LCOV - code coverage report
Current view: top level - synthesis/TransformMachines - PBMath1D.cc (source / functions) Hit Total Coverage
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Date: 2023-11-02 14:27:30 Functions: 0 18 0.0 %

          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           0 : PBMath1D::PBMath1D()
      67           0 :   : composite_p(2048)
      68             : {
      69           0 : };
      70             : 
      71             : 
      72           0 : PBMath1D::PBMath1D(Quantity maximumRadius,
      73             :                    Quantity refFreq,
      74             :                    Bool isThisVP,
      75             :                    BeamSquint squint,
      76           0 :                    Bool useSymmetricBeam) :
      77             :   PBMathInterface(isThisVP, squint, useSymmetricBeam),
      78             :   wideFit_p(false),maximumRadius_p(maximumRadius),
      79             :   refFreq_p(refFreq),
      80           0 :   composite_p(2048)
      81             : {
      82           0 :   fScale_p = refFreq_p.getValue("GHz");  // scale is ratio of refFreq_p to 1GHz
      83           0 :   refFreq_p = Quantity( 1.0, "GHz");  // internal Ref Freq is now 1GHz
      84             :   // convert instantiation parameters to GHz*arcmin reference
      85           0 :   maximumRadius_p = maximumRadius_p * fScale_p;
      86           0 :   scale_p = 1.0/(C::arcmin * C::giga);
      87           0 : };
      88             : 
      89           0 : PBMath1D::~PBMath1D()
      90             : {
      91           0 : };
      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           0 : Int PBMath1D::support(const CoordinateSystem& cs){
     152           0 : Int directionIndex=cs.findCoordinate(Coordinate::DIRECTION);
     153           0 :  AlwaysAssert(directionIndex>=0, AipsError);
     154             :  DirectionCoordinate
     155           0 :    directionCoord=cs.directionCoordinate(directionIndex);
     156             :  
     157           0 :  Vector<String> dirunit=directionCoord.worldAxisUnits();
     158             : 
     159             :  Double freq;
     160             :  {
     161           0 :    Int spectralIndex=cs.findCoordinate(Coordinate::SPECTRAL);
     162           0 :    AlwaysAssert(spectralIndex>=0, AipsError);
     163             :    SpectralCoordinate
     164           0 :      spectralCoord=cs.spectralCoordinate(spectralIndex);
     165             : 
     166             :    
     167           0 :    Vector<String> units(1);
     168           0 :    units = "Hz";
     169           0 :    spectralCoord.setWorldAxisUnits(units);
     170             : 
     171           0 :    Vector<Double> spectralWorld(1);
     172           0 :    Vector<Double> spectralPixel(1);
     173           0 :    spectralPixel(0) = 0;
     174           0 :    spectralCoord.toWorld(spectralWorld, spectralPixel);  
     175           0 :    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           0 :   Double numpix=maximumRadius_p.getValue(dirunit(0))/fabs(directionCoord.increment()(0))*2.0*1.0e9/freq ;
     186             :   
     187             :  
     188           0 :   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           0 : 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           0 :   if (vp_p.nelements() == 0) {
     365           0 :     fillPBArray();
     366             :   }
     367           0 :   esvp_p = vp_p; 
     368           0 : };
     369             : 
     370             : ImageInterface<Complex>&  
     371           0 : 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           0 :   LogIO os(LogOrigin("PBMath1D", "apply"));
     383             :   // Check that in and out are comparable:
     384           0 :   if (in.shape() != out.shape()) {
     385           0 :     throw(AipsError("PBMath1D::apply(ImageInterface...) - in and out images have different shapes"));    
     386             :   } 
     387           0 :   CoordinateSystem coords=in.coordinates();
     388           0 :   if (!coords.near(out.coordinates()) ) {
     389           0 :     throw(AipsError("PBMath1D::apply(ImageInterface...) - in and out images have different coordinates"));    
     390             :   }
     391             : 
     392           0 :   Int directionIndex=coords.findCoordinate(Coordinate::DIRECTION);
     393           0 :   AlwaysAssert(directionIndex>=0, AipsError);
     394             :   DirectionCoordinate
     395           0 :     directionCoord=coords.directionCoordinate(directionIndex);
     396           0 :   Vector<String> units(2); units = "deg";                       
     397           0 :     directionCoord.setWorldAxisUnits(units);
     398             : 
     399             :   // convert to the EPOCH of these coords
