WCSLIB 8.4

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spx.h
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1/*============================================================================
2 WCSLIB 8.4 - an implementation of the FITS WCS standard.
3 Copyright (C) 1995-2024, Mark Calabretta
4
5 This file is part of WCSLIB.
6
7 WCSLIB is free software: you can redistribute it and/or modify it under the
8 terms of the GNU Lesser General Public License as published by the Free
9 Software Foundation, either version 3 of the License, or (at your option)
10 any later version.
11
12 WCSLIB is distributed in the hope that it will be useful, but WITHOUT ANY
13 WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
14 FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for
15 more details.
16
17 You should have received a copy of the GNU Lesser General Public License
18 along with WCSLIB. If not, see http://www.gnu.org/licenses.
19
20 Author: Mark Calabretta, Australia Telescope National Facility, CSIRO.
21 http://www.atnf.csiro.au/people/Mark.Calabretta
22 $Id: spx.h,v 8.4 2024/10/28 13:56:16 mcalabre Exp $
23*=============================================================================
24*
25* WCSLIB 8.4 - C routines that implement the FITS World Coordinate System
26* (WCS) standard. Refer to the README file provided with WCSLIB for an
27* overview of the library.
28*
29*
30* Summary of the spx routines
31* ---------------------------
32* Routines in this suite implement the spectral coordinate systems recognized
33* by the FITS World Coordinate System (WCS) standard, as described in
34*
35= "Representations of world coordinates in FITS",
36= Greisen, E.W., & Calabretta, M.R. 2002, A&A, 395, 1061 (WCS Paper I)
37=
38= "Representations of spectral coordinates in FITS",
39= Greisen, E.W., Calabretta, M.R., Valdes, F.G., & Allen, S.L.
40= 2006, A&A, 446, 747 (WCS Paper III)
41*
42* specx() is a scalar routine that, given one spectral variable (e.g.
43* frequency), computes all the others (e.g. wavelength, velocity, etc.) plus
44* the required derivatives of each with respect to the others. The results
45* are returned in the spxprm struct.
46*
47* spxperr() prints the error message(s) (if any) stored in a spxprm struct.
48*
49* The remaining routines are all vector conversions from one spectral
50* variable to another. The API of these functions only differ in whether the
51* rest frequency or wavelength need be supplied.
52*
53* Non-linear:
54* - freqwave() frequency -> vacuum wavelength
55* - wavefreq() vacuum wavelength -> frequency
56*
57* - freqawav() frequency -> air wavelength
58* - awavfreq() air wavelength -> frequency
59*
60* - freqvelo() frequency -> relativistic velocity
61* - velofreq() relativistic velocity -> frequency
62*
63* - waveawav() vacuum wavelength -> air wavelength
64* - awavwave() air wavelength -> vacuum wavelength
65*
66* - wavevelo() vacuum wavelength -> relativistic velocity
67* - velowave() relativistic velocity -> vacuum wavelength
68*
69* - awavvelo() air wavelength -> relativistic velocity
70* - veloawav() relativistic velocity -> air wavelength
71*
72* Linear:
73* - freqafrq() frequency -> angular frequency
74* - afrqfreq() angular frequency -> frequency
75*
76* - freqener() frequency -> energy
77* - enerfreq() energy -> frequency
78*
79* - freqwavn() frequency -> wave number
80* - wavnfreq() wave number -> frequency
81*
82* - freqvrad() frequency -> radio velocity
83* - vradfreq() radio velocity -> frequency
84*
85* - wavevopt() vacuum wavelength -> optical velocity
86* - voptwave() optical velocity -> vacuum wavelength
87*
88* - wavezopt() vacuum wavelength -> redshift
89* - zoptwave() redshift -> vacuum wavelength
90*
91* - velobeta() relativistic velocity -> beta (= v/c)
92* - betavelo() beta (= v/c) -> relativistic velocity
93*
94* These are the workhorse routines, to be used for fast transformations.
95* Conversions may be done "in place" by calling the routine with the output
96* vector set to the input.
