| [2720] | 1 | //
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 | 2 | // C++ Implementation: STApplyCal
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 | 3 | //
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 | 4 | // Description:
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 | 5 | //
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 | 6 | //
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 | 7 | // Author: Takeshi Nakazato <takeshi.nakazato@nao.ac.jp> (C) 2012
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 | 8 | //
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 | 9 | // Copyright: See COPYING file that comes with this distribution
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 | 10 | //
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 | 11 | //
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 | 12 | 
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 | 13 | #include <casa/Arrays/Array.h>
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 | 14 | #include <casa/Arrays/Vector.h>
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 | 15 | #include <casa/Arrays/Matrix.h>
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 | 16 | #include <casa/Arrays/ArrayIO.h>
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 | 17 | #include <casa/Arrays/ArrayMath.h>
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 | 18 | #include <casa/BasicSL/String.h>
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 | 19 | #include <casa/Logging/LogIO.h>
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 | 20 | #include <casa/Exceptions/Error.h>
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 | 21 | #include <casa/Utilities/CountedPtr.h>
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 | 22 | #include <casa/Utilities/Sort.h>
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 | 23 | #include <tables/Tables/Table.h>
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 | 24 | 
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 | 25 | #include "Scantable.h"
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 | 26 | #include "STApplyCal.h"
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 | 27 | #include "STApplyTable.h"
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 | 28 | #include "STCalTsysTable.h"
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 | 29 | #include "STCalSkyTable.h"
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 | 30 | #include "STCalEnum.h"
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 | 31 | #include "STIdxIter.h"
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 | 32 | #include "Calibrator.h"
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 | 33 | #include "PSAlmaCalibrator.h"
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 | 34 | #include "NearestInterpolator1D.h"
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 | 35 | #include <atnf/PKSIO/SrcType.h>
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 | 36 | 
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 | 37 | 
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 | 38 | using namespace casa;
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 | 39 | using namespace std;
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 | 40 | 
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 | 41 | namespace asap {
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 | 42 | 
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 | 43 | STApplyCal::STApplyCal()
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 | 44 | {
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 | 45 |   init();
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 | 46 | }
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 | 47 | 
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 | 48 | STApplyCal::STApplyCal(CountedPtr<Scantable> target)
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 | 49 |   : target_(target)
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 | 50 | {
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 | 51 |   init();
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 | 52 | }
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 | 53 | 
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 | 54 | STApplyCal::~STApplyCal()
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 | 55 | {
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 | 56 | }
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 | 57 | 
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 | 58 | void STApplyCal::init()
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 | 59 | {
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 | 60 |   caltype_ = STCalEnum::NoType;
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 | 61 |   doTsys_ = False;
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 | 62 |   interp_.resize((int)STCalEnum::NumAxis);
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 | 63 | }
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 | 64 | 
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 | 65 | void STApplyCal::setTarget(CountedPtr<Scantable> target)
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 | 66 | {
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 | 67 |   target_ = target;
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 | 68 | }
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 | 69 | 
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 | 70 | void STApplyCal::setTarget(const String &name)
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 | 71 | {
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 | 72 |   // always create PlainTable
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 | 73 |   target_ = new Scantable(name, Table::Plain);
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 | 74 | }
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 | 75 | 
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 | 76 | void STApplyCal::push(STCalSkyTable *table)
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 | 77 | {
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 | 78 |   skytable_.push_back(table);
