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//
// GENERATED FILE
//
use super::*;
use crate::SpiceContext;
use f2rust_std::*;
/// Rectangular to geodetic
///
/// Convert from rectangular coordinates to geodetic coordinates.
///
/// # Brief I/O
///
/// ```text
/// VARIABLE I/O DESCRIPTION
/// -------- --- --------------------------------------------------
/// RECTAN I Rectangular coordinates of a point.
/// RE I Equatorial radius of the reference spheroid.
/// F I Flattening coefficient.
/// LON O Geodetic longitude of the point (radians).
/// LAT O Geodetic latitude of the point (radians).
/// ALT O Altitude of the point above reference spheroid.
/// ```
///
/// # Detailed Input
///
/// ```text
/// RECTAN are the rectangular coordinates of a point. RECTAN
/// must be in the same units as RE.
///
/// RE is the equatorial radius of a reference spheroid. This
/// spheroid is a volume of revolution: its horizontal cross
/// sections are circular. The shape of the spheroid is
/// defined by an equatorial radius RE and a polar radius RP.
/// RE must be in the same units as RECTAN.
///
/// F is the flattening coefficient = (RE-RP) / RE, where RP is
/// the polar radius of the spheroid.
/// ```
///
/// # Detailed Output
///
/// ```text
/// LON is the geodetic longitude of the input point. This is the
/// angle between the prime meridian and the meridian
/// containing RECTAN. The direction of increasing longitude
/// is from the +X axis towards the +Y axis.
///
/// LON is output in radians. The range of LON is [-pi, pi].
///
/// LAT is the geodetic latitude of the input point. For a point
/// P on the reference spheroid, this is the angle between
/// the XY plane and the outward normal vector at P. For a
/// point P not on the reference spheroid, the geodetic
/// latitude is that of the closest point to P on the
/// spheroid.
///
/// LAT is output in radians. The range of LAT is
/// [-pi/2, pi/2].
///
/// ALT is the altitude of point above the reference spheroid.
///
/// The units associated with ALT are those associated with
/// the inputs RECTAN and RE.
/// ```
///
/// # Exceptions
///
/// ```text
/// 1) If the equatorial radius is non-positive, the error
/// SPICE(VALUEOUTOFRANGE) is signaled.
///
/// 2) If the flattening coefficient is greater than or equal to
/// one, the error SPICE(VALUEOUTOFRANGE) is signaled.
///
/// 3) For points inside the reference ellipsoid, the nearest
/// point on the ellipsoid to RECTAN may not be unique, so
/// latitude may not be well-defined.
/// ```
///
/// # Particulars
///
/// ```text
/// Given the body-fixed rectangular coordinates of a point, and the
/// constants describing the reference spheroid, this routine
/// returns the geodetic coordinates of the point. The body-fixed
/// rectangular frame is that having the x-axis pass through the
/// 0 degree latitude 0 degree longitude point. The y-axis passes
/// through the 0 degree latitude 90 degree longitude. The z-axis
/// passes through the 90 degree latitude point. For some bodies
/// this coordinate system may not be a right-handed coordinate
/// system.
/// ```
///
/// # Examples
///
/// ```text
/// The numerical results shown for these examples 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 geodetic coordinates of the point having Earth
/// rectangular coordinates:
///
/// X (km) = -2541.748162
/// Y (km) = 4780.333036
/// Z (km) = 3360.428190
///
/// Use the PCK kernel below to load the required triaxial
/// ellipsoidal shape model and orientation data for the Earth.
///
/// pck00010.tpc
///
///
/// Example code begins here.
