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wcshdr.c

/*============================================================================

  WCSLIB 4.8 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2011, Mark Calabretta

  This file is part of WCSLIB.

  WCSLIB is free software: you can redistribute it and/or modify it under the
  terms of the GNU Lesser General Public License as published by the Free
  Software Foundation, either version 3 of the License, or (at your option)
  any later version.

  WCSLIB is distributed in the hope that it will be useful, but WITHOUT ANY
  WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
  FOR A PARTICULAR PURPOSE.  See the GNU Lesser General Public License for
  more details.

  You should have received a copy of the GNU Lesser General Public License
  along with WCSLIB.  If not, see <http://www.gnu.org/licenses/>.

  Correspondence concerning WCSLIB may be directed to:
    Internet email: mcalabre@atnf.csiro.au
    Postal address: Dr. Mark Calabretta
                    Australia Telescope National Facility, CSIRO
                    PO Box 76
                    Epping NSW 1710
                    AUSTRALIA

  Author: Mark Calabretta, Australia Telescope National Facility
  http://www.atnf.csiro.au/~mcalabre/index.html
  $Id: wcshdr.c,v 4.8.1.1 2011/08/15 08:07:06 cal103 Exp cal103 $
*===========================================================================*/

#include <ctype.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>

#include "wcsutil.h"
#include "wcsmath.h"
#include "wcshdr.h"
#include "tab.h"
#include "wcs.h"

extern const int WCSSET;

/* Map status return value to message. */
const char *wcshdr_errmsg[] = {
  "Success",
  "Null wcsprm pointer passed",
  "Memory allocation failed",
  "Invalid column selection",
  "Fatal error returned by Flex parser",
  "Invalid tabular parameters"};

/* Convenience macro for invoking wcserr_set(). */
#define WCSHDR_ERRMSG(status) WCSERR_SET(status), wcshdr_errmsg[status]

static void wcshdo_util(int, const char [], const char [], int, const char [],
  int, int, int, char, int, int [], char [], const char [], int *, char **,
  int *);

/*--------------------------------------------------------------------------*/

int wcstab(struct wcsprm *wcs)

{
  static const char *function = "wcstab";

  char (*PSi_0a)[72] = 0x0, (*PSi_1a)[72] = 0x0, (*PSi_2a)[72] = 0x0;
  int  *PVi_1a = 0x0, *PVi_2a = 0x0, *PVi_3a = 0x0, *tabax, *tabidx = 0x0;
  int   getcrd, i, ip, itab, itabax, j, jtabax, m, naxis, ntabax, status;
  struct wtbarr *wtbp;
  struct tabprm *tabp;
  struct wcserr **err;

  if (wcs == 0x0) return WCSHDRERR_NULL_POINTER;
  err = &(wcs->err);

  /* Free memory previously allocated by wcstab(). */
  if (wcs->flag != -1 && wcs->m_flag == WCSSET) {
    if (wcs->wtb == wcs->m_wtb) wcs->wtb = 0x0;
    if (wcs->tab == wcs->m_tab) wcs->tab = 0x0;

    if (wcs->m_wtb) free(wcs->m_wtb);
    if (wcs->m_tab) {
      for (j = 0; j < wcs->ntab; j++) {
        tabfree(wcs->m_tab + j);
      }

      free(wcs->m_tab);
    }
  }

  wcs->ntab = 0;
  wcs->nwtb = 0;
  wcs->wtb  = 0x0;
  wcs->tab  = 0x0;


  /* Determine the number of -TAB axes. */
  naxis = wcs->naxis;
  if (!(tabax = calloc(naxis, sizeof(int)))) {
    return wcserr_set(WCSHDR_ERRMSG(WCSHDRERR_MEMORY));
  }

  ntabax = 0;
  for (i = 0; i < naxis; i++) {
    /* Null fill. */
    wcsutil_null_fill(72, wcs->ctype[i]);

    if (!strcmp(wcs->ctype[i]+4, "-TAB")) {
      tabax[i] = ntabax++;
    } else {
      tabax[i] = -1;
    }
  }

  if (ntabax == 0) {
    /* No lookup tables. */
    status = 0;
    goto cleanup;
  }


  /* Collect information from the PSi_ma and PVi_ma keyvalues. */
  if (!((PSi_0a = calloc(ntabax, sizeof(char[72]))) &&
        (PVi_1a = calloc(ntabax, sizeof(int)))      &&
        (PVi_2a = calloc(ntabax, sizeof(int)))      &&
        (PSi_1a = calloc(ntabax, sizeof(char[72]))) &&
        (PSi_2a = calloc(ntabax, sizeof(char[72]))) &&
        (PVi_3a = calloc(ntabax, sizeof(int)))      &&
        (tabidx = calloc(ntabax, sizeof(int))))) {
    status = wcserr_set(WCSHDR_ERRMSG(WCSHDRERR_MEMORY));
    goto cleanup;
  }