97*
98* Air-to-vacuum wavelength conversion:
99* ------------------------------------
100* The air-to-vacuum wavelength conversion in early drafts of WCS Paper III
101* cites Cox (ed., 2000, Allen’s Astrophysical Quantities, AIP Press,
102* Springer-Verlag, New York), which itself derives from Edlén (1953, Journal
103* of the Optical Society of America, 43, 339). This is the IAU standard,
104* adopted in 1957 and again in 1991. No more recent IAU resolution replaces
105* this relation, and it is the one used by WCSLIB.
106*
107* However, the Cox relation was replaced in later drafts of Paper III, and as
108* eventually published, by the IUGG relation (1999, International Union of
109* Geodesy and Geophysics, comptes rendus of the 22nd General Assembly,
110* Birmingham UK, p111). There is a nearly constant ratio between the two,
111* with IUGG/Cox = 1.000015 over most of the range between 200nm and 10,000nm.
112*
113* The IUGG relation itself is derived from the work of Ciddor (1996, Applied
114* Optics, 35, 1566), which is used directly by the Sloan Digital Sky Survey.
115* It agrees closely with Cox; longwards of 2500nm, the ratio Ciddor/Cox is
116* fixed at 1.000000021, decreasing only slightly, to 1.000000018, at 1000nm.
117*
118* The Cox, IUGG, and Ciddor relations all accurately provide the wavelength
119* dependence of the air-to-vacuum wavelength conversion. However, for full
120* accuracy, the atmospheric temperature, pressure, and partial pressure of
121* water vapour must be taken into account. These will determine a small,
122* wavelength-independent scale factor and offset, which is not considered by
123* WCS Paper III.
124*
125* WCS Paper III is also silent on the question of the range of validity of the
126* air-to-vacuum wavelength conversion. Cox's relation would appear to be
127* valid in the range 200nm to 10,000nm. Both the Cox and the Ciddor relations
128* have singularities below 200nm, with Cox's at 156nm and 83nm. WCSLIB checks
129* neither the range of validity, nor for these singularities.
130*
131* Argument checking:
132* ------------------
133* The input spectral values are only checked for values that would result
134* in floating point exceptions. In particular, negative frequencies and
135* wavelengths are allowed, as are velocities greater than the speed of
136* light. The same is true for the spectral parameters - rest frequency and
137* wavelength.
138*
139* Accuracy:
140* ---------
141* No warranty is given for the accuracy of these routines (refer to the
142* copyright notice); intending users must satisfy for themselves their
143* adequacy for the intended purpose. However, closure effectively to within
144* double precision rounding error was demonstrated by test routine tspec.c
145* which accompanies this software.
146*
147*
148* specx() - Spectral cross conversions (scalar)
149* ---------------------------------------------
150* Given one spectral variable specx() computes all the others, plus the
151* required derivatives of each with respect to the others.
152*
153* Given:
154* type const char*
155* The type of spectral variable given by spec, FREQ,
156* AFRQ, ENER, WAVN, VRAD, WAVE, VOPT, ZOPT, AWAV, VELO,
157* or BETA (case sensitive).
158*
159* spec double The spectral variable given, in SI units.
160*
161* restfrq,
162* restwav double Rest frequency [Hz] or rest wavelength in vacuo [m],
163* only one of which need be given. The other should be
164* set to zero. If both are zero, only a subset of the
165* spectral variables can be computed, the remainder are
166* set to zero. Specifically, given one of FREQ, AFRQ,
167* ENER, WAVN, WAVE, or AWAV the others can be computed
168* without knowledge of the rest frequency. Likewise,
169* VRAD, VOPT, ZOPT, VELO, and BETA.
170*
171* Given and returned:
172* specs struct spxprm*
173* Data structure containing all spectral variables and
174* their derivatives, in SI units.
175*
176* Function return value:
177* int Status return value:
178* 0: Success.
179* 1: Null spxprm pointer passed.
180* 2: Invalid spectral parameters.
181* 3: Invalid spectral variable.
182*
183* For returns > 1, a detailed error message is set in
184* spxprm::err if enabled, see wcserr_enable().
