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//
// GENERATED FILE
//
use *;
use crateSpiceContext;
use *;
const CNVTOL: f64 = 0.000001;
const NWMAX: i32 = 15;
const NWDIST: i32 = 5;
const NWSEP: i32 = 5;
const NWRR: i32 = 5;
const NWUDS: i32 = 5;
const NWPA: i32 = 5;
const NWILUM: i32 = 5;
const ADDWIN: f64 = 0.5;
const FRMNLN: i32 = 32;
const FOVTLN: i32 = 40;
const FTCIRC: & = b"CIRCLE";
const FTELLI: & = b"ELLIPSE";
const FTPOLY: & = b"POLYGON";
const FTRECT: & = b"RECTANGLE";
const ANNULR: & = b"ANNULAR";
const ANY: & = b"ANY";
const PARTL: & = b"PARTIAL";
const FULL: & = b"FULL";
const DSSHAP: & = b"DSK";
const EDSHAP: & = b"ELLIPSOID";
const PTSHAP: & = b"POINT";
const RYSHAP: & = b"RAY";
const SPSHAP: & = b"SPHERE";
const NOCTYP: i32 = 4;
const OCLLN: i32 = 7;
const SHPLEN: i32 = 9;
const MAXVRT: i32 = 10000;
const CIRFOV: & = b"CIRCLE";
const ELLFOV: & = b"ELLIPSE";
const POLFOV: & = b"POLYGON";
const RECFOV: & = b"RECTANGLE";
const RECSYS: & = b"RECTANGULAR";
const LATSYS: & = b"LATITUDINAL";
const SPHSYS: & = b"SPHERICAL";
const RADSYS: & = b"RA/DEC";
const CYLSYS: & = b"CYLINDRICAL";
const GEOSYS: & = b"GEODETIC";
const PGRSYS: & = b"PLANETOGRAPHIC";
const XCRD: & = b"X";
const YCRD: & = b"Y";
const ZCRD: & = b"Z";
const RADCRD: & = b"RADIUS";
const LONCRD: & = b"LONGITUDE";
const LATCRD: & = b"LATITUDE";
const RACRD: & = b"RIGHT ASCENSION";
const DECCRD: & = b"DECLINATION";
const RNGCRD: & = b"RANGE";
const CLTCRD: & = b"COLATITUDE";
const ALTCRD: & = b"ALTITUDE";
const POSDEF: & = b"POSITION";
const SOBDEF: & = b"SUB-OBSERVER POINT";
const SINDEF: & = b"SURFACE INTERCEPT POINT";
const NWREL: i32 = 5;
const NWLONG: i32 = 7;
const EXWIDX: i32 = ;
const MXBEGM: i32 = 55;
const MXENDM: i32 = 13;
const MXMSG: i32 = ;
const NABCOR: i32 = 15;
const ABATSZ: i32 = 6;
const GEOIDX: i32 = 1;
const LTIDX: i32 = ;
const STLIDX: i32 = ;
const CNVIDX: i32 = ;
const XMTIDX: i32 = ;
const RELIDX: i32 = ;
const CORLEN: i32 = 5;
const ZZGET: i32 = -1;
const ZZPUT: i32 = -2;
const ZZRESET: i32 = -3;
const ZZNOP: i32 = 3;
const GEN: i32 = 1;
const GF_REF: i32 = 2;
const GF_TOL: i32 = 3;
const GF_DT: i32 = 4;
const NID: i32 = 4;
const LBCELL: i32 = -5;
const LNSIZE: i32 = 80;
const QNPARS: i32 = 10;
const NOBAIL: bool = false;
const NORPT: bool = false;
/// GF, subpoint vector coordinate search
///
/// Determine time intervals for which a coordinate of an
/// subpoint position vector satisfies a numerical constraint.
///
/// # Required Reading
///
/// * [GF](crate::required_reading::gf)
/// * [SPK](crate::required_reading::spk)
/// * [CK](crate::required_reading::ck)
/// * [TIME](crate::required_reading::time)
/// * [WINDOWS](crate::required_reading::windows)
///
/// # Brief I/O
///
/// ```text
/// VARIABLE I/O DESCRIPTION
/// -------- --- --------------------------------------------------
/// LBCELL P SPICE Cell lower bound.
/// CNVTOL P Convergence tolerance.
/// TARGET I Name of the target body.
/// FIXREF I Body fixed frame associated with TARGET.
/// METHOD I Name of method type for subpoint calculation.
/// ABCORR I Aberration correction flag.
/// OBSRVR I Name of the observing body.
/// CRDSYS I Name of the coordinate system containing COORD.
/// COORD I Name of the coordinate of interest.
/// RELATE I Relational operator.
/// REFVAL I Reference value.
/// ADJUST I Adjustment value for absolute extrema searches.
/// STEP I Step size used for locating extrema and roots.
/// CNFINE I SPICE window to which the search is confined.
/// MW I Workspace window size.
/// NW I The number of workspace windows needed for
/// the search.
/// WORK O Array of workspace windows.
/// RESULT I-O SPICE window containing results.
/// ```
///
/// # Detailed Input
///
/// ```text
/// TARGET is the string name of a target body. Optionally, you may
/// supply the integer ID code for the object as an
/// integer string. For example both 'MOON' and '301'
/// are legitimate strings that indicate the moon is the
/// target body.
///
/// The target and observer define a position vector
/// that points from the observer to the target.
///
/// FIXREF is the string name of the body-fixed, body-centered
/// reference frame associated with the target body TARGET.