  for (itabax = 0; itabax < ntabax; itabax++) {
    /* Remember that calloc() zeroes allocated memory. */
    PVi_1a[itabax] = 1;
    PVi_2a[itabax] = 1;
    PVi_3a[itabax] = 1;
  }

  for (ip = 0; ip < wcs->nps; ip++) {
    itabax = tabax[wcs->ps[ip].i - 1];
    if (itabax >= 0) {
      switch (wcs->ps[ip].m) {
      case 0:
        /* EXTNAME. */
        strcpy(PSi_0a[itabax], wcs->ps[ip].value);
        wcsutil_null_fill(72, PSi_0a[itabax]);
        break;
      case 1:
        /* TTYPEn for coordinate array. */
        strcpy(PSi_1a[itabax], wcs->ps[ip].value);
        wcsutil_null_fill(72, PSi_1a[itabax]);
        break;
      case 2:
        /* TTYPEn for index vector. */
        strcpy(PSi_2a[itabax], wcs->ps[ip].value);
        wcsutil_null_fill(72, PSi_2a[itabax]);
        break;
      }
    }
  }

  for (ip = 0; ip < wcs->npv; ip++) {
    itabax = tabax[wcs->pv[ip].i - 1];
    if (itabax >= 0) {
      switch (wcs->pv[ip].m) {
      case 1:
        /* EXTVER. */
        PVi_1a[itabax] = (int)(wcs->pv[ip].value + 0.5);
        break;
      case 2:
        /* EXTLEVEL. */
        PVi_2a[itabax] = (int)(wcs->pv[ip].value + 0.5);
        break;
      case 3:
        /* Table axis number. */
        PVi_3a[itabax] = (int)(wcs->pv[ip].value + 0.5);
        break;
      }
    }
  }


  /* Determine the number of independent tables. */
  for (itabax = 0; itabax < ntabax; itabax++) {
    /* These have no defaults. */
    if (!PSi_0a[itabax][0] || !PSi_1a[itabax][0]) {
      status = wcserr_set(WCSERR_SET(WCSHDRERR_BAD_TABULAR_PARAMS),
        "Invalid tabular parameters: PSi_0a and PSi_1a must be specified");
      goto cleanup;
    }

    tabidx[itabax] = -1;
    for (jtabax = 0; jtabax < i; jtabax++) {
      /* EXTNAME, EXTVER, EXTLEVEL, and TTYPEn for the coordinate array */
      /* must match for each axis of a multi-dimensional lookup table.  */
      if (strcmp(PSi_0a[itabax], PSi_0a[jtabax]) == 0 &&
          strcmp(PSi_1a[itabax], PSi_1a[jtabax]) == 0 &&
          PVi_1a[itabax] == PVi_1a[jtabax] &&
          PVi_2a[itabax] == PVi_2a[jtabax]) {
        tabidx[itabax] = tabidx[jtabax];
        break;
      }
    }

    if (jtabax == itabax) {
      tabidx[itabax] = wcs->ntab;
      wcs->ntab++;
    }
  }

  if (!(wcs->tab = calloc(wcs->ntab, sizeof(struct tabprm)))) {
    status = wcserr_set(WCSHDR_ERRMSG(WCSHDRERR_MEMORY));
    goto cleanup;
  }
  wcs->m_tab = wcs->tab;

  /* Table dimensionality; find the largest axis number. */
  for (itabax = 0; itabax < ntabax; itabax++) {
    tabp = wcs->tab + tabidx[itabax];

    /* PVi_3a records the 1-relative table axis number. */
    if (PVi_3a[itabax] > tabp->M) {
      tabp->M = PVi_3a[itabax];
    }
  }

  for (itab = 0; itab < wcs->ntab; itab++) {
    if ((status = tabini(1, wcs->tab[itab].M, 0, wcs->tab + itab))) {
      if (status == 3) status = 5;
      wcserr_set(WCSHDR_ERRMSG(status));
      goto cleanup;
    }
  }


  /* Copy parameters into the tabprm structs. */
  for (i = 0; i < naxis; i++) {
    if ((itabax = tabax[i]) < 0) {
      /* Not a -TAB axis. */
      continue;
    }

    /* PVi_3a records the 1-relative table axis number. */
    m = PVi_3a[itabax] - 1;

    tabp = wcs->tab + tabidx[itabax];
    tabp->map[m] = i;
    tabp->crval[m] = wcs->crval[i];
  }

  /* Check for completeness. */
  for (itab = 0; itab < wcs->ntab; itab++) {
    for (m = 0; m < wcs->tab[itab].M; m++) {
      if (wcs->tab[itab].map[m] < 0) {
        status = wcserr_set(WCSERR_SET(WCSHDRERR_BAD_TABULAR_PARAMS),
          "Invalid tabular parameters: the axis mapping is undefined");
        goto cleanup;
      }
    }
  }


  /* Set up for reading the arrays; how many arrays are there? */
  for (itabax = 0; itabax < ntabax; itabax++) {
    /* Does this -TAB axis have a non-degenerate index array? */
    if (PSi_2a[itabax][0]) {
      wcs->nwtb++;
    }
  }

