialise member function pointers. */
-/* ------------------------------------ */
-/* Store pointers to the member functions (implemented here) that provide
-   virtual methods for this class. */
-   vtab->ClearUnitRadius = ClearUnitRadius;
-   vtab->SetUnitRadius = SetUnitRadius;
-   vtab->GetUnitRadius = GetUnitRadius;
-   vtab->TestUnitRadius = TestUnitRadius;
-
-   vtab->ClearPolarLong = ClearPolarLong;
-   vtab->SetPolarLong = SetPolarLong;
-   vtab->GetPolarLong = GetPolarLong;
-   vtab->TestPolarLong = TestPolarLong;
-
-/* Save the inherited pointers to methods that will be extended, and
-   replace them with pointers to the new member functions. */
-   object = (AstObjectVtab *) vtab;
-   mapping = (AstMappingVtab *) vtab;
-
-   parent_clearattrib = object->ClearAttrib;
-   object->ClearAttrib = ClearAttrib;
-   parent_getattrib = object->GetAttrib;
-   object->GetAttrib = GetAttrib;
-   parent_setattrib = object->SetAttrib;
-   object->SetAttrib = SetAttrib;
-   parent_testattrib = object->TestAttrib;
-   object->TestAttrib = TestAttrib;
-
-   parent_transform = mapping->Transform;
-   mapping->Transform = Transform;
-
-/* Store replacement pointers for methods which will be over-ridden by
-   new member functions implemented here. */
-   object->Equal = Equal;
-   mapping->MapMerge = MapMerge;
-
-/* Declare the class dump, copy and delete functions.*/
-   astSetDump( vtab, Dump, "SphMap", "Cartesian to Spherical mapping" );
-   astSetCopy( (AstObjectVtab *) vtab, Copy );
-   astSetDelete( (AstObjectVtab *) vtab, Delete );
-
-/* If we have just initialised the vtab for the current class, indicate
-   that the vtab is now initialised, and store a pointer to the class
-   identifier in the base "object" level of the vtab. */
-   if( vtab == &class_vtab ) {
-      class_init = 1;
-      astSetVtabClassIdentifier( vtab, &(vtab->id) );
-   }
-}
-
-static int MapMerge( AstMapping *this, int where, int series, int *nmap,
-                     AstMapping ***map_list, int **invert_list, int *status ) {
-/*
-*  Name:
-*     MapMerge
-
-*  Purpose:
-*     Simplify a sequence of Mappings containing a SphMap.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "sphmap.h"
-*     int MapMerge( AstMapping *this, int where, int series, int *nmap,
-*                   AstMapping ***map_list, int **invert_list, int *status, int *status )
-
-*  Class Membership:
-*     SphMap method (over-rides the protected astMapMerge method
-*     inherited from the Mapping class).
-
-*  Description:
-*     This function attempts to simplify a sequence of Mappings by
-*     merging a nominated SphMap in the sequence with its neighbours,
-*     so as to shorten the sequence if possible.
-*
-*     In many cases, simplification will not be possible and the
-*     function will return -1 to indicate this, without further
-*     action.
-*
-*     In most cases of interest, however, this function will either
-*     attempt to replace the nominated SphMap with one which it
-*     considers simpler, or to merge it with the Mappings which
-*     immediately precede it or follow it in the sequence (both will
-*     normally be considered). This is sufficient to ensure the
-*     eventual simplification of most Mapping sequences by repeated
-*     application of this function.
-*
-*     In some cases, the function may attempt more elaborate
-*     simplification, involving any number of other Mappings in the
-*     sequence. It is not restricted in the type or scope of
-*     simplification it may perform, but will normally only attempt
-*     elaborate simplification in cases where a more straightforward
-*     approach is not adequate.
-
-*  Parameters:
-*     this
-*        Pointer to the nominated SphMap which is to be merged with
-*        its neighbours. This should be a cloned copy of the SphMap
-*        pointer contained in the array element "(*map_list)[where]"
-*        (see below). This pointer will not be annulled, and the
-*        SphMap it identifies will not be modified by this function.
-*     where
-*        Index in the "*map_list" array (below) at which the pointer
-*        to the nominated SphMap resides.
-*     series
-*        A non-zero value indicates that the sequence of Mappings to
-*        be simplified will be applied in series (i.e. one after the
-*        other), whereas a zero value indicates that they will be
-*        applied in parallel (i.e. on successive sub-sets of the
-*        input/output coordinates).
-*     nmap
-*        Address of an int which counts the number of Mappings in the
-*        sequence. On entry this should be set to the initial number
-*        of Mappings. On exit it will be updated to record the number
-*        of Mappings remaining after simplification.
-*     map_list
-*        Address of a pointer to a dynamically allocated array of
-*        Mapping pointers (produced, for example, by the astMapList
-*        method) which identifies the sequence of Mappings. On entry,
-*        the initial sequence of Mappings to be simplified should be
-*        supplied.
-*
-*        On exit, the contents of this array will be modified to
-*        reflect any simplification carried out. Any form of
-*        simplification may be performed. This may involve any of: (a)
-*        removing Mappings by annulling any of the pointers supplied,
-*        (b) replacing them with pointers to new Mappings, (c)
-*        inserting additional Mappings and (d) changing their order.
-*
-*        The intention is to reduce the number of Mappings in the
-*        sequence, if possible, and any reduction will be reflected in
-*        the value of "*nmap" returned. However, simplifications which
-*        do not reduce the length of the sequence (but improve its
-*        execution time, for example) may also be performed, and the
-*        sequence might conceivably increase in length (but normally
-*        only in order to split up a Mapping into pieces that can be
-*        more easily merged with their neighbours on subsequent
-*        invocations of this function).
-*
-*        If Mappings are removed from the sequence, any gaps that
-*        remain will be closed up, by moving subsequent Mapping
-*        pointers along in the array, so that vacated elements occur
-*        at the end. If the sequence increases in length, the array
-*        will be extended (and its pointer updated) if necessary to
-*        accommodate any new elements.
-*
-*        Note that any (or all) of the Mapping pointers supplied in
-*        this array may be annulled by this function, but the Mappings
-*        to which they refer are not modified in any way (although
-*        they may, of course, be deleted if the annulled pointer is
-*        the final one).
-*     invert_list
-*        Address of a pointer to a dynamically allocated array which,
-*        on entry, should contain values to be assigned to the Invert
-*        attributes of the Mappings identified in the "*map_list"
-*        array before they are applied (this array might have been
-*        produced, for example, by the astMapList method). These
-*        values will be used by this function instead of the actual
-*        Invert attributes of the Mappings supplied, which are
-*        ignored.
-*
-*        On exit, the contents of this array will be updated to
-*        correspond with the possibly modified contents of the
-*        "*map_list" array.  If the Mapping sequence increases in
-*        length, the "*invert_list" array will be extended (and its
-*        pointer updated) if necessary to accommodate any new
-*        elements.
