upgrade ast 8.7.1

1 files changed, 0 insertions, 1682 deletions

diff --git a/ast/unitnormmap.c b/ast/unitnormmap.c
deleted file mode 100644
index c557099..0000000
--- a/ast/unitnormmap.c
+++ /dev/null
@@ -1,1682 +0,0 @@
-/*
-*class++
-*  Name:
-*     UnitNormMap
-
-*  Purpose:
-*     Convert a vector to a unit vector and its norm, relative to a specified centre.
-
-*  Constructor Function:
-c     astUnitNormMap
-f     AST_UNITNORMMAP
-
-*  Description:
-*     The forward transformation of a UnitNormMap subtracts the specified centre
-*     and then transforms the resulting vector to a unit vector and the vector norm.
-*     The output contains one more coordinate than the input: the initial
-*     Nin outputs are in the same order as the input; the final output is the norm.
-*     If the norm is 0, then the output of the forward transformation is AST__BAD
-*     for each component of the unit vector and 0 for the norm (the final value).
-*
-*     The inverse transformation of a UnitNormMap multiplies each component
-*     of the provided vector by the provided norm and adds the specified centre.
-*     The output contains one fewer coordinate than the input: the initial Nin inputs
-*     are in the same order as the output; the final input is the norm.
-*     If the provided norm is 0 then the other input values are ignored,
-*     and the output vector is the centre.
-*
-*     Example: if centre = [1, -1] then [5, 2] transforms to [4, 3] after subtracting the centre;
-*     the norm is 5, so the output is [0.8, 0.6, 5].
-*
-*     UnitNormMap enables radially symmetric transformations, as follows:
-*     - apply a UnitNormMap to produce a unit vector and norm (radius)
-*     - apply a one-dimensional mapping to the norm (radius), while passing the unit vector unchanged
-*     - apply the same UnitNormMap in the inverse direction to produce the result
-
-*  Inheritance:
-*     The UnitNormMap class inherits from the Mapping class.
-
-*  Attributes:
-*     The UnitNormMap class does not define any new attributes beyond those
-*     which are applicable to all Mappings.
-
-*  Functions:
-c     The UnitNormMap class does not define any new functions beyond those
-f     The UnitNormMap class does not define any new routines beyond those
-*     which are applicable to all Mappings.
-
-*  Copyright:
-*     Copyright (C) 2016 University of Washington
-
-*  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:
-*     RO: Russell Owen (LSST)
-*     DSB: David S Berry (EAO)
-
-*  History:
-*     20-APR-2016 (RO):
-*        Original version.
-*     17-MAR-2017 (DSB):
-*        Fix some memory leaks in MakeMergedMap.
-*     23-JAN-2017 (DSB):
-*        The length of the centre array is "Nin" for an uninverted
-*        UnitNormMap but "Nout" for an inverted UnitNormMap. Previously,
-*        it was always assumed to be Nin, which lead to a memory leak in
-*        the Copy function, etc.
-*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 UnitNormMap
-
-/* Macros which return the maximum and minimum of two values. */
-#define MAX(aa,bb) ((aa)>(bb)?(aa):(bb))
-#define MIN(aa,bb) ((aa)<(bb)?(aa):(bb))
-
-/* Macro to check for equality of floating point values. We cannot
-   compare bad values directory because of the danger of floating point
-   exceptions, so bad values are dealt with explicitly. */
-#define EQUAL(aa,bb) (((aa)==AST__BAD)?(((bb)==AST__BAD)?1:0):(((bb)==AST__BAD)?0:(fabs((aa)-(bb))<=1.0E9*MAX((fabs(aa)+fabs(bb))*DBL_EPSILON,DBL_MIN))))
-
-/* 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 "object.h"              /* Base Object class */
-#include "pointset.h"            /* Sets of points/coordinates */
-#include "unitmap.h"             /* Unit mappings */
-#include "mapping.h"             /* Coordinate mappings (parent class) */
-#include "shiftmap.h"            /* ShiftMap */
-#include "winmap.h"            /* ShiftMap */
-#include "channel.h"             /* I/O channels */
-#include "unitnormmap.h"         /* Interface definition for this class */
-
-/* Error code definitions. */
-/* ----------------------- */
-#include "ast_err.h"             /* AST error codes */
-
-/* C header files. */
-/* --------------- */
-#include <float.h>
-#include <math.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 int (* parent_getobjsize)( AstObject *, int * );
-static AstPointSet *(* parent_transform)( AstMapping *, AstPointSet *, int, AstPointSet *, int * );
-
-
-#ifdef THREAD_SAFE
-/* Define how to initialise thread-specific globals. */
-#define GLOBAL_inits \
-   globals->Class_Init = 0;
-
-/* Create the function that initialises global data for this module. */
-astMAKE_INITGLOBALS(UnitNormMap)
-
-/* Define macros for accessing each item of thread specific global data. */
-#define class_init astGLOBAL(UnitNormMap,Class_Init)
-#define class_vtab astGLOBAL(UnitNormMap,Class_Vtab)
-
-
-#include <pthread.h>
-
-
-#else
-
-
-/* Define the class virtual function table and its initialisation flag
-   as static variables. */
-static AstUnitNormMapVtab 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. */
-AstUnitNormMap *astUnitNormMapId_( int, const double [], const char *, ... );
-
-/* Prototypes for Private Member Functions. */
-/* ======================================== */
-
-static AstPointSet *Transform( AstMapping *, AstPointSet *, int, AstPointSet *, int * );
-static int GetMappingType( AstMapping *, int * );
-static AstMapping * MakeMergedMap( AstMapping *, AstMapping *, int * );
-static int GetObjSize( AstObject *, int * );
-static int MapMerge( AstMapping *, int, int, int *, AstMapping ***, int **, int * );
-static void Copy( const AstObject *, AstObject *, int * );
-static void Delete( AstObject *, int * );
-static void Dump( AstObject *, AstChannel *, int * );
-static int GetIsLinear( AstMapping *, int * );
-
-/* Member functions. */
-/* ================= */
-static int GetMappingType( AstMapping *map, int *status ) {
-/*
-*
-*  Name:
-*     GetMappingType
-
-*  Purpose:
-*     Return a code describing the mapping type, to aid simplification.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "unitnormmap.h"
-*     int MakeMergedMap( AstMapping *map1, AstMapping *map2, int inv1, int inv2, int *status )
-
-*  Class Membership:
-*     UnitNormMap internal utility function.