///
/// The SPICE frame subsystem must recognize the 'fixref'
/// name.
///
/// METHOD is the string name of the method to use for the subpoint
/// calculation. The accepted values for METHOD:
///
/// 'Near point: ellipsoid' The sub-observer point
/// computation uses a
/// triaxial ellipsoid to
/// model the surface of the
/// target body. The
/// sub-observer point is
/// defined as the nearest
/// point on the target
/// relative to the
/// observer.
///
/// 'Intercept: ellipsoid' The sub-observer point
/// computation uses a
/// triaxial ellipsoid to
/// model the surface of the
/// target body. The
/// sub-observer point is
/// defined as the target
/// surface intercept of the
/// line containing the
/// observer and the
/// target's center.
///
/// The METHOD string lacks sensitivity to case, embedded,
/// leading and trailing blanks.
///
/// ABCORR is the string description of the aberration corrections
/// to apply to the state evaluations to account for one-way
/// light time and stellar aberration.
///
/// This routine accepts the same aberration corrections
/// as does the SPICE routine SPKEZR. See the header of
/// SPKEZR for a detailed description of the aberration
/// correction options. For convenience, the options are
/// listed below:
///
/// 'NONE' Apply no correction. Returns the "true"
/// geometric state.
///
/// 'LT' "Reception" case: correct for
/// one-way light time using a Newtonian
/// formulation.
///
/// 'LT+S' "Reception" case: correct for
/// one-way light time and stellar
/// aberration using a Newtonian
/// formulation.
///
/// 'CN' "Reception" case: converged
/// Newtonian light time correction.
///
/// 'CN+S' "Reception" case: converged
/// Newtonian light time and stellar
/// aberration corrections.
///
/// 'XLT' "Transmission" case: correct for
/// one-way light time using a Newtonian
/// formulation.
///
/// 'XLT+S' "Transmission" case: correct for
/// one-way light time and stellar
/// aberration using a Newtonian
/// formulation.
///
/// 'XCN' "Transmission" case: converged
/// Newtonian light time correction.
///
/// 'XCN+S' "Transmission" case: converged
/// Newtonian light time and stellar
/// aberration corrections.
///
/// The ABCORR string lacks sensitivity to case, leading
/// and trailing blanks.
///
/// OBSRVR is the string name of an observing body. Optionally, you
/// may supply the ID code of the object as an integer
/// string. For example, both 'EARTH' and '399' are
/// legitimate strings to indicate that the observer is the
/// Earth.
///
/// CRDSYS is the string name of the coordinate system for which the
/// coordinate of interest is a member.
///
/// COORD is the string name of the coordinate of interest in
/// CRDSYS.
///
/// The supported coordinate systems and coordinate names:
///
/// CRDSYS COORD Range
/// ---------------- ----------------- ------------
///
/// 'RECTANGULAR' 'X'
/// 'Y'
/// 'Z'
///
/// 'LATITUDINAL' 'RADIUS'
/// 'LONGITUDE' (-Pi,Pi]
/// 'LATITUDE' [-Pi/2,Pi/2]
///
/// 'RA/DEC' 'RANGE'
/// 'RIGHT ASCENSION' [0,2Pi)
/// 'DECLINATION' [-Pi/2,Pi/2]
///
/// 'SPHERICAL' 'RADIUS'
/// 'COLATITUDE' [0,Pi]
/// 'LONGITUDE' (-Pi,Pi]
///
/// 'CYLINDRICAL' 'RADIUS'
/// 'LONGITUDE' [0,2Pi)
/// 'Z'
///
/// 'GEODETIC' 'LONGITUDE' (-Pi,Pi]
/// 'LATITUDE' [-Pi/2,Pi/2]
/// 'ALTITUDE'
///
/// 'PLANETOGRAPHIC' 'LONGITUDE' [0,2Pi)
/// 'LATITUDE' [-Pi/2,Pi/2]
/// 'ALTITUDE'
///
/// The 'ALTITUDE' coordinates have a constant value of
/// zero +/- roundoff for ellipsoid targets.
///
/// Limit searches for coordinate events in the 'GEODETIC'
/// and 'PLANETOGRAPHIC' coordinate systems to TARGET bodies
/// with axial symmetry in the equatorial plane, i.e.
/// equality of the body X and Y radii (oblate or prolate
/// spheroids).
///
/// Searches on 'GEODETIC' or 'PLANETOGRAPHIC' coordinates
/// requires body shape data, and in the case of
/// 'PLANETOGRAPHIC' coordinates, body rotation data.
///
/// The body associated with 'GEODETIC' or 'PLANETOGRAPHIC'
/// coordinates is the center of the frame FIXREF.
///
/// RELATE is the string or character describing the relational
/// operator used to define a constraint on the selected
/// coordinate of the subpoint vector. The result
/// window found by this routine indicates the time intervals
/// where the constraint is satisfied. Supported values of
/// RELATE and corresponding meanings are shown below:
///
/// '>' The coordinate value is greater than the
/// reference value REFVAL.
///
/// '=' The coordinate value is equal to the
/// reference value REFVAL.
///
/// '<' The coordinate value is less than the
/// reference value REFVAL.
///
/// 'ABSMAX' The coordinate value is at an absolute
/// maximum.
///
/// 'ABSMIN' The coordinate value is at an absolute
/// minimum.
///
/// 'LOCMAX' The coordinate value is at a local
/// maximum.
