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Diffstat (limited to 'src/slalib/pxy.f')
-rw-r--r-- | src/slalib/pxy.f | 92 |
1 files changed, 92 insertions, 0 deletions
diff --git a/src/slalib/pxy.f b/src/slalib/pxy.f new file mode 100644 index 0000000..3dd880f --- /dev/null +++ b/src/slalib/pxy.f @@ -0,0 +1,92 @@ + 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 |