  /* Add one coordinate array for each table. */
  wcs->nwtb += wcs->ntab;

  /* Allocate memory for structs to be returned. */
  if (!(wcs->wtb = calloc(wcs->nwtb, sizeof(struct wtbarr)))) {
    wcs->nwtb = 0;

    status = wcserr_set(WCSHDR_ERRMSG(WCSHDRERR_MEMORY));
    goto cleanup;
  }
  wcs->m_wtb = wcs->wtb;

  /* Set pointers for the index and coordinate arrays. */
  wtbp = wcs->wtb;
  for (itab = 0; itab < wcs->ntab; itab++) {
    getcrd = 1;
    for (itabax = 0; itabax < ntabax; itabax++) {
      if (tabidx[itabax] != itab) continue;

      if (getcrd) {
        /* Coordinate array. */
        wtbp->i = itabax + 1;
        wtbp->m = PVi_3a[itabax];
        wtbp->kind = 'c';

        strcpy(wtbp->extnam, PSi_0a[itabax]);
        wtbp->extver = PVi_1a[itabax];
        wtbp->extlev = PVi_2a[itabax];
        strcpy(wtbp->ttype, PSi_1a[itabax]);
        wtbp->row    = 1L;
        wtbp->ndim   = wcs->tab[itab].M + 1;
        wtbp->dimlen = wcs->tab[itab].K;
        wtbp->arrayp = &(wcs->tab[itab].coord);

        /* Signal for tabset() to take this memory. */
        wcs->tab[itab].m_coord = (double *)0x1;

        wtbp++;
        getcrd = 0;
      }

      if (PSi_2a[itabax][0]) {
        /* Index array. */
        wtbp->i = itabax + 1;
        wtbp->m = PVi_3a[itabax];
        wtbp->kind = 'i';

        m = wtbp->m - 1;
        strcpy(wtbp->extnam, PSi_0a[itabax]);
        wtbp->extver = PVi_1a[itabax];
        wtbp->extlev = PVi_2a[itabax];
        strcpy(wtbp->ttype, PSi_2a[itabax]);
        wtbp->row    = 1L;
        wtbp->ndim   = 1;
        wtbp->dimlen = wcs->tab[itab].K + m;
        wtbp->arrayp = wcs->tab[itab].index + m;

        /* Signal for tabset() to take this memory. */
        wcs->tab[itab].m_indxs[m] = (double *)0x1;

        wtbp++;
      }
    }
  }

  status = 0;

cleanup:
  if (tabax)  free(tabax);
  if (tabidx) free(tabidx);
  if (PSi_0a) free(PSi_0a);
  if (PVi_1a) free(PVi_1a);
  if (PVi_2a) free(PVi_2a);
  if (PSi_1a) free(PSi_1a);
  if (PSi_2a) free(PSi_2a);
  if (PVi_3a) free(PVi_3a);

  if (status) {
    if (wcs->tab) free(wcs->tab);
    if (wcs->wtb) free(wcs->wtb);
  }

  return status;
}

/*--------------------------------------------------------------------------*/

int wcsidx(int nwcs, struct wcsprm **wcs, int alts[27])

{
  int a, iwcs;
  struct wcsprm *wcsp;

  for (a = 0; a < 27; a++) {
    alts[a] = -1;
  }

  if (wcs == 0x0) {
    return WCSHDRERR_NULL_POINTER;
  }

  wcsp = *wcs;
  for (iwcs = 0; iwcs < nwcs; iwcs++, wcsp++) {
    if (wcsp->colnum || wcsp->colax[0]) continue;

    if (wcsp->alt[0] == ' ') {
      a = 0;
    } else {
      a = wcsp->alt[0] - 'A' + 1;
    }

    alts[a] = iwcs;
  }

  return 0;
}

/*--------------------------------------------------------------------------*/

int wcsbdx(int nwcs, struct wcsprm **wcs, int type, short alts[1000][28])

{
  short  *ip;
  int    a, i, icol, iwcs;
  struct wcsprm *wcsp;

  for (ip = alts[0]; ip < alts[0] + 28*1000; ip++) {
    *ip = -1;
  }

  for (icol = 0; icol < 1000; icol++) {
    alts[icol][27] = 0;
  }

  if (wcs == 0x0) {
    return WCSHDRERR_NULL_POINTER;
  }

  wcsp = *wcs;
  for (iwcs = 0; iwcs < nwcs; iwcs++, wcsp++) {
    if (wcsp->alt[0] == ' ') {
      a = 0;
    } else {
      a = wcsp->alt[0] - 'A' + 1;
    }

    if (type) {
      /* Pixel list. */
      if (wcsp->colax[0]) {
        for (i = 0; i < wcsp->naxis; i++) {
          alts[wcsp->colax[i]][a]  = iwcs;
          alts[wcsp->colax[i]][27]++;
        }
      } else if (!wcsp->colnum) {
        alts[0][a]  = iwcs;
        alts[0][27]++;
      }