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 | 79 |   STCalEnum::CalType caltype = STApplyTable::getCalType(table);
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 | 80 |   os_ << "caltype=" <<  caltype << LogIO::POST;
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 | 81 |   if (caltype_ == STCalEnum::NoType || 
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 | 82 |       caltype_ == STCalEnum::DefaultType ||
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 | 83 |       caltype_ == STCalEnum::CalTsys) {
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 | 84 |     caltype_ = caltype;
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 | 85 |   }
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 | 86 |   os_ << "caltype_=" << caltype_ << LogIO::POST;
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 | 87 | }
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 | 88 | 
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 | 89 | void STApplyCal::push(STCalTsysTable *table)
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 | 90 | {
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 | 91 |   tsystable_.push_back(table);
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 | 92 |   doTsys_ = True;
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 | 93 | }
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 | 94 | 
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 | 95 | void STApplyCal::setInterpolation(STCalEnum::InterpolationAxis axis, STCalEnum::InterpolationType itype, Int order)
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 | 96 | {
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 | 97 |   interp_[(int)axis] = itype;
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 | 98 |   order_ = order;
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 | 99 | }
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 | 100 | 
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 | 101 | void STApplyCal::setTsysTransfer(uInt from, Vector<uInt> to)
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 | 102 | {
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 | 103 |   os_ << "from=" << from << ", to=" << to << LogIO::POST;
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 | 104 |   map<uInt, Vector<uInt> >::iterator i = spwmap_.find(from);
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 | 105 |   if (i == spwmap_.end()) {
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 | 106 |     spwmap_.insert(pair<uInt, Vector<uInt> >(from, to));
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 | 107 |   }
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 | 108 |   else {
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 | 109 |     Vector<uInt> toNew = i->second;
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 | 110 |     spwmap_.erase(i);
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 | 111 |     uInt k = toNew.nelements();
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 | 112 |     toNew.resize(k+to.nelements(), True);
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 | 113 |     for (uInt i = 0; i < to.nelements(); i++)
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 | 114 |       toNew[i+k] = to[i];
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 | 115 |     spwmap_.insert(pair<uInt, Vector<uInt> >(from, toNew));
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 | 116 |   }
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 | 117 | }
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 | 118 | 
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 | 119 | void STApplyCal::apply(Bool insitu)
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 | 120 | {
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 | 121 |   // calibrator
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 | 122 |   if (caltype_ == STCalEnum::CalPSAlma)
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 | 123 |     calibrator_ = new PSAlmaCalibrator();
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 | 124 | 
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 | 125 |   // interpolator
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 | 126 |   interpolatorS_ = new NearestInterpolator1D();
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 | 127 |   interpolatorT_ = new NearestInterpolator1D();
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 | 128 |   interpolatorF_ = new NearestInterpolator1D();
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 | 129 | 
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 | 130 |   // select data
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 | 131 |   sel_.reset();
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 | 132 |   if (caltype_ == STCalEnum::CalPSAlma ||
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 | 133 |       caltype_ == STCalEnum::CalPS) {
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 | 134 |     sel_.setTypes(vector<int>(1,(int)SrcType::PSON));
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 | 135 |   }
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 | 136 |   target_->setSelection(sel_);
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 | 137 | 
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 | 138 |   os_ << "sel_.print()=" << sel_.print() << LogIO::POST;
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 | 139 | 
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 | 140 |   // working data
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 | 141 |   if (insitu)
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 | 142 |     work_ = target_;
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 | 143 |   else
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 | 144 |     work_ = new Scantable(*target_, false);
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 | 145 | 
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 | 146 |   os_ << "work_->nrow()=" << work_->nrow() << LogIO::POST;
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 | 147 | 
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 | 148 |   // list of apply tables for sky calibration