     400           0 :   MDirection::Types t2 = (MDirection::Types) (pointDir.getRef().getType());
     401           0 :   MDirection pointDirE;
     402             : 
     403             : 
     404           0 :   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           0 :     pointDirE = pointDir;
     412             :   }
     413             : 
     414           0 :   Int stokesIndex=coords.findCoordinate(Coordinate::STOKES);
     415           0 :   AlwaysAssert(stokesIndex>=0, AipsError);
     416             :   StokesCoordinate
     417           0 :     stokesCoord=coords.stokesCoordinate(stokesIndex);
     418             :  
     419           0 :   Int spectralIndex=coords.findCoordinate(Coordinate::SPECTRAL);
     420           0 :   AlwaysAssert(spectralIndex>=0, AipsError);
     421             :   SpectralCoordinate
     422           0 :     spectralCoord=coords.spectralCoordinate(spectralIndex);
     423             :  
     424           0 :   units.resize(1);
     425           0 :   units = "Hz";
     426           0 :   spectralCoord.setWorldAxisUnits(units);
     427             :  
     428           0 :   Int nchan=in.shape()(3);
     429             :     
     430           0 :   Vector<Double> pointingCenterWorld(2);
     431           0 :   Vector<Double> pointingCenterPixel(2);
     432           0 :   Vector<Double> directionPixel(2);
     433             : 
     434           0 :   pointingCenterWorld(0) = pointDirE.getAngle().getValue("deg")(0);
     435           0 :   pointingCenterWorld(1) = pointDirE.getAngle().getValue("deg")(1);
     436           0 :   directionCoord.toPixel(pointingCenterPixel, pointingCenterWorld);
     437           0 :   MDirection newpointDirE;
     438           0 :   Vector<Double> nonSquintedPointingPixel = pointingCenterPixel.copy();
     439             : 
     440           0 :   os << "pointingCenterWorld " << pointingCenterWorld << LogIO::DEBUGGING;
     441           0 :   os << "pointingCenterPixel " << pointingCenterPixel << LogIO::DEBUGGING;
     442             :   
     443             :   // Fill in a cache of the frequencies & squints
     444           0 :   Vector<Double> spectralWorld(1);
     445           0 :   Vector<Double> spectralPixel(1);
     446           0 :   Matrix<Double> xSquintPixCache(2, nchan);
     447           0 :   Matrix<Double> ySquintPixCache(2, nchan);
     448           0 :   Vector<Double> spectralCache(nchan);
     449             : 
     450             :   {
     451           0 :     for(Int chan=0;chan<nchan;chan++) {
     452           0 :       spectralPixel(0)=chan;
     453           0 :       if(!spectralCoord.toWorld(spectralWorld, spectralPixel)) {
     454           0 :         os  << "Cannot find frequency for this plane" << LogIO::EXCEPTION;
     455             :       }
     456           0 :       spectralCache(chan)=spectralWorld(0);
     457             : 
     458             :       
     459           0 :       if (doSquint == BeamSquint::RR || doSquint == BeamSquint::GOFIGURE) {
     460           0 :         squint_p.getPointingDirection (pointDirE,
     461             :                                        parAngle, 
     462           0 :                                        Quantity(spectralWorld(0),"Hz"),
     463             :                                        BeamSquint::RR, newpointDirE);
     464           0 :         pointingCenterWorld(0) = newpointDirE.getAngle().getValue("deg")(0);
     465           0 :         pointingCenterWorld(1) = newpointDirE.getAngle().getValue("deg")(1);
     466           0 :         directionCoord.toPixel(pointingCenterPixel, pointingCenterWorld);
     467           0 :         xSquintPixCache(0, chan) = pointingCenterPixel(0);
     468           0 :         ySquintPixCache(0, chan) = pointingCenterPixel(1);
     469             :       } else {
     470           0 :         xSquintPixCache(0, chan) =  nonSquintedPointingPixel(0);
     471           0 :         ySquintPixCache(0, chan) =  nonSquintedPointingPixel(1);
     472             :       }
     473           0 :       if (doSquint == BeamSquint::LL || doSquint == BeamSquint::GOFIGURE) {
     474           0 :         squint_p.getPointingDirection (pointDirE,
     475             :                                        parAngle, 
     476           0 :                                        Quantity(spectralWorld(0),"Hz"),
     477             :                                        BeamSquint::LL, newpointDirE);
     478           0 :         pointingCenterWorld(0) = newpointDirE.getAngle().getValue("deg")(0);
     479           0 :         pointingCenterWorld(1) = newpointDirE.getAngle().getValue("deg")(1);
     480           0 :         directionCoord.toPixel(pointingCenterPixel, pointingCenterWorld);
     481           0 :         xSquintPixCache(1, chan) = pointingCenterPixel(0);