    } else {
      /* Binary table image array. */
      if (wcsp->colnum) {
        alts[wcsp->colnum][a] = iwcs;
        alts[wcsp->colnum][27]++;
      } else if (!wcsp->colax[0]) {
        alts[0][a]  = iwcs;
        alts[0][27]++;
      }
    }
  }

  return 0;
}

/*--------------------------------------------------------------------------*/

int wcsvfree(int *nwcs, struct wcsprm **wcs)

{
  int a, status = 0;
  struct wcsprm *wcsp;

  if (wcs == 0x0) {
    return WCSHDRERR_NULL_POINTER;
  }

  wcsp = *wcs;
  for (a = 0; a < *nwcs; a++, wcsp++) {
    status |= wcsfree(wcsp);
  }

  free(*wcs);

  *nwcs = 0;
  *wcs = 0x0;

  return status;
}

/*--------------------------------------------------------------------------*/

int wcshdo(int relax, struct wcsprm *wcs, int *nkeyrec, char **header)

/* ::: CUBEFACE and STOKES handling? */

{
  static const char *function = "wcshdo";

  char alt, comment[72], keyvalue[72], keyword[16], obsg[8] = "OBSG?",
       obsgeo[8] = "OBSGEO-?", ptype, xtype, xyz[] = "XYZ";
  int  bintab, col0, *colax, colnum, i, j, k, naxis, pixlist, primage,
       status = 0;
  struct wcserr **err;

  *nkeyrec = 0;
  *header  = 0x0;

  if (wcs == 0x0) return WCSHDRERR_NULL_POINTER;
  err = &(wcs->err);

  if (wcs->flag != WCSSET) {
    if ((status = wcsset(wcs))) return status;
  }

  if ((naxis = wcs->naxis) == 0) {
    return 0;
  }


  /* These are mainly for convenience. */
  alt = wcs->alt[0];
  if (alt == ' ') alt = '\0';
  colnum = wcs->colnum;
  colax  = wcs->colax;

  primage = 0;
  bintab  = 0;
  pixlist = 0;
  if (colnum) {
    bintab  = 1;
    col0 = colnum;
  } else if (colax[0]) {
    pixlist = 1;
    col0 = colax[0];
  } else {
    primage = 1;
  }


  /* WCS dimension. */
  if (!pixlist) {
    sprintf(keyvalue, "%20d", naxis);
    wcshdo_util(relax, "WCSAXES", "WCAX", 0, 0x0, 0, 0, 0, alt, colnum, colax,
      keyvalue, "Number of coordinate axes", nkeyrec, header, &status);
  }

  /* Reference pixel coordinates. */
  for (j = 0; j < naxis; j++) {
    sprintf(keyvalue, "%20.12G", wcs->crpix[j]);
    wcshdo_util(relax, "CRPIX", "CRP", WCSHDO_CRPXna, "CRPX", 0, j+1, 0, alt,
      colnum, colax, keyvalue, "Pixel coordinate of reference point",
      nkeyrec, header, &status);
  }

  /* Linear transformation matrix. */
  k = 0;
  for (i = 0; i < naxis; i++) {
    for (j = 0; j < naxis; j++, k++) {
      if (i == j) {
        if (wcs->pc[k] == 1.0) continue;
      } else {
        if (wcs->pc[k] == 0.0) continue;
      }

      sprintf(keyvalue, "%20.12G", wcs->pc[k]);
      wcshdo_util(relax, "PC", bintab ? "PC" : "P", WCSHDO_TPCn_ka,
        bintab ? 0x0 : "PC", i+1, j+1, 0, alt, colnum, colax, keyvalue,
        "Coordinate transformation matrix element",
        nkeyrec, header, &status);
    }
  }

  /* Coordinate increment at reference point. */
  for (i = 0; i < naxis; i++) {
    sprintf(keyvalue, "%20.12G", wcs->cdelt[i]);
    comment[0] = '\0';
    if (wcs->cunit[i][0]) sprintf(comment, "[%s] ", wcs->cunit[i]);
    strcat(comment, "Coordinate increment at reference point");
    wcshdo_util(relax, "CDELT", "CDE", WCSHDO_CRPXna, "CDLT", i+1, 0, 0, alt,
      colnum, colax, keyvalue, comment, nkeyrec, header, &status);
  }

  /* Units of coordinate increment and reference value. */
  for (i = 0; i < naxis; i++) {
    if (wcs->cunit[i][0] == '\0') continue;

    sprintf(keyvalue, "'%s'", wcs->cunit[i]);
    wcshdo_util(relax, "CUNIT", "CUN", WCSHDO_CRPXna, "CUNI", i+1, 0, 0, alt,
      colnum, colax, keyvalue, "Units of coordinate increment and value",
      nkeyrec, header, &status);
  }

