testbed/astropy__astropy/cextern/wcslib/C/spx.c

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

  WCSLIB 6.2 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2018, 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.

  Direct correspondence concerning WCSLIB to mark@calabretta.id.au

  Author: Mark Calabretta, Australia Telescope National Facility, CSIRO.
  http://www.atnf.csiro.au/people/Mark.Calabretta
  $Id: spx.c,v 6.2 2018/10/20 10:03:13 mcalabre Exp $
*===========================================================================*/

#include <math.h>
#include <stdio.h>
#include <string.h>

#include "wcserr.h"
#include "wcsmath.h"
#include "spx.h"


/* Map status return value to message. */
const char *spx_errmsg[] = {
  "Success",
  "Null spxprm pointer passed",
  "Invalid spectral parameters",
  "Invalid spectral variable",
  "One or more of the inspec coordinates were invalid"};

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

#define C 2.99792458e8
#define h 6.6260755e-34

/*============================================================================
*   Spectral cross conversions; given one spectral coordinate it computes all
*   the others, plus the required derivatives of each with respect to the
*   others.
*===========================================================================*/

int specx(type, spec, restfrq, restwav, spx)

const char *type;
double spec, restfrq, restwav;
struct spxprm *spx;

{
  static const char *function = "specx";

  register int k;
  int haverest;
  double beta, dwaveawav, gamma, n, s, t, u;
  struct wcserr **err;

  if (spx == 0x0) return SPXERR_NULL_POINTER;
  err = &(spx->err);

  haverest = 1;
  if (restfrq == 0.0) {
    if (restwav == 0.0) {
      /* No line rest frequency supplied. */
      haverest = 0;

      /* Temporarily set a dummy value for conversions. */
      spx->restwav = 1.0;
    } else {
      spx->restwav = restwav;
    }
    spx->restfrq = C/spx->restwav;

  } else {
    spx->restfrq = restfrq;
    spx->restwav = C/restfrq;
  }

  spx->err = 0x0;

  /* Convert to frequency. */
  spx->wavetype = 0;
  spx->velotype = 0;
  if (strcmp(type, "FREQ") == 0) {
    if (spec == 0.0) {
      return wcserr_set(WCSERR_SET(SPXERR_BAD_SPEC_VAR),
        "Invalid spectral variable: frequency == 0");
    }
    spx->freq = spec;
    spx->wavetype = 1;

  } else if (strcmp(type, "AFRQ") == 0) {
    if (spec == 0.0) {
      return wcserr_set(WCSERR_SET(SPXERR_BAD_SPEC_VAR),
        "Invalid spectral variable: frequency == 0");
    }
    spx->freq = spec/(2.0*PI);
    spx->wavetype = 1;

  } else if (strcmp(type, "ENER") == 0) {
    if (spec == 0.0) {
      return wcserr_set(WCSERR_SET(SPXERR_BAD_SPEC_VAR),
        "Invalid spectral variable: frequency == 0");
    }
    spx->freq = spec/h;
    spx->wavetype = 1;

  } else if (strcmp(type, "WAVN") == 0) {
    if (spec == 0.0) {
      return wcserr_set(WCSERR_SET(SPXERR_BAD_SPEC_VAR),
        "Invalid spectral variable: frequency == 0");
    }
    spx->freq = spec*C;
    spx->wavetype = 1;

  } else if (strcmp(type, "VRAD") == 0) {
    spx->freq = spx->restfrq*(1.0 - spec/C);
    spx->velotype = 1;

  } else if (strcmp(type, "WAVE") == 0) {
    if (spec == 0.0) {
      return wcserr_set(WCSERR_SET(SPXERR_BAD_SPEC_VAR),
        "Invalid spectral variable: frequency == 0");
    }
    spx->freq = C/spec;
    spx->wavetype = 1;

  } else if (strcmp(type, "VOPT") == 0) {
    s = 1.0 + spec/C;
    if (s == 0.0) {
      return wcserr_set(WCSERR_SET(SPXERR_BAD_SPEC_VAR),
        "Invalid spectral variable");
    }
    spx->freq = spx->restfrq/s;
    spx->velotype = 1;

