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slalib/pxy.f

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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
+*
+*  License:
+*    This program is free software; you can redistribute it and/or modify
+*    it under the terms of the GNU General Public License as published by
+*    the Free Software Foundation; either version 2 of the License, or
+*    (at your option) any later version.
+*
+*    This program is distributed in the hope that it will be useful,
+*    but WITHOUT ANY WARRANTY; without even the implied warranty of
+*    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+*    GNU General Public License for more details.
+*
+*    You should have received a copy of the GNU General Public License
+*    along with this program (see SLA_CONDITIONS); if not, write to the 
+*    Free Software Foundation, Inc., 59 Temple Place, Suite 330, 
+*    Boston, MA  02111-1307  USA
+*
+*-
+
+      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