  /* Coordinate type. */
  for (i = 0; i < naxis; i++) {
    if (wcs->ctype[i][0] == '\0') continue;

    sprintf(keyvalue, "'%s'", wcs->ctype[i]);
    strcpy(comment, "Coordinate type code");
    if (i == wcs->lng || i == wcs->lat) {
      if (strncmp(wcs->ctype[i], "RA--", 4) == 0) {
        strcpy(comment, "Right ascension, ");
      } else if (strncmp(wcs->ctype[i], "DEC-", 4) == 0) {
        strcpy(comment, "Declination, ");
      } else if (strncmp(wcs->ctype[i]+1, "LON", 3) == 0 ||
                 strncmp(wcs->ctype[i]+1, "LAT", 3) == 0) {
        switch (wcs->ctype[i][0]) {
        case 'G':
          strcpy(comment, "galactic ");
          break;
        case 'E':
          strcpy(comment, "ecliptic ");
        case 'H':
          strcpy(comment, "helioecliptic ");
        case 'S':
          strcpy(comment, "supergalactic ");
        }

        if (i == wcs->lng) {
          strcat(comment, "longitude, ");
        } else {
          strcat(comment, "latitude, ");
        }

        wcs->ctype[i][0] = toupper(wcs->ctype[i][0]);
      }

      strcat(comment, wcs->cel.prj.name);
      strcat(comment, " projection");

    } else if (i == wcs->spec) {
      spctyp(wcs->ctype[i], 0x0, 0x0, comment, 0x0, &ptype, &xtype, 0x0);
      if (ptype == xtype) {
        strcat(comment, " (linear)");
      } else {
        switch (xtype) {
        case 'F':
          strcat(comment, " (linear in frequency)");
          break;
        case 'V':
          strcat(comment, " (linear in velocity)");
          break;
        case 'W':
          strcat(comment, " (linear in wavelength)");
          break;
        }
      }
    }

    wcshdo_util(relax, "CTYPE", "CTY", WCSHDO_CRPXna, "CTYP", i+1, 0, 0, alt,
      colnum, colax, keyvalue, comment, nkeyrec, header, &status);
  }

  /* Coordinate value at reference point. */
  for (i = 0; i < naxis; i++) {
    sprintf(keyvalue, "%20.12G", wcs->crval[i]);
    comment[0] = '\0';
    if (wcs->cunit[i][0]) sprintf(comment, "[%s] ", wcs->cunit[i]);
    strcat(comment, "Coordinate value at reference point");
    wcshdo_util(relax, "CRVAL", "CRV", WCSHDO_CRPXna, "CRVL", i+1, 0, 0, alt,
      colnum, colax, keyvalue, comment, nkeyrec, header, &status);
  }

  /* Parameter values. */
  for (k = 0; k < wcs->npv; k++) {
    sprintf(keyvalue, "%20.12G", (wcs->pv[k]).value);
    if ((wcs->pv[k]).i == (wcs->lng + 1)) {
      switch ((wcs->pv[k]).m) {
      case 1:
        strcpy(comment, "[deg] Native longitude of the reference point");
        break;
      case 2:
        strcpy(comment, "[deg] Native latitude  of the reference point");
        break;
      case 3:
        if (primage) {
          sprintf(keyword, "LONPOLE%c", alt);
        } else if (bintab) {
          sprintf(keyword, "LONP%d%c", colnum, alt);
        } else {
          sprintf(keyword, "LONP%d%c", colax[(wcs->pv[k]).i - 1], alt);
        }
        sprintf(comment, "[deg] alias for %s (has precedence)", keyword);
        break;
      case 4:
        if (primage) {
          sprintf(keyword, "LATPOLE%c", alt);
        } else if (bintab) {
          sprintf(keyword, "LATP%d%c", colnum, alt);
        } else {
          sprintf(keyword, "LATP%d%c", colax[(wcs->pv[k]).i - 1], alt);
        }
        sprintf(comment, "[deg] alias for %s (has precedence)", keyword);
        break;
      }
    } else if ((wcs->pv[k]).i == (wcs->lat + 1)) {
      sprintf(comment, "%s projection parameter", wcs->cel.prj.code);
    } else {
      strcpy(comment, "Coordinate transformation parameter");
    }

    wcshdo_util(relax, "PV", "V", WCSHDO_PVn_ma, "PV", wcs->pv[k].i, -1,
      wcs->pv[k].m, alt, colnum, colax, keyvalue, comment,
      nkeyrec, header, &status);
  }

  for (k = 0; k < wcs->nps; k++) {
    sprintf(keyvalue, "'%s'", (wcs->ps[k]).value);

    wcshdo_util(relax, "PS", "S", WCSHDO_PVn_ma, "PS", wcs->ps[k].i, -1,
      wcs->ps[k].m, alt, colnum, colax, keyvalue,
      "Coordinate transformation parameter",
      nkeyrec, header, &status);
  }

