WCSLIB 4.17: tab.h Source File

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# tab.h

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    00001 /*============================================================================
    00002
    00003   WCSLIB 4.17 - an implementation of the FITS WCS standard.
    00004   Copyright (C) 1995-2013, Mark Calabretta
    00005
    00006   This file is part of WCSLIB.
    00007
    00008   WCSLIB is free software: you can redistribute it and/or modify it under the
    00009   terms of the GNU Lesser General Public License as published by the Free
    00010   Software Foundation, either version 3 of the License, or (at your option)
    00011   any later version.
    00012
    00013   WCSLIB is distributed in the hope that it will be useful, but WITHOUT ANY
    00014   WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
    00015   FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public License for
    00016   more details.
    00017
    00018   You should have received a copy of the GNU Lesser General Public License
    00019   along with WCSLIB.  If not, see http://www.gnu.org/licenses.
    00020
    00021   Direct correspondence concerning WCSLIB to mark@calabretta.id.au
    00022
    00023   Author: Mark Calabretta, Australia Telescope National Facility, CSIRO.
    00024   http://www.atnf.csiro.au/people/Mark.Calabretta
    00025   $Id: tab.h,v 4.17 2013/01/29 05:29:20 cal103 Exp $
    00026 *=============================================================================
    00027 *
    00028 * WCSLIB 4.17 - C routines that implement tabular coordinate systems as
    00029 * defined by the FITS World Coordinate System (WCS) standard.  Refer to
    00030 *
    00031 *   "Representations of world coordinates in FITS",
    00032 *   Greisen, E.W., & Calabretta, M.R. 2002, A&A, 395, 1061 (paper I)
    00033 *
    00034 *   "Representations of spectral coordinates in FITS",
    00035 *   Greisen, E.W., Calabretta, M.R., Valdes, F.G., & Allen, S.L.
    00036 *   2006, A&A, 446, 747 (Paper III)
    00037 *
    00038 * Refer to the README file provided with WCSLIB for an overview of the
    00039 * library.
    00040 *
    00041 *
    00042 * Summary of the tab routines
    00043 * ---------------------------
    00044 * These routines implement the part of the FITS WCS standard that deals with
    00045 * tabular coordinates, i.e. coordinates that are defined via a lookup table.
    00046 * They define methods to be used for computing tabular world coordinates from
    00047 * intermediate world coordinates (a linear transformation of image pixel
    00048 * coordinates), and vice versa.  They are based on the tabprm struct which
    00049 * contains all information needed for the computations.  The struct contains
    00050 * some members that must be set by the user, and others that are maintained
    00051 * by these routines, somewhat like a C++ class but with no encapsulation.
    00052 *
    00053 * tabini(), tabmem(), tabcpy(), and tabfree() are provided to manage the
    00054 * tabprm struct, and another, tabprt(), to print its contents.
    00055 *
    00056 * A setup routine, tabset(), computes intermediate values in the tabprm struct
    00057 * from parameters in it that were supplied by the user.  The struct always
    00058 * needs to be set up by tabset() but it need not be called explicitly - refer
    00059 * to the explanation of tabprm::flag.
    00060 *
    00061 * tabx2s() and tabs2x() implement the WCS tabular coordinate transformations.
    00062 *
    00063 * Accuracy:
    00064 * ---------
    00065 * No warranty is given for the accuracy of these routines (refer to the
    00066 * copyright notice); intending users must satisfy for themselves their
    00067 * adequacy for the intended purpose.  However, closure effectively to within
    00068 * double precision rounding error was demonstrated by test routine ttab.c
    00069 * which accompanies this software.
    00070 *
    00071 *
    00072 * tabini() - Default constructor for the tabprm struct
    00073 * ----------------------------------------------------
    00074 * tabini() allocates memory for arrays in a tabprm struct and sets all members
    00075 * of the struct to default values.
    00076 *
    00077 * PLEASE NOTE: every tabprm struct should be initialized by tabini(), possibly
    00078 * repeatedly.  On the first invokation, and only the first invokation, the
    00079 * flag member of the tabprm struct must be set to -1 to initialize memory
    00080 * management, regardless of whether tabini() will actually be used to allocate
    00081 * memory.
    00082 *
    00083 * Given:
    00084 *   alloc     int       If true, allocate memory unconditionally for arrays in
    00085 *                       the tabprm struct.