185*
186* freqafrq(), afrqfreq(), freqener(), enerfreq(), freqwavn(), wavnfreq(),
187* freqwave(), wavefreq(), freqawav(), awavfreq(), waveawav(), awavwave(),
188* velobeta(), and betavelo() implement vector conversions between wave-like
189* or velocity-like spectral types (i.e. conversions that do not need the rest
190* frequency or wavelength). They all have the same API.
191*
192*
193* spxperr() - Print error messages from a spxprm struct
194* -----------------------------------------------------
195* spxperr() prints the error message(s) (if any) stored in a spxprm struct.
196* If there are no errors then nothing is printed. It uses wcserr_prt(), q.v.
197*
198* Given:
199* spx const struct spxprm*
200* Spectral variables and their derivatives.
201*
202* prefix const char *
203* If non-NULL, each output line will be prefixed with
204* this string.
205*
206* Function return value:
207* int Status return value:
208* 0: Success.
209* 1: Null spxprm pointer passed.
210*
211*
212* freqafrq() - Convert frequency to angular frequency (vector)
213* ------------------------------------------------------------
214* freqafrq() converts frequency to angular frequency.
215*
216* Given:
217* param double Ignored.
218*
219* nspec int Vector length.
220*
221* instep,
222* outstep int Vector strides.
223*
224* inspec const double[]
225* Input spectral variables, in SI units.
226*
227* Returned:
228* outspec double[] Output spectral variables, in SI units.
229*
230* stat int[] Status return value for each vector element:
231* 0: Success.
232* 1: Invalid value of inspec.
233*
234* Function return value:
235* int Status return value:
236* 0: Success.
237* 2: Invalid spectral parameters.
238* 4: One or more of the inspec coordinates were
239* invalid, as indicated by the stat vector.
240*
241*
242* freqvelo(), velofreq(), freqvrad(), and vradfreq() implement vector
243* conversions between frequency and velocity spectral types. They all have
244* the same API.
245*
246*
247* freqvelo() - Convert frequency to relativistic velocity (vector)
248* ----------------------------------------------------------------
249* freqvelo() converts frequency to relativistic velocity.
250*
251* Given:
252* param double Rest frequency [Hz].
253*
254* nspec int Vector length.
255*
256* instep,
257* outstep int Vector strides.
258*
259* inspec const double[]
260* Input spectral variables, in SI units.
261*
262* Returned:
263* outspec double[] Output spectral variables, in SI units.
264*
265* stat int[] Status return value for each vector element:
266* 0: Success.
267* 1: Invalid value of inspec.
268*
269* Function return value:
270* int Status return value:
271* 0: Success.
272* 2: Invalid spectral parameters.
273* 4: One or more of the inspec coordinates were
274* invalid, as indicated by the stat vector.
275*
276*
277* wavevelo(), velowave(), awavvelo(), veloawav(), wavevopt(), voptwave(),
278* wavezopt(), and zoptwave() implement vector conversions between wavelength
279* and velocity spectral types. They all have the same API.
280*
281*
282* wavevelo() - Conversions between wavelength and velocity types (vector)
283* -----------------------------------------------------------------------
284* wavevelo() converts vacuum wavelength to relativistic velocity.
285*
286* Given:
287* param double Rest wavelength in vacuo [m].
288*
289* nspec int Vector length.
290*
291* instep,
292* outstep int Vector strides.
293*
294* inspec const double[]
295* Input spectral variables, in SI units.
296*
297* Returned:
298* outspec double[] Output spectral variables, in SI units.
299*
300* stat int[] Status return value for each vector element:
301* 0: Success.
302* 1: Invalid value of inspec.
303*
304* Function return value:
305* int Status return value:
306* 0: Success.
307* 2: Invalid spectral parameters.
308* 4: One or more of the inspec coordinates were
309* invalid, as indicated by the stat vector.
310*
311*
312* spxprm struct - Spectral variables and their derivatives
313* --------------------------------------------------------
314* The spxprm struct contains the value of all spectral variables and their
315* derivatives. It is used solely by specx() which constructs it from
316* information provided via its function arguments.
317*
318* This struct should be considered read-only, no members need ever be set nor
319* should ever be modified by the user.
320*
321* double restfrq
322* (Returned) Rest frequency [Hz].
323*
324* double restwav
325* (Returned) Rest wavelength [m].