  } else if (strcmp(type, "ZOPT") == 0) {
    s = 1.0 + spec;
    if (s == 0.0) {
      return wcserr_set(WCSERR_SET(SPXERR_BAD_SPEC_VAR),
        "Invalid spectral variable");
    }
    spx->freq = spx->restfrq/s;
    spx->velotype = 1;

  } else if (strcmp(type, "AWAV") == 0) {
    if (spec == 0.0) {
      return wcserr_set(WCSERR_SET(SPXERR_BAD_SPEC_VAR),
        "Invalid spectral variable");
    }
    s = 1.0/spec;
    s *= s;
    n  =   2.554e8 / (0.41e14 - s);
    n += 294.981e8 / (1.46e14 - s);
    n += 1.000064328;
    spx->freq = C/(spec*n);
    spx->wavetype = 1;

  } else if (strcmp(type, "VELO") == 0) {
    beta = spec/C;
    if (fabs(beta) == 1.0) {
      return wcserr_set(WCSERR_SET(SPXERR_BAD_SPEC_VAR),
        "Invalid spectral variable");
    }
    spx->freq = spx->restfrq*(1.0 - beta)/sqrt(1.0 - beta*beta);
    spx->velotype = 1;

  } else if (strcmp(type, "BETA") == 0) {
    if (fabs(spec) == 1.0) {
      return wcserr_set(WCSERR_SET(SPXERR_BAD_SPEC_VAR),
        "Invalid spectral variable");
    }
    spx->freq = spx->restfrq*(1.0 - spec)/sqrt(1.0 - spec*spec);
    spx->velotype = 1;

  } else {
    /* Unrecognized type. */
    return wcserr_set(WCSERR_SET(SPXERR_BAD_SPEC_PARAMS),
      "Unrecognized spectral type '%s'", type);
  }


  /* Convert frequency to the other spectral types. */
  n = 1.0;
  for (k = 0; k < 4; k++) {
    s = n*spx->freq/C;
    s *= s;
    t = 0.41e14 - s;
    u = 1.46e14 - s;
    n = 1.000064328 + (2.554e8/t + 294.981e8/u);
  }

  dwaveawav = n - 2.0*s*(2.554e8/(t*t) + 294.981e8/(u*u));

  s = spx->freq/spx->restfrq;

  spx->ener = spx->freq*h;
  spx->afrq = spx->freq*(2.0*PI);
  spx->wavn = spx->freq/C;
  spx->vrad = C*(1.0 - s);
  spx->wave = C/spx->freq;
  spx->awav = spx->wave/n;
  spx->vopt = C*(1.0/s - 1.0);
  spx->zopt = spx->vopt/C;
  spx->velo = C*(1.0 - s*s)/(1.0 + s*s);
  spx->beta = spx->velo/C;

  /* Compute the required derivatives. */
  gamma = 1.0/sqrt(1.0 - spx->beta*spx->beta);

  spx->dfreqafrq = 1.0/(2.0*PI);
  spx->dafrqfreq = 1.0/spx->dfreqafrq;

  spx->dfreqener = 1.0/h;
  spx->denerfreq = 1.0/spx->dfreqener;

  spx->dfreqwavn = C;
  spx->dwavnfreq = 1.0/spx->dfreqwavn;

  spx->dfreqvrad = -spx->restfrq/C;
  spx->dvradfreq = 1.0/spx->dfreqvrad;

  spx->dfreqwave = -spx->freq/spx->wave;
  spx->dwavefreq = 1.0/spx->dfreqwave;

  spx->dfreqawav = spx->dfreqwave * dwaveawav;
  spx->dawavfreq = 1.0/spx->dfreqawav;

  spx->dfreqvelo = -gamma*spx->restfrq/(C + spx->velo);
  spx->dvelofreq = 1.0/spx->dfreqvelo;

  spx->dwavevopt = spx->restwav/C;
  spx->dvoptwave = 1.0/spx->dwavevopt;

  spx->dwavezopt = spx->restwav;
  spx->dzoptwave = 1.0/spx->dwavezopt;

  spx->dwaveawav = dwaveawav;
  spx->dawavwave = 1.0/spx->dwaveawav;

  spx->dwavevelo = gamma*spx->restwav/(C - spx->velo);
  spx->dvelowave = 1.0/spx->dwavevelo;

  spx->dawavvelo = spx->dwavevelo/dwaveawav;
  spx->dveloawav = 1.0/spx->dawavvelo;

  spx->dvelobeta = C;
  spx->dbetavelo = 1.0/spx->dvelobeta;