///
///
/// PROGRAM RECGEO_EX1
/// IMPLICIT NONE
///
/// C
/// C SPICELIB functions
/// C
/// DOUBLE PRECISION DPR
///
/// C
/// C Local variables
/// C
/// DOUBLE PRECISION ALT
/// DOUBLE PRECISION F
/// DOUBLE PRECISION LAT
/// DOUBLE PRECISION LON
/// DOUBLE PRECISION RADII ( 3 )
/// DOUBLE PRECISION RE
/// DOUBLE PRECISION RECTAN ( 3 )
/// DOUBLE PRECISION RP
///
/// INTEGER N
///
/// C
/// C Load a PCK file containing a triaxial
/// C ellipsoidal shape model and orientation
/// C data for the Earth.
/// C
/// CALL FURNSH ( 'pck00010.tpc' )
///
/// C
/// C Retrieve the triaxial radii of the Earth
/// C
/// CALL BODVRD ( 'EARTH', 'RADII', 3, N, RADII )
///
/// C
/// C Compute flattening coefficient.
/// C
/// RE = RADII(1)
/// RP = RADII(3)
/// F = ( RE - RP ) / RE
///
/// C
/// C Set a body-fixed position.
/// C
/// RECTAN(1) = -2541.748162D0
/// RECTAN(2) = 4780.333036D0
/// RECTAN(3) = 3360.428190D0
///
/// C
/// C Do the conversion. Output angles in degrees.
/// C
/// CALL RECGEO( RECTAN, RADII(1), F, LON, LAT, ALT )
///
/// WRITE (*,*) 'Rectangular coordinates in km (x, y, z)'
/// WRITE (*,'(A,3F14.6)') ' ', RECTAN
/// WRITE (*,*) 'Geodetic coordinates in deg and '
/// . // 'km (lon, lat, alt)'
/// WRITE (*,'(A,3F14.6)') ' ', LON * DPR(), LAT * DPR(), ALT
///
/// END
///
///
/// When this program was executed on a Mac/Intel/gfortran/64-bit
/// platform, the output was:
///
///
/// Rectangular coordinates in km (x, y, z)
/// -2541.748162 4780.333036 3360.428190
/// Geodetic coordinates in deg and km (lon, lat, alt)
/// 118.000000 31.999957 0.001916
///
///
/// 2) Create a table showing a variety of rectangular coordinates
/// and the corresponding Earth geodetic coordinates. The
/// values are computed using the equatorial radius of the Clark
/// 66 spheroid and the Clark 66 flattening factor:
///
/// radius: 6378.2064
/// flattening factor: 1./294.9787
///
/// Note: the values shown above may not be current or suitable
/// for your application.
///
///
/// Corresponding rectangular and geodetic coordinates are
/// listed to three decimal places. Output angles are in degrees.
///
/// Example code begins here.
///
///
/// PROGRAM RECGEO_EX2
/// IMPLICIT NONE
///
/// C
/// C SPICELIB functions
/// C
/// DOUBLE PRECISION DPR
///
/// C
/// C Local parameters.
/// C
/// INTEGER NREC
/// PARAMETER ( NREC = 11 )
///
/// C
/// C Local variables.
/// C
/// DOUBLE PRECISION ALT
/// DOUBLE PRECISION CLARKR
/// DOUBLE PRECISION CLARKF
/// DOUBLE PRECISION LAT
/// DOUBLE PRECISION LON
/// DOUBLE PRECISION RECTAN ( 3, NREC )
///
/// INTEGER I
/// INTEGER J
///
/// C
/// C Define the input rectangular coordinates.
/// C
/// DATA RECTAN /
/// . 0.D0, 0.D0, 0.D0,
/// . 6378.2064D0, 0.D0, 0.D0,
/// . 0.D0, 6378.2064D0, 0.D0,
/// . 0.D0, 0.D0, 6378.2064D0,
/// . -6378.2064D0, 0.D0, 0.D0,
/// . 0.D0, -6378.2064D0, 0.D0,
/// . 0.D0, 0.D0, -6378.2064D0,
/// . 6378.2064D0, 6378.2064D0, 0.D0,
/// . 6378.2064D0, 0.D0, 6378.2064D0,
/// . 0.D0, 6378.2064D0, 6378.2064D0,
/// . 6378.2064D0, 6378.2064D0, 6378.2064D0 /
///
/// C
/// C Using the equatorial radius of the Clark66 spheroid
/// C (CLARKR = 6378.2064 km) and the Clark 66 flattening
/// C factor (CLARKF = 1.0 / 294.9787 ) convert from
/// C body fixed rectangular coordinates.