-
-*  Description:
-*     This function returns an integer code describing the type of a mapping,
-*     to help with merging two mappings. The codes are:
-*     3 = WinMap
-*     2 = ShiftMap
-*     1 = UnitNormMap
-*     0 = other
-
-*  Parameters:
-*     map
-*        A pointer to the mapping
-*     status
-*        Pointer to the inherited status variable.
-
-*  Returned Value:
-*     A pointer to the merged mapping, or NULL if the Mappings cannot be merged
-
-*/
-   const char *class = astGetClass( map );
-   int type = 0;
-   if( strcmp( class, "UnitNormMap" ) == 0 ) {
-      type = 1;
-   } else if( strcmp( class, "ShiftMap" ) == 0 ) {
-      type = 2;
-   } else if( strcmp( class, "WinMap" ) == 0){
-      type = 3;
-   }
-   return type;
-}
-
-static AstMapping * MakeMergedMap( AstMapping *map1, AstMapping *map2, int *status ){
-/*
-*
-*  Name:
-*     MakeMergedMap
-
-*  Purpose:
-*     Make a single Mapping that is equivalent to the merging of two other Mappings,
-*     one of which must be a UnitNormMap.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "unitnormmap.h"
-*     int MakeMergedMap( AstMapping *map1, AstMapping *map2, int inv1, int inv2, int *status )
-
-*  Class Membership:
-*     UnitNormMap internal utility function.
-
-*  Description:
-*     This function returns a single Mapping that is the equivalent of the two supplied Mappings,
-*     if they can be merged. One of the pair must be a UnitNormMap.
-*
-*     Supported merges, which must be in series:
-*     ShiftMap               + UnitNormMap(forward)            = UnitNormMap(forward)
-*     WinMap with unit scale + UnitNormMap(forward)            = UnitNormMap(forward)
-*     UnitNormMap(inverted)  + ShiftMap                        = UnitNormMap(inverted)
-*     UnitNormMap(inverted)  + WinMap with unit scale          = UnitNormMap(inverted)
-*     UnitNormMap(forward)   + identical UnitNormMap(inverted) = UnitMap
-*     UnitNormMap(inverted)  + identical UnitNormMap(forward)  = UnitMap
-*     UnitNormMap(forward)   + UnitNormMap(inverted)           = ShiftMap
-*
-*
-*     Notes:
-*     - A UnitMap before or after a UnitNormMap = the UnitNormMap, but UnitMap takes care of that merge.
-*     - The code that checks for ShiftMap + UnitNormMap probably never runs, because ShiftMap is
-*       converted to WinMap during simplification before it gets here.
-
-*  Parameters:
-*     map1
-*        A pointer to the first mapping.
-*     map2
-*        A pointer to the second mapping.
-*     status
-*        Pointer to the inherited status variable.
-
-*  Returned Value:
-*     A pointer to the merged mapping, or NULL if the Mappings cannot be merged
-
-*/
-
-/* Check the global error status. */
-   if( !astOK ) return NULL;
-
-/* Initialise returned mapping */
-   AstMapping *retmap = NULL;
-
-/* Set type to 1=UnitNormMap, 2=ShiftMap, 0=other for both maps */
-   int type1 = GetMappingType( map1, status );
-   int type2 = GetMappingType( map2, status );
-   if( !astOK ) return NULL;
-
-   if( type1 == 0 || type2 == 0 ) return NULL;  /* can only merge with UnitNormMap or ShiftMap */
-
-   if( !(type1 == 1 || type2 == 1) ) return NULL;  /* one must be a UnitNormMap */
-
-   if( type1 == 2 ) {
-      if( astGetInvert( map2 )) return NULL;  /* ShiftMap + UnitNormMap(inverted) not supported */
-
-/* ShiftMap + UnitNormMap(forward) = UnitNormMap(forward) */
-      AstShiftMap *shiftmap = (AstShiftMap *) map1;
-      AstUnitNormMap *unm = (AstUnitNormMap *) map2;
-      int nin = astGetNin( shiftmap );
-      double shiftmult = astGetInvert( shiftmap ) ? -1 : 1;
-      double *newcentre = astMalloc( sizeof(double)*(size_t)nin );
-      if( astOK ) {
-         int coord = 0;
-         for( coord = 0; coord < nin; coord++ ){
-            newcentre[coord] = unm->centre[coord] - shiftmult*shiftmap->shift[coord];
-         }
-         retmap = (AstMapping *) astUnitNormMap( nin, newcentre, "", status );
-         newcentre = astFree( (void *) newcentre );
-      }
-   } else if( type1 == 3 ) {
-      if( astGetInvert( map2 )) return NULL;  /* WinMap + UnitNormMap(inverted) not supported */
-
-/* WinMap with unit scale + UnitNormMap(forward) = UnitNormMap(forward);
-   Do not create a returned Mapping (but do free the newcentre memory) if WinMap
-   does not have unit scale */
-      AstWinMap *winmap = (AstWinMap *) map1;
-      AstUnitNormMap *unm = (AstUnitNormMap *) map2;
-      int nin = astGetNin( winmap );
-      double shiftmult = astGetInvert( winmap ) ? -1 : 1;
-      double *newcentre = astMalloc( sizeof(double)*(size_t)nin );
-      if( astOK ) {
-         int coord = 0;
-         int ok = 1;
-         for( coord = 0; coord < nin; coord++ ){
-            if( !EQUAL( winmap->b[coord], 1.0 )) ok = 0;
-            newcentre[coord] = unm->centre[coord] - shiftmult*winmap->a[coord];
-         }