  /* Reset values if no line rest frequency was supplied. */
  if (haverest) {
    spx->wavetype = 1;
    spx->velotype = 1;

  } else {
    spx->restfrq = 0.0;
    spx->restwav = 0.0;

    if (!spx->wavetype) {
      /* Don't have wave characteristic types. */
      spx->freq = 0.0;
      spx->afrq = 0.0;
      spx->ener = 0.0;
      spx->wavn = 0.0;
      spx->wave = 0.0;
      spx->awav = 0.0;

      spx->dfreqwave = 0.0;
      spx->dwavefreq = 0.0;

      spx->dfreqawav = 0.0;
      spx->dawavfreq = 0.0;

      spx->dwaveawav = 0.0;
      spx->dawavwave = 0.0;

    } else {
      /* Don't have velocity types. */
      spx->vrad = 0.0;
      spx->vopt = 0.0;
      spx->zopt = 0.0;
      spx->velo = 0.0;
      spx->beta = 0.0;
    }

    spx->dfreqvrad = 0.0;
    spx->dvradfreq = 0.0;

    spx->dfreqvelo = 0.0;
    spx->dvelofreq = 0.0;

    spx->dwavevopt = 0.0;
    spx->dvoptwave = 0.0;

    spx->dwavezopt = 0.0;
    spx->dzoptwave = 0.0;

    spx->dwavevelo = 0.0;
    spx->dvelowave = 0.0;

    spx->dawavvelo = 0.0;
    spx->dveloawav = 0.0;
  }

  return 0;
}

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

int spxperr(const struct spxprm *spx, const char *prefix)

{
  if (spx == 0x0) return SPXERR_NULL_POINTER;

  if (spx->err) {
    wcserr_prt(spx->err, prefix);
  }

  return 0;
}


/*============================================================================
*   Conversions between frequency and vacuum wavelength.
*===========================================================================*/

int freqwave(dummy, nfreq, sfreq, swave, freq, wave, stat)

double dummy;
int nfreq, sfreq, swave;
const double freq[];
double wave[];
int stat[];

{
  int status = 0;
  register int ifreq, *statp;
  register const double *freqp;
  register double *wavep;

  /* Avert nuisance compiler warnings about unused parameters. */
  (void)dummy;

  freqp = freq;
  wavep = wave;
  statp = stat;
  for (ifreq = 0; ifreq < nfreq; ifreq++) {
    if (*freqp != 0.0) {
      *wavep = C/(*freqp);
      *(statp++) = 0;
    } else {
      *(statp++) = 1;
      status = SPXERR_BAD_INSPEC_COORD;
    }

    freqp += sfreq;
    wavep += swave;
  }

  return status;
}

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

int wavefreq(dummy, nwave, swave, sfreq, wave, freq, stat)

double dummy;
int nwave, swave, sfreq;
const double wave[];
double freq[];
int stat[];

{
  int status = 0;
  register int iwave, *statp;
  register const double *wavep;
  register double *freqp;

  /* Avert nuisance compiler warnings about unused parameters. */
  (void)dummy;

  wavep = wave;
  freqp = freq;
  statp = stat;
  for (iwave = 0; iwave < nwave; iwave++) {
    if (*wavep != 0.0) {
      *freqp = C/(*wavep);
      *(statp++) = 0;
    } else {
      *(statp++) = 1;
      status = SPXERR_BAD_INSPEC_COORD;
    }

    wavep += swave;
    freqp += sfreq;
  }

  return status;
}

/*============================================================================
*   Conversions between frequency and air wavelength.
*===========================================================================*/

int freqawav(dummy, nfreq, sfreq, sawav, freq, awav, stat)

double dummy;
int nfreq, sfreq, sawav;
const double freq[];
double awav[];
int stat[];

