LCOV - code coverage report
Current view: top level - synthesis/TransformMachines - PBMath1D.cc (source / functions) Hit Total Coverage
Test: casa_coverage.info Lines: 336 552 60.9 %
Date: 2023-10-25 08:47:59 Functions: 11 18 61.1 %

          Line data    Source code
       1             : //# PBMath1D.cc: Implementation for PBMath1D
       2             : //# Copyright (C) 1996,1997,1998,1999,2000,2001,2002,2003
       3             : //# Associated Universities, Inc. Washington DC, USA.
       4             : //#
       5             : //# This library is free software; you can redistribute it and/or modify it
       6             : //# under the terms of the GNU Library General Public License as published by
       7             : //# the Free Software Foundation; either version 2 of the License, or (at your
       8             : //# option) any later version.
       9             : //#
      10             : //# This library is distributed in the hope that it will be useful, but WITHOUT
      11             : //# ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
      12             : //# FITNESS FOR A PARTICULAR PURPOSE.  See the GNU Library General Public
      13             : //# License for more details.
      14             : //#
      15             : //# You should have received a copy of the GNU Library General Public License
      16             : //# along with this library; if not, write to the Free Software Foundation,
      17             : //# Inc., 675 Massachusetts Ave, Cambridge, MA 02139, USA.
      18             : //#
      19             : //# Correspondence concerning AIPS++ should be adressed as follows:
      20             : //#        Internet email: aips2-request@nrao.edu.
      21             : //#        Postal address: AIPS++ Project Office
      22             : //#                        National Radio Astronomy Observatory
      23             : //#                        520 Edgemont Road
      24             : //#                        Charlottesville, VA 22903-2475 USA
      25             : //#
      26             : //#
      27             : //# $Id$
      28             :  
      29             : #include <casacore/casa/aips.h>
      30             : #include <casacore/casa/BasicSL/Complex.h>
      31             : #include <casacore/casa/Arrays/Matrix.h>
      32             : #include <casacore/casa/Arrays/Vector.h>
      33             : #include <synthesis/TransformMachines/PBMath1D.h>
      34             : 
      35             : #include <casacore/images/Regions/ImageRegion.h>
      36             : #include <casacore/images/Images/ImageInterface.h>
      37             : 
      38             : #include <components/ComponentModels/SkyComponent.h>
      39             : #include <components/ComponentModels/Flux.h>
      40             : #include <components/ComponentModels/ComponentShape.h>
      41             : 
      42             : #include <casacore/lattices/Lattices/LatticeIterator.h>
      43             : #include <casacore/lattices/Lattices/LatticeStepper.h>
      44             : #include <casacore/lattices/LRegions/LCSlicer.h>
      45             : #include <casacore/casa/Arrays/IPosition.h>
      46             : 
      47             : #include <casacore/measures/Measures.h>
      48             : #include <casacore/measures/Measures/MeasConvert.h>
      49             : 
      50             : #include <casacore/coordinates/Coordinates/CoordinateSystem.h>
      51             : #include <casacore/coordinates/Coordinates/DirectionCoordinate.h>
      52             : #include <casacore/coordinates/Coordinates/SpectralCoordinate.h>
      53             : #include <casacore/coordinates/Coordinates/StokesCoordinate.h>
      54             : #include <casacore/coordinates/Coordinates/Projection.h>
      55             : #include <casacore/coordinates/Coordinates/CoordinateUtil.h>
      56             : 
      57             : #include <casacore/casa/BasicSL/String.h>
      58             : #include <casacore/casa/Utilities/Assert.h>
      59             : #include <casacore/casa/Exceptions/Error.h>
      60             : 
      61             : 
      62             : 
      63             : using namespace casacore;
      64             : namespace casa { //# NAMESPACE CASA - BEGIN
      65             : 
      66         271 : PBMath1D::PBMath1D()
      67         271 :   : composite_p(2048)
      68             : {
      69         271 : };
      70             : 
      71             : 
      72        2290 : PBMath1D::PBMath1D(Quantity maximumRadius,
      73             :                    Quantity refFreq,
      74             :                    Bool isThisVP,
      75             :                    BeamSquint squint,
      76        2290 :                    Bool useSymmetricBeam) :
      77             :   PBMathInterface(isThisVP, squint, useSymmetricBeam),
      78             :   wideFit_p(false),maximumRadius_p(maximumRadius),
      79             :   refFreq_p(refFreq),
      80        2290 :   composite_p(2048)
      81             : {
      82        2290 :   fScale_p = refFreq_p.getValue("GHz");  // scale is ratio of refFreq_p to 1GHz
      83        2290 :   refFreq_p = Quantity( 1.0, "GHz");  // internal Ref Freq is now 1GHz
      84             :   // convert instantiation parameters to GHz*arcmin reference
      85        2290 :   maximumRadius_p = maximumRadius_p * fScale_p;
      86        2290 :   scale_p = 1.0/(C::arcmin * C::giga);
      87        2290 : };
      88             : 
      89        2543 : PBMath1D::~PBMath1D()
      90             : {
      91        2543 : };
      92             : 
      93             : 
      94             : 
      95             : 
      96             : ImageRegion* 
      97           0 : PBMath1D::extent (const ImageInterface<Complex>& in, const MDirection& pointDir,
      98             :                   const Int row, const Float fPad,  const Int iChan,  
      99             :                   const SkyJones::SizeType sizeType)
     100             : {
     101             :   if (row) {} // Not used yet
     102             : 
     103           0 :   CoordinateSystem  coords=in.coordinates();  
     104             : 
     105           0 :   Vector<Float> blc(4);
     106           0 :   Vector<Float> trc(4);
     107           0 :   blc.set(0.0);
     108           0 :   trc.set(0.0);
     109             :   {
     110             :     Int stokesIndex, k1, k2;
     111           0 :     CoordinateUtil::findStokesAxis(stokesIndex, k1, k2, coords);
     112           0 :     blc(stokesIndex) = 0.0;
     113           0 :     trc(stokesIndex) = in.shape()(stokesIndex)-1;
     114           0 :     Int spectralIndex=CoordinateUtil::findSpectralAxis(coords); 
     115           0 :     blc(spectralIndex) = 0.0;
     116           0 :     trc(spectralIndex) = in.shape()(spectralIndex)-1;
     117             :   }
     118           0 :   extentguts(coords,  pointDir, fPad, iChan, blc, trc);
     119           0 :   refineSize(blc, trc, in.shape(), sizeType);
     120           0 :   LCSlicer lcs( blc, trc );
     121           0 :   return  ( new ImageRegion(lcs) );
     122             : };
     123             : ImageRegion* 
     124           0 : PBMath1D::extent (const ImageInterface<Float>& in, const MDirection& pointDir,
     125             :                   const Int row, const Float fPad, const Int iChan, 
     126             :                   const SkyJones::SizeType sizeType)
     127             : {
     128             :   if (row) {} // unused
     129           0 :   CoordinateSystem  coords=in.coordinates();
     130           0 :   Vector<Float> blc(4);
     131           0 :   Vector<Float> trc(4);
     132           0 :   blc.set(0.0);