-*     status
-*        Pointer to the inherited status variable.
-*     status
-*        Pointer to the inherited status variable.
-
-*  Returned Value:
-*     If simplification was possible, the function returns the index
-*     in the "map_list" array of the first element which was
-*     modified. Otherwise, it returns -1 (and makes no changes to the
-*     arrays supplied).
-
-*  Notes:
-*     - A value of -1 will be returned if this function is invoked
-*     with the global error status set, or if it should fail for any
-*     reason.
-*/
-
-/* Local Variables: */
-   AstMapping *new;              /* Pointer to replacement Mapping */
-   AstMatrixMap *mm;             /* Pointer to MatrixMap */
-   AstWinMap *wm;                /* The new WinMap */
-   const char *class;            /* Pointer to Mapping class string */
-   double absval;                /* Absolute value fo each diagonal element */
-   double diag[ 3 ];             /* The diagonal matrix elements */
-   double polarlong;             /* Value of PolarLong attribute */
-   int imap1;                    /* Index of first SphMap */
-   int imap2;                    /* Index of second SphMap */
-   int imap;                     /* Loop counter for Mappings */
-   int result;                   /* Result value to return */
-   int simpler;                  /* Mappings simplified? */
-
-/* Initialise the returned result. */
-   result = -1;
-
-/* Check the global error status. */
-   if ( !astOK ) return result;
-
-/* Further initialisation. */
-   new = NULL;
-   simpler = 0;
-
-/* We will only handle the case of SphMaps in series and will consider
-   merging the nominated SphMap with the Mapping which follows
-   it. Check that there is such a Mapping. */
-   if ( series && ( ( where + 1 ) < *nmap ) ) {
-
-/* Obtain the indices of the two potential SphMaps to be merged. */
-      imap1 = where;
-      imap2 = where + 1;
-
-/* Obtain the Class string of the second Mapping and determine if it
-   is a SphMap. */
-      class = astGetClass( ( *map_list )[ imap2 ] );
-      if ( astOK && !strcmp( class, "SphMap" ) ) {
-
-/* Check if the first SphMap is applied in the inverse direction and
-   the second in the forward direction. This combination can be
-   simplified if the PolarLongitude attributes are equal.. */
-         if( ( *invert_list )[ imap1 ] && !( *invert_list )[ imap2 ] ) {
-            simpler = astEQUAL( astGetPolarLong( ( *map_list )[ imap1 ] ),
-                                astGetPolarLong( ( *map_list )[ imap2 ] ) );
-
-/* If the first SphMap is applied in the forward direction and the second in
-   the inverse direction, the combination can only be simplified if the
-   input vectors to the first SphMap all have unit length (as indicated by
-   the UnitRadius attribute). */
-         } else if( !( *invert_list )[ imap1 ] && ( *invert_list )[ imap2 ] ) {
-            simpler = astGetUnitRadius( ( *map_list )[ imap1 ] );
-         }
-      }
-
-/* If the two SphMaps can be simplified, create a UnitMap to replace
-   them. */
-      if ( simpler ) {
-         new = (AstMapping *) astUnitMap( 2, "", status );
-
-/* Annul the pointers to the SphMaps. */
-         if ( astOK ) {
-            ( *map_list )[ imap1 ] = astAnnul( ( *map_list )[ imap1 ] );
-            ( *map_list )[ imap2 ] = astAnnul( ( *map_list )[ imap2 ] );
-
-/* Insert the pointer to the replacement Mapping and initialise its
-   invert flag. */
-            ( *map_list )[ imap1 ] = new;
-            ( *invert_list )[ imap1 ] = 0;
-
-/* Loop to close the resulting gap by moving subsequent elements down
-   in the arrays. */
-            for ( imap = imap2 + 1; imap < *nmap; imap++ ) {
-               ( *map_list )[ imap - 1 ] = ( *map_list )[ imap ];
-               ( *invert_list )[ imap - 1 ] = ( *invert_list )[ imap ];
-            }
-
-/* Clear the vacated elements at the end. */
-            ( *map_list )[ *nmap - 1 ] = NULL;
-            ( *invert_list )[ *nmap - 1 ] = 0;
-
-/* Decrement the Mapping count and return the index of the first
-   modified element. */
-            ( *nmap )--;
-            result = imap1;
-         }
-      }
-   }
-
-/* Another possible simplification is if the nominated Mapping is an inverted
-   SphMap followed in series by a ZoomMap or diagonal MatrixMap that has
-   diagonal elements of equal magnitude, which is then followed by a
-   non-inverted SphMap. This is equivalent to a 3D rotation of a pair of
-   (longitude,latitude) angles. The MatrixMap/ZoomMap may magnify the
-   radius vector, but this will not alter the angles. Any difference in
-   signs amongst the diagonal elements will cause a reflection or reversal
-   of the corresponbding angles, which can be represented by a WinMap. We
-   do not need to consider the other possibility (that the nominated
-   SphMap is the *last* Mapping in such a sequence of three), since we
-   will already have discovered such a sequence on an earlier invocation
-   of this function. */
-   if( series && !simpler && ( *invert_list )[ where ] &&
-       where + 2 < *nmap  ) {
-
-/* Check the third Mapping is a non-inverted SphMap. */
-      class = astGetClass( ( *map_list )[ where + 2 ] );
-      if( astOK && !strcmp( class, "SphMap" ) &&
-          !( *invert_list )[ where + 2 ] ) {
-
-/* Check the second Mapping is a ZoomMap, or a diagonal MatrixMap that
-   has diagonal elements of equal magnitude. Since the Mapping is
-   sandwiched between the two SphMaps, we know it must have 3 inputs and
-   3 outputs. Record the corresponding diagonal values. The state of the
-   Invert flag does not matter since it will only affect the degree to
-   which the radius vector is magnified - it will not change the signs of
-   any diagonal elements. */
-         class = astGetClass( ( *map_list )[ where + 1 ] );
-         if( astOK && !strcmp( class, "ZoomMap" ) ) {
-            diag[ 0 ] = astGetZoom( ( *map_list )[ where + 1 ] );
-            if( diag[ 0 ] != 0.0 ) {
-               diag[ 1 ] = diag[ 0 ];
-               diag[ 2 ] = diag[ 0 ];
-            } else {
-               class = NULL;
-            }
-
-         } else if( astOK && !strcmp( class, "MatrixMap" ) ) {
-            mm = (AstMatrixMap *)  ( *map_list )[ where + 1 ];
-            if( mm->form == 1 && mm->f_matrix ) {
-               diag[ 0 ] = mm->f_matrix[ 0 ];
-               if( diag[ 0 ] != 0.0 ) {
-                  diag[ 1 ] = mm->f_matrix[ 1 ];
-                  diag[ 2 ] = mm->f_matrix[ 2 ];
-
-                  absval = fabs( diag[ 0 ] );
-                  if( !astEQUAL( fabs( diag[ 1 ] ), absval ) ||
-                      !astEQUAL( fabs( diag[ 2 ] ), absval ) ) {