-         if( ok ) retmap = (AstMapping *) astUnitNormMap( nin, newcentre, "", status );
-         newcentre = astFree( (void *) newcentre );
-      }
-   } else if( type2 == 2 ) {
-      if( !astGetInvert( map1 )) return NULL;  /* UnitNormMap(forward) + ShiftMap not supported */
-
-/* UnitNormMap(inverted) + ShiftMap = UnitNormMap(inverted) */
-      AstShiftMap *shiftmap = (AstShiftMap *) map2;
-      AstUnitNormMap *unm = (AstUnitNormMap *) map1;
-      int nin = astGetNin( shiftmap );
-      double shiftmult = astGetInvert( shiftmap ) ? -1 : 1;
-      double *newcentre = astMalloc( sizeof(double)*(size_t)nin );
-      if( astOK ) {
-         int coord = 0;
-         for( coord = 0; coord < nin; coord++ ){
-            newcentre[coord] = unm->centre[coord] + shiftmult*shiftmap->shift[coord];
-         }
-         retmap = (AstMapping *) astUnitNormMap( nin, newcentre, "Invert=1", status );
-         newcentre = astFree( (void *) newcentre );
-      }
-   } else if( type2 == 3 ) {
-      if( !astGetInvert( map1 )) return NULL;  /* UnitNormMap(forward) + WinMap not supported */
-
-/* UnitNormMap(inverted) + WinMap = UnitNormMap(inverted);
-   Do not create a returned Mapping - but do free the newcentre memory - if WinMap
-   does not have unit scale */
-      AstWinMap *winmap = (AstWinMap *) map2;
-      AstUnitNormMap *unm = (AstUnitNormMap *) map1;
-      int nin = astGetNin( winmap );
-      double shiftmult = astGetInvert( winmap ) ? -1 : 1;
-      double *newcentre = astMalloc( sizeof(double)*(size_t)nin );
-      if( astOK ) {
-         int coord = 0;
-         int ok = 1;
-         for( coord = 0; coord < nin; coord++ ){
-            if( !EQUAL( winmap->b[coord], 1.0 )) ok = 0;
-            newcentre[coord] = unm->centre[coord] + shiftmult*winmap->a[coord];
-         }
-         if( ok ) retmap = (AstMapping *) astUnitNormMap( nin, newcentre, "Invert=1", status );
-         newcentre = astFree( (void *) newcentre );
-      }
-   } else {
-      if( !astGetInvert( map1 ) == !astGetInvert( map2 )) return NULL;  /* UNMs must have opposite dir. */
-
-/* Two UnitNormMaps in opposite directions */
-      AstUnitNormMap *unm1 = (AstUnitNormMap *) map1;
-      AstUnitNormMap *unm2 = (AstUnitNormMap *) map2;
-
-      int ctrlen = MIN( astGetNin( map1 ), astGetNin( map2 ) );
-      int centres_equal = 1;
-      int i = 0;
-      for( i = 0; i < ctrlen; i++ ){
-         if( !EQUAL( unm1->centre[i], unm2->centre[i] )){
-            centres_equal = 0;
-            break;
-         }
-      }
-      if( centres_equal ) {
-
-/* Two UnitNormMap in opposite directions with identical centres = UnitMap */
-         retmap = (AstMapping *) astUnitMap( astGetNin( map1 ), "", status );
-      } else {
-         if( astGetInvert( map2 )) {
-
-/* UnitNormMap(forward) + UnitNormMap(inverted) = ShiftMap */
-            int nin = astGetNin( map1 );
-            double *shift = astMalloc( sizeof(double)*(size_t)nin );
-            if( astOK ) {
-               int coord = 0;
-               for( coord = 0; coord < nin; coord++ ){
-                  shift[coord] = unm2->centre[coord] - unm1->centre[coord];
-               }
-               retmap = (AstMapping *) astShiftMap( nin, shift, "", status );
-               shift = astFree( (void *) shift );
-            }
-         }
-      }
-   }
-
-   return astOK ? retmap : NULL;
-}
-
-static int GetIsLinear( AstMapping *this_mapping, int *status ){
-/*
-*  Name:
-*     GetIsLinear
-
-*  Purpose:
-*     Return the value of the IsLinear attribute for a UnitNormMap.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "mapping.h"
-*     void GetIsLinear( AstMapping *this, int *status )
-
-*  Class Membership:
-*     UnitNormMap member function (over-rides the protected astGetIsLinear
-*     method inherited from the Mapping class).
-
-*  Description:
-*     This function returns the value of the IsLinear attribute for a
-*     Frame, which is always one.
-
-*  Parameters:
-*     this
-*        Pointer to the UnitNormMap.
-*     status
-*        Pointer to the inherited status variable.
-*/
-   return 0;
-}
-
-static int GetObjSize( AstObject *this_object, int *status ) {
-/*
-*  Name:
-*     GetObjSize
-
-*  Purpose:
-*     Return the in-memory size of an Object.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "unitnormmap.h"
-*     int GetObjSize( AstObject *this, int *status )
-
-*  Class Membership:
-*     UnitNormMap member function (over-rides the astGetObjSize protected
-*     method inherited from the parent class).
-
-*  Description:
-*     This function returns the in-memory size of the supplied UnitNormMap,
-*     in bytes.
-
-*  Parameters:
-*     this
-*        Pointer to the UnitNormMap.
-*     status
-*        Pointer to the inherited status variable.
-
-*  Returned Value:
-*     The Object size, in bytes.
-
-*  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.