     133           0 :   trc.set(0.0);
     134             :   {
     135             :     Int stokesIndex, k1, k2;
     136           0 :     CoordinateUtil::findStokesAxis(stokesIndex, k1, k2, coords);
     137           0 :     blc(stokesIndex) = 0.0;
     138           0 :     trc(stokesIndex) = in.shape()(stokesIndex)-1;
     139           0 :     Int spectralIndex=CoordinateUtil::findSpectralAxis(coords);
     140           0 :     blc(spectralIndex) = 0.0;
     141           0 :     trc(spectralIndex) = in.shape()(spectralIndex)-1;
     142             :   }
     143           0 :   extentguts(coords,  pointDir, fPad, iChan, blc, trc);
     144           0 :   refineSize(blc, trc, in.shape(), sizeType);
     145           0 :   LCSlicer lcs( blc, trc );
     146           0 :   return  ( new ImageRegion(lcs) );
     147             : };
     148             : 
     149             : 
     150             : 
     151         352 : Int PBMath1D::support(const CoordinateSystem& cs){
     152         352 : Int directionIndex=cs.findCoordinate(Coordinate::DIRECTION);
     153         352 :  AlwaysAssert(directionIndex>=0, AipsError);
     154             :  DirectionCoordinate
     155         704 :    directionCoord=cs.directionCoordinate(directionIndex);
     156             :  
     157         352 :  Vector<String> dirunit=directionCoord.worldAxisUnits();
     158             : 
     159             :  Double freq;
     160             :  {
     161         352 :    Int spectralIndex=cs.findCoordinate(Coordinate::SPECTRAL);
     162         352 :    AlwaysAssert(spectralIndex>=0, AipsError);
     163             :    SpectralCoordinate
     164         704 :      spectralCoord=cs.spectralCoordinate(spectralIndex);
     165             : 
     166             :    
     167         704 :    Vector<String> units(1);
     168         352 :    units = "Hz";
     169         352 :    spectralCoord.setWorldAxisUnits(units);
     170             : 
     171         704 :    Vector<Double> spectralWorld(1);
     172         352 :    Vector<Double> spectralPixel(1);
     173         352 :    spectralPixel(0) = 0;
     174         352 :    spectralCoord.toWorld(spectralWorld, spectralPixel);  
     175         352 :    freq  = spectralWorld(0);
     176             :   }
     177             : 
     178             : 
     179             : 
     180             :   // maximumRadius_p: maximum radius at 1 GHz frequency
     181             :   //Double delta = maximumRadius_p.getValue("rad") *  1.0e+9 / freq;
     182             : 
     183             : 
     184             :   //Number of pix at freq
     185         352 :   Double numpix=maximumRadius_p.getValue(dirunit(0))/fabs(directionCoord.increment()(0))*2.0*1.0e9/freq ;
     186             :   
     187             :  
     188         704 :   return Int(floor(numpix));
     189             : 
     190             : 
     191             : }
     192           0 : void  PBMath1D::refineSize(Vector<Float>& blc, Vector<Float>& trc, const IPosition& shape, 
     193             :                             SkyJones::SizeType sizeType)
     194             : {
     195             :   // Round Down and Up for BLC and TRC, make them integers
     196           0 :   Vector<Bool> blcTrouble(blc.nelements(), false);
     197           0 :   Vector<Bool> trcTrouble(blc.nelements(), false);
     198           0 :   Vector<Float> d1(2);
     199           0 :   Vector<Float> d2(2);
     200             : 
     201           0 :   for (Int i=0; i<2; i++) {
     202             : 
     203           0 :     blc(i) = (Int)(blc(i));
     204           0 :     trc(i) = (Int)(trc(i)+0.99);  // OK, its ALMOST rounding up    
     205             : 
     206           0 :    if (blc(i) < 0) {
     207           0 :       blc(i) = 0;
     208           0 :       blcTrouble(i) = true;
     209             :     }
     210           0 :    if (trc(i) > shape(i)-1) {
     211           0 :       trc(i) = shape(i)-1;
     212           0 :       trcTrouble(i) = true;
     213             :     }
     214             : 
     215           0 :     d1(i) = trc(i) - blc(i) + 1;
     216             : 
     217           0 :     if (sizeType == SkyJones::POWEROF2) {
     218           0 :       d2(i) = (Int)( pow( 2.0, (Double)(Int)(log((Double)d1(i))/log(2.0) + 1.0) )+0.01);
     219           0 :     } else if (sizeType == SkyJones::COMPOSITE) {
     220           0 :       d2(i) = composite_p.nextLarger( (Int)d1(i) );      
     221             :     } else {
     222           0 :       d2(i) = d1(i);
     223             :     }
     224             : 
     225             :     // Deal with cases:
     226             : 
     227           0 :     if (d2(i) >= shape(i)) {
     228             :       // requested size doesn't even fit into image:
     229             :       // ----- revert to image size
     230           0 :       blc(i) = 0; trc(i) = shape(i)-1;
     231             : 
     232           0 :     } else if (blcTrouble(i)) {
     233             :       // requseted size fits, but buts up against the "bottom";
     234             :       // ----- make full adjustment to the "top"
     235           0 :       blc(i) = 0; trc(i) = d2(i)-1;
     236             : 
     237           0 :     } else if (trcTrouble(i)) {
     238             :       // requseted size fits, but buts up against the "top";
     239             :       // ----- make full adjustment to the "bottom"
     240           0 :       trc(i) = shape(i)-1;  blc(i) = shape(i) - d2(i);
     241             : 
     242             :     } else {
     243             :       // requested subimage does not exceed starting image
     244             :       // ----- do appropriate thing, based on even or odd
     245           0 :       Float diff = d2(i) - d1(i);
     246           0 :       Bool even = (Bool)( (Int)diff == 2 * (Int)(diff/2) );
     247           0 :       if (even) {
     248           0 :         blc(i) = blc(i) - diff/2;
     249           0 :         trc(i) = trc(i) + diff/2;
     250             :       } else {
     251           0 :         blc(i) = blc(i) - diff/2 + 0.5;
     252           0 :         trc(i) = trc(i) + diff/2 + 0.5;
     253             :       }
     254             :     }
     255             :   }
     256           0 : };
     257             : 
     258             : 
     259             : 
     260             : 
     261             : void
     262           0 : PBMath1D::extentguts (const CoordinateSystem& coords, const MDirection& pointDir,
     263             :                   const Float fPad, const Int iChan, Vector<Float>& blc, Vector<Float>& trc)
     264             : 
     265             : {
     266           0 :   Int directionIndex=coords.findCoordinate(Coordinate::DIRECTION);
     267           0 :   AlwaysAssert(directionIndex>=0, AipsError);
     268             :   DirectionCoordinate
     269           0 :     directionCoord=coords.directionCoordinate(directionIndex);
     270           0 :   Vector<String> units(2); units = "deg";                       
     271           0 :   directionCoord.setWorldAxisUnits(units);
     272             : 
     273             :   // convert to the EPOCH of these coords
     274           0 :   MDirection::Types t2 = (MDirection::Types) (pointDir.getRef().getType());
     275           0 :   MDirection pointDirE;
     276           0 :   if (t2 != directionCoord.directionType()) {
     277           0 :     MDirection::Convert converter;
     278           0 :     ObsInfo oi=coords.obsInfo();
     279           0 :     converter.setOut(MDirection::Ref(directionCoord.directionType(), 
     280           0 :                                      MeasFrame(oi.obsDate(), oi.telescopePosition())));