-                     class = NULL;
-                  }
-
-               } else {
-                  class = NULL;
-               }
-
-            } else {
-               class = NULL;
-            }
-
-         } else {
-            class = NULL;
-         }
-
-      } else {
-         class = NULL;
-      }
-
-/* We can only make changes if above conditions were met. */
-      if( class ) {
-
-/* Create a WinMap that modifies the (longitude,latitude) values, initially
-   with undefined corners. */
-         wm = astWinMap( 2, NULL, NULL, NULL, NULL, "", status );
-
-/* Store appropriate scales and offsets in the WinMap. These just depend on
-   the signs of the matrix diagonal elements since we know the magnitudes of
-   these elements are all equal. */
-         if( diag[ 0 ] < 0.0 ) {
-            if( diag[ 1 ] < 0.0 ) {
-               wm->a[ 0 ] = AST__DPI;
-               wm->b[ 0 ] = 1.0;
-            } else {
-               wm->a[ 0 ] = AST__DPI;
-               wm->b[ 0 ] = -1.0;
-            }
-
-         } else {
-            if( diag[ 1 ] < 0.0 ) {
-               wm->a[ 0 ] = 0.0;
-               wm->b[ 0 ] = -1.0;
-            } else {
-               wm->a[ 0 ] = 0.0;
-               wm->b[ 0 ] = 1.0;
-            }
-         }
-
-         if( diag[ 2 ] < 0.0 ) {
-            wm->a[ 1 ] = 0.0;
-            wm->b[ 1 ] = -1.0;
-         } else {
-            wm->a[ 1 ] = 0.0;
-            wm->b[ 1 ] = 1.0;
-         }
-
-/* We are aiming to replace the supplied (SphMap,MatrixMap,SphMap)
-   combination with (WinMap,SphMap,SphMap), leaving us with an inverted
-   and non-inverted SphMap side by side. This is on the understanding
-   that a subsequent call to this function will combine these two
-   adjacent SphMaps into a UnitMap. But this will only happen if the
-   adjacent SphMaps have equal values for their PolarLong attributes. The
-   change of (SphMap,MatrixMap) to (WinMap,SphMap) will change the value
-   of the PolarLong attribute in the first SphMap, so we need to work out
-   this changed value and check that it is the same as the PolarLong
-   value of the second SphMap. If they are different, there is no point
-   making any changes since the two SphMaps cannot be merged into a
-   UnitMap. So get the PolarLong value from the supplied first SphMap. */
-         polarlong = astGetPolarLong( ( *map_list )[ where ] );
-
-/* Modified the PolarLong value to take account of the change from
-   (SphMap,MatrixMap) to (WinMap,SphMap). */
-         polarlong =  wm->a[ 0 ] + wm->b[ 0 ]*polarlong;
-
-/* Check this is the same as the PolarLong value in the second SphMap. */
-         if( astEQUAL( polarlong, astGetPolarLong( ( *map_list )[ where + 2 ] ) ) ) {
-
-/* All is good, so we can now change the supplied Mappings list. First
-   change the PolarLong value in the first SphMap. */
-            astSetPolarLong( ( *map_list )[ where ], polarlong );
-
-/* Annul The MatrixMap or ZoomMap. */
-            (void) astAnnul( ( *map_list )[ where + 1 ] );
-
-/* Move the first SphMap to the slot left vacant by the annulled
-   MatrixMap or ZoomMap. */
-            ( *map_list )[ where + 1 ] = ( *map_list )[ where ];
-            ( *invert_list )[ where + 1 ] = ( *invert_list )[ where ];
-
-/* Store the new WinMap in the place of the SphMap. */
-            ( *map_list )[ where ] = astClone( wm );
-            ( *invert_list )[ where ] = 0;
-
-/* Return the index of the first modified element. */
-            result = where;
-         }
-
-/* Free resources. */
-         wm = astAnnul( wm );
-      }
-   }
-
-/* If an error occurred, clear the returned result. */
-   if ( !astOK ) result = -1;
-
-/* Return the result. */
-   return result;
-}
-
-static void SetAttrib( AstObject *this_object, const char *setting, int *status ) {
-/*
-*  Name:
-*     SetAttrib
-
-*  Purpose:
-*     Set an attribute value for a SphMap.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "sphmap.h"
-*     void SetAttrib( AstObject *this, const char *setting )
-
-*  Class Membership:
-*     SphMap member function (over-rides the astSetAttrib protected
-*     method inherited from the Mapping class).
-
-*  Description:
-*     This function assigns an attribute value for a SphMap, the
-*     attribute and its value being specified by means of a string of
-*     the form:
-*
-*        "attribute= value "
-*
-*     Here, "attribute" specifies the attribute name and should be in
-*     lower case with no white space present. The value to the right
-*     of the "=" should be a suitable textual representation of the
-*     value to be assigned and this will be interpreted according to
-*     the attribute's data type.  White space surrounding the value is
-*     only significant for string attributes.
-
-*  Parameters:
-*     this
-*        Pointer to the SphMap.
-*     setting
-*        Pointer to a null-terminated string specifying the new attribute
-*        value.
-*/
-
-/* Local Variables: */
-   AstSphMap *this;              /* Pointer to the SphMap structure */
-   double dval;                  /* Double precision attribute value */
-   int len;                      /* Length of setting string */
-   int ival;                     /* Int attribute value */
-   int nc;                       /* Number of characters read by astSscanf */
-
-/* Check the global error status. */
-   if ( !astOK ) return;
-
-/* Obtain a pointer to the SphMap structure. */
-   this = (AstSphMap *) this_object;
-
-/* Obtain the length of the setting string. */
-   len = (int) strlen( setting );
-
-/* UnitRadius */
-/* ---------- */
-   if ( nc = 0,
-        ( 1 == astSscanf( setting, "unitradius= %d %n", &ival, &nc ) )
-        && ( nc >= len ) ) {
-      astSetUnitRadius( this, ival );
-
-/* PolarLong */
-/* --------- */
-   } else if ( nc = 0,
-        ( 1 == astSscanf( setting, "polarlong= %lf %n", &dval, &nc ) )
-        && ( nc >= len ) ) {
-      astSetPolarLong( this, dval );
-
-/* If the attribute is still not recognised, pass it on to the parent
-   method for further interpretation. */
-   } else {
-      (*parent_setattrib)( this_object, setting, status );
-   }
-}
-
-static int TestAttrib( AstObject *this_object, const char *attrib, int *status ) {
-/*
-*  Name:
-*     TestAttrib
-
-*  Purpose:
-*     Test if a specified attribute value is set for a SphMap.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "sphmap.h"
-*     int TestAttrib( AstObject *this, const char *attrib, int *status, int *status )
-
-*  Class Membership:
-*     SphMap member function (over-rides the astTestAttrib protected
-*     method inherited from the Mapping class).