{
  int status;

  if ((status = freqwave(dummy, nfreq, sfreq, sawav, freq, awav, stat))) {
    return status;
  }

  return waveawav(dummy, nfreq, sawav, sawav, awav, awav, stat);
}

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

int awavfreq(dummy, nawav, sawav, sfreq, awav, freq, stat)

double dummy;
int nawav, sawav, sfreq;
const double awav[];
double freq[];
int stat[];

{
  int status;

  if ((status = awavwave(dummy, nawav, sawav, sfreq, awav, freq, stat))) {
    return status;
  }

  return wavefreq(dummy, nawav, sfreq, sfreq, freq, freq, stat);
}

/*============================================================================
*   Conversions between frequency and relativistic velocity.
*===========================================================================*/

int freqvelo(restfrq, nfreq, sfreq, svelo, freq, velo, stat)

double restfrq;
int nfreq, sfreq, svelo;
const double freq[];
double velo[];
int stat[];

{
  double r, s;
  register int ifreq, *statp;
  register const double *freqp;
  register double *velop;

  r = restfrq*restfrq;

  freqp = freq;
  velop = velo;
  statp = stat;
  for (ifreq = 0; ifreq < nfreq; ifreq++) {
    s = *freqp * *freqp;
    *velop = C*(r - s)/(r + s);
    *(statp++) = 0;

    freqp += sfreq;
    velop += svelo;
  }

  return 0;
}

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

int velofreq(restfrq, nvelo, svelo, sfreq, velo, freq, stat)

double restfrq;
int nvelo, svelo, sfreq;
const double velo[];
double freq[];
int stat[];

{
  int status = 0;
  double s;
  register int ivelo, *statp;
  register const double *velop;
  register double *freqp;

  velop = velo;
  freqp = freq;
  statp = stat;
  for (ivelo = 0; ivelo < nvelo; ivelo++) {
    s = C + *velop;
    if (s != 0.0) {
      *freqp = restfrq*sqrt((C - *velop)/s);
      *(statp++) = 0;
    } else {
      *(statp++) = 1;
      status = SPXERR_BAD_INSPEC_COORD;
    }

    velop += svelo;
    freqp += sfreq;
  }

  return status;
}

/*============================================================================
*   Conversions between vacuum wavelength and air wavelength.
*===========================================================================*/

int waveawav(dummy, nwave, swave, sawav, wave, awav, stat)

double dummy;
int nwave, swave, sawav;
const double wave[];
double awav[];
int stat[];

{
  int status = 0;
  double n, s;
  register int iwave, k, *statp;
  register const double *wavep;
  register double *awavp;

  /* Avert nuisance compiler warnings about unused parameters. */
  (void)dummy;

  wavep = wave;
  awavp = awav;
  statp = stat;
  for (iwave = 0; iwave < nwave; iwave++) {
    if (*wavep != 0.0) {
      n = 1.0;
      for (k = 0; k < 4; k++) {
        s  = n/(*wavep);
        s *= s;
        n  =   2.554e8 / (0.41e14 - s);
        n += 294.981e8 / (1.46e14 - s);
        n += 1.000064328;
      }

      *awavp = (*wavep)/n;
      *(statp++) = 0;
    } else {
      *(statp++) = 1;
      status = SPXERR_BAD_INSPEC_COORD;
    }

    wavep += swave;
    awavp += sawav;
  }

  return status;
}

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

int awavwave(dummy, nawav, sawav, swave, awav, wave, stat)

double dummy;
int nawav, sawav, swave;
const double awav[];
double wave[];
int stat[];

{
  int status = 0;
  double n, s;
  register int iawav, *statp;
  register const double *awavp;
  register double *wavep;

  /* Avert nuisance compiler warnings about unused parameters. */
  (void)dummy;

  awavp = awav;
  wavep = wave;
  statp = stat;
  for (iawav = 0; iawav < nawav; iawav++) {
    if (*awavp != 0.0) {
      s = 1.0/(*awavp);
      s *= s;
      n  =   2.554e8 / (0.41e14 - s);
      n += 294.981e8 / (1.46e14 - s);
      n += 1.000064328;
      *wavep = (*awavp)*n;
      *(statp++) = 0;
    } else {
      *(statp++) = 1;
      status = SPXERR_BAD_INSPEC_COORD;
    }

    awavp += sawav;
    wavep += swave;
  }

  return status;
}

/*============================================================================
*   Conversions between vacuum wavelength and relativistic velocity.
*===========================================================================*/

int wavevelo(restwav, nwave, swave, svelo, wave, velo, stat)

double restwav;
int nwave, swave, svelo;
const double wave[];
double velo[];
int stat[];