326*
327* int wavetype
328* (Returned) True if wave types have been computed, and ...
329*
330* int velotype
331* (Returned) ... true if velocity types have been computed; types are
332* defined below.
333*
334* If one or other of spxprm::restfrq and spxprm::restwav is given
335* (non-zero) then all spectral variables may be computed. If both are
336* given, restfrq is used. If restfrq and restwav are both zero, only wave
337* characteristic xor velocity type spectral variables may be computed
338* depending on the variable given. These flags indicate what is
339* available.
340*
341* double freq
342* (Returned) Frequency [Hz] (wavetype).
343*
344* double afrq
345* (Returned) Angular frequency [rad/s] (wavetype).
346*
347* double ener
348* (Returned) Photon energy [J] (wavetype).
349*
350* double wavn
351* (Returned) Wave number [/m] (wavetype).
352*
353* double vrad
354* (Returned) Radio velocity [m/s] (velotype).
355*
356* double wave
357* (Returned) Vacuum wavelength [m] (wavetype).
358*
359* double vopt
360* (Returned) Optical velocity [m/s] (velotype).
361*
362* double zopt
363* (Returned) Redshift [dimensionless] (velotype).
364*
365* double awav
366* (Returned) Air wavelength [m] (wavetype).
367*
368* double velo
369* (Returned) Relativistic velocity [m/s] (velotype).
370*
371* double beta
372* (Returned) Relativistic beta [dimensionless] (velotype).
373*
374* double dfreqafrq
375* (Returned) Derivative of frequency with respect to angular frequency
376* [/rad] (constant, = 1 / 2*pi), and ...
377* double dafrqfreq
378* (Returned) ... vice versa [rad] (constant, = 2*pi, always available).
379*
380* double dfreqener
381* (Returned) Derivative of frequency with respect to photon energy
382* [/J/s] (constant, = 1/h), and ...
383* double denerfreq
384* (Returned) ... vice versa [Js] (constant, = h, Planck's constant,
385* always available).
386*
387* double dfreqwavn
388* (Returned) Derivative of frequency with respect to wave number [m/s]
389* (constant, = c, the speed of light in vacuo), and ...
390* double dwavnfreq
391* (Returned) ... vice versa [s/m] (constant, = 1/c, always available).
392*
393* double dfreqvrad
394* (Returned) Derivative of frequency with respect to radio velocity [/m],
395* and ...
396* double dvradfreq
397* (Returned) ... vice versa [m] (wavetype && velotype).
398*
399* double dfreqwave
400* (Returned) Derivative of frequency with respect to vacuum wavelength
401* [/m/s], and ...
402* double dwavefreq
403* (Returned) ... vice versa [m s] (wavetype).
404*
405* double dfreqawav
406* (Returned) Derivative of frequency with respect to air wavelength,
407* [/m/s], and ...
408* double dawavfreq
409* (Returned) ... vice versa [m s] (wavetype).
410*
411* double dfreqvelo
412* (Returned) Derivative of frequency with respect to relativistic
413* velocity [/m], and ...
414* double dvelofreq
415* (Returned) ... vice versa [m] (wavetype && velotype).
416*
417* double dwavevopt
418* (Returned) Derivative of vacuum wavelength with respect to optical
419* velocity [s], and ...
420* double dvoptwave
421* (Returned) ... vice versa [/s] (wavetype && velotype).
422*
423* double dwavezopt
424* (Returned) Derivative of vacuum wavelength with respect to redshift [m],
425* and ...
426* double dzoptwave
427* (Returned) ... vice versa [/m] (wavetype && velotype).
428*
429* double dwaveawav
430* (Returned) Derivative of vacuum wavelength with respect to air
431* wavelength [dimensionless], and ...
432* double dawavwave
433* (Returned) ... vice versa [dimensionless] (wavetype).
434*
435* double dwavevelo
436* (Returned) Derivative of vacuum wavelength with respect to relativistic
437* velocity [s], and ...
438* double dvelowave
439* (Returned) ... vice versa [/s] (wavetype && velotype).
440*
441* double dawavvelo
442* (Returned) Derivative of air wavelength with respect to relativistic
443* velocity [s], and ...