-
-*  Description:
-*     This function returns a boolean result (0 or 1) to indicate whether
-*     a value has been set for one of a SphMap's attributes.
-
-*  Parameters:
-*     this
-*        Pointer to the SphMap.
-*     attrib
-*        Pointer to a null-terminated string specifying the attribute
-*        name.  This should be in lower case with no surrounding white
-*        space.
-*     status
-*        Pointer to the inherited status variable.
-*     status
-*        Pointer to the inherited status variable.
-
-*  Returned Value:
-*     One if a value has been set, otherwise zero.
-
-*  Notes:
-*     - A value of zero will be returned if this function is invoked
-*     with the global status set, or if it should fail for any reason.
-*/
-
-/* Local Variables: */
-   AstSphMap *this;             /* Pointer to the SphMap structure */
-   int result;                   /* Result value to return */
-
-/* Initialise. */
-   result = 0;
-
-/* Check the global error status. */
-   if ( !astOK ) return result;
-
-/* Obtain a pointer to the SphMap structure. */
-   this = (AstSphMap *) this_object;
-
-/* UnitRadius */
-/* ---------- */
-   if ( !strcmp( attrib, "unitradius" ) ) {
-      result = astTestUnitRadius( this );
-
-/* PolarLong */
-/* --------- */
-   } else if ( !strcmp( attrib, "polarlong" ) ) {
-      result = astTestPolarLong( this );
-
-/* If the attribute is still not recognised, pass it on to the parent
-   method for further interpretation. */
-   } else {
-      result = (*parent_testattrib)( this_object, attrib, status );
-   }
-
-/* Return the result, */
-   return result;
-}
-
-static AstPointSet *Transform( AstMapping *this, AstPointSet *in,
-                               int forward, AstPointSet *out, int *status ) {
-/*
-*  Name:
-*     Transform
-
-*  Purpose:
-*     Apply a SphMap to transform a set of points.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "sphmap.h"
-*     AstPointSet *Transform( AstMapping *this, AstPointSet *in,
-*                             int forward, AstPointSet *out, int *status, int *status )
-
-*  Class Membership:
-*     SphMap member function (over-rides the astTransform protected
-*     method inherited from the Mapping class).
-
-*  Description:
-*     This function takes a SphMap and a set of points encapsulated in a
-*     PointSet and transforms the points from Cartesian coordinates to
-*     spherical coordinates.
-
-*  Parameters:
-*     this
-*        Pointer to the SphMap.
-*     in
-*        Pointer to the PointSet holding the input coordinate data.
-*     forward
-*        A non-zero value indicates that the forward coordinate transformation
-*        should be applied, while a zero value requests the inverse
-*        transformation.
-*     out
-*        Pointer to a PointSet which will hold the transformed (output)
-*        coordinate values. A NULL value may also be given, in which case a
-*        new PointSet will be created by this function.
-*     status
-*        Pointer to the inherited status variable.
-*     status
-*        Pointer to the inherited status variable.
-
-*  Returned Value:
-*     Pointer to the output (possibly new) PointSet.
-
-*  Notes:
-*     -  A null pointer will be returned if this function is invoked with the
-*     global error status set, or if it should fail for any reason.
-*     -  The number of coordinate values per point in the input PointSet must
-*     match the number of coordinates for the SphMap being applied.
-*     -  If an output PointSet is supplied, it must have space for sufficient
-*     number of points and coordinate values per point to accommodate the
-*     result. Any excess space will be ignored.
-*/
-
-/* Local Variables: */
-   AstPointSet *result;          /* Pointer to output PointSet */
-   AstSphMap *map;               /* Pointer to SphMap to be applied */
-   double **ptr_in;              /* Pointer to input coordinate data */
-   double **ptr_out;             /* Pointer to output coordinate data */
-   int npoint;                   /* Number of points */
-   int point;                    /* Loop counter for points */
-   double *p0;                   /* Pointer to x axis value */
-   double *p1;                   /* Pointer to y axis value */
-   double *p2;                   /* Pointer to z axis value */
-   double *q0;                   /* Pointer to longitude value */
-   double *q1;                   /* Pointer to latitude value */
-   double mxerr;                 /* Largest value which is effectively zero */
-   double polarlong;             /* Longitude at either pole */
-   double v[3];                  /* Vector for a single point */
-
-/* Check the global error status. */
-   if ( !astOK ) return NULL;
-
-/* Obtain a pointer to the SphMap. */
-   map = (AstSphMap *) this;
-
-/* Apply the parent mapping using the stored pointer to the Transform member
-   function inherited from the parent Mapping class. This function validates
-   all arguments and generates an output PointSet if necessary, but does not
-   actually transform any coordinate values. */
-   result = (*parent_transform)( this, in, forward, out, status );
-
-/* We will now extend the parent astTransform method by performing the
-   calculations needed to generate the output coordinate values. */
-
-/* Determine the numbers of points and coordinates per point from the input
-   PointSet and obtain pointers for accessing the input and output coordinate
-   values. */
-   npoint = astGetNpoint( in );
-   ptr_in = astGetPoints( in );
-   ptr_out = astGetPoints( result );
-
-/* Determine whether to apply the forward or inverse mapping, according to the
-   direction specified and whether the mapping has been inverted. */
-   if ( astGetInvert( map ) ) forward = !forward;
-
-/* Perform coordinate arithmetic. */
-/* ------------------------------ */
-   if( astOK ){
-
-/* First deal with forward mappings from Cartesian to Spherical. */
-      if( forward ){
-
-/* Get the longitude to return at either pole. */
-         polarlong = astGetPolarLong( this );
-
-/* Store pointers to the input Cartesian axes. */
-         p0 = ptr_in[ 0 ];
-         p1 = ptr_in[ 1 ];
-         p2 = ptr_in[ 2 ];
-
-/* Store pointers to the output Spherical axes. */
-         q0 = ptr_out[ 0 ];
-         q1 = ptr_out[ 1 ];
-
-/* Apply the mapping to every point. */
-         for( point = 0; point < npoint; point++ ){
-            if( *p0 != AST__BAD && *p1 != AST__BAD && *p2 != AST__BAD ){
-               v[0] = *p0;
-               v[1] = *p1;
-               v[2] = *p2;
-
-/* At either pole, return the longitude equal to PolarLong attribute. */
-               mxerr = fabs( 1000.0*v[ 2 ] )*DBL_EPSILON;
-               if( fabs( v[ 0 ] ) < mxerr && fabs( v[ 1 ] ) < mxerr ) {
-                  if( v[ 2 ] < 0.0 ) {
-                     *(q0++) = polarlong;
-                     *(q1++) = -AST__DPIBY2;