///
/// 'LOCMIN' The coordinate value is at a local
/// minimum.
///
/// The caller may indicate that the region of interest
/// is the set of time intervals where the quantity is
/// within a specified measure of an absolute extremum.
/// The argument ADJUST (described below) is used to
/// specify this measure.
///
/// Local extrema are considered to exist only in the
/// interiors of the intervals comprising the confinement
/// window: a local extremum cannot exist at a boundary
/// point of the confinement window.
///
/// The RELATE string lacks sensitivity to case, leading
/// and trailing blanks.
///
/// REFVAL is the double precision reference value used together
/// with the argument RELATE to define an equality or
/// inequality to satisfy by the selected coordinate of the
/// subpoint vector. See the discussion of RELATE above for
/// further information.
///
/// The units of REFVAL correspond to the type as defined
/// by COORD, radians for angular measures, kilometers for
/// distance measures.
///
/// ADJUST is a double precision value used to modify searches for
/// absolute extrema: when RELATE is set to 'ABSMAX' or
/// 'ABSMIN' and ADJUST is set to a positive value, GFSUBC
/// finds times when the subpoint position vector coordinate
/// is within ADJUST radians/kilometers of the specified
/// extreme value.
///
/// For RELATE set to 'ABSMAX', the RESULT window contains
/// time intervals when the position vector coordinate has
/// values between ABSMAX - ADJUST and ABSMAX.
///
/// For RELATE set to 'ABSMIN', the RESULT window contains
/// time intervals when the position vector coordinate has
/// values between ABSMIN and ABSMIN + ADJUST.
///
/// ADJUST is not used for searches for local extrema,
/// equality or inequality conditions.
///
/// STEP is the double precision time step size to use in the
/// search.
///
/// STEP must be short enough to for a search using this step
/// size to locate the time intervals where coordinate
/// function of the subpoint vector is monotone increasing or
/// decreasing. However, STEP must not be *too* short, or
/// the search will take an unreasonable amount of time.
///
/// For coordinates other than 'LONGITUDE' and 'RIGHT
/// ASCENSION', the step size must be shorter than the
/// shortest interval, within the confinement window, over
/// which the coordinate is monotone increasing or
/// decreasing.
///
/// For 'LONGITUDE' and 'RIGHT ASCENSION', the step size must
/// be shorter than the shortest interval, within the
/// confinement window, over which either the sin or cos
/// of the coordinate is monotone increasing or decreasing.
///
/// The choice of STEP affects the completeness but not
/// the precision of solutions found by this routine; the
/// precision is controlled by the convergence tolerance.
/// See the discussion of the parameter CNVTOL for
/// details.
///
/// STEP has units of TDB seconds.
///
/// CNFINE is a double precision SPICE window that confines the time
/// period over which the specified search is conducted.
/// CNFINE may consist of a single interval or a collection
/// of intervals.
///
/// In some cases the confinement window can be used to
/// greatly reduce the time period that must be searched
/// for the desired solution. See the $Particulars section
/// below for further discussion.
///
/// See the $Examples section below for a code example
/// that shows how to create a confinement window.
///
/// CNFINE must be initialized by the caller using the
/// SPICELIB routine SSIZED.
///
/// In some cases the observer's state may be computed at
/// times outside of CNFINE by as much as 2 seconds. See
/// $Particulars for details.
///
/// MW is a parameter specifying the length of the SPICE
/// windows in the workspace array WORK (see description
/// below) used by this routine.
///
/// MW should be set to a number at least twice as large
/// as the maximum number of intervals required by any
/// workspace window. In many cases, it's not necessary to
/// compute an accurate estimate of how many intervals are
/// needed; rather, the user can pick a size considerably
/// larger than what's really required.
///
/// However, since excessively large arrays can prevent
/// applications from compiling, linking, or running
/// properly, sometimes MW must be set according to
/// the actual workspace requirement. A rule of thumb
/// for the number of intervals NINTVLS needed is
///
/// NINTVLS = 2*N + ( M / STEP )
///
/// where
///
/// N is the number of intervals in the confinement
/// window
///
/// M is the measure of the confinement window, in
/// units of seconds
///
/// STEP is the search step size in seconds
///
/// MW should then be set to
///
/// 2 * NINTVLS
///
/// NW is a parameter specifying the number of SPICE windows
/// in the workspace array WORK (see description below)
/// used by this routine. NW should be set to the
/// parameter NWMAX; this parameter is declared in the
/// include file gf.inc. (The reason this dimension is
/// an input argument is that this allows run-time
/// error checking to be performed.)
///
/// RESULT is a double precision SPICE window which will contain
/// the search results. RESULT must be declared and
/// initialized with sufficient size to capture the full
/// set of time intervals within the search region on which
/// the specified condition is satisfied.
///
/// RESULT must be initialized by the caller via the
/// SPICELIB routine SSIZED.
///
/// If RESULT is non-empty on input, its contents will be
/// discarded before GFSUBC conducts its search.
/// ```
///
/// # Detailed Output
///
/// ```text
/// WORK is an array used to store workspace windows.
///
/// This array should be declared by the caller as shown:
///
/// INCLUDE 'gf.inc'
/// ...
///
/// DOUBLE PRECISION WORK ( LBCELL : MW, NWMAX )
///
/// where MW is a constant declared by the caller and
/// NWMAX is a constant defined in the SPICELIB INCLUDE
/// file gf.inc. See the discussion of MW above.
///
/// WORK need not be initialized by the caller.