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 | 149 |   Vector<uInt> skycalList;
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 | 150 |   uInt numSkyCal = 0;
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 | 151 |   uInt nrowSky = 0;
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 | 152 |   // list of apply tables for Tsys calibration
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 | 153 | //   Vector<uInt> tsyscalList;
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 | 154 | 
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 | 155 |   for (uInt i = 0 ; i < skytable_.size(); i++) {
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 | 156 |     STCalEnum::CalType caltype = STApplyTable::getCalType(skytable_[i]);
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 | 157 |     if (caltype == caltype_) {
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 | 158 |       skycalList.resize(numSkyCal+1, True);
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 | 159 |       skycalList[numSkyCal] = i;
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 | 160 |       numSkyCal++;
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 | 161 |       nrowSky += skytable_[i]->nrow();
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 | 162 |     }
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 | 163 |   }
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 | 164 | 
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 | 165 | 
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 | 166 |   vector<string> cols( 3 ) ;
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 | 167 |   cols[0] = "BEAMNO" ;
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 | 168 |   cols[1] = "POLNO" ;
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 | 169 |   cols[2] = "IFNO" ;
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 | 170 |   CountedPtr<STIdxIter> iter = new STIdxIterAcc(work_, cols) ;
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 | 171 |   while (!iter->pastEnd()) {
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 | 172 |     Vector<uInt> ids = iter->current();
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 | 173 |     Vector<uInt> rows = iter->getRows(SHARE);
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 | 174 |     os_ << "ids=" << ids << LogIO::POST;
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 | 175 |     if (rows.nelements() > 0)
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 | 176 |       doapply(ids[0], ids[2], ids[1], rows, skycalList);
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 | 177 |     iter->next();
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 | 178 |   }
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 | 179 | 
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 | 180 |   target_->unsetSelection();
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 | 181 | }
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 | 182 | 
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 | 183 | void STApplyCal::doapply(uInt beamno, uInt ifno, uInt polno, 
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 | 184 |                          Vector<uInt> &rows,
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 | 185 |                          Vector<uInt> &skylist)
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 | 186 | {
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 | 187 |   os_ << "skylist=" << skylist << LogIO::POST;
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 | 188 |   os_ << "rows=" << rows << LogIO::POST;
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 | 189 |   Bool doTsys = doTsys_;
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 | 190 | 
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 | 191 |   //STSelector sel = sel_;
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 | 192 |   STSelector sel;
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 | 193 |   vector<int> id(1);
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 | 194 |   id[0] = beamno;
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 | 195 |   sel.setBeams(id);
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 | 196 |   id[0] = ifno;
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 | 197 |   sel.setIFs(id);
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 | 198 |   id[0] = polno;
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 | 199 |   sel.setPolarizations(id);  
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 | 200 |   os_ << "sel=" << sel.print() << LogIO::POST;
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 | 201 | 
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 | 202 |   // apply selection to apply tables
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 | 203 |   uInt nrowSky = 0;
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 | 204 |   uInt nrowTsys = 0;
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 | 205 |   for (uInt i = 0; i < skylist.nelements(); i++) {
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 | 206 |     skytable_[skylist[i]]->setSelection(sel);
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 | 207 |     nrowSky += skytable_[skylist[i]]->nrow();
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 | 208 |     os_ << "nrowSky=" << nrowSky << LogIO::POST;
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 | 209 |   }
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 | 210 |   uInt nchanTsys = 0;
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 | 211 |   Vector<Double> ftsys;
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 | 212 |   uInt tsysifno = getIFForTsys(ifno);
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 | 213 |   os_ << "tsysifno=" << tsysifno << LogIO::POST;
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 | 214 |   if (tsystable_.size() == 0) {
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 | 215 |     os_.origin(LogOrigin("STApplyTable", "doapply", WHERE));
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 | 216 |     os_ << "No Tsys tables are given. Skip Tsys calibratoin." << LogIO::POST;