     281           0 :     pointDirE = converter(pointDir);
     282             :   } else {
     283           0 :     pointDirE = pointDir;
     284             :   }
     285             : 
     286             :   Double freq;
     287             :   {
     288           0 :     Int spectralIndex=coords.findCoordinate(Coordinate::SPECTRAL);
     289           0 :     AlwaysAssert(spectralIndex>=0, AipsError);
     290             :     SpectralCoordinate
     291           0 :       spectralCoord=coords.spectralCoordinate(spectralIndex);
     292             :     
     293           0 :     units.resize(1);
     294           0 :     units = "Hz";
     295           0 :     spectralCoord.setWorldAxisUnits(units);
     296             : 
     297           0 :     Vector<Double> spectralWorld(1);
     298           0 :     Vector<Double> spectralPixel(1);
     299           0 :     spectralPixel(0) = iChan;
     300           0 :     spectralCoord.toWorld(spectralWorld, spectralPixel);  
     301           0 :     freq  = spectralWorld(0);
     302             :   }
     303             : 
     304           0 :   Vector<Double> edgeWorld(2);
     305           0 :   Vector<Double> edge1Pixel(2);
     306           0 :   Vector<Double> edge2Pixel(2);
     307             : 
     308             : 
     309             :   // maximumRadius_p: maximum radius at 1 GHz frequency
     310           0 :   Double delta = maximumRadius_p.getValue("rad") *  1.0e+9 / freq;
     311             :   {
     312           0 :     MDirection edgeDir( pointDirE );
     313           0 :     edgeDir.shift( delta, 0.0, true);
     314           0 :     edgeWorld(0) = edgeDir.getAngle().getValue("deg")(0);
     315           0 :     edgeWorld(1) = edgeDir.getAngle().getValue("deg")(1);
     316           0 :     directionCoord.toPixel(edge1Pixel, edgeWorld);
     317             :   }
     318             :   {
     319           0 :     MDirection edgeDir( pointDirE );
     320           0 :     edgeDir.shift( -delta, 0.0, true);
     321           0 :     edgeWorld(0) = edgeDir.getAngle().getValue("deg")(0);
     322           0 :     edgeWorld(1) = edgeDir.getAngle().getValue("deg")(1);
     323           0 :     directionCoord.toPixel(edge2Pixel, edgeWorld);
     324             :   }
     325           0 :   blc(0) = min( edge1Pixel(0), edge2Pixel(0) );
     326           0 :   trc(0) = max( edge1Pixel(0), edge2Pixel(0) );
     327           0 :   if (fPad > 0.1) {
     328           0 :     Float pad = (trc(0) - blc(0)) * (fPad - 1.0)/2;
     329           0 :     blc(0) = blc(0) - pad;
     330           0 :     trc(0) = trc(0) + pad;
     331             :   }
     332             :   {
     333           0 :     MDirection edgeDir( pointDirE );
     334           0 :     edgeDir.shift( 0.0, delta, true);
     335           0 :     edgeWorld(0) = edgeDir.getAngle().getValue("deg")(0);
     336           0 :     edgeWorld(1) = edgeDir.getAngle().getValue("deg")(1);
     337           0 :     directionCoord.toPixel(edge1Pixel, edgeWorld);
     338             :   }
     339             :   {
     340           0 :     MDirection edgeDir( pointDirE );
     341           0 :     edgeDir.shift( 0.0, -delta, true);
     342           0 :     edgeWorld(0) = edgeDir.getAngle().getValue("deg")(0);
     343           0 :     edgeWorld(1) = edgeDir.getAngle().getValue("deg")(1);
     344           0 :     directionCoord.toPixel(edge2Pixel, edgeWorld);
     345             :   }
     346           0 :   blc(1) = min( edge1Pixel(1), edge2Pixel(1) );
     347           0 :   trc(1) = max( edge1Pixel(1), edge2Pixel(1) );
     348           0 :   if (fPad > 0.1) {
     349           0 :     Float pad = (trc(1) - blc(1)) * (fPad - 1.0)/2;
     350           0 :     blc(1) = blc(1) - pad;
     351           0 :     trc(1) = trc(1) + pad;
     352             :   }
     353           0 : };
     354             : 
     355             : 
     356             : 
     357             : 
     358        1130 : void PBMath1D::symmetrizeSquintedBeam()
     359             : {
     360             :   // eventually we need to create the 2D squinted RR and LL
     361             :   // beams and average them.  For now, we just return the
     362             :   // unsquinted beams
     363             : 
     364        1130 :   if (vp_p.nelements() == 0) {
     365           0 :     fillPBArray();
     366             :   }
     367        1130 :   esvp_p = vp_p; 
     368        1130 : };
     369             : 
     370             : ImageInterface<Complex>&  
     371        3249 : PBMath1D::apply(const ImageInterface<Complex>& in,
     372             :                 ImageInterface<Complex>& out,
     373             :                 const MDirection& pointDir,
     374             :                 const Quantity parAngle,       
     375             :                 const BeamSquint::SquintType doSquint,
     376             :                 Bool inverse,
     377             :                 Bool conjugate,
     378             :                 Int iPower,  
     379             :                 Float cutoff,
     380             :                 Bool forward)
     381             : {
     382        9747 :   LogIO os(LogOrigin("PBMath1D", "apply"));
     383             :   // Check that in and out are comparable:
     384        3249 :   if (in.shape() != out.shape()) {
     385           0 :     throw(AipsError("PBMath1D::apply(ImageInterface...) - in and out images have different shapes"));    
     386             :   } 
     387        6498 :   CoordinateSystem coords=in.coordinates();
     388        3249 :   if (!coords.near(out.coordinates()) ) {
     389           0 :     throw(AipsError("PBMath1D::apply(ImageInterface...) - in and out images have different coordinates"));    
     390             :   }
     391             : 
     392        3249 :   Int directionIndex=coords.findCoordinate(Coordinate::DIRECTION);
     393        3249 :   AlwaysAssert(directionIndex>=0, AipsError);
     394             :   DirectionCoordinate
     395        6498 :     directionCoord=coords.directionCoordinate(directionIndex);
     396        6498 :   Vector<String> units(2); units = "deg";                       
     397        3249 :     directionCoord.setWorldAxisUnits(units);
     398             : 
     399             :   // convert to the EPOCH of these coords
     400        3249 :   MDirection::Types t2 = (MDirection::Types) (pointDir.getRef().getType());
     401        6498 :   MDirection pointDirE;
     402             : 
     403             : 
     404        3249 :   if (t2 != directionCoord.directionType()) {
     405           0 :     MDirection::Convert converter;
     406           0 :     ObsInfo oi=coords.obsInfo();
     407           0 :     converter.setOut(MDirection::Ref(directionCoord.directionType(), 
     408           0 :                                      MeasFrame(oi.obsDate(), oi.telescopePosition())));
     409           0 :     pointDirE = converter(pointDir);
     410             :   } else {
     411        3249 :     pointDirE = pointDir;
     412             :   }
     413             : 
     414        3249 :   Int stokesIndex=coords.findCoordinate(Coordinate::STOKES);
     415        3249 :   AlwaysAssert(stokesIndex>=0, AipsError);
     416             :   StokesCoordinate
     417        6498 :     stokesCoord=coords.stokesCoordinate(stokesIndex);
     418             :  
     419        3249 :   Int spectralIndex=coords.findCoordinate(Coordinate::SPECTRAL);
     420        3249 :   AlwaysAssert(spectralIndex>=0, AipsError);
     421             :   SpectralCoordinate
     422        6498 :     spectralCoord=coords.spectralCoordinate(spectralIndex);