///
/// WORK is modified by this routine. The caller should
/// re-initialize this array before attempting to use it for
/// any other purpose.
///
/// RESULT is the SPICE window of intervals, contained within the
/// confinement window CNFINE, on which the specified
/// constraint is satisfied.
///
/// The endpoints of the time intervals comprising RESULT are
/// interpreted as seconds past J2000 TDB.
///
/// If the search is for local extrema, or for absolute
/// extrema with ADJUST set to zero, then normally each
/// interval of RESULT will be a singleton: the left and
/// right endpoints of each interval will be identical.
///
/// If no times within the confinement window satisfy the
/// search criteria, RESULT will be returned with a
/// cardinality of zero.
/// ```
///
/// # Parameters
///
/// ```text
/// LBCELL is the integer value defining the lower bound for
/// SPICE Cell arrays (a SPICE window is a kind of cell).
///
/// CNVTOL is the convergence tolerance used for finding
/// endpoints of the intervals comprising the result
/// window. CNVTOL is also used for finding intermediate
/// results; in particular, CNVTOL is used for finding the
/// windows on which the specified coordinate is increasing
/// or decreasing. CNVTOL is used to determine when binary
/// searches for roots should terminate: when a root is
/// bracketed within an interval of length CNVTOL; the
/// root is considered to have been found.
///
/// The accuracy, as opposed to precision, of roots found
/// by this routine depends on the accuracy of the input
/// data. In most cases, the accuracy of solutions will be
/// inferior to their precision.
///
/// See INCLUDE file gf.inc for declarations and descriptions of
/// parameters used throughout the GF system.
/// ```
///
/// # Exceptions
///
/// ```text
/// 1) In order for this routine to produce correct results,
/// the step size must be appropriate for the problem at hand.
/// Step sizes that are too large may cause this routine to miss
/// roots; step sizes that are too small may cause this routine
/// to run unacceptably slowly and in some cases, find spurious
/// roots.
///
/// This routine does not diagnose invalid step sizes, except
/// that if the step size is non-positive, an error is signaled
/// by a routine in the call tree of this routine.
///
/// 2) Due to numerical errors, in particular,
///
/// - truncation error in time values
/// - finite tolerance value
/// - errors in computed geometric quantities
///
/// it is *normal* for the condition of interest to not always be
/// satisfied near the endpoints of the intervals comprising the
/// RESULT window. One technique to handle such a situation,
/// slightly contract RESULT using the window routine WNCOND.
///
/// 3) If the window size MW is less than 2 or not an even value,
/// the error SPICE(INVALIDDIMENSION) is signaled.
///
/// 4) If the window size of RESULT is less than 2, the error
/// SPICE(INVALIDDIMENSION) is signaled.
///
/// 5) If the output SPICE window RESULT has insufficient capacity
/// to contain the number of intervals on which the specified
/// distance condition is met, an error is signaled
/// by a routine in the call tree of this routine.
///
/// 6) If an error (typically cell overflow) occurs during
/// window arithmetic, the error is signaled by a routine
/// in the call tree of this routine.
///
/// 7) If the relational operator RELATE is not recognized, an
/// error is signaled by a routine in the call tree of this
/// routine.
///
/// 8) If the size of the workspace WORK is too small, an error is
/// signaled by a routine in the call tree of this routine.
///
/// 9) If the aberration correction specifier contains an
/// unrecognized value, an error is signaled by a routine in the
/// call tree of this routine.
///
/// 10) If ADJUST is negative, an error is signaled by a routine in
/// the call tree of this routine.
///
/// 11) If either of the input body names do not map to NAIF ID
/// codes, an error is signaled by a routine in the call tree of
/// this routine.
///
/// 12) If required ephemerides or other kernel data are not
/// available, an error is signaled by a routine in the call tree
/// of this routine.
///
/// 13) If the search uses GEODETIC or PLANETOGRAPHIC coordinates, and
/// the center body of the reference frame has unequal equatorial
/// radii, an error is signaled by a routine in the call tree of
/// this routine.
/// ```
///
/// # Files
///
/// ```text
/// Appropriate SPK and PCK kernels must be loaded by the calling
/// program before this routine is called.
///
/// The following data are required:
///
/// - SPK data: the calling application must load ephemeris data
/// for the targets, observer, and any intermediate objects in
/// a chain connecting the targets and observer that cover the
/// time period specified by the window CNFINE. If aberration
/// corrections are used, the states of target and observer
/// relative to the solar system barycenter must be calculable
/// from the available ephemeris data. Typically ephemeris data
/// are made available by loading one or more SPK files using
/// FURNSH.
///
/// - If non-inertial reference frames are used, then PCK
/// files, frame kernels, C-kernels, and SCLK kernels may be
/// needed.
///
/// - In some cases the observer's state may be computed at times
/// outside of CNFINE by as much as 2 seconds; data required to
/// compute this state must be provided by loaded kernels. See
/// $Particulars for details.
///
/// Such kernel data are normally loaded once per program run, NOT
/// every time this routine is called.
/// ```
///
/// # Particulars
///
/// ```text
/// This routine provides a simpler, but less flexible interface
/// than does the routine GFEVNT for conducting searches for
/// subpoint position vector coordinate value events.
/// Applications that require support for progress reporting,
/// interrupt handling, non-default step or refinement functions, or
/// non-default convergence tolerance should call GFEVNT rather than
/// this routine.