-*/
-
-/* Initialise. */
-   int result = 0;
-
-/* Check the global error status. */
-   if( !astOK ) return result;
-
-/* Obtain a pointers to the UnitNormMap structure. */
-   AstUnitNormMap *this = (AstUnitNormMap *) this_object;
-
-/* Invoke the GetObjSize method inherited from the parent class, and then
-   add on any components of the class structure defined by thsi class
-   which are stored in dynamically allocated memory. */
-   result = (*parent_getobjsize)( this_object, status );
-   result += astTSizeOf( this->centre );
-
-/* If an error occurred, clear the result value. */
-   if( !astOK ) result = 0;
-
-/* Return the result, */
-   return result;
-}
-
-void astInitUnitNormMapVtab_(  AstUnitNormMapVtab *vtab, const char *name, int *status ) {
-/*
-*+
-*  Name:
-*     astInitUnitNormMapVtab
-
-*  Purpose:
-*     Initialise a virtual function table for a UnitNormMap.
-
-*  Type:
-*     Protected function.
-
-*  Synopsis:
-*     #include "unitnormmap.h"
-*     void astInitUnitNormMapVtab( AstUnitNormMapVtab *vtab, const char *name )
-
-*  Class Membership:
-*     UnitNormMap vtab initialiser.
-
-*  Description:
-*     This function initialises the component of a virtual function
-*     table which is used by the UnitNormMap 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).
-*-
-*/
-
-/* Check the local error status. */
-   if( !astOK ) return;
-
-/* Get a pointer to the thread specific global data structure. */
-   astDECLARE_GLOBALS            /* Pointer to thread-specific global data */
-   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 astIsAUnitNormMap) 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. */
-
-/* Save the inherited pointers to methods that will be extended, and
-   replace them with pointers to the new member functions. */
-   AstObjectVtab *object = (AstObjectVtab *) vtab;
-   AstMappingVtab *mapping = (AstMappingVtab *) vtab;
-   parent_getobjsize = object->GetObjSize;
-   object->GetObjSize = GetObjSize;
-
-   parent_transform = mapping->Transform;
-   mapping->Transform = Transform;
-
-/* Store replacement pointers for methods which will be over-ridden by
-   new member functions implemented here. */
-   mapping->MapMerge = MapMerge;
-   mapping->GetIsLinear = GetIsLinear;
-
-/* Declare the class dump, copy and delete functions.*/
-   astSetDump( vtab, Dump, "UnitNormMap", "Compute unit vector and norm relative to a centre" );
-   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 UnitNormMap.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "mapping.h"
-*     int MapMerge( AstMapping *this, int where, int series, int *nmap,
-*                   AstMapping ***map_list, int **invert_list, int *status )
-
-*  Class Membership:
-*     UnitNormMap 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 UnitNormMap 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 UnitNormMap with a Mapping 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 UnitNormMap which is to be merged with
-*        its neighbours. This should be a cloned copy of the UnitNormMap
-*        pointer contained in the array element "(*map_list)[where]"
-*        (see below). This pointer will not be annulled, and the
-*        UnitNormMap it identifies will not be modified by this function.
-*     where
-*        Index in the "*map_list" array (below) at which the pointer
-*        to the nominated UnitNormMap 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.
-
-*  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.
-*/
-
-/* Initialise. */
-   int result = -1;
-
-/* Check the global error status. */
-   if( !astOK ) return result;
-
-   if( series ) {
-
-/* In series */
-/* Try to merge UnitNormMap with either of its neighbours. */
-      AstMapping *map1 = NULL;    /* The first Mapping to merge */
-      AstMapping *map2 = NULL;    /* The second Mapping to merge */
-      AstMapping *newmap = NULL;  /* The merged Mapping */
-      int i1 = MAX( where - 1, 0 );
-      int i2 = i1 + 1;
-      for( ; i2 < *nmap; i1++, i2++ ){
-         map1 = ( *map_list )[ i1 ];
-         map2 = ( *map_list )[ i2 ];
-         int wasinverted1 = astGetInvert( map1 );
-         int wasinverted2 = astGetInvert( map2 );
-         astSetInvert( map1, ( *invert_list )[ i1 ] );
-         astSetInvert( map2, ( *invert_list )[ i2 ] );
-         newmap = MakeMergedMap( map1, map2, status );
-         astSetInvert( map1, wasinverted1 );
-         astSetInvert( map2, wasinverted2 );
-         if( newmap ) break;
-      }
-
-      if( !newmap ) return -1;
-      if( !astOK ) {
-         astAnnul( newmap );
-         return -1;
-      }
-
-/* Annul the first of the two Mappings, and replace it with the merged Mapping.
-   Also update the invert flag. */
-      (void) astAnnul( map1 );
-      ( *map_list )[ i1 ] = newmap;
-      ( *invert_list )[ i1 ] = astGetInvert( newmap );
-
-/* Annul the second of the two Mappings, and shuffle down the rest of the list to fill the gap. */
-      (void) astAnnul( map2 );
-      int i = 0;
-      for( i = i2 + 1; i < *nmap; i++ ) {
-         ( *map_list )[ i - 1 ] = ( *map_list )[ i ];
-         ( *invert_list )[ i - 1 ] = ( *invert_list )[ i ];
-      }
-
-/* Clear the vacated element 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 = i1;
-
-   } else {
-
-/* In parallel. */
-/* UnitNormMaps cannot combine in parallel with any other Mappings. */
-   }
-
-/* Return the result. */
-   return result;
-}
-
-static AstPointSet *Transform( AstMapping *this, AstPointSet *in,
-                               int forward, AstPointSet *out, int *status ) {
-/*
-*  Name:
-*     Transform
-
-*  Purpose:
-*     Apply a UnitNormMap to transform a set of points.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "unitnormmap.h"
-*     AstPointSet *Transform( AstMapping *this, AstPointSet *in,
-*                             int forward, AstPointSet *out, int *status )
-
-*  Class Membership:
-*     UnitNormMap member function (over-rides the astTransform protected
-*     method inherited from the Mapping class).