  /* Celestial and spectral transformation parameters. */
  if (!undefined(wcs->lonpole)) {
    sprintf(keyvalue, "%20.12G", wcs->lonpole);
    wcshdo_util(relax, "LONPOLE", "LONP", 0, 0x0, 0, 0, 0, alt,
      colnum, colax, keyvalue, "[deg] Native longitude of celestial pole",
      nkeyrec, header, &status);
  }

  if (!undefined(wcs->latpole)) {
    sprintf(keyvalue, "%20.12G", wcs->latpole);
    wcshdo_util(relax, "LATPOLE", "LATP", 0, 0x0, 0, 0, 0, alt,
      colnum, colax, keyvalue, "[deg] Native latitude of celestial pole",
      nkeyrec, header, &status);
  }

  if (!undefined(wcs->restfrq)) {
    sprintf(keyvalue, "%20.12G", wcs->restfrq);
    wcshdo_util(relax, "RESTFRQ", "RFRQ", 0, 0x0, 0, 0, 0, alt,
      colnum, colax, keyvalue, "[Hz] Line rest frequency",
      nkeyrec, header, &status);
  }

  if (!undefined(wcs->restwav)) {
    sprintf(keyvalue, "%20.12G", wcs->restwav);
    wcshdo_util(relax, "RESTWAV", "RWAV", 0, 0x0, 0, 0, 0, alt,
      colnum, colax, keyvalue, "[Hz] Line rest wavelength",
      nkeyrec, header, &status);
  }

  /* Coordinate system title. */
  if (wcs->wcsname[0]) {
    sprintf(keyvalue, "'%s'", wcs->wcsname);
    if (bintab) {
      wcshdo_util(relax, "WCSNAME", "WCSN", 0, 0x0, 0, 0, 0, alt,
        colnum, colax, keyvalue, "Coordinate system title",
        nkeyrec, header, &status);
    } else {
      /* TWCS was a mistake. */
      wcshdo_util(relax, "WCSNAME", "TWCS", WCSHDO_WCSNna, "WCSN", 0, 0, 0,
        alt, colnum, colax, keyvalue, "Coordinate system title",
        nkeyrec, header, &status);
    }
  }

  /* Coordinate axis title. */
  if (wcs->cname) {
    for (i = 0; i < naxis; i++) {
      if (wcs->cname[i][0] == '\0') continue;

      sprintf(keyvalue, "'%s'", wcs->cname[i]);
      wcshdo_util(relax, "CNAME", "CNA", WCSHDO_CNAMna, "CNAM", i+1, 0, 0,
        alt, colnum, colax, keyvalue, "Axis name for labelling purposes",
        nkeyrec, header, &status);
    }
  }

  /* Random error in coordinate. */
  if (wcs->crder) {
    for (i = 0; i < naxis; i++) {
      if (undefined(wcs->crder[i])) continue;

      sprintf(keyvalue, "%20.12G", wcs->crder[i]);
      comment[0] = '\0';
      if (wcs->cunit[i][0]) sprintf(comment, "[%s] ", wcs->cunit[i]);
      strcat(comment, "Random error in coordinate");
      wcshdo_util(relax, "CRDER", "CRD", WCSHDO_CNAMna, "CRDE", i+1, 0, 0,
        alt, colnum, colax, keyvalue, comment, nkeyrec, header, &status);
    }
  }

  /* Systematic error in coordinate. */
  if (wcs->csyer) {
    for (i = 0; i < naxis; i++) {
      if (undefined(wcs->csyer[i])) continue;

      sprintf(keyvalue, "%20.12G", wcs->csyer[i]);
      comment[0] = '\0';
      if (wcs->cunit[i][0]) sprintf(comment, "[%s] ", wcs->cunit[i]);
      strcat(comment, "Systematic error in coordinate");
      wcshdo_util(relax, "CSYER", "CSY", WCSHDO_CNAMna, "CSYE", i+1, 0, 0,
        alt, colnum, colax, keyvalue, comment, nkeyrec, header, &status);
    }
  }

  /* Equatorial coordinate system type. */
  if (wcs->radesys[0]) {
    sprintf(keyvalue, "'%s'", wcs->radesys);
    wcshdo_util(relax, "RADESYS", "RADE", 0, 0x0, 0, 0, 0, alt,
      colnum, colax, keyvalue, "Equatorial coordinate system",
      nkeyrec, header, &status);
  }

  /* Equinox of equatorial coordinate system. */
  if (!undefined(wcs->equinox)) {
    sprintf(keyvalue, "%20.12G", wcs->equinox);
    wcshdo_util(relax, "EQUINOX", "EQUI", 0, 0x0, 0, 0, 0, alt,
      colnum, colax, keyvalue, "[yr] Equinox of equatorial coordinates",
      nkeyrec, header, &status);
  }

  /* Reference frame of spectral coordinates. */
  if (wcs->specsys[0]) {
    sprintf(keyvalue, "'%s'", wcs->specsys);
    wcshdo_util(relax, "SPECSYS", "SPEC", 0, 0x0, 0, 0, 0, alt,
      colnum, colax, keyvalue, "Reference frame of spectral coordinates",
      nkeyrec, header, &status);
  }

  /* Reference frame of spectral observation. */
  if (wcs->ssysobs[0]) {
    sprintf(keyvalue, "'%s'", wcs->ssysobs);
    wcshdo_util(relax, "SSYSOBS", "SOBS", 0, 0x0, 0, 0, 0, alt,
      colnum, colax, keyvalue, "Reference frame of spectral observation",
      nkeyrec, header, &status);
  }