     482           0 :         ySquintPixCache(1, chan) = pointingCenterPixel(1);
     483             :       } else {
     484           0 :         xSquintPixCache(1, chan) =  nonSquintedPointingPixel(0);
     485           0 :         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           0 :   IPosition ncs=in.shape();
     501           0 :   ncs(2) = 1; ncs(3) = 1;
     502           0 :   RO_LatticeIterator<Complex> li(in, LatticeStepper(in.shape(), ncs, IPosition(4,0,1,2,3) )  );
     503           0 :   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           0 :   Vector<Double> increment = directionCoord.increment();
     511           0 :   Int rrplane = -1;
     512           0 :   Int llplane = -1;
     513           0 :   stokesCoord.toPixel( rrplane, Stokes::RR );
     514           0 :   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           0 :   Int laststokes = -1;
     524           0 :   Int lastChan = -1;
     525             :   Int ichan;
     526             :   Int istokes;
     527             :   Int ix0, iy0;
     528             :   //Int indx;
     529           0 :   for(li.reset(),oli.reset();!li.atEnd();li++,oli++) {
     530             : 
     531           0 :     IPosition itsShape(li.matrixCursor().shape());
     532           0 :     IPosition loc(li.position());
     533             : 
     534           0 :     ichan = loc(3);
     535           0 :     istokes = loc(2);
     536           0 :     iy0 = loc(1);
     537           0 :     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           0 :     if ((doSquint == BeamSquint::RR) ||
     545           0 :         ((doSquint == BeamSquint::GOFIGURE) && (istokes == rrplane)) ) {
     546           0 :       xPixel = xSquintPixCache(0, ichan);
     547           0 :       yPixel = ySquintPixCache(0, ichan);
     548           0 :     } else if ((doSquint == BeamSquint::LL) ||
     549           0 :                ((doSquint == BeamSquint::GOFIGURE) && (istokes == llplane)) ) {
     550           0 :       xPixel = xSquintPixCache(1, ichan);
     551           0 :       yPixel = ySquintPixCache(1, ichan);
     552             :     } else {
     553           0 :       xPixel = nonSquintedPointingPixel(0);
     554           0 :       yPixel = nonSquintedPointingPixel(1);
     555             :     }
     556             : 
     557           0 :     if (istokes != laststokes) {
     558             :       //cerr << "Stokes = " << istokes << " pix = " << xPixel << ", " << yPixel << endl;
     559           0 :       laststokes = istokes;
     560             :     }
     561             : 
     562           0 :     Double factor = 60.0 * spectralCache(ichan)/1.0e+9 ;  // arcminutes * GHz
     563           0 :     Double rmax2 = square( maximumRadius_p.getValue("'") / factor );
     564           0 :     if (wideFit_p) {
     565             :       // fill vp with interpolated values for current frequency
     566           0 :       if (ichan!=lastChan) {
     567           0 :         nearestVPArray(spectralCache(ichan));
     568           0 :         lastChan=ichan;
     569             :       }
     570             :     }
     571             :                        
     572           0 :     Vector<Float> rx2(itsShape(0));
     573           0 :     Vector<Float> ry2(itsShape(1));
     574           0 :     for(Int ix=0;ix<itsShape(0);ix++) {
     575           0 :       rx2(ix) =  square( increment(0)*((Double)(ix+ix0) - xPixel) );
     576             :     }
     577           0 :     for(Int iy=0;iy<itsShape(1);iy++) {
     578           0 :       ry2(iy) =  square( increment(1)*((Double)(iy+iy0) - yPixel) );
     579             :     }
     580             :    
     581           0 :     const Matrix<Complex>& inmat = li.matrixCursor();
     582           0 :     Matrix<Complex>& outmat=oli.rwMatrixCursor();
     583             : 
     584             :     Bool incopy, outcopy, del;
     585           0 :     const Complex * inpoint = inmat.getStorage(incopy);
     586           0 :     Complex *outpoint =outmat.getStorage(outcopy);
     587           0 :     Float * rx2point = rx2.getStorage(del);
     588           0 :     Float * ry2point= ry2.getStorage(del);
     589           0 :     Complex* vppoint=vp_p.getStorage(del);
     590           0 :     Int nx=itsShape(0);
     591           0 :     Int ny=itsShape(1);
     592           0 :     Double inverseIncrementRadius=inverseIncrementRadius_p;
     593           0 : #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           0 :     outmat.putStorage(outpoint, outcopy);
     643           0 :     inmat.freeStorage(inpoint, incopy);
     644             :   }
     645             : 
     646           0 :   return out;
     647             : 
     648             : };
     649             : 