444* double dveloawav
445* (Returned) ... vice versa [/s] (wavetype && velotype).
446*
447* double dvelobeta
448* (Returned) Derivative of relativistic velocity with respect to
449* relativistic beta [m/s] (constant, = c, the speed of light in vacuo),
450* and ...
451* double dbetavelo
452* (Returned) ... vice versa [s/m] (constant, = 1/c, always available).
453*
454* struct wcserr *err
455* (Returned) If enabled, when an error status is returned, this struct
456* contains detailed information about the error, see wcserr_enable().
457*
458* void *padding
459* (An unused variable inserted for alignment purposes only.)
460*
461*
462* Global variable: const char *spx_errmsg[] - Status return messages
463* ------------------------------------------------------------------
464* Error messages to match the status value returned from each function.
465*
466*===========================================================================*/
467
468#ifndef WCSLIB_SPEC
469#define WCSLIB_SPEC
470
471#ifdef __cplusplus
472 extern "C" {
473#endif
474
475 extern const char *spx_errmsg[];
476
477 enum spx_errmsg {
478 SPXERR_SUCCESS = 0, // Success.
479 SPXERR_NULL_POINTER = 1, // Null spxprm pointer passed.
480 SPXERR_BAD_SPEC_PARAMS = 2, // Invalid spectral parameters.
481 SPXERR_BAD_SPEC_VAR = 3, // Invalid spectral variable.
482 SPXERR_BAD_INSPEC_COORD = 4 // One or more of the inspec coordinates were
483 // invalid.
484};
485
486 struct spxprm {
487 double restfrq, restwav; // Rest frequency [Hz] and wavelength [m].
488
489 int wavetype, velotype; // True if wave/velocity types have been
490 // computed; types are defined below.
491
492 // Spectral variables computed by specx().
493 //--------------------------------------------------------------------------
494 double freq, // wavetype: Frequency [Hz].
495 afrq, // wavetype: Angular frequency [rad/s].
496 ener, // wavetype: Photon energy [J].
497 wavn, // wavetype: Wave number [/m].
498 vrad, // velotype: Radio velocity [m/s].
499 wave, // wavetype: Vacuum wavelength [m].
500 vopt, // velotype: Optical velocity [m/s].
501 zopt, // velotype: Redshift.
502 awav, // wavetype: Air wavelength [m].
503 velo, // velotype: Relativistic velocity [m/s].
504 beta; // velotype: Relativistic beta.
505
506 // Derivatives of spectral variables computed by specx().
507 //--------------------------------------------------------------------------
508 double dfreqafrq, dafrqfreq, // Constant, always available.
509 dfreqener, denerfreq, // Constant, always available.
510 dfreqwavn, dwavnfreq, // Constant, always available.
511 dfreqvrad, dvradfreq, // wavetype && velotype.
512 dfreqwave, dwavefreq, // wavetype.
513 dfreqawav, dawavfreq, // wavetype.
514 dfreqvelo, dvelofreq, // wavetype && velotype.
515 dwavevopt, dvoptwave, // wavetype && velotype.
516 dwavezopt, dzoptwave, // wavetype && velotype.
517 dwaveawav, dawavwave, // wavetype.
518 dwavevelo, dvelowave, // wavetype && velotype.
519 dawavvelo, dveloawav, // wavetype && velotype.
520 dvelobeta, dbetavelo; // Constant, always available.
521
522 // Error handling
523 //--------------------------------------------------------------------------
524 struct wcserr *err;
525
526 // Private
527 //--------------------------------------------------------------------------
528 void *padding; // (Dummy inserted for alignment purposes.)
529};
530
531// Size of the spxprm struct in int units, used by the Fortran wrappers.
532#define SPXLEN (sizeof(struct spxprm)/sizeof(int))
533
534
535 int specx(const char *type, double spec, double restfrq, double restwav,
536 struct spxprm *specs);
537
538 int spxperr(const struct spxprm *spx, const char *prefix);
539
540// For use in declaring function prototypes, e.g. in spcprm.