/// C
/// CLARKR = 6378.2064D0
/// CLARKF = 1.0D0 / 294.9787D0
///
/// C
/// C Print the banner.
/// C
/// WRITE(*,*) ' RECTAN(1) RECTAN(2) RECTAN(3) '
/// . // ' LON LAT ALT'
/// WRITE(*,*) ' --------- --------- --------- '
/// . // ' ------- ------- ---------'
///
/// C
/// C Do the conversion. Output angles in degrees.
/// C
/// DO I = 1, NREC
///
/// CALL RECGEO( RECTAN(1,I), CLARKR, CLARKF,
/// . LON, LAT, ALT )
///
/// WRITE (*,'(3F11.3,2F9.3,F11.3)')
/// . ( RECTAN(J,I), J=1,3 ), LON * DPR(),
/// . LAT * DPR(), ALT
///
/// END DO
///
/// END
///
///
/// When this program was executed on a Mac/Intel/gfortran/64-bit
/// platform, the output was:
///
///
/// RECTAN(1) RECTAN(2) RECTAN(3) LON LAT ALT
/// --------- --------- --------- ------- ------- ---------
/// 0.000 0.000 0.000 0.000 90.000 -6356.584
/// 6378.206 0.000 0.000 0.000 0.000 0.000
/// 0.000 6378.206 0.000 90.000 0.000 0.000
/// 0.000 0.000 6378.206 0.000 90.000 21.623
/// -6378.206 0.000 0.000 180.000 0.000 0.000
/// 0.000 -6378.206 0.000 -90.000 0.000 0.000
/// 0.000 0.000 -6378.206 0.000 -90.000 21.623
/// 6378.206 6378.206 0.000 45.000 0.000 2641.940
/// 6378.206 0.000 6378.206 0.000 45.137 2652.768
/// 0.000 6378.206 6378.206 90.000 45.137 2652.768
/// 6378.206 6378.206 6378.206 45.000 35.370 4676.389
/// ```
///
/// # Literature References
///
/// ```text
/// [1] R. Bate, D. Mueller, and J. White, "Fundamentals of
/// Astrodynamics," Dover Publications Inc., 1971.
/// ```
///
/// # Author and Institution
///
/// ```text
/// C.H. Acton (JPL)
/// N.J. Bachman (JPL)
/// J. Diaz del Rio (ODC Space)
/// B.V. Semenov (JPL)
/// W.L. Taber (JPL)
/// ```
///
/// # Version
///
/// ```text
/// - SPICELIB Version 1.2.0, 01-OCT-2021 (JDR) (NJB)
///
/// Changed the output argument name LONG to LON for consistency
/// with other routines.
///
/// Added IMPLICIT NONE statement.
///
/// Edited the header to comply with NAIF standard. Added complete
/// code examples.
///
/// - SPICELIB Version 1.1.0, 03-AUG-2016 (BVS) (NJB)
///
/// Re-implemented derivation of longitude to improve
/// accuracy.
///
/// Minor header edits.
///
/// - SPICELIB Version 1.0.3, 02-JUL-2007 (NJB)
///
/// In $Examples section of header, description of right-hand
/// table was updated to use correct names of columns. Term
/// "bodyfixed" is now hyphenated.
///
/// - SPICELIB Version 1.0.2, 30-JUL-2003 (NJB) (CHA)
///
/// Various header changes were made to improve clarity. Some
/// minor header corrections were made.