     650           0 :   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           0 :   Complex taper;
     655           0 :   for(Int ix=0;ix<nx;ix++) {
     656             :     
     657           0 :     Float r2 =  rx2[ix] +  ry2;
     658             :         
     659           0 :     if (r2 > rmax2){
     660           0 :       out[ix+iy*nx] = 0.0;
     661             :     } 
     662             :     else {
     663           0 :       r = sqrt(r2) * factor;
     664           0 :       indx = Int(r*inverseIncrementRadius);
     665           0 :       if (norm(vp[indx]) > 0.0) {
     666           0 :         if(ipower==2) {
     667           0 :           taper = vp[indx] * conj(vp[indx]);
     668             :         }
     669             :         else {
     670           0 :           taper = vp[indx];
     671             :         }
     672             :       } else {
     673           0 :         taper = 0.0;
     674             :       }
     675           0 :       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           0 :       if(!forward) {
     682           0 :         taper =  conj(taper);
     683             :       }
     684           0 :       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           0 :         out[ix+iy*nx]  = (in[ix+iy*nx]) * taper ;
     692             :       }
     693             :     }
     694             :   }
     695           0 : };
     696             : 
     697             : ImageInterface<Float>& 
     698           0 : 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           0 :   LogIO os(LogOrigin("PBMath1D", "apply"));
     706             :  
     707             :   //  cout << "PBMath1D::apply: image shape: " << in.shape() << endl;
     708             :   // Check that in and out are comparable:
     709           0 :   if (in.shape() != out.shape()) {
     710           0 :     throw(AipsError("PBMath1D::apply(ImageInterface...) - in and out images have different shapes"));
     711             :     
     712             :   } 
     713           0 :   CoordinateSystem coords=in.coordinates();
     714           0 :   if (!coords.near(out.coordinates())) {
     715           0 :     throw(AipsError("PBMath1D::apply(ImageInterface...) - in and out images have different coordinates"));
     716             :   }
     717             : 
     718           0 :   Int directionIndex=coords.findCoordinate(Coordinate::DIRECTION);
     719           0 :   AlwaysAssert(directionIndex>=0, AipsError);
     720             :   DirectionCoordinate
     721           0 :     directionCoord=coords.directionCoordinate(directionIndex);
     722           0 :   Vector<String> units(2); units = "deg";                       
     723           0 :     directionCoord.setWorldAxisUnits(units);
     724             : 
     725             :   // convert to the EPOCH of these coords
     726           0 :   MDirection::Types t2 = (MDirection::Types) (pointDir.getRef().getType());
     727           0 :   MDirection pointDirE(pointDir);
     728             : 
     729           0 :   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           0 :     pointDirE = pointDir;
     737             :   }
     738           0 :   Int stokesIndex=coords.findCoordinate(Coordinate::STOKES);
     739           0 :   AlwaysAssert(stokesIndex>=0, AipsError);
     740             :   StokesCoordinate
     741           0 :     stokesCoord=coords.stokesCoordinate(stokesIndex);
     742             :  
     743           0 :   Int spectralIndex=coords.findCoordinate(Coordinate::SPECTRAL);
     744           0 :   AlwaysAssert(spectralIndex>=0, AipsError);
     745             :   SpectralCoordinate
     746           0 :     spectralCoord=coords.spectralCoordinate(spectralIndex);
     747             :  
     748           0 :   units.resize(1);
     749           0 :   units = "Hz";
     750           0 :   spectralCoord.setWorldAxisUnits(units);
     751             :  
     752           0 :   Int nchan=in.shape()(3);
     753             :     
     754           0 :   Vector<Double> pointingCenterWorld(2);
     755           0 :   Vector<Double> pointingCenterPixel(2);
     756           0 :   Vector<Double> directionPixel(2);
     757             : 
     758           0 :   pointingCenterWorld(0) = pointDirE.getAngle().getValue("deg")(0);
     759           0 :   pointingCenterWorld(1) = pointDirE.getAngle().getValue("deg")(1);
     760           0 :   directionCoord.toPixel(pointingCenterPixel, pointingCenterWorld);
     761           0 :   MDirection newpointDirE;
     762           0 :   Vector<Double> nonSquintedPointingPixel = pointingCenterPixel.copy();
     763             : 
     764           0 :   os << "pointingCenterWorld " << pointingCenterWorld << LogIO::DEBUGGING;
     765           0 :   os << "pointingCenterPixel " << pointingCenterPixel << LogIO::DEBUGGING;