///
/// This routine determines a set of one or more time intervals
/// within the confinement window when the selected coordinate of
/// the subpoint position vector satisfies a caller-specified
/// constraint. The resulting set of intervals is returned as a SPICE
/// window.
///
/// Below we discuss in greater detail aspects of this routine's
/// solution process that are relevant to correct and efficient
/// use of this routine in user applications.
///
///
/// The Search Process
/// ==================
///
/// Regardless of the type of constraint selected by the caller, this
/// routine starts the search for solutions by determining the time
/// periods, within the confinement window, over which the specified
/// coordinate function is monotone increasing and monotone
/// decreasing. Each of these time periods is represented by a SPICE
/// window. Having found these windows, all of the coordinate
/// function's local extrema within the confinement window are known.
/// Absolute extrema then can be found very easily.
///
/// Within any interval of these "monotone" windows, there will be at
/// most one solution of any equality constraint. Since the boundary
/// of the solution set for any inequality constraint is contained in
/// the union of
///
/// - the set of points where an equality constraint is met
///
/// - the boundary points of the confinement window
///
/// the solutions of both equality and inequality constraints can be
/// found easily once the monotone windows have been found.
///
///
/// Step Size
/// =========
///
/// The monotone windows (described above) are found using a two-step
/// search process. Each interval of the confinement window is
/// searched as follows: first, the input step size is used to
/// determine the time separation at which the sign of the rate of
/// change of coordinate will be sampled. Starting at
/// the left endpoint of an interval, samples will be taken at each
/// step. If a change of sign is found, a root has been bracketed; at
/// that point, the time at which the time derivative of the
/// coordinate is zero can be found by a refinement process, for
/// example, using a binary search.
///
/// Note that the optimal choice of step size depends on the lengths
/// of the intervals over which the coordinate function is monotone:
/// the step size should be shorter than the shortest of these
/// intervals (within the confinement window).
///
/// The optimal step size is *not* necessarily related to the lengths
/// of the intervals comprising the result window. For example, if
/// the shortest monotone interval has length 10 days, and if the
/// shortest result window interval has length 5 minutes, a step size
/// of 9.9 days is still adequate to find all of the intervals in the
/// result window. In situations like this, the technique of using
/// monotone windows yields a dramatic efficiency improvement over a
/// state-based search that simply tests at each step whether the
/// specified constraint is satisfied. The latter type of search can
/// miss solution intervals if the step size is longer than the
/// shortest solution interval.
///
/// Having some knowledge of the relative geometry of the target and
/// observer can be a valuable aid in picking a reasonable step size.
/// In general, the user can compensate for lack of such knowledge by
/// picking a very short step size; the cost is increased computation
/// time.
///
/// Note that the step size is not related to the precision with which
/// the endpoints of the intervals of the result window are computed.
/// That precision level is controlled by the convergence tolerance.
///
///
/// Convergence Tolerance
/// =====================
///
/// As described above, the root-finding process used by this routine
/// involves first bracketing roots and then using a search process
/// to locate them. "Roots" are both times when local extrema are
/// attained and times when the coordinate function is equal to a
/// reference value. All endpoints of the intervals comprising the
/// result window are either endpoints of intervals of the
/// confinement window or roots.
///
/// Once a root has been bracketed, a refinement process is used to
/// narrow down the time interval within which the root must lie.
/// This refinement process terminates when the location of the root
/// has been determined to within an error margin called the
/// "convergence tolerance." The default convergence tolerance
/// used by this routine is set by the parameter CNVTOL (defined
/// in gf.inc).
///
/// The value of CNVTOL is set to a "tight" value so that the
/// tolerance doesn't become the limiting factor in the accuracy of
/// solutions found by this routine. In general the accuracy of input
/// data will be the limiting factor.
///
/// The user may change the convergence tolerance from the default
/// CNVTOL value by calling the routine GFSTOL, e.g.
///
/// CALL GFSTOL( tolerance value )
///
/// Call GFSTOL prior to calling this routine. All subsequent
/// searches will use the updated tolerance value.
///
/// Setting the tolerance tighter than CNVTOL is unlikely to be
/// useful, since the results are unlikely to be more accurate.
/// Making the tolerance looser will speed up searches somewhat,
/// since a few convergence steps will be omitted. However, in most
/// cases, the step size is likely to have a much greater effect
/// on processing time than would the convergence tolerance.
///
///
/// The Confinement Window
/// ======================
///
/// The simplest use of the confinement window is to specify a time
/// interval within which a solution is sought. However, the
/// confinement window can, in some cases, be used to make searches
/// more efficient. Sometimes it's possible to do an efficient search
/// to reduce the size of the time period over which a relatively
/// slow search of interest must be performed.
///
/// Practical use of the coordinate search capability would likely
/// consist of searches over multiple coordinate constraints to find
/// time intervals that satisfies the constraints. An
/// effective technique to accomplish such a search is
/// to use the result window from one search as the confinement window
/// of the next.
///
/// Certain types of searches require the state of the observer,
/// relative to the solar system barycenter, to be computed at times
/// slightly outside the confinement window CNFINE. The time window
/// that is actually used is the result of "expanding" CNFINE by a
/// specified amount "T": each time interval of CNFINE is expanded by
/// shifting the interval's left endpoint to the left and the right
/// endpoint to the right by T seconds. Any overlapping intervals are
/// merged. (The input argument CNFINE is not modified.)
///
/// The window expansions listed below are additive: if both
/// conditions apply, the window expansion amount is the sum of the
/// individual amounts.
