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+ SUBROUTINE sla_PXY (NP,XYE,XYM,COEFFS,XYP,XRMS,YRMS,RRMS)
+*+
+* - - - -
+* P X Y
+* - - - -
+*
+* Given arrays of "expected" and "measured" [X,Y] coordinates, and a
+* linear model relating them (as produced by sla_FITXY), compute
+* the array of "predicted" coordinates and the RMS residuals.
+*
+* Given:
+* NP i number of samples
+* XYE d(2,np) expected [X,Y] for each sample
+* XYM d(2,np) measured [X,Y] for each sample
+* COEFFS d(6) coefficients of model (see below)
+*
+* Returned:
+* XYP d(2,np) predicted [X,Y] for each sample
+* XRMS d RMS in X
+* YRMS d RMS in Y
+* RRMS d total RMS (vector sum of XRMS and YRMS)
+*
+* The model is supplied in the array COEFFS. Naming the
+* elements of COEFF as follows:
+*
+* COEFFS(1) = A
+* COEFFS(2) = B
+* COEFFS(3) = C
+* COEFFS(4) = D
+* COEFFS(5) = E
+* COEFFS(6) = F
+*
+* the model is applied thus:
+*
+* XP = A + B*XM + C*YM
+* YP = D + E*XM + F*YM
+*
+* The residuals are (XP-XE) and (YP-YE).
+*
+* If NP is less than or equal to zero, no coordinates are
+* transformed, and the RMS residuals are all zero.
+*
+* See also sla_FITXY, sla_INVF, sla_XY2XY, sla_DCMPF
+*
+* Called: sla_XY2XY
+*
+* P.T.Wallace Starlink 22 May 1996
+*
+* Copyright (C) 1996 Rutherford Appleton Laboratory
+*-
+
+ IMPLICIT NONE
+
+ INTEGER NP
+ DOUBLE PRECISION XYE(2,NP),XYM(2,NP),COEFFS(6),
+ : XYP(2,NP),XRMS,YRMS,RRMS
+
+ INTEGER I
+ DOUBLE PRECISION SDX2,SDY2,XP,YP,DX,DY,DX2,DY2,P
+
+
+
+* Initialize summations
+ SDX2=0D0
+ SDY2=0D0
+
+* Loop by sample
+ DO I=1,NP
+
+* Transform "measured" [X,Y] to "predicted" [X,Y]
+ CALL sla_XY2XY(XYM(1,I),XYM(2,I),COEFFS,XP,YP)
+ XYP(1,I)=XP
+ XYP(2,I)=YP
+
+* Compute residuals in X and Y, and update summations
+ DX=XYE(1,I)-XP
+ DY=XYE(2,I)-YP
+ DX2=DX*DX
+ DY2=DY*DY
+ SDX2=SDX2+DX2
+ SDY2=SDY2+DY2
+
+* Next sample
+ END DO
+
+* Compute RMS values
+ P=MAX(1D0,DBLE(NP))
+ XRMS=SQRT(SDX2/P)
+ YRMS=SQRT(SDY2/P)
+ RRMS=SQRT(XRMS*XRMS+YRMS*YRMS)
+
+ END