     766             : 
     767             :   // Fill in a cache of the frequencies & squints
     768           0 :   Vector<Double> spectralWorld(1);
     769           0 :   Vector<Double> spectralPixel(1);
     770           0 :   Matrix<Double> xSquintPixCache(2, nchan);  // kludge: prevent errors when nchan = 1
     771           0 :   Matrix<Double> ySquintPixCache(2, nchan);
     772           0 :   Vector<Double> spectralCache(nchan);
     773             : 
     774             :   {
     775           0 :     for(Int chan=0;chan<nchan;chan++) {
     776           0 :       spectralPixel(0)=chan;
     777           0 :       if(!spectralCoord.toWorld(spectralWorld, spectralPixel)) {
     778           0 :         os  << "Cannot find frequency for this plane" << LogIO::EXCEPTION;
     779             :       }
     780           0 :       spectralCache(chan)=spectralWorld(0);
     781             : 
     782             :       
     783           0 :       if (doSquint == BeamSquint::RR || doSquint == BeamSquint::GOFIGURE) {
     784           0 :         squint_p.getPointingDirection (pointDirE,
     785             :                                        parAngle, 
     786           0 :                                        Quantity(spectralWorld(0),"Hz"),
     787             :                                        BeamSquint::RR, newpointDirE);
     788           0 :         pointingCenterWorld(0) = newpointDirE.getAngle().getValue("deg")(0);
     789           0 :         pointingCenterWorld(1) = newpointDirE.getAngle().getValue("deg")(1);
     790           0 :         directionCoord.toPixel(pointingCenterPixel, pointingCenterWorld);
     791           0 :         xSquintPixCache(0, chan) = pointingCenterPixel(0);
     792           0 :         ySquintPixCache(0, chan) = pointingCenterPixel(1);
     793             :       } else {
     794           0 :         xSquintPixCache(0, chan) =  nonSquintedPointingPixel(0);
     795           0 :         ySquintPixCache(0, chan) =  nonSquintedPointingPixel(1);
     796             :       }
     797           0 :       if (doSquint == BeamSquint::LL || doSquint == BeamSquint::GOFIGURE) {
     798           0 :         squint_p.getPointingDirection (pointDirE,
     799             :                                        parAngle, 
     800           0 :                                        Quantity(spectralWorld(0),"Hz"),
     801             :                                        BeamSquint::LL, newpointDirE);
     802           0 :         pointingCenterWorld(0) = newpointDirE.getAngle().getValue("deg")(0);
     803           0 :         pointingCenterWorld(1) = newpointDirE.getAngle().getValue("deg")(1);
     804           0 :         directionCoord.toPixel(pointingCenterPixel, pointingCenterWorld);
     805           0 :         xSquintPixCache(1, chan) = pointingCenterPixel(0);
     806           0 :         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           0 :   IPosition ncs = in.niceCursorShape();
     817             :   // IPosition ncs=in.shape();
     818           0 :   ncs(2) = 1; ncs(3) = 1;
     819           0 :   ncs(2) = 1; ncs(3) = 1;
     820           0 :   RO_LatticeIterator<Float> li(in, LatticeStepper(in.shape(), ncs, IPosition(4,0,1,2,3) )  );
     821           0 :   LatticeIterator<Float> oli(out, LatticeStepper(in.shape(), ncs, IPosition(4,0,1,2,3)) );
     822             : 
     823             :   //Vector<Float> taper(vp_p.nelements());
     824           0 :   Float taper=0.0;
     825           0 :   Float r2=0.0;
     826           0 :   Float r=0.0;
     827             : 
     828           0 :   Vector<Double> increment = directionCoord.increment();
     829           0 :   Int rrplane = -1;
     830           0 :   Int llplane = -1;
     831           0 :   stokesCoord.toPixel( rrplane, Stokes::RR );
     832           0 :   stokesCoord.toPixel( llplane, Stokes::LL );
     833             : 
     834             :   Double xPixel;  Double yPixel;
     835             : 
     836           0 :   Int laststokes = -1;
     837           0 :   Int lastChan   = -1;
     838             :   Int ichan;
     839             :   Int istokes;
     840             :   Int ix0, iy0;
     841             :   Int indx;
     842             : 
     843           0 :   for(li.reset(),oli.reset();!li.atEnd();li++,oli++) {
     844             : 
     845           0 :     IPosition itsShape(li.matrixCursor().shape());
     846           0 :     IPosition loc(li.position());
     847             : 
     848           0 :     ichan = loc(3);
     849           0 :     istokes = loc(2);
     850           0 :     iy0 = loc(1);
     851           0 :     ix0 = loc(0);
     852             : 
     853             :     // determine the pointing: RR, LL, or Center?