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 | 217 |     doTsys = False;
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 | 218 |   }
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 | 219 |   else if (tsysifno == (uInt)-1) {
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 | 220 |     os_.origin(LogOrigin("STApplyTable", "doapply", WHERE));
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 | 221 |     os_ << "No corresponding Tsys for IFNO " << ifno << ". Skip Tsys calibration" << LogIO::POST;
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 | 222 |     doTsys = False;
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 | 223 |   }
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 | 224 |   else {
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 | 225 |     nchanTsys = tsystable_[0]->nchan(tsysifno);
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 | 226 |     ftsys = tsystable_[0]->getBaseFrequency(0);
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 | 227 |     interpolatorF_->setX(ftsys.data(), nchanTsys);
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 | 228 |     os_ << "nchanTsys=" << nchanTsys << LogIO::POST;
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 | 229 |     id[0] = (int)tsysifno;
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 | 230 |     sel.setIFs(id);
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 | 231 |     for (uInt i = 0; i < tsystable_.size() ; i++) {
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 | 232 |       tsystable_[i]->setSelection(sel);
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 | 233 |       nrowTsys += tsystable_[i]->nrow();
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 | 234 |       os_ << "nrowTsys=" << nrowTsys << LogIO::POST;
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 | 235 |     }
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 | 236 |   }
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 | 237 | 
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 | 238 |   uInt nchanSp = skytable_[skylist[0]]->nchan(ifno);
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 | 239 |   os_ << "nchanSp = " << nchanSp << LogIO::POST;
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 | 240 |   Vector<Double> timeSky(nrowSky);
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 | 241 |   Matrix<Float> spoff(nchanSp, nrowSky);
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 | 242 |   Vector<Float> iOff(nchanSp);
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 | 243 |   nrowSky = 0;
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 | 244 |   os_ << "spoff.shape()=" << spoff.shape() << LogIO::POST;
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 | 245 |   for (uInt i = 0 ; i < skylist.nelements(); i++) {
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 | 246 |     STCalSkyTable *p = skytable_[skylist[i]];
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 | 247 |     os_ << "table " << i << ": nrow=" << p->nrow() << LogIO::POST;
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 | 248 |     Vector<Double> t = p->getTime();
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 | 249 |     Matrix<Float> sp = p->getSpectra();
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 | 250 |     os_ << "sp.shape()=" << sp.shape() << LogIO::POST;
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 | 251 |     os_ << "t.nelements()=" << t.nelements() << LogIO::POST;
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 | 252 |     for (uInt j = 0; j < t.nelements(); j++) {
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 | 253 |       timeSky[nrowSky] = t[j];
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 | 254 |       os_ << "timeSky[" << nrowSky << "]-timeSky[0]=" << timeSky[nrowSky] - timeSky[0] << LogIO::POST;
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 | 255 |       spoff.column(nrowSky) = sp.column(j);
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 | 256 |       nrowSky++;
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 | 257 |     }
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 | 258 |   }
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 | 259 |   os_ << "timeSky-timeSky[0]=" << timeSky-timeSky[0] << LogIO::POST;
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 | 260 | 
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 | 261 |   Vector<uInt> skyIdx = timeSort(timeSky);
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 | 262 |   os_ << "skyIdx = " << skyIdx << LogIO::POST;
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 | 263 | 
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 | 264 |   double *xa = new double[skyIdx.nelements()];
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 | 265 |   float *ya = new float[skyIdx.nelements()];
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 | 266 |   IPosition ipos(1, skyIdx.nelements());
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 | 267 |   Vector<double> timeSkySorted(ipos, xa, TAKE_OVER);
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 | 268 |   Vector<Float> tmpOff(ipos, ya, TAKE_OVER);
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 | 269 |   for (uInt i = 0 ; i < skyIdx.nelements(); i++) {
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 | 270 |     timeSkySorted[i] = (double)timeSky[skyIdx[i]];
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 | 271 |     os_ << "timeSkySorted[" << i << "]-timeSkySorted[0]=" << timeSkySorted[i] - timeSkySorted[0] << LogIO::POST;
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 | 272 |   }
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 | 273 |   os_ << "timeSkySorted-timeSkySorted[0]=" << timeSkySorted-timeSkySorted[0] << LogIO::POST;
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 | 274 | 
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 | 275 |   interpolatorS_->setX(xa, skyIdx.nelements());
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 | 276 | 
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 | 277 |   os_ << "doTsys = " << doTsys << LogIO::POST;