    00086 *
    00087 *                       If false, it is assumed that pointers to these arrays
    00088 *                       have been set by the user except if they are null
    00089 *                       pointers in which case memory will be allocated for
    00090 *                       them regardless.  (In other words, setting alloc true
    00091 *                       saves having to initalize these pointers to zero.)
    00092 *
    00093 *   M         int       The number of tabular coordinate axes.
    00094 *
    00095 *   K         const int[]
    00096 *                       Vector of length M whose elements (K_1, K_2,... K_M)
    00097 *                       record the lengths of the axes of the coordinate array
    00098 *                       and of each indexing vector.  M and K[] are used to
    00099 *                       determine the length of the various tabprm arrays and
    00100 *                       therefore the amount of memory to allocate for them.
    00101 *                       Their values are copied into the tabprm struct.
    00102 *
    00103 *                       It is permissible to set K (i.e. the address of the
    00104 *                       array) to zero which has the same effect as setting
    00105 *                       each element of K[] to zero.  In this case no memory
    00106 *                       will be allocated for the index vectors or coordinate
    00107 *                       array in the tabprm struct.  These together with the
    00108 *                       K vector must be set separately before calling
    00109 *                       tabset().
    00110 *
    00111 * Given and returned:
    00112 *   tab       struct tabprm*
    00113 *                       Tabular transformation parameters.  Note that, in
    00114 *                       order to initialize memory management tabprm::flag
    00115 *                       should be set to -1 when tab is initialized for the
    00116 *                       first time (memory leaks may result if it had already
    00117 *                       been initialized).
    00118 *
    00119 * Function return value:
    00120 *             int       Status return value:
    00121 *                         0: Success.
    00122 *                         1: Null tabprm pointer passed.
    00123 *                         2: Memory allocation failed.
    00124 *                         3: Invalid tabular parameters.
    00125 *
    00126 *                       For returns > 1, a detailed error message is set in
    00127 *                       tabprm::err if enabled, see wcserr_enable().
    00128 *
    00129 *
    00130 * tabmem() - Acquire tabular memory
    00131 * ---------------------------------
    00132 * tabmem() takes control of memory allocated by the user for arrays in the
    00133 * tabprm struct.
    00134 *
    00135 * Given and returned:
    00136 *   tab       struct tabprm*
    00137 *                       Tabular transformation parameters.
    00138 *
    00139 * Function return value:
    00140 *             int       Status return value:
    00141 *                         0: Success.
    00142 *                         1: Null tabprm pointer passed.
    00143 *                         2: Memory allocation failed.
    00144 *
    00145 *                       For returns > 1, a detailed error message is set in
    00146 *                       tabprm::err if enabled, see wcserr_enable().
    00147 *
    00148 *
    00149 * tabcpy() - Copy routine for the tabprm struct
    00150 * ---------------------------------------------
    00151 * tabcpy() does a deep copy of one tabprm struct to another, using tabini() to
    00152 * allocate memory for its arrays if required.  Only the "information to be
    00153 * provided" part of the struct is copied; a call to tabset() is required to
    00154 * set up the remainder.
    00155 *
    00156 * Given:
    00157 *   alloc     int       If true, allocate memory unconditionally for arrays in
    00158 *                       the tabprm struct.
    00159 *
    00160 *                       If false, it is assumed that pointers to these arrays
    00161 *                       have been set by the user except if they are null
    00162 *                       pointers in which case memory will be allocated for
    00163 *                       them regardless.  (In other words, setting alloc true
    00164 *                       saves having to initalize these pointers to zero.)
    00165 *
    00166 *   tabsrc    const struct tabprm*
    00167 *                       Struct to copy from.
    00168 *
    00169 * Given and returned:
    00170 *   tabdst    struct tabprm*
    00171 *                       Struct to copy to.  tabprm::flag should be set to -1
    00172 *                       if tabdst was not previously initialized (memory leaks
    00173 *                       may result if it was previously initialized).
    00174 *
    00175 * Function return value:
    00176 *             int       Status return value:
    00177 *                         0: Success.
    00178 *                         1: Null tabprm pointer passed.
    00179 *                         2: Memory allocation failed.
    00180 *
    00181 *                       For returns > 1, a detailed error message is set in
    00182 *                       tabprm::err (associated with tabdst) if enabled, see
    00183 *                       wcserr_enable().