-                  } else if( v[ 2 ] > 0.0 ) {
-                     *(q0++) = polarlong;
-                     *(q1++) = AST__DPIBY2;
-                  } else {
-                     *(q0++) = AST__BAD;
-                     *(q1++) = AST__BAD;
-                  }
-
-/* Otherwise use a SLALIB function to do the conversion (SLALIB always
-   returns zero at either pole which is why we make the above check). */
-               } else {
-                  palDcc2s( v, q0++, q1++ );
-               }
-
-            } else {
-               *(q0++) = AST__BAD;
-               *(q1++) = AST__BAD;
-            }
-            p0++;
-            p1++;
-            p2++;
-         }
-
-/* Now deal with inverse mappings from Spherical to Cartesian. */
-      } else {
-
-/* Store pointers to the input Spherical axes. */
-         q0 = ptr_in[ 0 ];
-         q1 = ptr_in[ 1 ];
-
-/* Store pointers to the output Cartesian axes. */
-         p0 = ptr_out[ 0 ];
-         p1 = ptr_out[ 1 ];
-         p2 = ptr_out[ 2 ];
-
-/* Apply the mapping to every point. */
-         for( point = 0; point < npoint; point++ ){
-            if( *q0 != AST__BAD && *q1 != AST__BAD ){
-               palDcs2c( *q0, *q1, v );
-               *(p0++) = v[ 0 ];
-               *(p1++) = v[ 1 ];
-               *(p2++) = v[ 2 ];
-            } else {
-               *(p0++) = AST__BAD;
-               *(p1++) = AST__BAD;
-               *(p2++) = AST__BAD;
-
-            }
-            q0++;
-            q1++;
-         }
-
-      }
-
-   }
-
-/* Return a pointer to the output PointSet. */
-   return result;
-}
-
-/* Functions which access class attributes. */
-/* ---------------------------------------- */
-/* Implement member functions to access the attributes associated with
-   this class using the macros defined for this purpose in the
-   "object.h" file. For a description of each attribute, see the class
-   interface (in the associated .h file). */
-
-/* UnitRadius */
-/* ---------- */
-/*
-*att++
-*  Name:
-*     UnitRadius
-
-*  Purpose:
-*     SphMap input vectors lie on a unit sphere?
-
-*  Type:
-*     Public attribute.
-
-*  Synopsis:
-*     Integer (boolean).
-
-*  Description:
-*     This is a boolean attribute which indicates whether the
-*     3-dimensional vectors which are supplied as input to a SphMap
-*     are known to always have unit length, so that they lie on a unit
-*     sphere centred on the origin.
-*
-c     If this condition is true (indicated by setting UnitRadius
-c     non-zero), it implies that a CmpMap which is composed of a
-c     SphMap applied in the forward direction followed by a similar
-c     SphMap applied in the inverse direction may be simplified
-c     (e.g. by astSimplify) to become a UnitMap. This is because the
-c     input and output vectors will both have unit length and will
-c     therefore have the same coordinate values.
-f     If this condition is true (indicated by setting UnitRadius
-f     non-zero), it implies that a CmpMap which is composed of a
-f     SphMap applied in the forward direction followed by a similar
-f     SphMap applied in the inverse direction may be simplified
-f     (e.g. by AST_SIMPLIFY) to become a UnitMap. This is because the
-f     input and output vectors will both have unit length and will
-f     therefore have the same coordinate values.
-*
-*     If UnitRadius is zero (the default), then although the output
-*     vector produced by the CmpMap (above) will still have unit
-*     length, the input vector may not have. This will, in general,
-*     change the coordinate values, so it prevents the pair of SphMaps
-*     being simplified.
-
-*  Notes:
-*     - This attribute is intended mainly for use when SphMaps are
-*     involved in a sequence of Mappings which project (e.g.) a
-*     dataset on to the celestial sphere. By regarding the celestial
-*     sphere as a unit sphere (and setting UnitRadius to be non-zero)
-*     it becomes possible to cancel the SphMaps present, along with
-*     associated sky projections, when two datasets are aligned using
-*     celestial coordinates. This often considerably improves
-*     performance.
-*     - Such a situations often arises when interpreting FITS data and
-*     is handled automatically by the FitsChan class.
-*     - The value of the UnitRadius attribute is used only to control
-*     the simplification of Mappings and has no effect on the value of
-*     the coordinates transformed by a SphMap. The lengths of the
-*     input 3-dimensional Cartesian vectors supplied are always
-*     ignored, even if UnitRadius is non-zero.
-*     - The value of this attribute may changed only if the SphMap
-*     has no more than one reference. That is, an error is reported if the
-*     SphMap has been cloned, either by including it within another object
-*     such as a CmpMap or FrameSet or by calling the
-c     astClone
-f     AST_CLONE
-*     function.
-
-*  Applicability:
-*     SphMap
-*        All SphMaps have this attribute.
-*att--
-*/
-astMAKE_CLEAR1(SphMap,UnitRadius,unitradius,-1)
-astMAKE_GET(SphMap,UnitRadius,int,0,(this->unitradius == -1 ? 0 : this->unitradius))
-astMAKE_SET1(SphMap,UnitRadius,int,unitradius,( value ? 1 : 0 ))
-astMAKE_TEST(SphMap,UnitRadius,( this->unitradius != -1 ))
-
-/* PolarLong */
-/* --------- */
-/*
-*att++
-*  Name:
-*     PolarLong
-
-*  Purpose:
-*     The longitude value to assign to either pole
-
-*  Type:
-*     Public attribute.
-
-*  Synopsis:
-*     Double precision.
-
-*  Description:
-*     This attribute holds the longitude value, in radians, to be
-*     returned when a Cartesian position corresponding to either the north
-*     or south pole is transformed into spherical coordinates. The
-*     default value is zero.
-*
-*     Note, the value of this attribute may changed only if the SphMap
-*     has no more than one reference. That is, an error is reported if the
-*     SphMap has been cloned, either by including it within another object
-*     such as a CmpMap or FrameSet or by calling the
-c     astClone
-f     AST_CLONE
-*     function.
-
-*  Applicability:
-*     SphMap
-*        All SphMaps have this attribute.
-*att--
-*/
-astMAKE_CLEAR1(SphMap,PolarLong,polarlong,AST__BAD)
-astMAKE_GET(SphMap,PolarLong,double,0.0,(this->polarlong == AST__BAD ? 0.0 : this->polarlong))
-astMAKE_SET1(SphMap,PolarLong,double,polarlong,value)
-astMAKE_TEST(SphMap,PolarLong,( this->polarlong != AST__BAD ))
-
-/* Copy constructor. */
-/* ----------------- */
-static void Copy( const AstObject *objin, AstObject *objout, int *status ) {
-/*
-*  Name:
-*     Copy
-
-*  Purpose:
-*     Copy constructor for SphMap objects.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     void Copy( const AstObject *objin, AstObject *objout, int *status, int *status, int *status )
-
-*  Description:
-*     This function implements the copy constructor for SphMap objects.