-
-*  Description:
-*     This function takes a UnitNormMap and a set of points encapsulated in a
-*     PointSet and transforms the points so as to map them into the
-*     required window.
-
-*  Parameters:
-*     this
-*        Pointer to the UnitNormMap.
-*     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.
-
-*  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 UnitNormMap 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.
-*/
-
-/* Check the global error status. */
-   if( !astOK ) return NULL;
-
-/* Obtain a pointer to the UnitNormMap. */
-   AstUnitNormMap *map = (AstUnitNormMap *) 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. */
-   AstPointSet *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. */
-   int ncoord_in = astGetNcoord( in );
-   int ncoord_out = astGetNcoord( result );
-   int npoint = astGetNpoint(in);
-   double **ptr_in = astGetPoints(in);
-   double **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;
-   }
-
-/* Report an error if the UnitNormMap does not contain a centre. */
-   if( !map->centre && astOK ){
-      const char *class = astGetClass( this );
-      astError( AST__BADSM, "astTransform(%s): The supplied %s does not "
-                "contain any centre information.", status, class, class );
-   }
-
-/* Perform coordinate arithmetic. */
-/* ------------------------------ */
-   if( astOK ){
-
-/* If any centre coordinate is bad then set all outputs bad */
-      int const ncoord_centre = forward ? ncoord_in : ncoord_out;
-      int coord_ctr = 0;
-      for( coord_ctr = 0; coord_ctr < ncoord_centre; coord_ctr++ ){
-         if( (map->centre)[coord_ctr] == AST__BAD ){
-            int coord_out = 0;
-            for( coord_out = 0; coord_out < ncoord_out; coord_out++ ){
-               int point = 0;
-               for( point = 0; point < npoint; point++ ){
-                  ptr_out[point][coord_out] = AST__BAD;
-               }
-            }
-            return result;
-         }
-      }
-
-      if( forward ){
-
-/* Forward transformation: vector to unit vector, norm */
-         int point = 0;
-         for( point = 0; point < npoint; point++ ){
-
-/* Compute max_relin: the maximum absolute input value relative to centre */
-            double max_relin = 0;
-            int coord_in = 0;
-            for( coord_in = 0; coord_in < ncoord_in; coord_in++ ){
-               double in = ptr_in[coord_in][point];
-               if( in == AST__BAD ){
-
-/* An input coord is bad, so all outputs are bad */
-                  int coord_out = 0;
-                  for( coord_out = 0; coord_out < ncoord_out; coord_out++ ){
-                     ptr_out[coord_out][point] = AST__BAD;
-                  }
-                  goto forward_next_point;
-               }
-               double abs_relin = fabs(in - map->centre[coord_in]);
-               if( abs_relin > max_relin ){
-                  max_relin = abs_relin;
-               }
-            }
-
-            if( max_relin == 0 ){
-
-/* The norm is 0, so the unit vector (first nin components of output) is unknown */
-               int coord = 0;
-               for( coord = 0; coord < ncoord_out - 1; coord++ ){
-                  ptr_out[coord][point] = AST__BAD;
-               }
-               ptr_out[ncoord_out - 1][point] = 0;
-               continue;
-            }
-
-/* All is well; compute scaled_sum as the sum of (relin/max_relin)^2 for each input
-   where relin = in - centre (the scaling avoids overflow),
-   then compute norm = max_relin * sqrt(scaled_sum) and set all outputs */
-            double scaled_sum = 0;
-            int coord = 0;
-            for( coord = 0; coord < ncoord_in; coord++ ){
-               double scaled_in = (ptr_in[coord][point] - map->centre[coord])/max_relin;
-               scaled_sum += scaled_in*scaled_in;
-            }
-            double norm = max_relin*sqrt(scaled_sum);
-            for( coord = 0; coord < ncoord_in; coord++ ){
-               ptr_out[coord][point] = (ptr_in[coord][point] - map->centre[coord])/norm;
-            }
-            ptr_out[ncoord_out - 1][point] = norm;
-
-            forward_next_point: ;
-         }
-      } else {
-
-/* Inverse transformation: unit vector, norm -> vector */
-         int point = 0;
-         for( point = 0; point < npoint; point++ ){
-            double norm = ptr_in[ncoord_in-1][point];
-            if( norm == AST__BAD ){
-
-/* Norm is bad for this point; set all output coords bad */
-               int coord = 0;
-               for( coord = 0; coord < ncoord_out; coord++ ){
-                  ptr_out[coord][point] = AST__BAD;
-               }
-            } else if( norm == 0 ){
-
-/* Norm is 0 for this point; set the output to the centre */
-               int coord = 0;
-               for( coord = 0; coord < ncoord_out; coord++ ){
-                  ptr_out[coord][point] = map->centre[coord];
-               }
-            } else {
-               int coord = 0;
-               for( coord = 0; coord < ncoord_out; coord++ ){
-                  double in = ptr_in[coord][point];
-                  if( in == AST__BAD ){
-                     ptr_out[coord][point] = AST__BAD;
-                  } else {
-                     ptr_out[coord][point] = in*norm + map->centre[coord];
-                  }
-               }
-            }
-         }
-      }
-   }
-
-/* 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). */
-
-/* Copy constructor. */
-/* ----------------- */
-static void Copy( const AstObject *objin, AstObject *objout, int *status ) {
-/*
-*  Name:
-*     Copy
-
-*  Purpose:
-*     Copy constructor for UnitNormMap objects.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     void Copy( const AstObject *objin, AstObject *objout, int *status )
-
-*  Description:
-*     This function implements the copy constructor for UnitNormMap objects.
-
-*  Parameters:
-*     objin
-*        Pointer to the UnitNormMap to be copied.