     423             :  
     424        3249 :   units.resize(1);
     425        3249 :   units = "Hz";
     426        3249 :   spectralCoord.setWorldAxisUnits(units);
     427             :  
     428        3249 :   Int nchan=in.shape()(3);
     429             :     
     430        6498 :   Vector<Double> pointingCenterWorld(2);
     431        6498 :   Vector<Double> pointingCenterPixel(2);
     432        6498 :   Vector<Double> directionPixel(2);
     433             : 
     434        3249 :   pointingCenterWorld(0) = pointDirE.getAngle().getValue("deg")(0);
     435        3249 :   pointingCenterWorld(1) = pointDirE.getAngle().getValue("deg")(1);
     436        3249 :   directionCoord.toPixel(pointingCenterPixel, pointingCenterWorld);
     437        6498 :   MDirection newpointDirE;
     438        6498 :   Vector<Double> nonSquintedPointingPixel = pointingCenterPixel.copy();
     439             : 
     440        3249 :   os << "pointingCenterWorld " << pointingCenterWorld << LogIO::DEBUGGING;
     441        3249 :   os << "pointingCenterPixel " << pointingCenterPixel << LogIO::DEBUGGING;
     442             :   
     443             :   // Fill in a cache of the frequencies & squints
     444        6498 :   Vector<Double> spectralWorld(1);
     445        6498 :   Vector<Double> spectralPixel(1);
     446        6498 :   Matrix<Double> xSquintPixCache(2, nchan);
     447        6498 :   Matrix<Double> ySquintPixCache(2, nchan);
     448        6498 :   Vector<Double> spectralCache(nchan);
     449             : 
     450             :   {
     451        8423 :     for(Int chan=0;chan<nchan;chan++) {
     452        5174 :       spectralPixel(0)=chan;
     453        5174 :       if(!spectralCoord.toWorld(spectralWorld, spectralPixel)) {
     454           0 :         os  << "Cannot find frequency for this plane" << LogIO::EXCEPTION;
     455             :       }
     456        5174 :       spectralCache(chan)=spectralWorld(0);
     457             : 
     458             :       
     459        5174 :       if (doSquint == BeamSquint::RR || doSquint == BeamSquint::GOFIGURE) {
     460          63 :         squint_p.getPointingDirection (pointDirE,
     461             :                                        parAngle, 
     462         126 :                                        Quantity(spectralWorld(0),"Hz"),
     463             :                                        BeamSquint::RR, newpointDirE);
     464          63 :         pointingCenterWorld(0) = newpointDirE.getAngle().getValue("deg")(0);
     465          63 :         pointingCenterWorld(1) = newpointDirE.getAngle().getValue("deg")(1);
     466          63 :         directionCoord.toPixel(pointingCenterPixel, pointingCenterWorld);
     467          63 :         xSquintPixCache(0, chan) = pointingCenterPixel(0);
     468          63 :         ySquintPixCache(0, chan) = pointingCenterPixel(1);
     469             :       } else {
     470        5111 :         xSquintPixCache(0, chan) =  nonSquintedPointingPixel(0);
     471        5111 :         ySquintPixCache(0, chan) =  nonSquintedPointingPixel(1);
     472             :       }
     473        5174 :       if (doSquint == BeamSquint::LL || doSquint == BeamSquint::GOFIGURE) {
     474          63 :         squint_p.getPointingDirection (pointDirE,
     475             :                                        parAngle, 
     476         126 :                                        Quantity(spectralWorld(0),"Hz"),
     477             :                                        BeamSquint::LL, newpointDirE);
     478          63 :         pointingCenterWorld(0) = newpointDirE.getAngle().getValue("deg")(0);
     479          63 :         pointingCenterWorld(1) = newpointDirE.getAngle().getValue("deg")(1);
     480          63 :         directionCoord.toPixel(pointingCenterPixel, pointingCenterWorld);
     481          63 :         xSquintPixCache(1, chan) = pointingCenterPixel(0);
     482          63 :         ySquintPixCache(1, chan) = pointingCenterPixel(1);
     483             :       } else {
     484        5111 :         xSquintPixCache(1, chan) =  nonSquintedPointingPixel(0);
     485        5111 :         ySquintPixCache(1, chan) =  nonSquintedPointingPixel(1);
     486             :       }
     487             :     }
     488             :   }
     489             : 
     490             :   /*
     491             :   cout << "pointingCenterPixel x,y = " << nonSquintedPointingPixel << endl;
     492             :   cout << "squinted pointingCenterPixel x,y RR = " << xSquintPixCache(0, 0) << ", " 
     493             :        << ySquintPixCache(0, 0) << endl;
     494             :   cout << "squinted pointingCenterPixel x,y LL = " << xSquintPixCache(1, 0) << ", " 
     495             :        << ySquintPixCache(1, 0) << endl;
     496             :   */
     497             : 
     498             :   // Iterate through in minimum IO/Memory chunks
     499             :   //IPosition ncs = in.niceCursorShape();
     500        6498 :   IPosition ncs=in.shape();
     501        3249 :   ncs(2) = 1; ncs(3) = 1;
     502        9747 :   RO_LatticeIterator<Complex> li(in, LatticeStepper(in.shape(), ncs, IPosition(4,0,1,2,3) )  );
     503        9747 :   LatticeIterator<Complex> oli(out, LatticeStepper(in.shape(), ncs, IPosition(4,0,1,2,3)) );
     504             : 
     505             :   // taper no longer appears to be used
     506             :   //Complex taper;
     507             :   //Float r2=0.0;
     508             :   //Float r=0.0;
     509             : 
     510        3249 :   Vector<Double> increment = directionCoord.increment();
     511        3249 :   Int rrplane = -1;
     512        3249 :   Int llplane = -1;
     513        3249 :   stokesCoord.toPixel( rrplane, Stokes::RR );
     514        3249 :   stokesCoord.toPixel( llplane, Stokes::LL );
     515             : 
     516             :   /*
     517             :   cout << "stokes types in image = " << stokesCoord.stokes() << endl;
     518             :   cout << "rr plane = " << rrplane << "   ll plane = " << llplane << endl;
     519             : 
     520             :   */
     521             :   Double xPixel;  Double yPixel;
     522             : 
     523        3249 :   Int laststokes = -1;
     524        3249 :   Int lastChan = -1;
     525             :   Int ichan;
     526             :   Int istokes;
     527             :   Int ix0, iy0;
     528             :   //Int indx;
     529        8656 :   for(li.reset(),oli.reset();!li.atEnd();li++,oli++) {
     530             : 
     531       10814 :     IPosition itsShape(li.matrixCursor().shape());
     532       10814 :     IPosition loc(li.position());
     533             : 
     534        5407 :     ichan = loc(3);
     535        5407 :     istokes = loc(2);
     536        5407 :     iy0 = loc(1);
     537        5407 :     ix0 = loc(0);
     538             : 
     539             :     // determine the pointing: RR, LL, or Center? We make a slight mistake
     540             :     // here since we ignore the difference between the RR beam and the
     541             :     // RL beam, say. The latter is slightly smaller because of the
     542             :     // squint. Hence this code should be deprecated in favor of the
     543             :     // correct 2D version (when mosaicing in polarization)
     544        5407 :     if ((doSquint == BeamSquint::RR) ||
     545          63 :         ((doSquint == BeamSquint::GOFIGURE) && (istokes == rrplane)) ) {
     546           0 :       xPixel = xSquintPixCache(0, ichan);
     547           0 :       yPixel = ySquintPixCache(0, ichan);
     548        5407 :     } else if ((doSquint == BeamSquint::LL) ||