{
  double r, s;
  register int iwave, *statp;
  register const double *wavep;
  register double *velop;

  r = restwav*restwav;

  wavep = wave;
  velop = velo;
  statp = stat;
  for (iwave = 0; iwave < nwave; iwave++) {
    s = *wavep * *wavep;
    *velop = C*(s - r)/(s + r);
    *(statp++) = 0;

    wavep += swave;
    velop += svelo;
  }

  return 0;
}

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

int velowave(restwav, nvelo, svelo, swave, velo, wave, stat)

double restwav;
int nvelo, svelo, swave;
const double velo[];
double wave[];
int stat[];

{
  int status = 0;
  double s;
  register int ivelo, *statp;
  register const double *velop;
  register double *wavep;

  velop = velo;
  wavep = wave;
  statp = stat;
  for (ivelo = 0; ivelo < nvelo; ivelo++) {
    s = C - *velop;
    if (s != 0.0) {
      *wavep = restwav*sqrt((C + *velop)/s);
      *(statp++) = 0;
    } else {
      *(statp++) = 1;
      status = SPXERR_BAD_INSPEC_COORD;
    }

    velop += svelo;
    wavep += swave;
  }

  return status;
}

/*============================================================================
*   Conversions between air wavelength and relativistic velocity.
*===========================================================================*/

int awavvelo(dummy, nawav, sawav, svelo, awav, velo, stat)

double dummy;
int nawav, sawav, svelo;
const double awav[];
double velo[];
int stat[];

{
  int status;

  if ((status = awavwave(dummy, nawav, sawav, svelo, awav, velo, stat))) {
    return status;
  }

  return wavevelo(dummy, nawav, svelo, svelo, velo, velo, stat);
}

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

int veloawav(dummy, nvelo, svelo, sawav, velo, awav, stat)

double dummy;
int nvelo, svelo, sawav;
const double velo[];
double awav[];
int stat[];

{
  int status;

  if ((status = velowave(dummy, nvelo, svelo, sawav, velo, awav, stat))) {
    return status;
  }

  return waveawav(dummy, nvelo, sawav, sawav, awav, awav, stat);
}

/*============================================================================
*   Conversions between frequency and angular frequency.
*===========================================================================*/

int freqafrq(dummy, nfreq, sfreq, safrq, freq, afrq, stat)

double dummy;
int nfreq, sfreq, safrq;
const double freq[];
double afrq[];
int stat[];

{
  register int ifreq, *statp;
  register const double *freqp;
  register double *afrqp;

  /* Avert nuisance compiler warnings about unused parameters. */
  (void)dummy;

  freqp = freq;
  afrqp = afrq;
  statp = stat;
  for (ifreq = 0; ifreq < nfreq; ifreq++) {
    *afrqp = (*freqp)*(2.0*PI);
    *(statp++) = 0;

    freqp += sfreq;
    afrqp += safrq;
  }

  return 0;
}

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

int afrqfreq(dummy, nafrq, safrq, sfreq, afrq, freq, stat)

double dummy;
int nafrq, safrq, sfreq;
const double afrq[];
double freq[];
int stat[];

{
  register int iafrq, *statp;
  register const double *afrqp;
  register double *freqp;

  /* Avert nuisance compiler warnings about unused parameters. */
  (void)dummy;

  afrqp = afrq;
  freqp = freq;
  statp = stat;
  for (iafrq = 0; iafrq < nafrq; iafrq++) {
    *freqp = (*afrqp)/(2.0*PI);
    *(statp++) = 0;

    afrqp += safrq;
    freqp += sfreq;
  }

  return 0;
}

/*============================================================================
*   Conversions between frequency and energy.
*===========================================================================*/

int freqener(dummy, nfreq, sfreq, sener, freq, ener, stat)

double dummy;
int nfreq, sfreq, sener;
const double freq[];
double ener[];
int stat[];