-
-*  Parameters:
-*     objin
-*        Pointer to the SphMap to be copied.
-*     objout
-*        Pointer to the SphMap being constructed.
-*     status
-*        Pointer to the inherited status variable.
-*     status
-*        Pointer to the inherited status variable.
-*     status
-*        Pointer to the inherited status variable.
-
-*/
-
-}
-
-/* Destructor. */
-/* ----------- */
-static void Delete( AstObject *obj, int *status ) {
-/*
-*  Name:
-*     Delete
-
-*  Purpose:
-*     Destructor for SphMap objects.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     void Delete( AstObject *obj, int *status, int *status )
-
-*  Description:
-*     This function implements the destructor for SphMap objects.
-
-*  Parameters:
-*     obj
-*        Pointer to the SphMap to be deleted.
-*     status
-*        Pointer to the inherited status variable.
-*     status
-*        Pointer to the inherited status variable.
-
-*  Notes:
-*     - This destructor does nothing and exists only to maintain a
-*     one-to-one correspondence between destructors and copy
-*     constructors.
-*/
-
-
-}
-
-/* Dump function. */
-/* -------------- */
-static void Dump( AstObject *this_object, AstChannel *channel, int *status ) {
-/*
-*  Name:
-*     Dump
-
-*  Purpose:
-*     Dump function for SphMap objects.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     void Dump( AstObject *this, AstChannel *channel, int *status, int *status, int *status, int *status )
-
-*  Description:
-*     This function implements the Dump function which writes out data
-*     for the SphMap class to an output Channel.
-
-*  Parameters:
-*     this
-*        Pointer to the SphMap whose data are being written.
-*     channel
-*        Pointer to the Channel to which the data are being written.
-*     status
-*        Pointer to the inherited status variable.
-*     status
-*        Pointer to the inherited status variable.
-*     status
-*        Pointer to the inherited status variable.
-*     status
-*        Pointer to the inherited status variable.
-*/
-
-/* Local Variables: */
-   AstSphMap *this;              /* Pointer to the SphMap structure */
-   double dval;                  /* Double precision attribute value */
-   int ival;                     /* Integer value */
-   int set;                      /* Attribute value set? */
-
-/* Check the global error status. */
-   if ( !astOK ) return;
-
-/* Obtain a pointer to the SphMap structure. */
-   this = (AstSphMap *) this_object;
-
-/* Write out values representing the instance variables for the
-   SphMap class.  Accompany these with appropriate comment strings,
-   possibly depending on the values being written.*/
-
-/* In the case of attributes, we first use the appropriate (private)
-   Test...  member function to see if they are set. If so, we then use
-   the (private) Get... function to obtain the value to be written
-   out.
-
-   For attributes which are not set, we use the astGet... method to
-   obtain the value instead. This will supply a default value
-   (possibly provided by a derived class which over-rides this method)
-   which is more useful to a human reader as it corresponds to the
-   actual default attribute value.  Since "set" will be zero, these
-   values are for information only and will not be read back. */
-
-/* UnitRadius. */
-/* ------- */
-   set = TestUnitRadius( this, status );
-   ival = set ? GetUnitRadius( this, status ) : astGetUnitRadius( this );
-   if( ival ) {
-      astWriteInt( channel, "UntRd", set, 0, ival, "All input vectors have unit length" );
-   } else {
-      astWriteInt( channel, "UntRd", set, 0, ival, "Input vectors do not all have unit length" );
-   }
-
-/* PolarLong. */
-/* ---------- */
-   set = TestPolarLong( this, status );
-   dval = set ? GetPolarLong( this, status ) : astGetPolarLong( this );
-   astWriteDouble( channel, "PlrLg", set, 1, dval, "Polar longitude (rad.s)" );
-
-}
-
-/* Standard class functions. */
-/* ========================= */
-/* Implement the astIsASphMap and astCheckSphMap functions using the macros
-   defined for this purpose in the "object.h" header file. */
-astMAKE_ISA(SphMap,Mapping)
-astMAKE_CHECK(SphMap)
-
-AstSphMap *astSphMap_( const char *options, int *status, ...) {
-/*
-*++
-*  Name:
-c     astSphMap
-f     AST_SPHMAP
-
-*  Purpose:
-*     Create a SphMap.
-
-*  Type:
-*     Public function.
-
-*  Synopsis:
-c     #include "sphmap.h"
-c     AstSphMap *astSphMap( const char *options, ... )
-f     RESULT = AST_SPHMAP( OPTIONS, STATUS )
-
-*  Class Membership:
-*     SphMap constructor.
-
-*  Description:
-*     This function creates a new SphMap and optionally initialises
-*     its attributes.
-*
-*     A SphMap is a Mapping which transforms points from a
-*     3-dimensional Cartesian coordinate system into a 2-dimensional
-*     spherical coordinate system (longitude and latitude on a unit
-*     sphere centred at the origin). It works by regarding the input
-*     coordinates as position vectors and finding their intersection
-*     with the sphere surface. The inverse transformation always
-*     produces points which are a unit distance from the origin
-*     (i.e. unit vectors).
-
-*  Parameters:
-c     options
-f     OPTIONS = CHARACTER * ( * ) (Given)
-c        Pointer to a null-terminated string containing an optional
-c        comma-separated list of attribute assignments to be used for
-c        initialising the new SphMap. The syntax used is identical to
-c        that for the astSet function and may include "printf" format
-c        specifiers identified by "%" symbols in the normal way.
-f        A character string containing an optional comma-separated
-f        list of attribute assignments to be used for initialising the
-f        new SphMap. The syntax used is identical to that for the
-f        AST_SET routine.
-c     ...
-c        If the "options" string contains "%" format specifiers, then
-c        an optional list of additional arguments may follow it in
-c        order to supply values to be substituted for these
-c        specifiers. The rules for supplying these are identical to
-c        those for the astSet function (and for the C "printf"
-c        function).
-f     STATUS = INTEGER (Given and Returned)
-f        The global status.
-
-*  Returned Value:
-c     astSphMap()
-f     AST_SPHMAP = INTEGER
-*        A pointer to the new SphMap.
-
-*  Notes:
-*     - The spherical coordinates are longitude (positive
-*     anti-clockwise looking from the positive latitude pole) and
-*     latitude. The Cartesian coordinates are right-handed, with the x
-*     axis (axis 1) at zero longitude and latitude, and the z axis
-*     (axis 3) at the positive latitude pole.