     549          63 :                ((doSquint == BeamSquint::GOFIGURE) && (istokes == llplane)) ) {
     550           0 :       xPixel = xSquintPixCache(1, ichan);
     551           0 :       yPixel = ySquintPixCache(1, ichan);
     552             :     } else {
     553        5407 :       xPixel = nonSquintedPointingPixel(0);
     554        5407 :       yPixel = nonSquintedPointingPixel(1);
     555             :     }
     556             : 
     557        5407 :     if (istokes != laststokes) {
     558             :       //cerr << "Stokes = " << istokes << " pix = " << xPixel << ", " << yPixel << endl;
     559        3522 :       laststokes = istokes;
     560             :     }
     561             : 
     562        5407 :     Double factor = 60.0 * spectralCache(ichan)/1.0e+9 ;  // arcminutes * GHz
     563        5407 :     Double rmax2 = square( maximumRadius_p.getValue("'") / factor );
     564        5407 :     if (wideFit_p) {
     565             :       // fill vp with interpolated values for current frequency
     566        1282 :       if (ichan!=lastChan) {
     567        1282 :         nearestVPArray(spectralCache(ichan));
     568        1282 :         lastChan=ichan;
     569             :       }
     570             :     }
     571             :                        
     572       10814 :     Vector<Float> rx2(itsShape(0));
     573       10814 :     Vector<Float> ry2(itsShape(1));
     574     3779878 :     for(Int ix=0;ix<itsShape(0);ix++) {
     575     3774471 :       rx2(ix) =  square( increment(0)*((Double)(ix+ix0) - xPixel) );
     576             :     }
     577     2710788 :     for(Int iy=0;iy<itsShape(1);iy++) {
     578     2705381 :       ry2(iy) =  square( increment(1)*((Double)(iy+iy0) - yPixel) );
     579             :     }
     580             :    
     581        5407 :     const Matrix<Complex>& inmat = li.matrixCursor();
     582        5407 :     Matrix<Complex>& outmat=oli.rwMatrixCursor();
     583             : 
     584             :     Bool incopy, outcopy, del;
     585        5407 :     const Complex * inpoint = inmat.getStorage(incopy);
     586        5407 :     Complex *outpoint =outmat.getStorage(outcopy);
     587        5407 :     Float * rx2point = rx2.getStorage(del);
     588        5407 :     Float * ry2point= ry2.getStorage(del);
     589        5407 :     Complex* vppoint=vp_p.getStorage(del);
     590        5407 :     Int nx=itsShape(0);
     591        5407 :     Int ny=itsShape(1);
     592        5407 :     Double inverseIncrementRadius=inverseIncrementRadius_p;
     593        5407 : #pragma omp parallel default(none) firstprivate(inpoint, outpoint, rx2point, ry2point, vppoint, iPower, conjugate, inverse, forward, nx, ny, rmax2, factor, inverseIncrementRadius, cutoff)
     594             :     {
     595             : #pragma omp for   
     596             :     for(Int iy=0;iy<ny;iy++) {
     597             :       Float ry2val=ry2point[iy];
     598             :       applyXLine(inpoint, outpoint , rx2point , vppoint , ry2val, iPower, conjugate, inverse, forward, nx, iy, rmax2, 
     599             :                  factor, inverseIncrementRadius, cutoff);
     600             :       /*for(Int ix=0;ix<itsShape(0);ix++) {
     601             : 
     602             :         r2 =  rx2(ix) +  ry2(iy);
     603             :         
     604             :         if (r2 > rmax2) {
     605             :           oli.rwMatrixCursor()(ix, iy) = 0.0;
     606             :         } else {
     607             :           r = sqrt(r2) * factor;
     608             :           indx = Int(r*inverseIncrementRadius_p);
     609             :           if (norm(vp_p(indx)) > 0.0) {
     610             :             if(iPower==2) {
     611             :               taper = vp_p(indx) * conj(vp_p(indx));
     612             :             }
     613             :             else {
     614             :               taper = vp_p(indx);
     615             :             }
     616             :           } else {
     617             :             taper = 0.0;
     618             :           }
     619             :           if (conjugate) {
     620             :             taper =  conj(taper);
     621             :           }
     622             :           // Differentiate between forward (Sky->UV) and
     623             :           // inverse (UV->Sky) - these need different
     624             :           // applications of the PB
     625             :           if(!forward) {
     626             :             taper =  conj(taper);
     627             :           }
     628             :           if (inverse) {
     629             :             if (abs(taper) < cutoff ) {
     630             :               oli.rwMatrixCursor()(ix, iy) = 0.0;
     631             :             } else {
     632             :               oli.rwMatrixCursor()(ix, iy) = li.matrixCursor()(ix, iy) / taper ;
     633             :             }
     634             :           } else {  // not inverse!
     635             :             oli.rwMatrixCursor()(ix, iy) = li.matrixCursor()(ix, iy) * taper;
     636             :           }
     637             :         }
     638             :       }
     639             :       */
     640             :     }
     641             :     } //end pragma
     642        5407 :     outmat.putStorage(outpoint, outcopy);
     643        5407 :     inmat.freeStorage(inpoint, incopy);
     644             :   }
     645             : 
     646        6498 :   return out;
     647             : 
     648             : };
     649             : 
     650     2705381 :   void PBMath1D::applyXLine(const Complex*& in, Complex*& out, Float*& rx2, Complex*& vp, const Float ry2, const Int ipower, const Bool conjugate, const Bool inverse, const Bool forward, const Int nx, const Int iy, const Double rmax2, const Double factor, const Double inverseIncrementRadius, const Float cutoff)
     651             : { 
     652             :   Float r;
     653             :   Int indx;
     654     2705381 :   Complex taper;
     655  3178039902 :   for(Int ix=0;ix<nx;ix++) {
     656             :     
     657  3175334521 :     Float r2 =  rx2[ix] +  ry2;
     658             :         
     659  3175334521 :     if (r2 > rmax2){
     660  2045959838 :       out[ix+iy*nx] = 0.0;
     661             :     } 
     662             :     else {
     663  1129374683 :       r = sqrt(r2) * factor;
     664  1129374683 :       indx = Int(r*inverseIncrementRadius);
     665  1129374683 :       if (norm(vp[indx]) > 0.0) {
     666  1075476995 :         if(ipower==2) {
     667   587347498 :           taper = vp[indx] * conj(vp[indx]);
     668             :         }
     669             :         else {
     670   488129497 :           taper = vp[indx];
     671             :         }
     672             :       } else {
     673    53897688 :         taper = 0.0;
     674             :       }
     675  1129374683 :       if (conjugate) {
     676           0 :         taper =  conj(taper);
     677             :       }
     678             :       // Differentiate between forward (Sky->UV) and
     679             :       // inverse (UV->Sky) - these need different
     680             :       // applications of the PB
     681  1129374683 :       if(!forward) {
     682           0 :         taper =  conj(taper);
     683             :       }
     684  1129374683 :       if (inverse) {
     685           0 :         if (abs(taper) < cutoff ) {
     686           0 :           out[ix+iy*nx] = 0.0;
     687             :         } else {
     688           0 :           out[ix+iy*nx]  = (in[ix+iy*nx]) / taper ;
     689             :         }
     690             :       } else {  // not inverse!