///
/// - If a search uses an equality constraint, the time window
/// over which the state of the observer is computed is expanded
/// by 1 second at both ends of all of the time intervals
/// comprising the window over which the search is conducted.
///
/// - If a search uses stellar aberration corrections, the time
/// window over which the state of the observer is computed is
/// expanded as described above.
///
/// When light time corrections are used, expansion of the search
/// window also affects the set of times at which the light time-
/// corrected state of the target is computed.
///
/// In addition to the possible 2 second expansion of the search
/// window that occurs when both an equality constraint and stellar
/// aberration corrections are used, round-off error should be taken
/// into account when the need for data availability is analyzed.
///
/// Longitude and Right Ascension
/// =============================
///
/// The cyclic nature of the longitude and right ascension coordinates
/// produces branch cuts at +/- 180 degrees longitude and 0-360
/// longitude. Round-off error may cause solutions near these branches
/// to cross the branch. Use of the SPICE routine WNCOND will contract
/// solution windows by some epsilon, reducing the measure of the
/// windows and eliminating the branch crossing. A one millisecond
/// contraction will in most cases eliminate numerical round-off
/// caused branch crossings.
/// ```
///
/// # Examples
///
/// ```text
/// The numerical results shown for this example may differ across
/// platforms. The results depend on the SPICE kernels used as
/// input, the compiler and supporting libraries, and the machine
/// specific arithmetic implementation.
///
/// 1) Find the time during 2007 for which the subpoint position
/// vector of the Sun on Earth in the IAU_EARTH frame lies within
/// a geodetic latitude-longitude "box" defined as
///
/// 16 degrees <= latitude <= 17 degrees
/// 85 degrees <= longitude <= 86 degrees
///
/// This problem requires four searches, each search on one of the
/// box restrictions. The user needs also realize the temporal
/// behavior of latitude greatly differs from that of the
/// longitude. The sub-observer point latitude varies between
/// approximately 23.44 degrees and -23.44 degrees during the
/// year. The sub-observer point longitude varies between -180
/// degrees and 180 degrees in one day.
///
/// Use the meta-kernel shown below to load the required SPICE
/// kernels.
///
///
/// KPL/MK
///
/// File name: gfsubc_ex1.tm
///
/// This meta-kernel is intended to support operation of SPICE
/// example programs. The kernels shown here should not be
/// assumed to contain adequate or correct versions of data
/// required by SPICE-based user applications.
///
/// In order for an application to use this meta-kernel, the
/// kernels referenced here must be present in the user's
/// current working directory.
///
/// The names and contents of the kernels referenced
/// by this meta-kernel are as follows:
///
/// File name Contents
/// --------- --------
/// de414.bsp Planetary ephemeris
/// pck00008.tpc Planet orientation and
/// radii
/// naif0008.tls Leapseconds
///
///
/// \begindata
///
/// KERNELS_TO_LOAD = ( 'de414.bsp',
/// 'pck00008.tpc',
/// 'naif0008.tls' )
/// \begintext
///
/// End of meta-kernel
///
///
/// Example code begins here.
///
///
/// PROGRAM GFSUBC_EX1
/// IMPLICIT NONE
///
/// C
/// C Include GF parameter declarations:
/// C
/// INCLUDE 'gf.inc'
///
/// C
/// C SPICELIB functions
/// C
/// DOUBLE PRECISION SPD
/// DOUBLE PRECISION DPR
/// DOUBLE PRECISION RPD
///
/// INTEGER WNCARD
///
/// C
/// C Local parameters
/// C
/// INTEGER LBCELL
/// PARAMETER ( LBCELL = -5 )
///
/// C
/// C Create 50 windows.
/// C
/// INTEGER MAXWIN
/// PARAMETER ( MAXWIN = 1000 )
///
/// C
/// C One window consists of two intervals.
/// C
/// INTEGER NINTRVL
/// PARAMETER ( NINTRVL = MAXWIN *2 )
///
/// INTEGER STRLEN
/// PARAMETER ( STRLEN = 28 )
///
/// C
/// C Local variables
/// C
/// CHARACTER*(STRLEN) TIMFMT
/// CHARACTER*(STRLEN) BEGSTR
/// CHARACTER*(STRLEN) ENDSTR
/// CHARACTER*(STRLEN) TARGET
/// CHARACTER*(STRLEN) OBSRVR
/// CHARACTER*(STRLEN) ABCORR
/// CHARACTER*(STRLEN) METHOD
/// CHARACTER*(STRLEN) FIXREF
/// CHARACTER*(STRLEN) CRDSYS
/// CHARACTER*(STRLEN) COORD
/// CHARACTER*(STRLEN) RELATE
///
/// DOUBLE PRECISION STEP
/// DOUBLE PRECISION CNFINE ( LBCELL : 2 )
/// DOUBLE PRECISION RESULT1 ( LBCELL : NINTRVL )
/// DOUBLE PRECISION RESULT2 ( LBCELL : NINTRVL )
/// DOUBLE PRECISION RESULT3 ( LBCELL : NINTRVL )
/// DOUBLE PRECISION RESULT4 ( LBCELL : NINTRVL )
/// DOUBLE PRECISION WORK ( LBCELL : NINTRVL, NWMAX )
/// DOUBLE PRECISION BEGTIM
/// DOUBLE PRECISION ENDTIM
/// DOUBLE PRECISION LEFT
/// DOUBLE PRECISION RIGHT
/// DOUBLE PRECISION REFVAL
/// DOUBLE PRECISION ADJUST
/// DOUBLE PRECISION RAD ( 2 )
/// DOUBLE PRECISION LON ( 2 )
/// DOUBLE PRECISION LAT ( 2 )
/// DOUBLE PRECISION TRGEPC
/// DOUBLE PRECISION LPOS ( 3 )
/// DOUBLE PRECISION RPOS ( 3 )
/// DOUBLE PRECISION SRFVEC ( 3 )
///
/// INTEGER COUNT
/// INTEGER I
///
/// C
/// C Saved variables
/// C
/// C The confinement, workspace and result windows CNFINE,
/// C WORK, RESULT1, RESULT2, RESULT3 and RESULT4 are saved
/// C because this practice helps to prevent stack overflow.