-*     objout
-*        Pointer to the UnitNormMap being constructed.
-*     status
-*        Pointer to the inherited status variable.
-
-*/
-
-/* Local Variables: */
-   AstUnitNormMap *out;              /* Pointer to output UnitNormMap */
-   AstUnitNormMap *in;               /* Pointer to input UnitNormMap */
-   int ncoord;                  /* No. of axes for the mapping */
-
-/* Check the global error status. */
-   if( !astOK ) return;
-
-/* Obtain a pointer to the input and output UnitNormMaps. */
-   in= (AstUnitNormMap *) objin;
-   out = (AstUnitNormMap *) objout;
-
-/* Get the length of the centre array. */
-   ncoord = astGetInvert( in ) ? astGetNout( in ) : astGetNin( in );
-
-/* Allocate memory holding copies of the centre defining the mapping. */
-   out->centre = (double *) astStore( NULL, (void *) in->centre,
-                                      sizeof(double)*(size_t)ncoord );
-
-/* If an error occurred, free any allocated memory. */
-   if( !astOK ) {
-      out->centre = (double *) astFree( (void *) out->centre );
-   }
-
-}
-
-/* Destructor. */
-/* ----------- */
-static void Delete( AstObject *obj, int *status ) {
-/*
-*  Name:
-*     Delete
-
-*  Purpose:
-*     Destructor for UnitNormMap objects.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     void Delete( AstObject *obj, int *status )
-
-*  Description:
-*     This function implements the destructor for UnitNormMap objects.
-
-*  Parameters:
-*     obj
-*        Pointer to the UnitNormMap to be deleted.
-*     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.
-*/
-
-/* Local Variables: */
-   AstUnitNormMap *this;              /* Pointer to UnitNormMap */
-
-/* Obtain a pointer to the UnitNormMap structure. */
-   this = (AstUnitNormMap *) obj;
-
-/* Free the memory holding the centre. */
-   this->centre = (double *) astFree( (void *) this->centre );
-
-}
-
-/* Dump function. */
-/* -------------- */
-static void Dump( AstObject *this_object, AstChannel *channel, int *status ) {
-/*
-*  Name:
-*     Dump
-
-*  Purpose:
-*     Dump function for UnitNormMap objects.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     void Dump( AstObject *this, AstChannel *channel, int *status )
-
-*  Description:
-*     This function implements the Dump function which writes out data
-*     for the UnitNormMap class to an output Channel.
-
-*  Parameters:
-*     this
-*        Pointer to the UnitNormMap whose data are being written.
-*     channel
-*        Pointer to the Channel to which the data are being written.
-*     status
-*        Pointer to the inherited status variable.
-*/
-
-/* Local Constants: */
-#define COMMENT_LEN 50           /* Maximum length of a comment string */
-#define KEY_LEN 50               /* Maximum length of a keyword */
-
-/* Local Variables: */
-   char buff[ KEY_LEN + 1 ];        /* Buffer for keyword string */
-   char comment[ COMMENT_LEN + 1 ]; /* Buffer for comment string */
-
-/* Check the global error status. */
-   if( !astOK ) return;
-
-/* Obtain a pointer to the UnitNormMap structure. */
-   AstUnitNormMap *this = (AstUnitNormMap *) this_object;
-
-/* Get the length of the centre array. */
-   int ncoord = astGetInvert( this ) ? astGetNout( this ) : astGetNin( this );
-
-/* Write out values representing the instance variables for the
-   UnitNormMap class.  Accompany these with appropriate comment strings,
-   possibly depending on the values being written.*/
-
-/* The centre. */
-   int axis = 0;
-   for( axis = 0; axis < ncoord; axis++ ){
-      (void) sprintf( buff, "Ctr%d", axis + 1 );
-      (void) sprintf( comment, "Centre for axis %d", axis + 1 );
-      astWriteDouble( channel, buff, (this->centre)[ axis ] != 0.0, 0,
-                      (this->centre)[ axis ], comment );
-   }
-
-/* Undefine macros local to this function. */
-#undef COMMENT_LEN
-#undef KEY_LEN
-}
-
-/* Standard class functions. */
-/* ========================= */
-/* Implement the astIsAUnitNormMap and astCheckUnitNormMap functions using the macros
-   defined for this purpose in the "object.h" header file. */
-astMAKE_ISA(UnitNormMap,Mapping)
-astMAKE_CHECK(UnitNormMap)
-
-AstUnitNormMap *astUnitNormMap_( int ncoord, const double centre[], const char *options, int *status, ...) {
-/*
-*++
-*  Name:
-c     astUnitNormMap
-f     AST_UNITNORMMAP
-
-*  Purpose:
-*     Create a UnitNormMap.
-
-*  Type:
-*     Public function.
-
-*  Synopsis:
-c     #include "unitnormmap.h"
-c     AstUnitNormMap *astUnitNormMap( int ncoord, const double centre[],
-c                               const char *options, ... )
-f     RESULT = AST_UNITNORMMAP( NCOORD, CENTRE, OPTIONS, STATUS )
-
-*  Class Membership:
-*     UnitNormMap constructor.
-
-*  Description:
-*     This function creates a new UnitNormMap and optionally initialises its
-*     attributes.
-*
-*     The forward transformation of a UnitNormMap subtracts the specified centre
-*     and then transforms the resulting vector to a unit vector and the vector norm.
-*     The output contains one more coordinate than the input: the initial
-*     Nin outputs are in the same order as the input; the final output is the norm.
-*     If the norm is 0, then the output of the forward transformation is AST__BAD
-*     for each component of the unit vector and 0 for the norm (the final value).
-*
-*     The inverse transformation of a UnitNormMap multiplies each component
-*     of the provided vector by the provided norm and adds the specified centre.