     854           0 :     if ((doSquint == BeamSquint::RR) ||
     855           0 :         ((doSquint == BeamSquint::GOFIGURE) && (istokes == rrplane)) ) {
     856           0 :       xPixel = xSquintPixCache(0, ichan);
     857           0 :       yPixel = ySquintPixCache(0, ichan);
     858           0 :     } else if ((doSquint == BeamSquint::LL) ||
     859           0 :                ((doSquint == BeamSquint::GOFIGURE) && (istokes == llplane ))) {
     860           0 :       xPixel = xSquintPixCache(1, ichan);
     861           0 :       yPixel = ySquintPixCache(1, ichan);
     862             :     } else {
     863           0 :       xPixel = nonSquintedPointingPixel(0);
     864           0 :       yPixel = nonSquintedPointingPixel(1);
     865             :     }
     866             :   
     867           0 :     if (istokes != laststokes) {
     868             :       //      cout << "Stokes = " << istokes << " pix = " << xPixel << ", " << yPixel << endl;
     869           0 :       laststokes = istokes;
     870             :     }
     871             : 
     872           0 :     Double factor = 60.0 * spectralCache(ichan)/1.0e+9 ;  // arcminutes * GHz
     873           0 :     Double rmax2 = square( maximumRadius_p.getValue("'") / factor );
     874           0 :     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           0 :     Vector<Float> rx2(itsShape(0));
     894           0 :     Vector<Float> ry2(itsShape(1));
     895           0 :     for(Int ix=0;ix<itsShape(0);ix++) {
     896           0 :       rx2(ix) =  square( increment(0)*((Double)(ix+ix0) - xPixel) );
     897             :     }
     898           0 :     for(Int iy=0;iy<itsShape(1);iy++) {
     899           0 :       ry2(iy) =  square( increment(1)*((Double)(iy+iy0) - yPixel) );
     900             :     }
     901             : 
     902           0 :     for(Int iy=0;iy<itsShape(1);iy++) {
     903           0 :       for(Int ix=0;ix<itsShape(0);ix++) {
     904             : 
     905           0 :         r2 =  rx2(ix) +  ry2(iy);
     906           0 :         if (r2 > rmax2) {
     907           0 :           oli.rwMatrixCursor()(ix, iy) = 0.0;
     908             :         } else {
     909           0 :           r = sqrt(r2) * factor;
     910           0 :           indx = Int(r*inverseIncrementRadius_p);
     911           0 :           if (norm(vp_p(indx)) > 0.0) {
     912           0 :             taper = real(vp_p(indx)) * real(vp_p(indx))+ imag(vp_p(indx)) * imag(vp_p(indx));
     913           0 :             if(ipower==4)
     914           0 :               taper *= taper;
     915             :           }
     916             :           //else {
     917             :           //  taper = 0.0;
     918             :           //}
     919           0 :           oli.rwMatrixCursor()(ix, iy) = li.matrixCursor()(ix,iy) * taper;
     920             :         }
     921             :       }
     922             :     }
     923             :   }
     924           0 :   return out;
     925             : 
     926             : };
     927             : 
     928             : // Behavior:  doSquint == RR or LL don't make sense here
     929             : //
     930             : //
     931             :  
     932             : SkyComponent& 
     933           0 : 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           0 :   MDirection::Types t1 = (MDirection::Types) (in.shape().refDirection().getRef().getType());
     955           0 :   MDirection::Types t2 = (MDirection::Types) (pointDir.getRef().getType());
     956             : 
     957           0 :   MDirection pointDirE;
     958           0 :   if ( t1 != t2) {
     959           0 :     MDirection::Convert converter;
     960           0 :     converter.setOut( t1 );
     961           0 :     pointDirE = converter(pointDir);
     962             :   } else {
     963           0 :     pointDirE = pointDir;
     964             :   }
     965             : 
     966           0 :   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           0 :   if (doSquint == BeamSquint::GOFIGURE) {
     970           0 :     if (in.flux().pol() != ComponentType::CIRCULAR) {
     971           0 :       in.flux().convertPol(ComponentType::CIRCULAR);
     972             :     }
