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+ SUBROUTINE sla_SUPGAL (DSL, DSB, DL, DB)
+*+
+* - - - - - - -
+* S U P G A L
+* - - - - - - -
+*
+* Transformation from de Vaucouleurs supergalactic coordinates
+* to IAU 1958 galactic coordinates (double precision)
+*
+* Given:
+* DSL,DSB dp supergalactic longitude and latitude
+*
+* Returned:
+* DL,DB dp galactic longitude and latitude L2,B2
+*
+* (all arguments are radians)
+*
+* Called:
+* sla_DCS2C, sla_DIMXV, sla_DCC2S, sla_DRANRM, sla_DRANGE
+*
+* References:
+*
+* de Vaucouleurs, de Vaucouleurs, & Corwin, Second Reference
+* Catalogue of Bright Galaxies, U. Texas, page 8.
+*
+* Systems & Applied Sciences Corp., Documentation for the
+* machine-readable version of the above catalogue,
+* Contract NAS 5-26490.
+*
+* (These two references give different values for the galactic
+* longitude of the supergalactic origin. Both are wrong; the
+* correct value is L2=137.37.)
+*
+* P.T.Wallace Starlink March 1986
+*
+* Copyright (C) 1995 Rutherford Appleton Laboratory
+*-
+
+ IMPLICIT NONE
+
+ DOUBLE PRECISION DSL,DSB,DL,DB
+
+ DOUBLE PRECISION sla_DRANRM,sla_DRANGE
+
+ DOUBLE PRECISION V1(3),V2(3)
+
+*
+* System of supergalactic coordinates:
+*
+* SGL SGB L2 B2 (deg)
+* - +90 47.37 +6.32
+* 0 0 - 0
+*
+* Galactic to supergalactic rotation matrix:
+*
+ DOUBLE PRECISION RMAT(3,3)
+ DATA RMAT(1,1),RMAT(1,2),RMAT(1,3),
+ : RMAT(2,1),RMAT(2,2),RMAT(2,3),
+ : RMAT(3,1),RMAT(3,2),RMAT(3,3)/
+ : -0.735742574804D0,+0.677261296414D0,+0.000000000000D0,
+ : -0.074553778365D0,-0.080991471307D0,+0.993922590400D0,
+ : +0.673145302109D0,+0.731271165817D0,+0.110081262225D0/
+
+
+
+* Spherical to Cartesian
+ CALL sla_DCS2C(DSL,DSB,V1)
+
+* Supergalactic to galactic
+ CALL sla_DIMXV(RMAT,V1,V2)
+
+* Cartesian to spherical
+ CALL sla_DCC2S(V2,DL,DB)
+
+* Express in conventional ranges
+ DL=sla_DRANRM(DL)
+ DB=sla_DRANGE(DB)
+
+ END