-*     The output contains one fewer coordinate than the input: the initial Nin inputs
-*     are in the same order as the output; the final input is the norm.
-*     If the provided norm is 0 then the other input values are ignored,
-*     and the output vector is the centre.
-*
-*     Example: if centre = [1, -1] then [5, 2] transforms to [4, 3] after subtracting the centre;
-*     the norm is 5, so the output is [0.8, 0.6, 5].
-*
-*     UnitNormMap enables radially symmetric transformations, as follows:
-*     - apply a UnitNormMap to produce a unit vector and norm (radius)
-*     - apply a one-dimensional mapping to the norm (radius), while passing the unit vector unchanged
-*     - apply the same UnitNormMap in the inverse direction to produce the result
-
-*  Parameters:
-c     ncoord
-f     NCOORD = INTEGER (Given)
-*        The number of coordinate values for each point to be
-*        transformed (i.e. the number of dimensions of the space in
-*        which the points will reside). Output will include one additional coordinate.
-c     centre
-f     CENTRE( NCOORD ) = DOUBLE PRECISION (Given)
-*        An array containing the values to be subtracted from the input
-*        coordinates before computing unit vector and norm. A separate
-*        value must be supplied for each coordinate.
-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 UnitNormMap. 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 UnitNormMap. 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     astUnitNormMap()
-f     AST_UNITNORMMAP = INTEGER
-*        A pointer to the new UnitNormMap.
-
-*  Notes:
-*     - 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".
-
-*--
-*/
-
-/* Get a pointer to the thread specific global data structure. */
-   astDECLARE_GLOBALS            /* Pointer to thread-specific global data */
-   astGET_GLOBALS(NULL);
-
-/* Check the global status. */
-   if( !astOK ) return NULL;
-
-/* Initialise the UnitNormMap, allocating memory and initialising the
-   virtual function table as well if necessary. */
-   AstUnitNormMap *new = astInitUnitNormMap( NULL, sizeof( AstUnitNormMap ), !class_init, &class_vtab,
-                        "UnitNormMap", ncoord, centre );
-
-/* 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 UnitNormMap's attributes. */
-      va_list args;
-      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 UnitNormMap. */
-   return new;
-}
-
-AstUnitNormMap *astUnitNormMapId_( int ncoord, const double centre[],
-                             const char *options, ... ) {
-/*
-*  Name:
-*     astUnitNormMapId_
-
-*  Purpose:
-*     Create a UnitNormMap.
-
-*  Type:
-*     Private function.
-
-*  Synopsis:
-*     #include "unitnormmap.h"
-*     AstUnitNormMap *astUnitNormMapId_( int ncoord, const double centre[],
-*                                  const char *options, ... )
-
-*  Class Membership:
-*     UnitNormMap constructor.
-
-*  Description:
-*     This function implements the external (public) interface to the
-*     astUnitNormMap constructor function. It returns an ID value (instead
-*     of a true C pointer) to external users, and must be provided
-*     because astUnitNormMap_ 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 astUnitNormMap_ 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 astUnitNormMap_.
-
-*  Returned Value:
-*     The ID value associated with the new UnitNormMap.
-*/
-
-   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. */
-   astDECLARE_GLOBALS            /* Pointer to thread-specific global data */
-   astGET_GLOBALS(NULL);
-
-/* Check the global status. */
-   if( !astOK ) return NULL;
-
-/* Initialise the UnitNormMap, allocating memory and initialising the
-   virtual function table as well if necessary. */
-   AstUnitNormMap *new = astInitUnitNormMap( NULL, sizeof( AstUnitNormMap ), !class_init, &class_vtab,
-                          "UnitNormMap", ncoord, centre );
-
-/* 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 UnitNormMap's attributes. */
-      va_list args;                /* Variable argument list */
-      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 UnitNormMap. */
-   return astMakeId( new );
-}
-
-AstUnitNormMap *astInitUnitNormMap_( void *mem, size_t size, int init,
-                              AstUnitNormMapVtab *vtab, const char *name,
-                              int ncoord, const double *centre, int *status ) {
-/*
-*+
-*  Name:
-*     astInitUnitNormMap
-
-*  Purpose:
-*     Initialise a UnitNormMap.
-
-*  Type:
-*     Protected function.
-
-*  Synopsis:
-*     #include "unitnormmap.h"
-*     AstUnitNormMap *astInitUnitNormMap( void *mem, size_t size, int init,
-*                                   AstUnitNormMapVtab *vtab, const char *name,
-*                                   int ncoord, const double *centre )
-
-*  Class Membership:
-*     UnitNormMap initialiser.
-
-*  Description:
-*     This function is provided for use by class implementations to initialise
-*     a new UnitNormMap object. It allocates memory (if necessary) to accommodate
-*     the UnitNormMap plus any additional data associated with the derived class.
-*     It then initialises a UnitNormMap 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 UnitNormMap at the start of the memory passed via the
-*     "vtab" parameter.
-
-*  Parameters:
-*     mem
-*        A pointer to the memory in which the UnitNormMap is to be initialised.
-*        This must be of sufficient size to accommodate the UnitNormMap data
-*        (sizeof(UnitNormMap)) 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 UnitNormMap (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 UnitNormMap
-*        structure, so a valid value must be supplied even if not required for
-*        allocating memory.
-*     init
-*        A logical flag indicating if the UnitNormMap'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 UnitNormMap.
-*     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).
-*     ncoord
-*        The number of coordinate values per point.
-*     centre
-*        Pointer to an array of centres, one for each coordinate.
-
-*  Returned Value:
-*     A pointer to the new UnitNormMap.