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 | 278 |   Vector<uInt> tsysIdx;
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 | 279 |   Vector<Double> timeTsys(nrowTsys);
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 | 280 |   Matrix<Float> tsys;
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 | 281 |   Vector<double> timeTsysSorted;
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 | 282 |   Vector<Float> tmpTsys;
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 | 283 |   if (doTsys) {
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 | 284 |     os_ << "doTsys" << LogIO::POST;
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 | 285 |     timeTsys.resize(nrowTsys);
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 | 286 |     tsys.resize(nchanTsys, nrowTsys);
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 | 287 |     nrowTsys = 0;
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 | 288 |     for (uInt i = 0 ; i < tsystable_.size(); i++) {
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 | 289 |       STCalTsysTable *p = tsystable_[i];
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 | 290 |       os_ << "p->nrow()=" << p->nrow() << LogIO::POST;
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 | 291 |       Vector<Double> t = p->getTime();
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 | 292 |       os_ << "t=" << t << LogIO::POST;
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 | 293 |       Matrix<Float> ts = p->getTsys();
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 | 294 |       for (uInt j = 0; j < t.nelements(); j++) {
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 | 295 |         timeTsys[nrowTsys] = t[j];
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 | 296 |         tsys.column(nrowTsys) = ts.column(j);
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 | 297 |         nrowTsys++;
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 | 298 |       }
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 | 299 |     }
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 | 300 |     tsysIdx = timeSort(timeTsys);
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 | 301 |     os_ << "tsysIdx = " << tsysIdx << LogIO::POST;
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 | 302 | 
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 | 303 |     double *xb = new double[tsysIdx.nelements()];
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 | 304 |     float *yb = new float[tsysIdx.nelements()];
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 | 305 |     IPosition ipos(1, tsysIdx.nelements());
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 | 306 |     timeTsysSorted.takeStorage(ipos, xb, TAKE_OVER);
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 | 307 |     tmpTsys.takeStorage(ipos, yb, TAKE_OVER);
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 | 308 |     for (uInt i = 0 ; i < tsysIdx.nelements(); i++) {
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 | 309 |       timeTsysSorted[i] = (double)timeTsys[tsysIdx[i]];
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 | 310 |       os_ << "timeTsysSorted[" << i << "]-timeTsysSorted[0]=" << timeTsysSorted[i] - timeTsysSorted[0] << LogIO::POST;
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 | 311 |     }
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 | 312 |     os_ << "timeTsysSorted=" << timeTsysSorted << LogIO::POST;
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 | 313 |     interpolatorT_->setX(xb, tsysIdx.nelements());
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 | 314 |   }
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 | 315 | 
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 | 316 |   Table tab = work_->table();
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 | 317 |   ArrayColumn<Float> spCol(tab, "SPECTRA");
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 | 318 |   ScalarColumn<Double> timeCol(tab, "TIME");
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 | 319 |   Vector<Float> on;
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 | 320 |   for (uInt i = 0; i < rows.nelements(); i++) {
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 | 321 |     os_ << "start row " << i << LogIO::POST;
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 | 322 |     uInt irow = rows[i];
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 | 323 | 
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 | 324 |     // target spectral data
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 | 325 |     on = spCol(irow);
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 | 326 |     calibrator_->setSource(on);
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 | 327 | 
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 | 328 |     // interpolation
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 | 329 |     double t0 = (double)timeCol(irow);
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 | 330 |     for (uInt ichan = 0; ichan < nchanSp; ichan++) {
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 | 331 |       Vector<Float> spOffSlice = spoff.row(ichan);
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 | 332 |       //os_ << "spOffSlice = " << spOffSlice << LogIO::POST;
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 | 333 |       for (uInt j = 0; j < skyIdx.nelements(); j++) {
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 | 334 |         tmpOff[j] = (float)spOffSlice[skyIdx[j]];
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 | 335 |       }
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 | 336 |       interpolatorS_->setY(ya, skyIdx.nelements());
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 | 337 |       iOff[ichan] = interpolatorS_->interpolate(t0);
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 | 338 |     }
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 | 339 |     //os_ << "iOff=" << iOff << LogIO::POST;
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 | 340 |     calibrator_->setReference(iOff);