///
/// - SPICELIB Version 1.0.1, 10-MAR-1992 (WLT)
///
/// Comment section for permuted index source lines was added
/// following the header.
///
/// - SPICELIB Version 1.0.0, 31-JAN-1990 (WLT)
/// ```
///
/// # Revisions
///
/// ```text
/// - Beta Version 3.0.1, 9-JUN-1989 (HAN)
///
/// Error handling was added to detect and equatorial radius
/// whose value is less than or equal to zero.
///
/// - Beta Version 2.0.0, 21-DEC-1988 (HAN)
///
/// Error handling to detect invalid flattening coefficients
/// was added. Because the flattening coefficient is used to
/// compute the length of an axis, it must be checked so that
/// the length is greater than zero.
/// ```
pub fn recgeo(
ctx: &mut SpiceContext,
rectan: &[f64; 3],
re: f64,
f: f64,
lon: &mut f64,
lat: &mut f64,
alt: &mut f64,
) -> crate::Result<()> {
RECGEO(rectan, re, f, lon, lat, alt, ctx.raw_context())?;
ctx.handle_errors()?;
Ok(())
}
//$Procedure RECGEO ( Rectangular to geodetic )
pub fn RECGEO(
RECTAN: &[f64],
RE: f64,
F: f64,
LON: &mut f64,
LAT: &mut f64,
ALT: &mut f64,
ctx: &mut Context,
) -> f2rust_std::Result<()> {
let RECTAN = DummyArray::new(RECTAN, 1..=3);
let mut A: f64 = 0.0;
let mut B: f64 = 0.0;
let mut C: f64 = 0.0;
let mut BASE = StackArray::<f64, 3>::new(1..=3);
let mut NORMAL = StackArray::<f64, 3>::new(1..=3);
let mut RADIUS: f64 = 0.0;
//
// SPICELIB functions
//
//
// Local variables
//
//
// Standard SPICE error handling.
//
if RETURN(ctx) {
return Ok(());
} else {
CHKIN(b"RECGEO", ctx)?;
}
//
// The equatorial radius must be positive. If not, signal an error
// and check out.
//
if (RE <= 0.0) {
SETMSG(b"Equatorial radius was *.", ctx);
ERRDP(b"*", RE, ctx);
SIGERR(b"SPICE(VALUEOUTOFRANGE)", ctx)?;
CHKOUT(b"RECGEO", ctx)?;
return Ok(());
}
//
// If the flattening coefficient is greater than one, the length
// of the 'C' axis computed below is negative. If it's equal to one,
// the length of the axis is zero. Either case is a problem, so
// signal an error and check out.
//
if (F >= 1 as f64) {
SETMSG(b"Flattening coefficient was *.", ctx);
ERRDP(b"*", F, ctx);
SIGERR(b"SPICE(VALUEOUTOFRANGE)", ctx)?;
CHKOUT(b"RECGEO", ctx)?;
return Ok(());
}
//
// Determine the lengths of the axes of the reference ellipsoid.
//
A = RE;
B = RE;
C = (RE - (F * RE));
//
// Find the point on the reference spheroid closest to the input
// point. From this closest point determine the surface normal.
//
NEARPT(RECTAN.as_slice(), A, B, C, BASE.as_slice_mut(), ALT, ctx)?;
SURFNM(A, B, C, BASE.as_slice(), NORMAL.as_slice_mut(), ctx)?;
//
// Using the surface normal, determine the latitude and longitude
// of the input point.
//
RECLAT(NORMAL.as_slice(), &mut RADIUS, LON, LAT);
//
// Compute longitude directly rather than from the normal vector.
//
if ((RECTAN[1] == 0.0) && (RECTAN[2] == 0.0)) {
*LON = 0.0;
} else {
*LON = f64::atan2(RECTAN[2], RECTAN[1]);
}
CHKOUT(b"RECGEO", ctx)?;
Ok(())
}