{
  register int ifreq, *statp;
  register const double *freqp;
  register double *enerp;

  /* Avert nuisance compiler warnings about unused parameters. */
  (void)dummy;

  freqp = freq;
  enerp = ener;
  statp = stat;
  for (ifreq = 0; ifreq < nfreq; ifreq++) {
    *enerp = (*freqp)*h;
    *(statp++) = 0;

    freqp += sfreq;
    enerp += sener;
  }

  return 0;
}

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

int enerfreq(dummy, nener, sener, sfreq, ener, freq, stat)

double dummy;
int nener, sener, sfreq;
const double ener[];
double freq[];
int stat[];

{
  register int iener, *statp;
  register const double *enerp;
  register double *freqp;

  /* Avert nuisance compiler warnings about unused parameters. */
  (void)dummy;

  enerp = ener;
  freqp = freq;
  statp = stat;
  for (iener = 0; iener < nener; iener++) {
    *freqp = (*enerp)/h;
    *(statp++) = 0;

    enerp += sener;
    freqp += sfreq;
  }

  return 0;
}

/*============================================================================
*   Conversions between frequency and wave number.
*===========================================================================*/

int freqwavn(dummy, nfreq, sfreq, swavn, freq, wavn, stat)

double dummy;
int nfreq, sfreq, swavn;
const double freq[];
double wavn[];
int stat[];

{
  register int ifreq, *statp;
  register const double *freqp;
  register double *wavnp;

  /* Avert nuisance compiler warnings about unused parameters. */
  (void)dummy;

  freqp = freq;
  wavnp = wavn;
  statp = stat;
  for (ifreq = 0; ifreq < nfreq; ifreq++) {
    *wavnp = (*freqp)/C;
    *(statp++) = 0;

    freqp += sfreq;
    wavnp += swavn;
  }

  return 0;
}

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

int wavnfreq(dummy, nwavn, swavn, sfreq, wavn, freq, stat)

double dummy;
int nwavn, swavn, sfreq;
const double wavn[];
double freq[];
int stat[];

{
  register int iwavn, *statp;
  register const double *wavnp;
  register double *freqp;

  /* Avert nuisance compiler warnings about unused parameters. */
  (void)dummy;

  wavnp = wavn;
  freqp = freq;
  statp = stat;
  for (iwavn = 0; iwavn < nwavn; iwavn++) {
    *freqp = (*wavnp)*C;
    *(statp++) = 0;

    wavnp += swavn;
    freqp += sfreq;
  }

  return 0;
}

/*============================================================================
*   Conversions between frequency and radio velocity.
*===========================================================================*/

int freqvrad(restfrq, nfreq, sfreq, svrad, freq, vrad, stat)

double restfrq;
int nfreq, sfreq, svrad;
const double freq[];
double vrad[];
int stat[];

{
  double r;
  register int ifreq, *statp;
  register const double *freqp;
  register double *vradp;

  if (restfrq == 0.0) {
    return SPXERR_BAD_SPEC_PARAMS;
  }
  r = C/restfrq;

  freqp = freq;
  vradp = vrad;
  statp = stat;
  for (ifreq = 0; ifreq < nfreq; ifreq++) {
    *vradp = r*(restfrq - *freqp);
    *(statp++) = 0;

    freqp += sfreq;
    vradp += svrad;
  }

  return 0;
}

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

int vradfreq(restfrq, nvrad, svrad, sfreq, vrad, freq, stat)

double restfrq;
int nvrad, svrad, sfreq;
const double vrad[];
double freq[];
int stat[];

{
  double r;
  register int ivrad, *statp;
  register const double *vradp;
  register double *freqp;

  r = restfrq/C;

  vradp = vrad;
  freqp = freq;
  statp = stat;
  for (ivrad = 0; ivrad < nvrad; ivrad++) {
    *freqp = r*(C - *vradp);
    *(statp++) = 0;
    vradp += svrad;
    freqp += sfreq;
  }

  return 0;
}

/*============================================================================
*   Conversions between vacuum wavelength and optical velocity.
*===========================================================================*/

int wavevopt(restwav, nwave, swave, svopt, wave, vopt, stat)

double restwav;
int nwave, swave, svopt;
const double wave[];
double vopt[];
int stat[];

