| 1 | #include "slalib.h"
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| 2 | #include "slamac.h"
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| 3 | void slaOap ( char *type, double ob1, double ob2, double date,
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| 4 | double dut, double elongm, double phim, double hm,
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| 5 | double xp, double yp, double tdk, double pmb,
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| 6 | double rh, double wl, double tlr,
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| 7 | double *rap, double *dap )
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| 8 | /*
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| 9 | ** - - - - - - -
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| 10 | ** s l a O a p
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| 11 | ** - - - - - - -
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| 12 | **
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| 13 | ** Observed to apparent place
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| 14 | **
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| 15 | ** Given:
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| 16 | ** type c*(*) type of coordinates - 'R', 'H' or 'A' (see below)
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| 17 | ** ob1 d observed Az, HA or RA (radians; Az is N=0,E=90)
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| 18 | ** ob2 d observed ZD or Dec (radians)
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| 19 | ** date d UTC date/time (modified Julian Date, JD-2400000.5)
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| 20 | ** dut d delta UT: UT1-UTC (UTC seconds)
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| 21 | ** elongm d mean longitude of the observer (radians, east +ve)
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| 22 | ** phim d mean geodetic latitude of the observer (radians)
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| 23 | ** hm d observer's height above sea level (metres)
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| 24 | ** xp d polar motion x-coordinate (radians)
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| 25 | ** yp d polar motion y-coordinate (radians)
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| 26 | ** tdk d local ambient temperature (DegK; std=273.155)
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| 27 | ** pmb d local atmospheric pressure (mB; std=1013.25)
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| 28 | ** rh d local relative humidity (in the range 0.0-1.0)
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| 29 | ** wl d effective wavelength (micron, e.g. 0.55)
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| 30 | ** tlr d tropospheric lapse rate (DegK/metre, e.g. 0.0065)
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| 31 | **
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| 32 | ** Returned:
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| 33 | ** rap d geocentric apparent right ascension
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| 34 | ** dap d geocentric apparent declination
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| 35 | **
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| 36 | ** Notes:
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| 37 | **
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| 38 | ** 1) Only the first character of the type argument is significant.
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| 39 | ** 'R' or 'r' indicates that obs1 and obs2 are the observed Right
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| 40 | ** Ascension and Declination; 'H' or 'h' indicates that they are
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| 41 | ** Hour Angle (West +ve) and Declination; anything else ('A' or
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| 42 | ** 'a' is recommended) indicates that obs1 and obs2 are Azimuth
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| 43 | ** (North zero, East is 90 deg) and zenith distance. (Zenith
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| 44 | ** distance is used rather than elevation in order to reflect the
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| 45 | ** fact that no allowance is made for depression of the horizon.)
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| 46 | **
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| 47 | ** 2) The accuracy of the result is limited by the corrections for
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| 48 | ** refraction. Providing the meteorological parameters are
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| 49 | ** known accurately and there are no gross local effects, the
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| 50 | ** predicted apparent RA,Dec should be within about 0.1 arcsec
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| 51 | ** for a zenith distance of less than 70 degrees. Even at a
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| 52 | ** topocentric zenith distance of 90 degrees, the accuracy in
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| 53 | ** elevation should be better than 1 arcmin; useful results
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| 54 | ** are available for a further 3 degrees, beyond which the
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| 55 | ** slaRefro routine returns a fixed value of the refraction.
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| 56 | ** The complementary routines slaAop (or slaAopqk) and slaOap
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| 57 | ** (or slaOapqk) are self-consistent to better than 1 micro-
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| 58 | ** arcsecond all over the celestial sphere.
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| 59 | **
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| 60 | ** 3) It is advisable to take great care with units, as even
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| 61 | ** unlikely values of the input parameters are accepted and
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| 62 | ** processed in accordance with the models used.
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| 63 | **
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| 64 | ** 4) "Observed" Az,El means the position that would be seen by a
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| 65 | ** perfect theodolite located at the observer. This is
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| 66 | ** related to the observed HA,Dec via the standard rotation, using
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| 67 | ** the geodetic latitude (corrected for polar motion), while the
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| 68 | ** observed HA and RA are related simply through the local
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| 69 | ** apparent ST. "Observed" RA,Dec or HA,Dec thus means the
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| 70 | ** position that would be seen by a perfect equatorial located
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| 71 | ** at the observer and with its polar axis aligned to the
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| 72 | ** Earth's axis of rotation (n.b. not to the refracted pole).
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| 73 | ** By removing from the observed place the effects of
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| 74 | ** atmospheric refraction and diurnal aberration, the
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| 75 | ** geocentric apparent RA,Dec is obtained.
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| 76 | **
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| 77 | ** 5) Frequently, mean rather than apparent RA,Dec will be required,
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| 78 | ** in which case further transformations will be necessary. The
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| 79 | ** slaAMP etc routines will convert the apparent RA,Dec produced
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| 80 | ** by the present routine into an "FK5" (J2000) mean place, by
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| 81 | ** allowing for the Sun's gravitational lens effect, annual
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| 82 | ** aberration, nutation and precession. Should "FK4" (1950)
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| 83 | ** coordinates be needed, the routines slaFk425 etc will also
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| 84 | ** need to be applied.