541#define SPX_ARGS double param, int nspec, int instep, int outstep, \
542 const double inspec[], double outspec[], int stat[]
543
544 int freqafrq(SPX_ARGS);
545 int afrqfreq(SPX_ARGS);
546
547 int freqener(SPX_ARGS);
548 int enerfreq(SPX_ARGS);
549
550 int freqwavn(SPX_ARGS);
551 int wavnfreq(SPX_ARGS);
552
553 int freqwave(SPX_ARGS);
554 int wavefreq(SPX_ARGS);
555
556 int freqawav(SPX_ARGS);
557 int awavfreq(SPX_ARGS);
558
559 int waveawav(SPX_ARGS);
560 int awavwave(SPX_ARGS);
561
562 int velobeta(SPX_ARGS);
563 int betavelo(SPX_ARGS);
564
565
566 int freqvelo(SPX_ARGS);
567 int velofreq(SPX_ARGS);
568
569 int freqvrad(SPX_ARGS);
570 int vradfreq(SPX_ARGS);
571
572
573 int wavevelo(SPX_ARGS);
574 int velowave(SPX_ARGS);
575
576 int awavvelo(SPX_ARGS);
577 int veloawav(SPX_ARGS);
578
579 int wavevopt(SPX_ARGS);
580 int voptwave(SPX_ARGS);
581
582 int wavezopt(SPX_ARGS);
583 int zoptwave(SPX_ARGS);
584
585
586#ifdef __cplusplus
587}
588#endif
589
590#endif // WCSLIB_SPEC
wavevelo
int wavevelo(SPX_ARGS)
Conversions between wavelength and velocity types (vector).
betavelo
int betavelo(SPX_ARGS)
Convert relativistic beta to relativistic velocity (vector).
awavfreq
int awavfreq(SPX_ARGS)
Convert air wavelength to frequency (vector).
specx
int specx(const char *type, double spec, double restfrq, double restwav, struct spxprm *specs)
Spectral cross conversions (scalar).
freqawav
int freqawav(SPX_ARGS)
Convert frequency to air wavelength (vector).
awavwave
int awavwave(SPX_ARGS)
Convert air wavelength to vacuum wavelength (vector).
spxperr
int spxperr(const struct spxprm *spx, const char *prefix)
Print error messages from a spxprm struct.
freqwave
int freqwave(SPX_ARGS)
Convert frequency to vacuum wavelength (vector).
wavezopt
int wavezopt(SPX_ARGS)
Convert vacuum wavelength to redshift (vector).
veloawav
int veloawav(SPX_ARGS)
Convert relativistic velocity to air wavelength (vector).
waveawav
int waveawav(SPX_ARGS)
Convert vacuum wavelength to air wavelength (vector).
freqener
int freqener(SPX_ARGS)
Convert frequency to photon energy (vector).
wavnfreq
int wavnfreq(SPX_ARGS)
Convert wave number to frequency (vector).
wavevopt
int wavevopt(SPX_ARGS)
Convert vacuum wavelength to optical velocity (vector).
wavefreq
int wavefreq(SPX_ARGS)
Convert vacuum wavelength to frequency (vector).
freqafrq
int freqafrq(SPX_ARGS)
Convert frequency to angular frequency (vector).
vradfreq
int vradfreq(SPX_ARGS)
Convert radio velocity to frequency (vector).
SPX_ARGS
#define SPX_ARGS
For use in declaring spectral conversion function prototypes.
Definition spx.h:541
enerfreq
int enerfreq(SPX_ARGS)
Convert photon energy to frequency (vector).
velobeta
int velobeta(SPX_ARGS)
Convert relativistic velocity to relativistic beta (vector).
velofreq
int velofreq(SPX_ARGS)
Convert relativistic velocity to frequency (vector).
freqwavn
int freqwavn(SPX_ARGS)
Convert frequency to wave number (vector).
freqvelo
int freqvelo(SPX_ARGS)
Convert frequency to relativistic velocity (vector).
voptwave
int voptwave(SPX_ARGS)
Convert optical velocity to vacuum wavelength (vector).
velowave
int velowave(SPX_ARGS)
Convert relativistic velocity to vacuum wavelength (vector).
afrqfreq
int afrqfreq(SPX_ARGS)
Convert angular frequency to frequency (vector).
spx_errmsg
spx_errmsg
Status return messages.