-*     - At either pole, the longitude is set to the value of the
-*     PolarLong attribute.
-*     - If the Cartesian coordinates are all zero, then the longitude
-*     and latitude are set to the value AST__BAD.
-*     - A null Object pointer (AST__NULL) will be returned if this
-c     function is invoked with the AST error status set, or if it
-f     function is invoked with STATUS set to an error value, or if it
-*     should fail for any reason.
-
-*  Status Handling:
-*     The protected interface to this function includes an extra
-*     parameter at the end of the parameter list descirbed above. This
-*     parameter is a pointer to the integer inherited status
-*     variable: "int *status".
-
-
-*  Status Handling:
-*     The protected interface to this function includes an extra
-*     parameter at the end of the parameter list descirbed above. This
-*     parameter is a pointer to the integer inherited status
-*     variable: "int *status".
-
-
-*  Status Handling:
-*     The protected interface to this function includes an extra
-*     parameter at the end of the parameter list descirbed above. This
-*     parameter is a pointer to the integer inherited status
-*     variable: "int *status".
-
-*--
-*/
-
-/* Local Variables: */
-   astDECLARE_GLOBALS            /* Pointer to thread-specific global data */
-   AstSphMap *new;              /* Pointer to new SphMap */
-   va_list args;                /* Variable argument list */
-
-/* Get a pointer to the thread specific global data structure. */
-   astGET_GLOBALS(NULL);
-
-/* Check the global status. */
-   if ( !astOK ) return NULL;
-
-/* Initialise the SphMap, allocating memory and initialising the
-   virtual function table as well if necessary. */
-   new = astInitSphMap( NULL, sizeof( AstSphMap ), !class_init, &class_vtab,
-                        "SphMap" );
-
-/* If successful, note that the virtual function table has been
-   initialised. */
-   if ( astOK ) {
-      class_init = 1;
-
-/* Obtain the variable argument list and pass it along with the options string
-   to the astVSet method to initialise the new SphMap's attributes. */
-      va_start( args, status );
-      astVSet( new, options, NULL, args );
-      va_end( args );
-
-/* If an error occurred, clean up by deleting the new object. */
-      if ( !astOK ) new = astDelete( new );
-   }
-
-/* Return a pointer to the new SphMap. */
-   return new;
-}
-
-AstSphMap *astSphMapId_( const char *options, ...) {
-/*
-*  Name:
-*     astSphMapId_
-
-*  Purpose:
-*     Create a SphMap.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "sphmap.h"
-*     AstSphMap *astSphMapId_( const char *options, ... )
-
-*  Class Membership:
-*     SphMap constructor.
-
-*  Description:
-*     This function implements the external (public) interface to the
-*     astSphMap constructor function. It returns an ID value (instead
-*     of a true C pointer) to external users, and must be provided
-*     because astSphMap_ has a variable argument list which cannot be
-*     encapsulated in a macro (where this conversion would otherwise
-*     occur).
-*
-*     The variable argument list also prevents this function from
-*     invoking astSphMap_ directly, so it must be a re-implementation
-*     of it in all respects, except for the final conversion of the
-*     result to an ID value.
-
-*  Parameters:
-*     As for astSphMap_.
-
-*  Returned Value:
-*     The ID value associated with the new SphMap.
-*/
-
-/* Local Variables: */
-   astDECLARE_GLOBALS            /* Pointer to thread-specific global data */
-   AstSphMap *new;              /* Pointer to new SphMap */
-   va_list args;                /* Variable argument list */
-   int *status;                 /* Pointer to inherited status value */
-
-/* Get a pointer to the inherited status value. */
-   status = astGetStatusPtr;
-
-/* Get a pointer to the thread specific global data structure. */
-   astGET_GLOBALS(NULL);
-
-/* Check the global status. */
-   if ( !astOK ) return NULL;
-
-/* Initialise the SphMap, allocating memory and initialising the
-   virtual function table as well if necessary. */
-   new = astInitSphMap( NULL, sizeof( AstSphMap ), !class_init, &class_vtab,
-                        "SphMap" );
-
-/* If successful, note that the virtual function table has been
-   initialised. */
-   if ( astOK ) {
-      class_init = 1;
-
-/* Obtain the variable argument list and pass it along with the options string
-   to the astVSet method to initialise the new SphMap's attributes. */
-      va_start( args, options );
-      astVSet( new, options, NULL, args );
-      va_end( args );
-
-/* If an error occurred, clean up by deleting the new object. */
-      if ( !astOK ) new = astDelete( new );
-   }
-
-/* Return an ID value for the new SphMap. */
-   return astMakeId( new );
-}
-
-AstSphMap *astInitSphMap_( void *mem, size_t size, int init,
-                           AstSphMapVtab *vtab, const char *name, int *status ) {
-/*
-*+
-*  Name:
-*     astInitSphMap
-
-*  Purpose:
-*     Initialise a SphMap.
-
-*  Type:
-*     Protected function.
-
-*  Synopsis:
-*     #include "sphmap.h"
-*     AstSphMap *astInitSphMap( void *mem, size_t size, int init,
-*                               AstSphMapVtab *vtab, const char *name )
-
-*  Class Membership:
-*     SphMap initialiser.
-
-*  Description:
-*     This function is provided for use by class implementations to initialise
-*     a new SphMap object. It allocates memory (if necessary) to accommodate
-*     the SphMap plus any additional data associated with the derived class.
-*     It then initialises a SphMap structure at the start of this memory. If
-*     the "init" flag is set, it also initialises the contents of a virtual
-*     function table for a SphMap at the start of the memory passed via the
-*     "vtab" parameter.
-
-*  Parameters:
-*     mem
-*        A pointer to the memory in which the SphMap is to be initialised.
-*        This must be of sufficient size to accommodate the SphMap data
-*        (sizeof(SphMap)) plus any data used by the derived class. If a value
-*        of NULL is given, this function will allocate the memory itself using
-*        the "size" parameter to determine its size.
-*     size
-*        The amount of memory used by the SphMap (plus derived class data).
-*        This will be used to allocate memory if a value of NULL is given for
-*        the "mem" parameter. This value is also stored in the SphMap
-*        structure, so a valid value must be supplied even if not required for
-*        allocating memory.
-*     init
-*        A logical flag indicating if the SphMap's virtual function table is
-*        to be initialised. If this value is non-zero, the virtual function
-*        table will be initialised by this function.
-*     vtab
-*        Pointer to the start of the virtual function table to be associated
-*        with the new SphMap.
-*     name
-*        Pointer to a constant null-terminated character string which contains
-*        the name of the class to which the new object belongs (it is this
-*        pointer value that will subsequently be returned by the astGetClass
-*        method).
-
-*  Returned Value:
-*     A pointer to the new SphMap.
-
-*  Notes:
-*     -  A null pointer will be returned if this function is invoked with the
-*     global error status set, or if it should fail for any reason.