    00184 *
    00185 *
    00186 * tabfree() - Destructor for the tabprm struct
    00187 * --------------------------------------------
    00188 * tabfree() frees memory allocated for the tabprm arrays by tabini().
    00189 * tabini() records the memory it allocates and tabfree() will only attempt to
    00190 * free this.
    00191 *
    00192 * PLEASE NOTE: tabfree() must not be invoked on a tabprm struct that was not
    00193 * initialized by tabini().
    00194 *
    00195 * Returned:
    00196 *   tab       struct tabprm*
    00197 *                       Coordinate transformation parameters.
    00198 *
    00199 * Function return value:
    00200 *             int       Status return value:
    00201 *                         0: Success.
    00202 *                         1: Null tabprm pointer passed.
    00203 *
    00204 *
    00205 * tabprt() - Print routine for the tabprm struct
    00206 * ----------------------------------------------
    00207 * tabprt() prints the contents of a tabprm struct using wcsprintf().  Mainly
    00208 * intended for diagnostic purposes.
    00209 *
    00210 * Given:
    00211 *   tab       const struct tabprm*
    00212 *                       Tabular transformation parameters.
    00213 *
    00214 * Function return value:
    00215 *             int       Status return value:
    00216 *                         0: Success.
    00217 *                         1: Null tabprm pointer passed.
    00218 *
    00219 *
    00220 * tabset() - Setup routine for the tabprm struct
    00221 * -----------------------------------------------
    00222 * tabset() allocates memory for work arrays in the tabprm struct and sets up
    00223 * the struct according to information supplied within it.
    00224 *
    00225 * Note that this routine need not be called directly; it will be invoked by
    00226 * tabx2s() and tabs2x() if tabprm::flag is anything other than a predefined
    00227 * magic value.
    00228 *
    00229 * Given and returned:
    00230 *   tab       struct tabprm*
    00231 *                       Tabular transformation parameters.
    00232 *
    00233 * Function return value:
    00234 *             int       Status return value:
    00235 *                         0: Success.
    00236 *                         1: Null tabprm pointer passed.
    00237 *                         3: Invalid tabular parameters.
    00238 *
    00239 *                       For returns > 1, a detailed error message is set in
    00240 *                       tabprm::err if enabled, see wcserr_enable().
    00241 *
    00242 *
    00243 * tabx2s() - Pixel-to-world transformation
    00244 * ----------------------------------------
    00245 * tabx2s() transforms intermediate world coordinates to world coordinates
    00246 * using coordinate lookup.
    00247 *
    00248 * Given and returned:
    00249 *   tab       struct tabprm*
    00250 *                       Tabular transformation parameters.
    00251 *
    00252 * Given:
    00253 *   ncoord,
    00254 *   nelem     int       The number of coordinates, each of vector length
    00255 *                       nelem.
    00256 *
    00257 *   x         const double[ncoord][nelem]
    00258 *                       Array of intermediate world coordinates, SI units.
    00259 *
    00260 * Returned:
    00261 *   world     double[ncoord][nelem]
    00262 *                       Array of world coordinates, in SI units.
    00263 *
    00264 *   stat      int[ncoord]
    00265 *                       Status return value status for each coordinate:
    00266 *                         0: Success.
    00267 *                         1: Invalid intermediate world coordinate.
    00268 *
    00269 * Function return value:
    00270 *             int       Status return value:
    00271 *                         0: Success.
    00272 *                         1: Null tabprm pointer passed.
    00273 *                         3: Invalid tabular parameters.
    00274 *                         4: One or more of the x coordinates were invalid,
    00275 *                            as indicated by the stat vector.
    00276 *
    00277 *                       For returns > 1, a detailed error message is set in
    00278 *                       tabprm::err if enabled, see wcserr_enable().
    00279 *
    00280 *
    00281 * tabs2x() - World-to-pixel transformation
    00282 * ----------------------------------------
    00283 * tabs2x() transforms world coordinates to intermediate world coordinates.
    00284 *
    00285 * Given and returned:
    00286 *   tab       struct tabprm*
    00287 *                       Tabular transformation parameters.
    00288 *
    00289 * Given:
    00290 *   ncoord,
    00291 *   nelem     int       The number of coordinates, each of vector length
    00292 *                       nelem.
    00293 *   world     const double[ncoord][nelem]
    00294 *                       Array of world coordinates, in SI units.
    00295 *
    00296 * Returned:
    00297 *   x         double[ncoord][nelem]
    00298 *                       Array of intermediate world coordinates, SI units.