/// C
/// SAVE CNFINE
/// SAVE RESULT1
/// SAVE RESULT2
/// SAVE RESULT3
/// SAVE RESULT4
/// SAVE WORK
///
/// C
/// C Load kernels.
/// C
/// CALL FURNSH ('gfsubc_ex1.tm')
///
/// TIMFMT = 'YYYY-MON-DD HR:MN:SC.###### ::TDB ::RND'
///
/// C
/// C Initialize windows RESULT and CNFINE.
/// C
/// CALL SSIZED ( NINTRVL, RESULT1 )
/// CALL SSIZED ( NINTRVL, RESULT2 )
/// CALL SSIZED ( NINTRVL, RESULT3 )
/// CALL SSIZED ( NINTRVL, RESULT4 )
/// CALL SSIZED ( 2, CNFINE )
///
/// C
/// C Store the time bounds of our search interval in
/// C the CNFINE confinement window.
/// C
/// CALL STR2ET ( '2007 JAN 01', BEGTIM )
/// CALL STR2ET ( '2008 JAN 01', ENDTIM )
///
/// CALL WNINSD ( BEGTIM, ENDTIM, CNFINE )
///
/// C
/// C The latitude varies relatively slowly (46 degrees) during
/// C the year. The extrema occur approximately every six
/// C months. Search using a step size less than half that
/// C value (180 days). For this example use ninety days (in
/// C units of seconds).
/// C
/// STEP = SPD()*90.D0
///
/// C
/// C Perform four searches to determine the times when the
/// C latitude- longitude box restriction conditions apply to
/// C the subpoint vector.
/// C
/// C Use geodetic coordinates.
/// C
/// ADJUST = 0.D0
/// TARGET = 'EARTH'
/// OBSRVR = 'SUN'
/// METHOD = 'Near point: ellipsoid'
/// FIXREF = 'IAU_EARTH'
/// CRDSYS = 'GEODETIC'
/// ABCORR = 'NONE'
///
/// C
/// C Perform the searches such that the result window of a
/// C search serves as the confinement window of the
/// C subsequent search.
/// C
/// C Since the latitude coordinate varies slowly and is well
/// C behaved over the time of the confinement window, search
/// C first for the windows satisfying the latitude
/// C requirements, then use that result as confinement for
/// C the longitude search.
/// C
/// COORD = 'LATITUDE'
/// REFVAL = 16.D0 * RPD()
/// RELATE = '>'
///
/// CALL GFSUBC ( TARGET, FIXREF,
/// . METHOD, ABCORR, OBSRVR,
/// . CRDSYS, COORD,
/// . RELATE, REFVAL,
/// . ADJUST, STEP, CNFINE,
/// . NINTRVL, NWMAX, WORK, RESULT1 )
///
/// REFVAL = 17.D0 * RPD()
/// RELATE = '<'
///
/// CALL GFSUBC ( TARGET, FIXREF,
/// . METHOD, ABCORR, OBSRVR,
/// . CRDSYS, COORD,
/// . RELATE, REFVAL,
/// . ADJUST, STEP, RESULT1,
/// . NINTRVL, NWMAX, WORK, RESULT2 )
///
/// C
/// C Now the longitude search.
/// C
/// COORD = 'LONGITUDE'
///
/// C
/// C Reset the step size to something appropriate for the 360
/// C degrees in 24 hours domain. The longitude shows near
/// C linear behavior so use a step size less than half the
/// C period of twelve hours. Ten hours will suffice in this
/// C case.
/// C
/// STEP = SPD() * (10.D0/24.D0)
///
/// REFVAL = 85.D0 * RPD()
/// RELATE = '>'
///
///
/// CALL GFSUBC ( TARGET, FIXREF,
/// . METHOD, ABCORR, OBSRVR,
/// . CRDSYS, COORD,
/// . RELATE, REFVAL,
/// . ADJUST, STEP, RESULT2,
/// . NINTRVL, NWMAX, WORK, RESULT3 )
///
/// C
/// C Contract the endpoints of each window to account
/// C for possible round-off error at the -180/180 degree
/// C branch.
/// C
/// C A contraction value of a millisecond should eliminate
/// C any round-off caused branch crossing.
/// C
/// CALL WNCOND ( 1D-3, 1D-3, RESULT3 )
///
/// REFVAL = 86.D0 * RPD()
/// RELATE = '<'
///
/// CALL GFSUBC ( TARGET, FIXREF,
/// . METHOD, ABCORR, OBSRVR,
/// . CRDSYS, COORD,
/// . RELATE, REFVAL,
/// . ADJUST, STEP, RESULT3,
/// . NINTRVL, NWMAX, WORK, RESULT4 )
///
/// C
/// C Check the number of intervals in the result window.