-*-
-*/
-
-/* Local Variables: */
-   AstSphMap *new;              /* Pointer to new SphMap */
-
-/* Check the global status. */
-   if ( !astOK ) return NULL;
-
-/* If necessary, initialise the virtual function table. */
-   if ( init ) astInitSphMapVtab( vtab, name );
-
-/* Initialise. */
-   new = NULL;
-
-/* Initialise a Mapping structure (the parent class) as the first component
-   within the SphMap structure, allocating memory if necessary. Specify that
-   the Mapping should be defined in both the forward and inverse directions. */
-   new = (AstSphMap *) astInitMapping( mem, size, 0,
-                                       (AstMappingVtab *) vtab, name,
-                                       3, 2, 1, 1 );
-
-   if ( astOK ) {
-
-/* Initialise the SphMap data. */
-/* --------------------------- */
-/* Are all input vectors of unit length? Store a value of -1 to indicate that
-   no value has yet been set. This will cause a default value of 0 (no, i.e.
-   input vectors are not all of unit length) to be used. */
-      new->unitradius = -1;
-      new->polarlong = AST__BAD;
-
-   }
-
-/* Return a pointer to the new SphMap. */
-   return new;
-}
-
-AstSphMap *astLoadSphMap_( void *mem, size_t size,
-                           AstSphMapVtab *vtab, const char *name,
-                           AstChannel *channel, int *status ) {
-/*
-*+
-*  Name:
-*     astLoadSphMap
-
-*  Purpose:
-*     Load a SphMap.
-
-*  Type:
-*     Protected function.
-
-*  Synopsis:
-*     #include "sphmap.h"
-*     AstSphMap *astLoadSphMap( void *mem, size_t size,
-*                               AstSphMapVtab *vtab, const char *name,
-*                               AstChannel *channel )
-
-*  Class Membership:
-*     SphMap loader.
-
-*  Description:
-*     This function is provided to load a new SphMap using data read
-*     from a Channel. It first loads the data used by the parent class
-*     (which allocates memory if necessary) and then initialises a
-*     SphMap structure in this memory, using data read from the input
-*     Channel.
-*
-*     If the "init" flag is set, it also initialises the contents of a
-*     virtual function table for a SphMap at the start of the memory
-*     passed via the "vtab" parameter.
-
-
-*  Parameters:
-*     mem
-*        A pointer to the memory into which the SphMap is to be
-*        loaded.  This must be of sufficient size to accommodate the
-*        SphMap data (sizeof(SphMap)) plus any data used by derived
-*        classes. If a value of NULL is given, this function will
-*        allocate the memory itself using the "size" parameter to
-*        determine its size.
-*     size
-*        The amount of memory used by the SphMap (plus derived class
-*        data).  This will be used to allocate memory if a value of
-*        NULL is given for the "mem" parameter. This value is also
-*        stored in the SphMap structure, so a valid value must be
-*        supplied even if not required for allocating memory.
-*
-*        If the "vtab" parameter is NULL, the "size" value is ignored
-*        and sizeof(AstSphMap) is used instead.
-*     vtab
-*        Pointer to the start of the virtual function table to be
-*        associated with the new SphMap. If this is NULL, a pointer
-*        to the (static) virtual function table for the SphMap class
-*        is used instead.
-*     name
-*        Pointer to a constant null-terminated character string which
-*        contains the name of the class to which the new object
-*        belongs (it is this pointer value that will subsequently be
-*        returned by the astGetClass method).
-*
-*        If the "vtab" parameter is NULL, the "name" value is ignored
-*        and a pointer to the string "SphMap" is used instead.
-
-*  Returned Value:
-*     A pointer to the new SphMap.
-
-*  Notes:
-*     - A null pointer will be returned if this function is invoked
-*     with the global error status set, or if it should fail for any
-*     reason.
-*-
-*/
-
-#define KEY_LEN 50               /* Maximum length of a keyword */
-
-/* Local Variables: */
-   astDECLARE_GLOBALS            /* Pointer to thread-specific global data */
-   AstSphMap *new;               /* Pointer to the new SphMap */
-
-/* Initialise. */
-   new = NULL;
-
-/* Check the global error status. */
-   if( !astOK ) return new;
-
-/* Get a pointer to the thread specific global data structure. */
-   astGET_GLOBALS(channel);
-
-/* If a NULL virtual function table has been supplied, then this is
-   the first loader to be invoked for this SphMap. In this case the
-   SphMap belongs to this class, so supply appropriate values to be
-   passed to the parent class loader (and its parent, etc.). */
-   if ( !vtab ) {
-      size = sizeof( AstSphMap );
-      vtab = &class_vtab;
-      name = "SphMap";
-
-/* If required, initialise the virtual function table for this class. */
-      if ( !class_init ) {
-         astInitSphMapVtab( vtab, name );
-         class_init = 1;
-      }
-   }
-
-/* Invoke the parent class loader to load data for all the ancestral
-   classes of the current one, returning a pointer to the resulting
-   partly-built SphMap. */
-   new = astLoadMapping( mem, size, (AstMappingVtab *) vtab, name,
-                         channel );
-
-   if ( astOK ) {
-
-/* Read input data. */
-/* ================ */
-/* Request the input Channel to read all the input data appropriate to
-   this class into the internal "values list". */
-      astReadClassData( channel, "SphMap" );
-
-/* Now read each individual data item from this list and use it to
-   initialise the appropriate instance variable(s) for this class. */
-
-/* In the case of attributes, we first read the "raw" input value,
-   supplying the "unset" value as the default. If a "set" value is
-   obtained, we then use the appropriate (private) Set... member
-   function to validate and set the value properly. */
-
-/* UnitRadius. */
-/* ----------- */
-      new->unitradius = astReadInt( channel, "untrd", -1 );
-      if ( TestUnitRadius( new, status ) ) SetUnitRadius( new, new->unitradius, status );
-
-/* PolarLong. */
-/* ---------- */
-      new->polarlong = astReadDouble( channel, "plrlg", AST__BAD );
-      if ( TestPolarLong( new, status ) ) SetPolarLong( new, new->polarlong, status );
-
-   }
-
-/* If an error occurred, clean up by deleting the new SphMap. */
-   if ( !astOK ) new = astDelete( new );
-
-/* Return the new SphMap pointer. */
-   return new;
-}
-
-/* Virtual function interfaces. */
-/* ============================ */
-/* These provide the external interface to the virtual functions defined by
-   this class. Each simply checks the global error status and then locates and
-   executes the appropriate member function, using the function pointer stored
-   in the object's virtual function table (this pointer is located using the
-   astMEMBER macro defined in "object.h").
-
-   Note that the member function may not be the one defined here, as it may
-   have been over-ridden by a derived class. However, it should still have the
-   same interface. */
-
-
-
-
-