    00299 *   stat      int[ncoord]
    00300 *                       Status return value status for each vector element:
    00301 *                         0: Success.
    00302 *                         1: Invalid world coordinate.
    00303 *
    00304 * Function return value:
    00305 *             int       Status return value:
    00306 *                         0: Success.
    00307 *                         1: Null tabprm pointer passed.
    00308 *                         3: Invalid tabular parameters.
    00309 *                         5: One or more of the world coordinates were
    00310 *                            invalid, as indicated by the stat vector.
    00311 *
    00312 *                       For returns > 1, a detailed error message is set in
    00313 *                       tabprm::err if enabled, see wcserr_enable().
    00314 *
    00315 *
    00316 * tabprm struct - Tabular transformation parameters
    00317 * -------------------------------------------------
    00318 * The tabprm struct contains information required to transform tabular
    00319 * coordinates.  It consists of certain members that must be set by the user
    00320 * ("given") and others that are set by the WCSLIB routines ("returned").  Some
    00321 * of the latter are supplied for informational purposes while others are for
    00322 * internal use only.
    00323 *
    00324 *   int flag
    00325 *     (Given and returned) This flag must be set to zero whenever any of the
    00326 *     following tabprm structure members are set or changed:
    00327 *
    00328 *       - tabprm::M (q.v., not normally set by the user),
    00329 *       - tabprm::K (q.v., not normally set by the user),
    00330 *       - tabprm::map,
    00331 *       - tabprm::crval,
    00332 *       - tabprm::index,
    00333 *       - tabprm::coord.
    00334 *
    00335 *     This signals the initialization routine, tabset(), to recompute the
    00336 *     returned members of the tabprm struct.  tabset() will reset flag to
    00337 *     indicate that this has been done.
    00338 *
    00339 *     PLEASE NOTE: flag should be set to -1 when tabini() is called for the
    00340 *     first time for a particular tabprm struct in order to initialize memory
    00341 *     management.  It must ONLY be used on the first initialization otherwise
    00342 *     memory leaks may result.
    00343 *
    00344 *   int M
    00345 *     (Given or returned) Number of tabular coordinate axes.
    00346 *
    00347 *     If tabini() is used to initialize the linprm struct (as would normally
    00348 *     be the case) then it will set M from the value passed to it as a
    00349 *     function argument.  The user should not subsequently modify it.
    00350 *
    00351 *   int *K
    00352 *     (Given or returned) Pointer to the first element of a vector of length
    00353 *     tabprm::M whose elements (K_1, K_2,... K_M) record the lengths of the
    00354 *     axes of the coordinate array and of each indexing vector.
    00355 *
    00356 *     If tabini() is used to initialize the linprm struct (as would normally
    00357 *     be the case) then it will set K from the array passed to it as a
    00358 *     function argument.  The user should not subsequently modify it.
    00359 *
    00360 *   int *map
    00361 *     (Given) Pointer to the first element of a vector of length tabprm::M
    00362 *     that defines the association between axis m in the M-dimensional
    00363 *     coordinate array (1 <= m <= M) and the indices of the intermediate world
    00364 *     coordinate and world coordinate arrays, x[] and world[], in the argument
    00365 *     lists for tabx2s() and tabs2x().
    00366 *
    00367 *     When x[] and world[] contain the full complement of coordinate elements
    00368 *     in image-order, as will usually be the case, then map[m-1] == i-1 for
    00369 *     axis i in the N-dimensional image (1 <= i <= N).  In terms of the FITS
    00370 *     keywords
    00371 *
    00372 *       map[PVi_3a - 1] == i - 1.
    00373 *
    00374 *     However, a different association may result if x[], for example, only
    00375 *     contains a (relevant) subset of intermediate world coordinate elements.
    00376 *     For example, if M == 1 for an image with N > 1, it is possible to fill
    00377 *     x[] with the relevant coordinate element with nelem set to 1.  In this
    00378 *     case map[0] = 0 regardless of the value of i.
    00379 *
    00380 *   double *crval
    00381 *     (Given) Pointer to the first element of a vector of length tabprm::M
    00382 *     whose elements contain the index value for the reference pixel for each
    00383 *     of the tabular coordinate axes.
    00384 *
    00385 *   double **index
    00386 *     (Given) Pointer to the first element of a vector of length tabprm::M of
    00387 *     pointers to vectors of lengths (K_1, K_2,... K_M) of 0-relative indexes
    00388 *     (see tabprm::K).