     691  1129374683 :         out[ix+iy*nx]  = (in[ix+iy*nx]) * taper ;
     692             :       }
     693             :     }
     694             :   }
     695     2705381 : };
     696             : 
     697             : ImageInterface<Float>& 
     698          40 : PBMath1D::apply(const ImageInterface<Float>& in,
     699             :                 ImageInterface<Float>& out,
     700             :                 const MDirection& pointDir,
     701             :                 const Quantity parAngle,
     702             :                 const BeamSquint::SquintType doSquint,
     703             :                 Float /*cutoff*/, const Int ipower)
     704             : {
     705         120 :   LogIO os(LogOrigin("PBMath1D", "apply"));
     706             :  
     707             :   //  cout << "PBMath1D::apply: image shape: " << in.shape() << endl;
     708             :   // Check that in and out are comparable:
     709          40 :   if (in.shape() != out.shape()) {
     710           0 :     throw(AipsError("PBMath1D::apply(ImageInterface...) - in and out images have different shapes"));
     711             :     
     712             :   } 
     713          80 :   CoordinateSystem coords=in.coordinates();
     714          40 :   if (!coords.near(out.coordinates())) {
     715           0 :     throw(AipsError("PBMath1D::apply(ImageInterface...) - in and out images have different coordinates"));
     716             :   }
     717             : 
     718          40 :   Int directionIndex=coords.findCoordinate(Coordinate::DIRECTION);
     719          40 :   AlwaysAssert(directionIndex>=0, AipsError);
     720             :   DirectionCoordinate
     721          80 :     directionCoord=coords.directionCoordinate(directionIndex);
     722          80 :   Vector<String> units(2); units = "deg";                       
     723          40 :     directionCoord.setWorldAxisUnits(units);
     724             : 
     725             :   // convert to the EPOCH of these coords
     726          40 :   MDirection::Types t2 = (MDirection::Types) (pointDir.getRef().getType());
     727          80 :   MDirection pointDirE(pointDir);
     728             : 
     729          40 :   if (t2 != directionCoord.directionType()) {
     730           0 :     MDirection::Convert converter;
     731           0 :     ObsInfo oi=coords.obsInfo();
     732           0 :     converter.setOut(MDirection::Ref(directionCoord.directionType(), 
     733           0 :                                      MeasFrame(oi.obsDate(), oi.telescopePosition())));
     734           0 :     pointDirE = converter(pointDir);
     735             :   } else {
     736          40 :     pointDirE = pointDir;
     737             :   }
     738          40 :   Int stokesIndex=coords.findCoordinate(Coordinate::STOKES);
     739          40 :   AlwaysAssert(stokesIndex>=0, AipsError);
     740             :   StokesCoordinate
     741          80 :     stokesCoord=coords.stokesCoordinate(stokesIndex);
     742             :  
     743          40 :   Int spectralIndex=coords.findCoordinate(Coordinate::SPECTRAL);
     744          40 :   AlwaysAssert(spectralIndex>=0, AipsError);
     745             :   SpectralCoordinate
     746          80 :     spectralCoord=coords.spectralCoordinate(spectralIndex);
     747             :  
     748          40 :   units.resize(1);
     749          40 :   units = "Hz";
     750          40 :   spectralCoord.setWorldAxisUnits(units);
     751             :  
     752          40 :   Int nchan=in.shape()(3);
     753             :     
     754          80 :   Vector<Double> pointingCenterWorld(2);
     755          80 :   Vector<Double> pointingCenterPixel(2);
     756          80 :   Vector<Double> directionPixel(2);
     757             : 
     758          40 :   pointingCenterWorld(0) = pointDirE.getAngle().getValue("deg")(0);
     759          40 :   pointingCenterWorld(1) = pointDirE.getAngle().getValue("deg")(1);
     760          40 :   directionCoord.toPixel(pointingCenterPixel, pointingCenterWorld);
     761          80 :   MDirection newpointDirE;
     762          80 :   Vector<Double> nonSquintedPointingPixel = pointingCenterPixel.copy();
     763             : 
     764          40 :   os << "pointingCenterWorld " << pointingCenterWorld << LogIO::DEBUGGING;
     765          40 :   os << "pointingCenterPixel " << pointingCenterPixel << LogIO::DEBUGGING;
     766             : 
     767             :   // Fill in a cache of the frequencies & squints
     768          80 :   Vector<Double> spectralWorld(1);
     769          80 :   Vector<Double> spectralPixel(1);
     770          80 :   Matrix<Double> xSquintPixCache(2, nchan);  // kludge: prevent errors when nchan = 1
     771          80 :   Matrix<Double> ySquintPixCache(2, nchan);
     772          80 :   Vector<Double> spectralCache(nchan);
     773             : 
     774             :   {
     775         108 :     for(Int chan=0;chan<nchan;chan++) {
     776          68 :       spectralPixel(0)=chan;
     777          68 :       if(!spectralCoord.toWorld(spectralWorld, spectralPixel)) {
     778           0 :         os  << "Cannot find frequency for this plane" << LogIO::EXCEPTION;
     779             :       }
     780          68 :       spectralCache(chan)=spectralWorld(0);
     781             : 
     782             :       
     783          68 :       if (doSquint == BeamSquint::RR || doSquint == BeamSquint::GOFIGURE) {
     784          68 :         squint_p.getPointingDirection (pointDirE,
     785             :                                        parAngle, 
     786         136 :                                        Quantity(spectralWorld(0),"Hz"),
     787             :                                        BeamSquint::RR, newpointDirE);
     788          68 :         pointingCenterWorld(0) = newpointDirE.getAngle().getValue("deg")(0);
     789          68 :         pointingCenterWorld(1) = newpointDirE.getAngle().getValue("deg")(1);
     790          68 :         directionCoord.toPixel(pointingCenterPixel, pointingCenterWorld);
     791          68 :         xSquintPixCache(0, chan) = pointingCenterPixel(0);
     792          68 :         ySquintPixCache(0, chan) = pointingCenterPixel(1);
     793             :       } else {
     794           0 :         xSquintPixCache(0, chan) =  nonSquintedPointingPixel(0);
     795           0 :         ySquintPixCache(0, chan) =  nonSquintedPointingPixel(1);
     796             :       }
     797          68 :       if (doSquint == BeamSquint::LL || doSquint == BeamSquint::GOFIGURE) {
     798          68 :         squint_p.getPointingDirection (pointDirE,
     799             :                                        parAngle, 
     800         136 :                                        Quantity(spectralWorld(0),"Hz"),
     801             :                                        BeamSquint::LL, newpointDirE);
     802          68 :         pointingCenterWorld(0) = newpointDirE.getAngle().getValue("deg")(0);
     803          68 :         pointingCenterWorld(1) = newpointDirE.getAngle().getValue("deg")(1);
     804          68 :         directionCoord.toPixel(pointingCenterPixel, pointingCenterWorld);
     805          68 :         xSquintPixCache(1, chan) = pointingCenterPixel(0);
     806          68 :         ySquintPixCache(1, chan) = pointingCenterPixel(1);
     807             :       } else {
     808           0 :         xSquintPixCache(1, chan) =  nonSquintedPointingPixel(0);
     809           0 :         ySquintPixCache(1, chan) =  nonSquintedPointingPixel(1);
     810             :       }
     811             :     }
     812             :   }
     813             : 
     814             : 
     815             :   // Iterate through in minimum IO/Memory chunks
     816          80 :   IPosition ncs = in.niceCursorShape();
     817             :   // IPosition ncs=in.shape();
     818          40 :   ncs(2) = 1; ncs(3) = 1;
     819          40 :   ncs(2) = 1; ncs(3) = 1;
     820         120 :   RO_LatticeIterator<Float> li(in, LatticeStepper(in.shape(), ncs, IPosition(4,0,1,2,3) )  );
     821         120 :   LatticeIterator<Float> oli(out, LatticeStepper(in.shape(), ncs, IPosition(4,0,1,2,3)) );
     822             : 
     823             :   //Vector<Float> taper(vp_p.nelements());
     824          40 :   Float taper=0.0;
     825          40 :   Float r2=0.0;
     826          40 :   Float r=0.0;
     827             : 
     828          40 :   Vector<Double> increment = directionCoord.increment();
     829          40 :   Int rrplane = -1;
     830          40 :   Int llplane = -1;
     831          40 :   stokesCoord.toPixel( rrplane, Stokes::RR );
     832          40 :   stokesCoord.toPixel( llplane, Stokes::LL );
     833             : 
     834             :   Double xPixel;  Double yPixel;
     835             : 
     836          40 :   Int laststokes = -1;
     837          40 :   Int lastChan   = -1;
     838             :   Int ichan;
     839             :   Int istokes;
     840             :   Int ix0, iy0;
     841             :   Int indx;
     842             : 
     843         108 :   for(li.reset(),oli.reset();!li.atEnd();li++,oli++) {
     844             : 
     845         136 :     IPosition itsShape(li.matrixCursor().shape());
     846         136 :     IPosition loc(li.position());
     847             : 
     848          68 :     ichan = loc(3);
     849          68 :     istokes = loc(2);
     850          68 :     iy0 = loc(1);
     851          68 :     ix0 = loc(0);
     852             : 
     853             :     // determine the pointing: RR, LL, or Center?