Definition spx.h:477
SPXERR_BAD_SPEC_PARAMS
@ SPXERR_BAD_SPEC_PARAMS
Definition spx.h:480
SPXERR_SUCCESS
@ SPXERR_SUCCESS
Definition spx.h:478
SPXERR_BAD_SPEC_VAR
@ SPXERR_BAD_SPEC_VAR
Definition spx.h:481
SPXERR_NULL_POINTER
@ SPXERR_NULL_POINTER
Definition spx.h:479
SPXERR_BAD_INSPEC_COORD
@ SPXERR_BAD_INSPEC_COORD
Definition spx.h:482
zoptwave
int zoptwave(SPX_ARGS)
Convert redshift to vacuum wavelength (vector).
freqvrad
int freqvrad(SPX_ARGS)
Convert frequency to radio velocity (vector).
awavvelo
int awavvelo(SPX_ARGS)
Convert air wavelength to relativistic velocity (vector).
spxprm
Spectral variables and their derivatives.
Definition spx.h:486
spxprm::dvelobeta
double dvelobeta
Definition spx.h:520
spxprm::vopt
double vopt
Definition spx.h:500
spxprm::dvradfreq
double dvradfreq
Definition spx.h:511
spxprm::dwavezopt
double dwavezopt
Definition spx.h:516
spxprm::dfreqvelo
double dfreqvelo
Definition spx.h:514
spxprm::wavetype
int wavetype
Definition spx.h:489
spxprm::denerfreq
double denerfreq
Definition spx.h:509
spxprm::dwavevopt
double dwavevopt
Definition spx.h:515
spxprm::dwavnfreq
double dwavnfreq
Definition spx.h:510
spxprm::vrad
double vrad
Definition spx.h:498
spxprm::velo
double velo
Definition spx.h:503
spxprm::restfrq
double restfrq
Definition spx.h:487
spxprm::dveloawav
double dveloawav
Definition spx.h:519
spxprm::afrq
double afrq
Definition spx.h:495
spxprm::dvelofreq
double dvelofreq
Definition spx.h:514
spxprm::dafrqfreq
double dafrqfreq
Definition spx.h:508
spxprm::beta
double beta
Definition spx.h:504
spxprm::dvoptwave
double dvoptwave
Definition spx.h:515
spxprm::dwavevelo
double dwavevelo
Definition spx.h:518
spxprm::dawavwave
double dawavwave
Definition spx.h:517
spxprm::wave
double wave
Definition spx.h:499
spxprm::dawavvelo
double dawavvelo
Definition spx.h:519
spxprm::dzoptwave
double dzoptwave
Definition spx.h:516
spxprm::dwavefreq
double dwavefreq
Definition spx.h:512
spxprm::zopt
double zopt
Definition spx.h:501
spxprm::dfreqvrad
double dfreqvrad
Definition spx.h:511
spxprm::dfreqwave
double dfreqwave
Definition spx.h:512
spxprm::wavn
double wavn
Definition spx.h:497
spxprm::dfreqener
double dfreqener
Definition spx.h:509
spxprm::dfreqawav
double dfreqawav
Definition spx.h:513
spxprm::dfreqafrq
double dfreqafrq
Definition spx.h:508
spxprm::ener
double ener
Definition spx.h:496
spxprm::dfreqwavn
double dfreqwavn
Definition spx.h:510
spxprm::padding
void * padding
Definition spx.h:528
spxprm::dawavfreq
double dawavfreq
Definition spx.h:513
spxprm::dbetavelo
double dbetavelo
Definition spx.h:520
spxprm::dvelowave
double dvelowave
Definition spx.h:518
spxprm::restwav
double restwav
Definition spx.h:487
spxprm::velotype
int velotype
Definition spx.h:489
spxprm::err
struct wcserr * err
Definition spx.h:524
spxprm::awav
double awav
Definition spx.h:502
spxprm::dwaveawav
double dwaveawav
Definition spx.h:517
spxprm::freq
double freq
Definition spx.h:494
wcserr
Error message handling.
Definition wcserr.h:243