    00389 *
    00390 *     The address of any or all of these index vectors may be set to zero,
    00391 *     i.e.
    00392 *
    00393 =       index[m] == 0;
    00394 *
    00395 *     this is interpreted as default indexing, i.e.
    00396 *
    00397 =       index[m][k] = k;
    00398 *
    00399 *   double *coord
    00400 *     (Given) Pointer to the first element of the tabular coordinate array,
    00401 *     treated as though it were defined as
    00402 *
    00403 =       double coord[K_M]...[K_2][K_1][M];
    00404 *
    00405 *     (see tabprm::K) i.e. with the M dimension varying fastest so that the
    00406 *     M elements of a coordinate vector are stored contiguously in memory.
    00407 *
    00408 *   int nc
    00409 *     (Returned) Total number of coordinate vectors in the coordinate array
    00410 *     being the product K_1 * K_2 * ... * K_M (see tabprm::K).
    00411 *
    00412 *   int padding
    00413 *     (An unused variable inserted for alignment purposes only.)
    00414 *
    00415 *   int *sense
    00416 *     (Returned) Pointer to the first element of a vector of length tabprm::M
    00417 *     whose elements indicate whether the corresponding indexing vector is
    00418 *     monotonic increasing (+1), or decreasing (-1).
    00419 *
    00420 *   int *p0
    00421 *     (Returned) Pointer to the first element of a vector of length tabprm::M
    00422 *     of interpolated indices into the coordinate array such that Upsilon_m,
    00423 *     as defined in Paper III, is equal to (p0[m] + 1) + tabprm::delta[m].
    00424 *
    00425 *   double *delta
    00426 *     (Returned) Pointer to the first element of a vector of length tabprm::M
    00427 *     of interpolated indices into the coordinate array such that Upsilon_m,
    00428 *     as defined in Paper III, is equal to (tabprm::p0[m] + 1) + delta[m].
    00429 *
    00430 *   double *extrema
    00431 *     (Returned) Pointer to the first element of an array that records the
    00432 *     minimum and maximum value of each element of the coordinate vector in
    00433 *     each row of the coordinate array, treated as though it were defined as
    00434 *
    00435 =       double extrema[K_M]...[K_2][2][M]
    00436 *
    00437 *     (see tabprm::K).  The minimum is recorded in the first element of the
    00438 *     compressed K_1 dimension, then the maximum.  This array is used by the
    00439 *     inverse table lookup function, tabs2x(), to speed up table searches.
    00440 *
    00441 *   struct wcserr *err
    00442 *     (Returned) If enabled, when an error status is returned this struct
    00443 *     contains detailed information about the error, see wcserr_enable().
    00444 *
    00445 *   int m_flag
    00446 *     (For internal use only.)
    00447 *   int m_M
    00448 *     (For internal use only.)
    00449 *   int m_N
    00450 *     (For internal use only.)
    00451 *   int set_M
    00452 *     (For internal use only.)
    00453 *   int m_K
    00454 *     (For internal use only.)
    00455 *   int m_map
    00456 *     (For internal use only.)
    00457 *   int m_crval
    00458 *     (For internal use only.)
    00459 *   int m_index
    00460 *     (For internal use only.)
    00461 *   int m_indxs
    00462 *     (For internal use only.)
    00463 *   int m_coord
    00464 *     (For internal use only.)
    00465 *
    00466 *
    00467 * Global variable: const char *tab_errmsg[] - Status return messages
    00468 * ------------------------------------------------------------------
    00469 * Error messages to match the status value returned from each function.