     854          68 :     if ((doSquint == BeamSquint::RR) ||
     855          68 :         ((doSquint == BeamSquint::GOFIGURE) && (istokes == rrplane)) ) {
     856           0 :       xPixel = xSquintPixCache(0, ichan);
     857           0 :       yPixel = ySquintPixCache(0, ichan);
     858          68 :     } else if ((doSquint == BeamSquint::LL) ||
     859          68 :                ((doSquint == BeamSquint::GOFIGURE) && (istokes == llplane ))) {
     860           0 :       xPixel = xSquintPixCache(1, ichan);
     861           0 :       yPixel = ySquintPixCache(1, ichan);
     862             :     } else {
     863          68 :       xPixel = nonSquintedPointingPixel(0);
     864          68 :       yPixel = nonSquintedPointingPixel(1);
     865             :     }
     866             :   
     867          68 :     if (istokes != laststokes) {
     868             :       //      cout << "Stokes = " << istokes << " pix = " << xPixel << ", " << yPixel << endl;
     869          40 :       laststokes = istokes;
     870             :     }
     871             : 
     872          68 :     Double factor = 60.0 * spectralCache(ichan)/1.0e+9 ;  // arcminutes * GHz
     873          68 :     Double rmax2 = square( maximumRadius_p.getValue("'") / factor );
     874          68 :     if (wideFit_p) {
     875             :       // fill vp with interpolated values for current frequency
     876           0 :       if (ichan!=lastChan) {
     877           0 :         nearestVPArray(spectralCache(ichan));
     878           0 :         lastChan = ichan;
     879             :       }
     880             :     }
     881             :     
     882             :     //taper.set(0.0);
     883             :     /*for (uInt inda=0; inda < vp_p.nelements(); ++inda){
     884             :       if (norm(vp_p(inda)) > 0.0) {
     885             :         taper[inda] = real(vp_p(inda)) * real(vp_p(inda)) + imag(vp_p(inda))*imag(vp_p(inda));
     886             :         if(ipower==4)
     887             :           taper[inda] *= taper[inda];
     888             :       } 
     889             : 
     890             :     } 
     891             :     */
     892             : 
     893         136 :     Vector<Float> rx2(itsShape(0));
     894         136 :     Vector<Float> ry2(itsShape(1));
     895      135868 :     for(Int ix=0;ix<itsShape(0);ix++) {
     896      135800 :       rx2(ix) =  square( increment(0)*((Double)(ix+ix0) - xPixel) );
     897             :     }
     898      135868 :     for(Int iy=0;iy<itsShape(1);iy++) {
     899      135800 :       ry2(iy) =  square( increment(1)*((Double)(iy+iy0) - yPixel) );
     900             :     }
     901             : 
     902      135868 :     for(Int iy=0;iy<itsShape(1);iy++) {
     903  1036796200 :       for(Int ix=0;ix<itsShape(0);ix++) {
     904             : 
     905  1036660400 :         r2 =  rx2(ix) +  ry2(iy);
     906  1036660400 :         if (r2 > rmax2) {
     907  1032186012 :           oli.rwMatrixCursor()(ix, iy) = 0.0;
     908             :         } else {
     909     4474388 :           r = sqrt(r2) * factor;
     910     4474388 :           indx = Int(r*inverseIncrementRadius_p);
     911     4474388 :           if (norm(vp_p(indx)) > 0.0) {
     912     4474388 :             taper = real(vp_p(indx)) * real(vp_p(indx))+ imag(vp_p(indx)) * imag(vp_p(indx));
     913     4474388 :             if(ipower==4)
     914     4474388 :               taper *= taper;
     915             :           }
     916             :           //else {
     917             :           //  taper = 0.0;
     918             :           //}
     919     4474388 :           oli.rwMatrixCursor()(ix, iy) = li.matrixCursor()(ix,iy) * taper;
     920             :         }
     921             :       }
     922             :     }
     923             :   }
     924          80 :   return out;
     925             : 
     926             : };
     927             : 
     928             : // Behavior:  doSquint == RR or LL don't make sense here
     929             : //
     930             : //
     931             :  
     932             : SkyComponent& 
     933        2491 : PBMath1D::apply(SkyComponent& in,
     934             :                 SkyComponent& out,
     935             :                 const MDirection& pointDir,
     936             :                 const Quantity frequency,
     937             :                 const Quantity parAngle,          
     938             :                 const BeamSquint::SquintType doSquint,
     939             :                 Bool inverse,
     940             :                 Bool conjugate,
     941             :                 Int iPower,
     942             :                 Float cutoff,
     943             :                 Bool /*forward*/)
     944             : {
     945             :   // if ( doSquint == NONE ) we can deal with any polarisation representation
     946             :   // if ( doSquint == GOFIGURE) an exception is thrown if polarisation is not CIRCULAR
     947             :   // if ( doSquint == RR || doSquint == LL ) an exception is thrown,
     948             :   //           as it is not valid to apply the RR or LL squint to ALL polarisations
     949             : 
     950             :   // Also: we can do nothing with spectral index models
     951             :   
     952             : 
     953             :   // convert to the EPOCH of these coords
     954        2491 :   MDirection::Types t1 = (MDirection::Types) (in.shape().refDirection().getRef().getType());
     955        2491 :   MDirection::Types t2 = (MDirection::Types) (pointDir.getRef().getType());
     956             : 
     957        4982 :   MDirection pointDirE;
     958        2491 :   if ( t1 != t2) {
     959           0 :     MDirection::Convert converter;
     960           0 :     converter.setOut( t1 );
     961           0 :     pointDirE = converter(pointDir);
     962             :   } else {
     963        2491 :     pointDirE = pointDir;
     964             :   }
     965             : 
     966        2491 :   if (doSquint == BeamSquint::RR || doSquint == BeamSquint::LL) {
     967           0 :     throw(AipsError("PBMath1D::apply(SkyComponent...) - cannot force a SkyComponent to have Squint RR or LL"));
     968             :   }
     969        2491 :   if (doSquint == BeamSquint::GOFIGURE) {
     970        2491 :     if (in.flux().pol() != ComponentType::CIRCULAR) {
     971         397 :       in.flux().convertPol(ComponentType::CIRCULAR);
     972             :     }
     973             :   }
     974             : 
     975        4982 :   Vector<DComplex> compFluxIn = in.flux().value();
     976        4982 :   Vector<DComplex> compFlux = out.flux().value();
     977        2491 :   compFlux = compFluxIn.copy();
     978             : 
     979             :   // Find the direction of the component
     980        4982 :   MDirection compDir = in.shape().refDirection();
     981             : 
     982             :   // Now taper all polarizations appropriately
     983             :   
     984             :   // Sort out any frequency interpolation
     985             :   //Int ifit=0;
     986             :   //Float lfit=0;
     987             :   //Int nFreq=wFreqs_p.nelements();
     988        2491 :   if (wideFit_p) {
     989           0 :     Double freq = frequency.getValue("Hz");
     990           0 :     nearestVPArray(freq);
     991             :     /* for (ifit=0; ifit<nFreq; ifit++) {
     992             :       if (freq<=wFreqs_p(ifit)) break;
     993             :     }
     994             :     if (ifit>0 && ifit<nFreq) {