/// C
/// COUNT = WNCARD(RESULT4)
///
/// C
/// C List the beginning and ending points in each interval
/// C if RESULT contains data.
/// C
/// IF ( COUNT .EQ. 0 ) THEN
///
/// WRITE(*, '(A)') 'Result window is empty.'
///
/// ELSE
///
/// WRITE(*, '(A)') ' Time (TDB) '
/// . // ' LAT (deg) LON (deg)'
/// WRITE(*, '(A)') ' ---------------------------'
/// . // ' ----------- -----------'
///
/// DO I = 1, COUNT
///
/// C
/// C Fetch the endpoints of the Ith interval
/// C of the result window.
/// C
/// CALL WNFETD ( RESULT4, I, LEFT, RIGHT )
///
/// CALL TIMOUT ( LEFT, TIMFMT, BEGSTR )
/// CALL TIMOUT ( RIGHT, TIMFMT, ENDSTR )
///
/// C
/// C Determine the latitude and longitude of the
/// C subpoint at the event interval boundaries.
/// C
/// CALL SUBPNT ( METHOD, TARGET, LEFT,
/// . FIXREF, ABCORR, OBSRVR,
/// . LPOS, TRGEPC, SRFVEC )
/// CALL RECLAT ( LPOS, RAD(1), LON(1), LAT(1) )
///
/// CALL SUBPNT ( METHOD, TARGET, RIGHT,
/// . FIXREF, ABCORR, OBSRVR,
/// . RPOS, TRGEPC, SRFVEC )
/// CALL RECLAT ( RPOS, RAD(2), LON(2), LAT(2) )
///
///
/// WRITE(*,'(2A,2F14.8)') 'From : ', BEGSTR,
/// . LAT(1)*DPR(), LON(1)*DPR()
/// WRITE(*,'(2A,2F14.8)') 'To : ', ENDSTR,
/// . LAT(2)*DPR(), LON(2)*DPR()
/// WRITE(*,*) ' '
///
/// END DO
///
/// END IF
///
/// END
///
///
/// When this program was executed on a Mac/Intel/gfortran/64-bit
/// platform, the output was:
///
///
/// Time (TDB) LAT (deg) LON (deg)
/// --------------------------- ----------- -----------
/// From : 2007-MAY-05 06:12:59.452307 16.05435608 86.00000000
/// To : 2007-MAY-05 06:16:59.436479 16.05514776 85.00000417
///
/// From : 2007-MAY-06 06:12:54.398070 16.33714720 86.00000000
/// To : 2007-MAY-06 06:16:54.383826 16.33792651 85.00000417
///
/// From : 2007-MAY-07 06:12:49.917541 16.61544356 86.00000000
/// To : 2007-MAY-07 06:16:49.904901 16.61621026 85.00000417
///
/// From : 2007-MAY-08 06:12:46.017221 16.88916258 86.00000000
/// To : 2007-MAY-08 06:16:46.006200 16.88991646 85.00000417
///
/// From : 2007-AUG-06 06:22:12.099776 16.68071740 86.00000000
/// To : 2007-AUG-06 06:26:12.080859 16.67996165 85.00000417
///
/// From : 2007-AUG-07 06:22:05.362314 16.40641076 86.00000000
/// To : 2007-AUG-07 06:26:05.341799 16.40564259 85.00000417
///
/// From : 2007-AUG-08 06:21:58.050893 16.12767782 86.00000000
/// To : 2007-AUG-08 06:25:58.028786 16.12689748 85.00000417
/// ```
///
/// # Restrictions
///
/// ```text
/// 1) The kernel files to be used by this routine must be loaded
/// (normally using the SPICELIB routine FURNSH) before this
/// routine is called.
///
/// 2) This routine has the side effect of re-initializing the
/// coordinate quantity utility package. Callers may
/// need to re-initialize the package after calling this routine.
/// ```
///
/// # Author and Institution
///
/// ```text
/// N.J. Bachman (JPL)
/// J. Diaz del Rio (ODC Space)
/// E.D. Wright (JPL)
/// ```
///
/// # Version
///
/// ```text
/// - SPICELIB Version 1.2.0, 27-OCT-2021 (JDR) (NJB)
///
/// Edited the header to comply with NAIF standard.
///
/// Added initialization of QCPARS(10) to pacify Valgrind.
///
/// Modified code example's output to comply with maximum line
/// length of header comments. Added SAVE statements for CNFINE,
/// WORK, RESULT1, RESULT2, RESULT3 and RESULT4 variables in code
/// example.
///
/// Added entries #5 and #9 in $Exceptions section.
///
/// Updated description of WORK and RESULT arguments in $Brief_I/O,
/// $Detailed_Input and $Detailed_Output. Extended description of
/// COORD argument.
///
/// Updated header to describe use of expanded confinement window.
///
/// - SPICELIB Version 1.1.0, 05-SEP-2012 (EDW)
///
/// Edit to comments to correct search description.
///
/// Implemented use of ZZHOLDD to allow user to alter convergence
/// tolerance.
///
/// Removed the STEP > 0 error check. The GFSSTP call includes
/// the check.
///
/// - SPICELIB Version 1.0.1, 22-AUG-2009 (EDW)
///
/// Edited argument descriptions.
///
/// Edit to Example description, replaced "intercept" with
/// "sub-observer point."
///
/// - SPICELIB Version 1.0.0, 17-FEB-2009 (NJB) (EDW)
/// ```
//$Procedure GFSUBC (GF, subpoint vector coordinate search )