    00470 *
    00471 *===========================================================================*/
    00472
    00473 #ifndef WCSLIB_TAB
    00474 #define WCSLIB_TAB
    00475
    00476 #include "wcserr.h"
    00477
    00478 #ifdef __cplusplus
    00479 extern "C" {
    00480 #endif
    00481
    00482
    00483 extern const char *tab_errmsg[];
    00484
    00485 enum tab_errmsg_enum {
    00486   TABERR_SUCCESS      = 0,      /* Success. */
    00487   TABERR_NULL_POINTER = 1,      /* Null tabprm pointer passed. */
    00488   TABERR_MEMORY       = 2,      /* Memory allocation failed. */
    00489   TABERR_BAD_PARAMS   = 3,      /* Invalid tabular parameters. */
    00490   TABERR_BAD_X        = 4,      /* One or more of the x coordinates were
    00491                                    invalid. */
    00492   TABERR_BAD_WORLD    = 5       /* One or more of the world coordinates were
    00493                                    invalid. */
    00494 };
    00495
    00496 struct tabprm {
    00497   /* Initialization flag (see the prologue above).                          */
    00498   /*------------------------------------------------------------------------*/
    00499   int    flag;                  /* Set to zero to force initialization.     */
    00500
    00501   /* Parameters to be provided (see the prologue above).                    */
    00502   /*------------------------------------------------------------------------*/
    00503   int    M;                     /* Number of tabular coordinate axes.       */
    00504   int    *K;                    /* Vector of length M whose elements        */
    00505                                 /* (K_1, K_2,... K_M) record the lengths of */
    00506                                 /* the axes of the coordinate array and of  */
    00507                                 /* each indexing vector.                    */
    00508   int    *map;                  /* Vector of length M usually such that     */
    00509                                 /* map[m-1] == i-1 for coordinate array     */
    00510                                 /* axis m and image axis i (see above).     */
    00511   double *crval;                /* Vector of length M containing the index  */
    00512                                 /* value for the reference pixel for each   */
    00513                                 /* of the tabular coordinate axes.          */
    00514   double **index;               /* Vector of pointers to M indexing vectors */
    00515                                 /* of lengths (K_1, K_2,... K_M).           */
    00516   double *coord;                /* (1+M)-dimensional tabular coordinate     */
    00517                                 /* array (see above).                       */
    00518
    00519   /* Information derived from the parameters supplied.                      */
    00520   /*------------------------------------------------------------------------*/
    00521   int    nc;                    /* Number of coordinate vectors (of length  */
    00522                                 /* M) in the coordinate array.              */
    00523   int    padding;               /* (Dummy inserted for alignment purposes.) */
    00524   int    *sense;                /* Vector of M flags that indicate whether  */
    00525                                 /* the Mth indexing vector is monotonic     */
    00526                                 /* increasing, or else decreasing.          */
    00527   int    *p0;                   /* Vector of M indices.                     */
    00528   double *delta;                /* Vector of M increments.                  */
    00529   double *extrema;              /* (1+M)-dimensional array of coordinate    */
    00530                                 /* extrema.                                 */
    00531
    00532   /* Error handling                                                         */
    00533   /*------------------------------------------------------------------------*/
    00534   struct wcserr *err;
    00535
    00536   /* Private - the remainder are for memory management.                     */
    00537   /*------------------------------------------------------------------------*/
    00538   int    m_flag, m_M, m_N;
    00539   int    set_M;
    00540   int    *m_K, *m_map;
    00541   double *m_crval, **m_index, **m_indxs, *m_coord;
    00542 };
    00543
    00544 /* Size of the tabprm struct in int units, used by the Fortran wrappers. */
    00545 #define TABLEN (sizeof(struct tabprm)/sizeof(int))
    00546
    00547
    00548 int tabini(int alloc, int M, const int K[], struct tabprm *tab);
    00549
    00550 int tabmem(struct tabprm *tab);
    00551
    00552 int tabcpy(int alloc, const struct tabprm *tabsrc, struct tabprm *tabdst);
    00553
    00554 int tabfree(struct tabprm *tab);
    00555
    00556 int tabprt(const struct tabprm *tab);
    00557
    00558 int tabset(struct tabprm *tab);
    00559
    00560 int tabx2s(struct tabprm *tab, int ncoord, int nelem, const double x[],
    00561            double world[], int stat[]);
    00562
    00563 int tabs2x(struct tabprm *tab, int ncoord, int nelem, const double world[],
    00564            double x[], int stat[]);
    00565
    00566
    00567 /* Deprecated. */
    00568 #define tabini_errmsg tab_errmsg
    00569 #define tabcpy_errmsg tab_errmsg
    00570 #define tabfree_errmsg tab_errmsg
    00571 #define tabprt_errmsg tab_errmsg
    00572 #define tabset_errmsg tab_errmsg
    00573 #define tabx2s_errmsg tab_errmsg
    00574 #define tabs2x_errmsg tab_errmsg
    00575
    00576 #ifdef __cplusplus
    00577 }
    00578 #endif
    00579
    00580 #endif /* WCSLIB_TAB */