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+ SUBROUTINE sla_TPS2C (XI, ETA, RA, DEC, RAZ1, DECZ1,
+ : RAZ2, DECZ2, N)
+*+
+* - - - - - -
+* T P S 2 C
+* - - - - - -
+*
+* From the tangent plane coordinates of a star of known RA,Dec,
+* determine the RA,Dec of the tangent point.
+*
+* (single precision)
+*
+* Given:
+* XI,ETA r tangent plane rectangular coordinates
+* RA,DEC r spherical coordinates
+*
+* Returned:
+* RAZ1,DECZ1 r spherical coordinates of tangent point, solution 1
+* RAZ2,DECZ2 r spherical coordinates of tangent point, solution 2
+* N i number of solutions:
+* 0 = no solutions returned (note 2)
+* 1 = only the first solution is useful (note 3)
+* 2 = both solutions are useful (note 3)
+*
+* Notes:
+*
+* 1 The RAZ1 and RAZ2 values are returned in the range 0-2pi.
+*
+* 2 Cases where there is no solution can only arise near the poles.
+* For example, it is clearly impossible for a star at the pole
+* itself to have a non-zero XI value, and hence it is
+* meaningless to ask where the tangent point would have to be
+* to bring about this combination of XI and DEC.
+*
+* 3 Also near the poles, cases can arise where there are two useful
+* solutions. The argument N indicates whether the second of the
+* two solutions returned is useful. N=1 indicates only one useful
+* solution, the usual case; under these circumstances, the second
+* solution corresponds to the "over-the-pole" case, and this is
+* reflected in the values of RAZ2 and DECZ2 which are returned.
+*
+* 4 The DECZ1 and DECZ2 values are returned in the range +/-pi, but
+* in the usual, non-pole-crossing, case, the range is +/-pi/2.
+*
+* 5 This routine is the spherical equivalent of the routine sla_DTPV2C.
+*
+* Called: sla_RANORM
+*
+* P.T.Wallace Starlink 5 June 1995
+*
+* Copyright (C) 1995 Rutherford Appleton Laboratory
+*-
+
+ IMPLICIT NONE
+
+ REAL XI,ETA,RA,DEC,RAZ1,DECZ1,RAZ2,DECZ2
+ INTEGER N
+
+ REAL X2,Y2,SD,CD,SDF,R2,R,S,C
+
+ REAL sla_RANORM
+
+
+ X2=XI*XI
+ Y2=ETA*ETA
+ SD=SIN(DEC)
+ CD=COS(DEC)
+ SDF=SD*SQRT(1.0+X2+Y2)
+ R2=CD*CD*(1.0+Y2)-SD*SD*X2
+ IF (R2.GE.0.0) THEN
+ R=SQRT(R2)
+ S=SDF-ETA*R
+ C=SDF*ETA+R
+ IF (XI.EQ.0.0.AND.R.EQ.0.0) R=1.0
+ RAZ1=sla_RANORM(RA-ATAN2(XI,R))
+ DECZ1=ATAN2(S,C)
+ R=-R
+ S=SDF-ETA*R
+ C=SDF*ETA+R
+ RAZ2=sla_RANORM(RA-ATAN2(XI,R))
+ DECZ2=ATAN2(S,C)
+ IF (ABS(SDF).LT.1.0) THEN
+ N=1
+ ELSE
+ N=2
+ END IF
+ ELSE
+ N=0
+ END IF
+
+ END