{
  double r;
  register int iwave, *statp;
  register const double *wavep;
  register double *voptp;

  if (restwav == 0.0) {
    return SPXERR_BAD_SPEC_PARAMS;
  }
  r = C/restwav;

  wavep = wave;
  voptp = vopt;
  statp = stat;
  for (iwave = 0; iwave < nwave; iwave++) {
    *voptp = r*(*wavep) - C;
    *(statp++) = 0;
    wavep += swave;
    voptp += svopt;
  }

  return 0;
}

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

int voptwave(restwav, nvopt, svopt, swave, vopt, wave, stat)

double restwav;
int nvopt, svopt, swave;
const double vopt[];
double wave[];
int stat[];

{
  double r;
  register int ivopt, *statp;
  register const double *voptp;
  register double *wavep;

  r = restwav/C;

  voptp = vopt;
  wavep = wave;
  statp = stat;
  for (ivopt = 0; ivopt < nvopt; ivopt++) {
    *wavep = r*(C + *voptp);
    *(statp++) = 0;
    voptp += svopt;
    wavep += swave;
  }

  return 0;
}

/*============================================================================
*   Conversions between vacuum wavelength and redshift.
*===========================================================================*/

int wavezopt(restwav, nwave, swave, szopt, wave, zopt, stat)

double restwav;
int nwave, swave, szopt;
const double wave[];
double zopt[];
int stat[];

{
  double r;
  register int iwave, *statp;
  register const double *wavep;
  register double *zoptp;

  if (restwav == 0.0) {
    return SPXERR_BAD_SPEC_PARAMS;
  }
  r = 1.0/restwav;

  wavep = wave;
  zoptp = zopt;
  statp = stat;
  for (iwave = 0; iwave < nwave; iwave++) {
    *zoptp = r*(*wavep) - 1.0;
    *(statp++) = 0;
    wavep += swave;
    zoptp += szopt;
  }

  return 0;
}

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

int zoptwave(restwav, nzopt, szopt, swave, zopt, wave, stat)

double restwav;
int nzopt, szopt, swave;
const double zopt[];
double wave[];
int stat[];

{
  register int izopt, *statp;
  register const double *zoptp;
  register double *wavep;

  zoptp = zopt;
  wavep = wave;
  statp = stat;
  for (izopt = 0; izopt < nzopt; izopt++) {
    *wavep = restwav*(1.0 + *zoptp);
    *(statp++) = 0;
    zoptp += szopt;
    wavep += swave;
  }

  return 0;
}

/*============================================================================
*   Conversions between relativistic velocity and beta (= v/c).
*===========================================================================*/

int velobeta(dummy, nvelo, svelo, sbeta, velo, beta, stat)

double dummy;
int nvelo, svelo, sbeta;
const double velo[];
double beta[];
int stat[];

{
  register int ivelo, *statp;
  register const double *velop;
  register double *betap;

  /* Avert nuisance compiler warnings about unused parameters. */
  (void)dummy;

  velop = velo;
  betap = beta;
  statp = stat;
  for (ivelo = 0; ivelo < nvelo; ivelo++) {
    *betap = (*velop)/C;
    *(statp++) = 0;

    velop += svelo;
    betap += sbeta;
  }

  return 0;
}

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

int betavelo(dummy, nbeta, sbeta, svelo, beta, velo, stat)

double dummy;
int nbeta, sbeta, svelo;
const double beta[];
double velo[];
int stat[];

{
  register int ibeta, *statp;
  register const double *betap;
  register double *velop;

  /* Avert nuisance compiler warnings about unused parameters. */
  (void)dummy;

  betap = beta;
  velop = velo;
  statp = stat;
  for (ibeta = 0; ibeta < nbeta; ibeta++) {
    *velop = (*betap)*C;
    *(statp++) = 0;

    betap += sbeta;
    velop += svelo;
  }

  return 0;
}