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| 85 | **
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| 86 | ** 6) To convert to apparent RA,Dec the coordinates read from a
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| 87 | ** real telescope, corrections would have to be applied for
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| 88 | ** encoder zero points, gear and encoder errors, tube flexure,
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| 89 | ** the position of the rotator axis and the pointing axis
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| 90 | ** relative to it, non-perpendicularity between the mounting
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| 91 | ** axes, and finally for the tilt of the azimuth or polar axis
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| 92 | ** of the mounting (with appropriate corrections for mount
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| 93 | ** flexures). Some telescopes would, of course, exhibit other
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| 94 | ** properties which would need to be accounted for at the
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| 95 | ** appropriate point in the sequence.
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| 96 | **
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| 97 | ** 7) The star-independent apparent-to-observed-place parameters
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| 98 | ** in aoprms may be computed by means of the slaAoppa routine.
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| 99 | ** If nothing has changed significantly except the time, the
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| 100 | ** slaAoppat routine may be used to perform the requisite
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| 101 | ** partial recomputation of aoprms.
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| 102 | **
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| 103 | ** 8) The date argument is UTC expressed as an MJD. This is,
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| 104 | ** strictly speaking, wrong, because of leap seconds. However,
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| 105 | ** as long as the delta UT and the UTC are consistent there
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| 106 | ** are no difficulties, except during a leap second. In this
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| 107 | ** case, the start of the 61st second of the final minute should
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| 108 | ** begin a new MJD day and the old pre-leap delta UT should
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| 109 | ** continue to be used. As the 61st second completes, the MJD
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| 110 | ** should revert to the start of the day as, simultaneously,
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| 111 | ** the delta UTC changes by one second to its post-leap new value.
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| 112 | **
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| 113 | ** 9) The delta UT (UT1-UTC) is tabulated in IERS circulars and
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| 114 | ** elsewhere. It increases by exactly one second at the end of
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| 115 | ** each UTC leap second, introduced in order to keep delta UT
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| 116 | ** within +/- 0.9 seconds.
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| 117 | **
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| 118 | ** 10) IMPORTANT -- TAKE CARE WITH THE LONGITUDE SIGN CONVENTION.
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| 119 | ** The longitude required by the present routine is east-positive,
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| 120 | ** in accordance with geographical convention (and right-handed).
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| 121 | ** In particular, note that the longitudes returned by the
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| 122 | ** slaObs routine are west-positive, following astronomical
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| 123 | ** usage, and must be reversed in sign before use in the present
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| 124 | ** routine.
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| 125 | **
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| 126 | ** 11) The polar coordinates xp,yp can be obtained from IERS
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| 127 | ** circulars and equivalent publications. The maximum amplitude
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| 128 | ** is about 0.3 arcseconds. If xp,yp values are unavailable,
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| 129 | ** use xp=yp=0.0. See page B60 of the 1988 Astronomical Almanac
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| 130 | ** for a definition of the two angles.
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| 131 | **
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| 132 | ** 12) The height above sea level of the observing station, hm,
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| 133 | ** can be obtained from the Astronomical Almanac (Section J
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| 134 | ** in the 1988 edition), or via the routine slaObs. If p,
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| 135 | ** the pressure in millibars, is available, an adequate
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| 136 | ** estimate of hm can be obtained from the expression
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| 137 | **
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| 138 | ** hm = -29.3 * tsl * log ( p / 1013.25 );
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| 139 | **
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| 140 | ** where tsl is the approximate sea-level air temperature
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| 141 | ** in deg K (See Astrophysical Quantities, C.W.Allen,
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| 142 | ** 3rd edition, section 52). Similarly, if the pressure p
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| 143 | ** is not known, it can be estimated from the height of the
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| 144 | ** observing station, hm as follows:
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| 145 | **
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| 146 | ** p = 1013.25 * exp ( -hm / ( 29.3 * tsl ) );
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| 147 | **
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| 148 | ** Note, however, that the refraction is proportional to the
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| 149 | ** pressure and that an accurate p value is important for
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| 150 | ** precise work.
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| 151 | **
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| 152 | ** 13) The azimuths etc used by the present routine are with respect
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| 153 | ** to the celestial pole. Corrections from the terrestrial pole
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| 154 | ** can be computed using slaPolmo.
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| 155 | **
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| 156 | ** Called: slaAoppa, slaOapqk
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| 157 | **
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| 158 | ** Last revision: 6 September 1999
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| 159 | **
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| 160 | ** Copyright P.T.Wallace. All rights reserved.
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| 161 | */
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| 162 | {
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| 163 | double aoprms[14];
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| 164 |
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| 165 | slaAoppa ( date, dut, elongm, phim, hm, xp, yp, tdk,
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| 166 | pmb, rh, wl, tlr, aoprms );
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| 167 | slaOapqk ( type, ob1, ob2, aoprms, rap, dap );
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| 168 | }
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