  /* Observer's velocity towards source. */
  if (!undefined(wcs->velosys)) {
    sprintf(keyvalue, "%20.12G", wcs->velosys);
    wcshdo_util(relax, "VELOSYS", "VSYS", 0, 0x0, 0, 0, 0, alt,
      colnum, colax, keyvalue, "[m/s] Velocity towards source",
      nkeyrec, header, &status);
  }

  /* Reference frame of source redshift. */
  if (wcs->ssyssrc[0]) {
    sprintf(keyvalue, "'%s'", wcs->ssyssrc);
    wcshdo_util(relax, "SSYSSRC", "SSRC", 0, 0x0, 0, 0, 0, alt,
      colnum, colax, keyvalue, "Reference frame of source redshift",
      nkeyrec, header, &status);
  }

  /* Redshift of the source. */
  if (!undefined(wcs->zsource)) {
    sprintf(keyvalue, "%20.12G", wcs->zsource);
    wcshdo_util(relax, "ZSOURCE", "ZSOU", 0, 0x0, 0, 0, 0, alt,
      colnum, colax, keyvalue, "Redshift of the source",
      nkeyrec, header, &status);
  }

  /* Observatory coordinates. */
  for (k = 0; k < 3; k++) {
    if (undefined(wcs->obsgeo[k])) continue;

    sprintf(keyvalue, "%20.12G", wcs->obsgeo[k]);
    sprintf(comment, "[m] ITRF observatory %c-coordinate", xyz[k]);
    obsgeo[7] = xyz[k];
    obsg[4]   = xyz[k];
    wcshdo_util(relax, obsgeo, obsg, 0, 0x0, 0, 0, 0, ' ',
      colnum, colax, keyvalue, comment, nkeyrec, header, &status);
  }

  /* MJD of observation. */
  if (!undefined(wcs->mjdobs)) {
    sprintf(keyvalue, "%20.12G", wcs->mjdobs);

    strcpy(comment, "[d] MJD of observation");
    if (wcs->dateobs[0]) {
      if (primage || (relax & 1) == 0) {
        sprintf(comment+22, " matching DATE-OBS");
      } else {
        sprintf(comment+22, " matching DOBS%d", col0);
      }
    }

    wcshdo_util(relax, "MJD-OBS", "MJDOB", 0, 0x0, 0, 0, 0, ' ',
      colnum, colax, keyvalue, comment, nkeyrec, header, &status);
  }

  /* MJD mid-observation time. */
  if (!undefined(wcs->mjdavg)) {
    sprintf(keyvalue, "%20.12G", wcs->mjdavg);

    strcpy(comment, "[d] MJD mid-observation");
    if (wcs->dateavg[0]) {
      if (primage) {
        sprintf(comment+23, " matching DATE-AVG");
      } else {
        sprintf(comment+23, " matching DAVG%d", col0);
      }
    }

    wcshdo_util(relax, "MJD-AVG", "MJDA", 0, 0x0, 0, 0, 0, ' ',
      colnum, colax, keyvalue, comment, nkeyrec, header, &status);
  }

  /* ISO-8601 date corresponding to MJD-OBS. */
  if (wcs->dateobs[0]) {
    sprintf(keyvalue, "'%s'", wcs->dateobs);

    strcpy(comment, "ISO-8601 observation date");
    if (!undefined(wcs->mjdobs)) {
      if (primage) {
        sprintf(comment+25, " matching MJD-OBS");
      } else {
        sprintf(comment+25, " matching MJDOB%d", col0);
      }
    }

    if (relax & 1) {
      /* Allow DOBSn. */
      wcshdo_util(relax, "DATE-OBS", "DOBS", WCSHDO_DOBSn, 0x0, 0, 0, 0,
        ' ', colnum, colax, keyvalue, comment, nkeyrec, header, &status);
    } else {
      /* Force DATE-OBS. */
      wcshdo_util(relax, "DATE-OBS", 0x0, 0, 0x0, 0, 0, 0, ' ', 0,
        0x0, keyvalue, comment, nkeyrec, header, &status);
    }
  }

  /* ISO-8601 date corresponding to MJD-OBS. */
  if (wcs->dateavg[0]) {
    sprintf(keyvalue, "'%s'", wcs->dateavg);

    strcpy(comment, "ISO-8601 mid-observation date");
    if (!undefined(wcs->mjdavg)) {
      if (primage) {
        sprintf(comment+29, " matching MJD-AVG");
      } else {
        sprintf(comment+29, " matching MJDA%d", col0);
      }
    }

    wcshdo_util(relax, "DATE-AVG", "DAVG", 0, 0x0, 0, 0, 0, ' ',
      colnum, colax, keyvalue, comment, nkeyrec, header, &status);
  }

  if (status == WCSHDRERR_MEMORY) {
    wcserr_set(WCSHDR_ERRMSG(status));
  }
  return status;
}