     973             :   }
     974             : 
     975           0 :   Vector<DComplex> compFluxIn = in.flux().value();
     976           0 :   Vector<DComplex> compFlux = out.flux().value();
     977           0 :   compFlux = compFluxIn.copy();
     978             : 
     979             :   // Find the direction of the component
     980           0 :   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           0 :   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           0 :   MDirection newpointDirE;
    1001           0 :   for (Int pol=0;pol<4;pol++) {
    1002           0 :     Stokes::StokesTypes stokes=Stokes::type(pol+5);
    1003             : 
    1004           0 :     if (stokes == Stokes::RR &&  doSquint == BeamSquint::GOFIGURE) {
    1005           0 :       squint_p.getPointingDirection (pointDirE, parAngle, frequency, BeamSquint::RR,
    1006             :                                      newpointDirE );
    1007           0 :     } else if (stokes == Stokes::LL && doSquint == BeamSquint::GOFIGURE) {
    1008           0 :       squint_p.getPointingDirection (pointDirE, parAngle, frequency, BeamSquint::LL,
    1009             :                                      newpointDirE );
    1010             :     } else {
    1011           0 :       newpointDirE = pointDirE;
    1012             :     }
    1013             : 
    1014           0 :     MVDirection mvd1( compDir.getAngle() );
    1015           0 :     MVDirection mvd2( newpointDirE.getAngle() );
    1016           0 :     Quantity sep =  mvd1.separation(mvd2, "'"); 
    1017           0 :     double r = sep.getValue("'") * frequency.getValue("Hz") / 1.0e+9;  // arcminutes * GHz 
    1018           0 :     Complex taper;
    1019           0 :     Int ir = Int(r*inverseIncrementRadius_p);
    1020             :     //vp_p is interpolated wvp_p from above 
    1021           0 :     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           0 :     if (r > maximumRadius_p.getValue("'")) {
    1034           0 :       compFlux(pol) = 0.0;
    1035             :     } else {
    1036           0 :       if (norm(vpVal) > 0.0) {
    1037           0 :         if(iPower>1){
    1038           0 :           taper=vpVal*conj(vpVal);
    1039           0 :           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           0 :       if (conjugate) {
    1050           0 :         taper =  conj(taper);
    1051             :       }
    1052           0 :       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           0 :         compFlux(pol) *= taper;
    1060             :       }
    1061             :     }    
    1062             :   }
    1063             : 
    1064             :   // Set the output component fluxes 
    1065           0 :   out = in.copy();
    1066           0 :   out.flux().setValue(compFlux);
    1067             : 
    1068           0 :   return out;
    1069             : 
    1070             : };
    1071             : 
    1072           0 : void PBMath1D::summary(Int nValues)
    1073             : {
    1074           0 :   String  name;
    1075           0 :   namePBClass(name);
    1076           0 :   LogIO os(LogOrigin("PBMath1D", "summary"));
    1077           0 :   os << "Using " << name << " PB Class " <<  LogIO::POST;
    1078           0 :   PBMathInterface::summary(nValues);
    1079             : 
    1080           0 :   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           0 :      << maximumRadius_p.getValue("'") << " arcmin " <<  LogIO::POST; 
    1092             : 
    1093           0 : };
    1094             : 
    1095             : 
    1096           0 : Bool PBMath1D::ok()
    1097             : {
    1098           0 :   if (vp_p.nelements() == 0) {
    1099           0 :     return false;
    1100           0 :   } else if (maximumRadius_p.getValue() <= 0.0) {
    1101           0 :     return false;
    1102           0 :   } else if (refFreq_p.getValue() <= 0.0) {
    1103           0 :     return false;
    1104           0 :   } else if (inverseIncrementRadius_p <= 0.0) {
    1105           0 :     return false;
    1106             :   } else {
    1107           0 :     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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