     995             :       lfit=(freq-wFreqs_p(ifit-1)) / (wFreqs_p(ifit)-wFreqs_p(ifit-1));
     996             :     }
     997             :     */
     998             :   }
     999             :   
    1000        2491 :   MDirection newpointDirE;
    1001       12455 :   for (Int pol=0;pol<4;pol++) {
    1002        9964 :     Stokes::StokesTypes stokes=Stokes::type(pol+5);
    1003             : 
    1004        9964 :     if (stokes == Stokes::RR &&  doSquint == BeamSquint::GOFIGURE) {
    1005        2491 :       squint_p.getPointingDirection (pointDirE, parAngle, frequency, BeamSquint::RR,
    1006             :                                      newpointDirE );
    1007        7473 :     } else if (stokes == Stokes::LL && doSquint == BeamSquint::GOFIGURE) {
    1008        2491 :       squint_p.getPointingDirection (pointDirE, parAngle, frequency, BeamSquint::LL,
    1009             :                                      newpointDirE );
    1010             :     } else {
    1011        4982 :       newpointDirE = pointDirE;
    1012             :     }
    1013             : 
    1014       19928 :     MVDirection mvd1( compDir.getAngle() );
    1015       19928 :     MVDirection mvd2( newpointDirE.getAngle() );
    1016       19928 :     Quantity sep =  mvd1.separation(mvd2, "'"); 
    1017        9964 :     double r = sep.getValue("'") * frequency.getValue("Hz") / 1.0e+9;  // arcminutes * GHz 
    1018        9964 :     Complex taper;
    1019        9964 :     Int ir = Int(r*inverseIncrementRadius_p);
    1020             :     //vp_p is interpolated wvp_p from above 
    1021        9964 :     Complex vpVal = ir >= Int(vp_p.nelements()) ? Complex(0) : vp_p(ir);
    1022             :     /*if (wideFit_p) {
    1023             :       if (ifit==0) {
    1024             :         vpVal = wbvp_p(ir,0);
    1025             :       } else if (ifit==nFreq) {
    1026             :         vpVal = wbvp_p(ir,nFreq-1);
    1027             :       } else {
    1028             :         vpVal = wbvp_p(ir,ifit-1)*(1-lfit) + wbvp_p(ir,ifit)*lfit;
    1029             :       }
    1030             :     }
    1031             :      */
    1032             :     
    1033        9964 :     if (r > maximumRadius_p.getValue("'")) {
    1034         192 :       compFlux(pol) = 0.0;
    1035             :     } else {
    1036        9772 :       if (norm(vpVal) > 0.0) {
    1037        9772 :         if(iPower>1){
    1038        9772 :           taper=vpVal*conj(vpVal);
    1039        9772 :           if(iPower==4)
    1040           0 :             taper*=taper;
    1041             :         }  
    1042             :         else{
    1043           0 :           taper = vpVal;
    1044             :           //taper = pow( vp_p(Int(r*inverseIncrementRadius_p)), (Float)iPower);
    1045             :         }
    1046             :       } else {
    1047           0 :         taper = 0.0;
    1048             :       }
    1049        9772 :       if (conjugate) {
    1050           0 :         taper =  conj(taper);
    1051             :       }
    1052        9772 :       if (inverse) {
    1053           0 :         if (abs(taper) < cutoff ) {
    1054           0 :           compFlux(pol) = 0.0;
    1055             :         } else {
    1056           0 :           compFlux(pol) /= taper ;
    1057             :         }
    1058             :       } else {  // not inverse!
    1059        9772 :         compFlux(pol) *= taper;
    1060             :       }
    1061             :     }    
    1062             :   }
    1063             : 
    1064             :   // Set the output component fluxes 
    1065        2491 :   out = in.copy();
    1066        2491 :   out.flux().setValue(compFlux);
    1067             : 
    1068        4982 :   return out;
    1069             : 
    1070             : };
    1071             : 
    1072          17 : void PBMath1D::summary(Int nValues)
    1073             : {
    1074          34 :   String  name;
    1075          17 :   namePBClass(name);
    1076          34 :   LogIO os(LogOrigin("PBMath1D", "summary"));
    1077          17 :   os << "Using " << name << " PB Class " <<  LogIO::POST;
    1078          17 :   PBMathInterface::summary(nValues);
    1079             : 
    1080          17 :   if (nValues > 0) {
    1081           0 :     os << "Primary Beam Sampled Data: " <<  LogIO::POST;
    1082           0 :     os << "  r[']      pb[@ 1 GHz] " <<  LogIO::POST;
    1083           0 :     Vector<Float> rr;
    1084           0 :     Vector<Float> pb;
    1085           0 :     viewPB(rr, pb, nValues);
    1086           0 :     for (Int ii=0;ii<nValues;ii++) { 
    1087           0 :       os << rr(ii) << " " << pb(ii) <<  LogIO::POST; 
    1088             :     }
    1089             :   }
    1090             :   os << "Max Radius at " <<   refFreq_p.getValue("GHz") << " GHz: " 
    1091          17 :      << maximumRadius_p.getValue("'") << " arcmin " <<  LogIO::POST; 
    1092             : 
    1093          17 : };
    1094             : 
    1095             : 
    1096         628 : Bool PBMath1D::ok()
    1097             : {
    1098         628 :   if (vp_p.nelements() == 0) {
    1099           0 :     return false;
    1100         628 :   } else if (maximumRadius_p.getValue() <= 0.0) {
    1101           0 :     return false;
    1102         628 :   } else if (refFreq_p.getValue() <= 0.0) {
    1103           0 :     return false;
    1104         628 :   } else if (inverseIncrementRadius_p <= 0.0) {
    1105           0 :     return false;
    1106             :   } else {
    1107         628 :     return true;
    1108             :   }
    1109             : };
    1110             : 
    1111             : 
    1112           0 : void PBMath1D::viewPB(Vector<Float>& r, Vector<Float>& pb, Int n_pb, const Double freq)
    1113             : {
    1114           0 :   r.resize(n_pb);
    1115           0 :   pb.resize(n_pb);
    1116           0 :   if(wideFit_p)
    1117           0 :     nearestVPArray(freq);
    1118           0 :   Int nSamples= vp_p.nelements();
    1119           0 :   for (Int i=0; i< n_pb; i++) {
    1120           0 :     pb(i) = norm( vp_p( (Int) ((nSamples-1)* (((Float)i)/(n_pb-1) ) ) ) );
    1121           0 :     r(i) =  maximumRadius_p.getValue("'") *  (((Float)i)/(n_pb-1));
    1122             :   }
    1123             : 
    1124           0 : };
    1125           0 : void PBMath1D::nearestVPArray(Double freq, bool printINFO){
    1126           0 :     LogIO os(LogOrigin("PBMATH1D", "nearestVPArray"));
    1127           0 :     Int ifit=0;
    1128             :   
    1129           0 :   Int nFreq=wFreqs_p.nelements();
    1130           0 :   for (ifit=0; ifit<nFreq; ifit++) {
    1131           0 :     if (freq <=wFreqs_p(ifit)) break;
    1132             :   }
    1133           0 :   if(printINFO)
    1134           0 :         os << LogIO::NORMAL1 << "Using beam model of frequency  " << ((ifit==nFreq) ? wFreqs_p(nFreq-1) : wFreqs_p(ifit)) << " MHz " << LogIO::POST;
    1135           0 :   if (ifit==0) {
    1136           0 :     vp_p = wbvp_p.column(0);
    1137           0 :   } else if (ifit==nFreq) {
    1138           0 :     vp_p = wbvp_p.column(nFreq-1);
    1139             :   } else {
    1140           0 :     Float l = (freq - wFreqs_p(ifit-1))/
    1141           0 :       (wFreqs_p(ifit)-wFreqs_p(ifit-1));
    1142           0 :     vp_p = wbvp_p.column(ifit-1)*(1-l) + wbvp_p.column(ifit)*l;
    1143             :   }
    1144             : 
    1145             : 
    1146           0 : }
    1147             : 
    1148             : } //# NAMESPACE CASA - END
    1149             : 

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