/*--------------------------------------------------------------------------*/

void wcshdo_util(
  int relax,
  const char pikey[],
  const char tbkey[],
  int level,
  const char tlkey[],
  int i,
  int j,
  int m,
  char alt,
  int  btcol,
  int  plcol[],
  char keyvalue[],
  const char keycomment[],
  int  *nkeyrec,
  char **header,
  int  *status)

{
  char ch0, ch1, *hptr, keyword[16], *kptr;
  int  nbyte, nc = 47, nv;

  if (*status) return;

  /* Reallocate memory in blocks of 2880 bytes. */
  if ((*nkeyrec)%32 == 0) {
    nbyte = ((*nkeyrec)/32 + 1) * 2880;
    if (!(hptr = realloc(*header, nbyte))) {
      *status = WCSHDRERR_MEMORY;
      return;
    }

    *header = hptr;
  }

  /* Construct the keyword. */
  if (alt == ' ') alt = '\0';
  if (btcol) {
    /* Binary table image array. */
    if (i > 0 && j) {
      if (j > 0) {
        sprintf(keyword, "%d%d%s%d%c", i, j, tbkey, btcol, alt);
      } else {
        sprintf(keyword, "%d%s%d_%d%c", i, tbkey, btcol, m, alt);
      }
    } else if (i > 0) {
      sprintf(keyword, "%d%s%d%c", i, tbkey, btcol, alt);
    } else if (j > 0) {
      sprintf(keyword, "%d%s%d%c", j, tbkey, btcol, alt);
    } else {
      sprintf(keyword, "%s%d%c", tbkey, btcol, alt);
    }

    if ((strlen(keyword) < 8) && tlkey && (relax & level)) {
      /* Use the long form. */
      if (i > 0 && j) {
        if (j > 0) {
          sprintf(keyword, "%d%d%s%d%c", i, j, tlkey, btcol, alt);
        } else {
          sprintf(keyword, "%d%s%d_%d%c", i, tlkey, btcol, m, alt);
        }
      } else if (i > 0) {
        sprintf(keyword, "%d%s%d%c", i, tlkey, btcol, alt);
      } else if (j > 0) {
        sprintf(keyword, "%d%s%d%c", j, tlkey, btcol, alt);
      } else {
        sprintf(keyword, "%s%d%c", tlkey, btcol, alt);
      }
    }

  } else if (plcol && plcol[0]) {
    /* Pixel list. */
    if (i > 0 && j) {
      if (j > 0) {
        sprintf(keyword, "T%s%d_%d%c", tbkey, plcol[i-1], plcol[j-1], alt);
      } else {
        sprintf(keyword, "T%s%d_%d%c", tbkey, plcol[i-1], m, alt);
      }
    } else if (i > 0) {
      sprintf(keyword, "T%s%d%c", tbkey, plcol[i-1], alt);
    } else if (j > 0) {
      sprintf(keyword, "T%s%d%c", tbkey, plcol[j-1], alt);
    } else {
      sprintf(keyword, "%s%d%c", tbkey, plcol[0], alt);
    }

    if ((strlen(keyword) < 8) && tlkey && (relax & level)) {
      /* Use the long form. */
      if (i > 0 && j) {
        if (j > 0) {
          sprintf(keyword, "T%s%d_%d%c", tlkey, plcol[i-1], plcol[j-1], alt);
        } else {
          sprintf(keyword, "T%s%d_%d%c", tlkey, plcol[i-1], m, alt);
        }
      } else if (i > 0) {
        sprintf(keyword, "T%s%d%c", tlkey, plcol[i-1], alt);
      } else if (j > 0) {
        sprintf(keyword, "T%s%d%c", tlkey, plcol[j-1], alt);
      } else {
        sprintf(keyword, "%s%d%c", tlkey, plcol[0], alt);
      }
    }
  } else {
    if (i > 0 && j) {
      if (j > 0) {
        sprintf(keyword, "%s%d_%d%c", pikey, i, j, alt);
      } else {
        sprintf(keyword, "%s%d_%d%c", pikey, i, m, alt);
      }
    } else if (i > 0) {
      sprintf(keyword, "%s%d%c", pikey, i, alt);
    } else if (j > 0) {
      sprintf(keyword, "%s%d%c", pikey, j, alt);
    } else {
      sprintf(keyword, "%s%c", pikey, alt);
    }
  }

  /* Double-up single-quotes in the keyvalue. */
  hptr = keyvalue + 1;
  while (*hptr) {
    if (*hptr == '\'') {
      kptr = hptr++;
      if (*hptr) {
        ch0 = *kptr;
        while (*kptr) {
          ch1 = *(++kptr);
          *kptr = ch0;
          ch0 = ch1;
        }
      }
    }

    hptr++;
  }

  if ((nv = strlen(keyvalue) > 20)) {
    /* Rob the keycomment to make space for the keyvalue. */
    nc -= (nv - 20);
  }

  hptr = *header + (80 * ((*nkeyrec)++));
  sprintf(hptr, "%-8.8s= %-20s / %-*.*s", keyword, keyvalue, nc, nc,
    keycomment);
}

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