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+.help invf Jun99 "Slalib Package"
+.nf
+
+ SUBROUTINE slINVF (FWDS,BKWDS,J)
+
+ - - - - -
+ I N V F
+ - - - - -
+
+ Invert a linear model of the type produced by the
+ slFTXY routine.
+
+ Given:
+ FWDS d(6) model coefficients
+
+ Returned:
+ BKWDS d(6) inverse model
+ J i status: 0 = OK, -1 = no inverse
+
+ The models relate two sets of [X,Y] coordinates as follows.
+ Naming the elements of FWDS:
+
+ FWDS(1) = A
+ FWDS(2) = B
+ FWDS(3) = C
+ FWDS(4) = D
+ FWDS(5) = E
+ FWDS(6) = F
+
+ where two sets of coordinates [X1,Y1] and [X2,Y1] are related
+ thus:
+
+ X2 = A + B*X1 + C*Y1
+ Y2 = D + E*X1 + F*Y1
+
+ the present routine generates a new set of coefficients:
+
+ BKWDS(1) = P
+ BKWDS(2) = Q
+ BKWDS(3) = R
+ BKWDS(4) = S
+ BKWDS(5) = T
+ BKWDS(6) = U
+
+ such that:
+
+ X1 = P + Q*X2 + R*Y2
+ Y1 = S + T*X2 + U*Y2
+
+ Two successive calls to slINVF will thus deliver a set
+ of coefficients equal to the starting values.
+
+ To comply with the ANSI Fortran standard, FWDS and BKWDS must
+ not be the same array, even though the routine is coded to
+ work on the VAX and most other computers even if this rule
+ is violated.
+
+ See also slFTXY, slPXY, slXYXY, slDCMF
+
+ P.T.Wallace Starlink 11 April 1990
+
+ Copyright (C) 1995 Rutherford Appleton Laboratory
+ Copyright (C) 1995 Association of Universities for Research in Astronomy Inc.
+
+.fi
+.endhelp