-
-*  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: */
-   AstUnitNormMap *new;            /* Pointer to new UnitNormMap */
-
-/* Check the global status. */
-   if( !astOK ) return NULL;
-
-/* Check centre */
-   if( ncoord <= 0 ){
-      astError( AST__BADSM, "The centre must have at least one axis", status );
-      return NULL;
-   }
-
-/* If necessary, initialise the virtual function table. */
-   if( init ) astInitUnitNormMapVtab( vtab, name );
-
-/* Initialise. */
-   new = NULL;
-
-/* Initialise a Mapping structure (the parent class) as the first component
-   within the UnitNormMap structure, allocating memory if necessary. Specify that
-   the Mapping should be defined in both the forward and inverse directions. */
-   new = (AstUnitNormMap *) astInitMapping( mem, size, 0,
-                                         (AstMappingVtab *) vtab, name,
-                                         ncoord, ncoord+1, 1, 1 );
-
-   if( astOK ) {
-
-/* Initialise the UnitNormMap data. */
-/* ---------------------------- */
-/* Allocate memory to hold the centre for each axis. */
-      new->centre = (double *) astMalloc( sizeof(double)*(size_t)ncoord );
-
-/* Check the pointers can be used */
-      if( astOK ){
-
-/* Store the centre for each axis. */
-         int axis = 0;
-         for( axis = 0; axis < ncoord; axis++ ){
-            (new->centre)[ axis ] = centre ? centre[ axis ] : AST__BAD;
-         }
-
-      }
-
-/* If an error occurred, clean up by deleting the new UnitNormMap. */
-      if( !astOK ) new = astDelete( new );
-   }
-
-/* Return a pointer to the new UnitNormMap. */
-   return new;
-}
-
-AstUnitNormMap *astLoadUnitNormMap_( void *mem, size_t size,
-                               AstUnitNormMapVtab *vtab, const char *name,
-                               AstChannel *channel, int *status ) {
-/*
-*+
-*  Name:
-*     astLoadUnitNormMap
-
-*  Purpose:
-*     Load a UnitNormMap.
-
-*  Type:
-*     Protected function.
-
-*  Synopsis:
-*     #include "unitnormmap.h"
-*     AstUnitNormMap *astLoadUnitNormMap( void *mem, size_t size,
-*                                   AstUnitNormMapVtab *vtab, const char *name,
-*                                   AstChannel *channel )
-
-*  Class Membership:
-*     UnitNormMap loader.
-
-*  Description:
-*     This function is provided to load a new UnitNormMap 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
-*     UnitNormMap 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 UnitNormMap at the start of the memory
-*     passed via the "vtab" parameter.
-
-
-*  Parameters:
-*     mem
-*        A pointer to the memory into which the UnitNormMap is to be
-*        loaded.  This must be of sufficient size to accommodate the
-*        UnitNormMap data (sizeof(UnitNormMap)) 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 UnitNormMap (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 UnitNormMap 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(AstUnitNormMap) is used instead.
-*     vtab
-*        Pointer to the start of the virtual function table to be
-*        associated with the new UnitNormMap. If this is NULL, a pointer
-*        to the (static) virtual function table for the UnitNormMap 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 "UnitNormMap" is used instead.
-
-*  Returned Value:
-*     A pointer to the new UnitNormMap.
-
-*  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 Constants. */
-#define KEY_LEN 50               /* Maximum length of a keyword */
-
-/* Local Variables: */
-   char buff[ KEY_LEN + 1 ];     /* Buffer for keyword string */
-   int axis;                     /* Axis index */
-   int ncoord;                   /* Length of the centre array */
-
-/* Get a pointer to the thread specific global data structure. */
-   astDECLARE_GLOBALS            /* Pointer to thread-specific global data */
-   astGET_GLOBALS(channel);
-
-/* Initialise. */
-   AstUnitNormMap *new = NULL;
-
-/* Check the global error status. */
-   if( !astOK ) return new;
-
-/* If a NULL virtual function table has been supplied, then this is
-   the first loader to be invoked for this UnitNormMap. In this case the
-   UnitNormMap belongs to this class, so supply appropriate values to be
-   passed to the parent class loader (and its parent, etc.). */
-   if( !vtab ) {
-      size = sizeof( AstUnitNormMap );
-      vtab = &class_vtab;
-      name = "UnitNormMap";
-
-/* If required, initialise the virtual function table for this class. */
-      if( !class_init ) {
-         astInitUnitNormMapVtab( 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 UnitNormMap. */
-   new = astLoadMapping( mem, size, (AstMappingVtab *) vtab, name,
-                         channel );
-
-/* Get the length of the centre array = the number of inputs in the 
-   forward direction. */
-   ncoord = 0;
-   if ( astGetInvert( (AstMapping *) new ) ){
-      ncoord = astGetNout( (AstMapping *) new );
-   } else {
-      ncoord = astGetNin( (AstMapping *) new );
-   }
-   if( ncoord <= 0 && astOK ){
-      astError( AST__LDERR, "The UnitNormMap has %d axes - it must have at least one.", 
-                status, ncoord );
-      return NULL;
-   }
-
-/* Allocate memory to hold the centre. */
-   new->centre = (double *) astMalloc( sizeof(double)*(size_t)ncoord );
-
-/* Read input data. */
-/* ================ */
-/* Request the input Channel to read all the input data appropriate to
-   this class into the internal "values list". */
-   if( astOK ) {
-      astReadClassData( channel, "UnitNormMap" );
-
-/* Now read each individual data item from this list and use it to
-   initialise the appropriate instance variable(s) for this class. */
-
-/* The centre. */
-      for( axis = 0; axis < ncoord; axis++ ){
-         (void) sprintf( buff, "ctr%d", axis + 1 );
-         (new->centre)[ axis ] = astReadDouble( channel, buff, 0.0 );
-      }
-   }
-
-/* If an error occurred, clean up by deleting the new UnitNormMap. */
-   if( !astOK ) new = astDelete( new );
-
-/* Return the new UnitNormMap pointer. */
-   return new;
-
-/* Undefine macros local to this function. */
-#undef KEY_LEN
-}
-
-/* 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. */