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 | 341 |     
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 | 342 |     Float *Y = new Float[nchanSp];
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 | 343 |     Vector<Float> iTsys(IPosition(1,nchanSp), Y, TAKE_OVER);
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 | 344 |     if (doTsys) {
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 | 345 |       // Tsys correction
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 | 346 |       float *yt = new float[nchanTsys];
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 | 347 |       Vector<Float> iTsysT(IPosition(1,nchanTsys), yt, TAKE_OVER);
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 | 348 |       float *yb = tmpTsys.data();
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 | 349 |       for (uInt ichan = 0; ichan < nchanTsys; ichan++) {
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 | 350 |         Vector<Float> tsysSlice = tsys.row(ichan);
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 | 351 |         for (uInt j = 0; j < tsysIdx.nelements(); j++) {
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 | 352 |           tmpTsys[j] = (float)tsysSlice[tsysIdx[j]];
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 | 353 |         }
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 | 354 |         interpolatorT_->setY(yb, tsysIdx.nelements());
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 | 355 |         iTsysT[ichan] = interpolatorT_->interpolate(t0);
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 | 356 |       }
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 | 357 |       os_ << "iTsysT=" << iTsysT << LogIO::POST;
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 | 358 |       if (nchanSp == 1) {
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 | 359 |         // take average
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 | 360 |         iTsys[0] = mean(iTsysT);
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 | 361 |       }
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 | 362 |       else {
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 | 363 |         // interpolation on frequency axis
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 | 364 |         os_ << "getBaseFrequency for target" << LogIO::POST;
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 | 365 |         Vector<Double> fsp = getBaseFrequency(rows[i]);
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 | 366 |         os_ << "fsp = " << fsp << LogIO::POST;
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 | 367 |         interpolatorF_->setY(yt, nchanTsys);
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 | 368 |         for (uInt ichan = 0; ichan < nchanSp; ichan++) {
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 | 369 |           iTsys[ichan] = (Float)interpolatorF_->interpolate(fsp[ichan]);
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 | 370 |         }
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 | 371 |       }
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 | 372 |     }
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 | 373 |     else {
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 | 374 |       iTsys = 1.0;
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 | 375 |     } 
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 | 376 |     os_ << "iTsys=" << iTsys << LogIO::POST;
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 | 377 |     calibrator_->setScaler(iTsys);
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 | 378 |   
 | 
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 | 379 |     // do calibration
 | 
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 | 380 |     calibrator_->calibrate();
 | 
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 | 381 | 
 | 
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 | 382 |     // update table
 | 
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 | 383 |     os_ << "calibrated=" << calibrator_->getCalibrated() << LogIO::POST; 
 | 
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 | 384 |     spCol.put(irow, calibrator_->getCalibrated());
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 | 385 |     
 | 
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 | 386 |   }
 | 
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 | 387 |   
 | 
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 | 388 | 
 | 
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 | 389 |   // reset selection on apply tables
 | 
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 | 390 |   for (uInt i = 0; i < skylist.nelements(); i++) 
 | 
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 | 391 |     skytable_[i]->unsetSelection();
 | 
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 | 392 |   for (uInt i = 0; i < tsystable_.size(); i++)
 | 
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 | 393 |     tsystable_[i]->unsetSelection();
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 | 394 | 
 | 
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 | 395 | 
 | 
|---|
 | 396 |   // reset interpolator
 | 
|---|
 | 397 |   interpolatorS_->reset();
 | 
|---|
 | 398 |   interpolatorF_->reset();
 | 
|---|
 | 399 |   interpolatorT_->reset();
 | 
|---|
 | 400 | }
 | 
|---|
 | 401 | 
 | 
|---|
 | 402 | Vector<uInt> STApplyCal::timeSort(Vector<Double> &t)
 | 
|---|
 | 403 | {
 | 
|---|
 | 404 |   Sort sort;
 | 
|---|
 | 405 |   sort.sortKey(&t[0], TpDouble, 0, Sort::Ascending);
 | 
|---|
 | 406 |   Vector<uInt> idx;
 | 
|---|
 | 407 |   sort.sort(idx, t.nelements(), Sort::QuickSort|Sort::NoDuplicates);
 | 
|---|
 | 408 |   return idx;
 | 
|---|
 | 409 | }
 | 
|---|
 | 410 | 
 | 
|---|
 | 411 | uInt STApplyCal::getIFForTsys(uInt to)
 | 
|---|
 | 412 | {
 | 
|---|
 | 413 |   for (map<casa::uInt, Vector<uInt> >::iterator i = spwmap_.begin(); 
 | 
|---|
 | 414 |        i != spwmap_.end(); i++) {
 | 
|---|
 | 415 |     Vector<uInt> tolist = i->second;
 | 
|---|
 | 416 |     os_ << i->first << ": tolist=" << tolist << LogIO::POST;
 | 
|---|
 | 417 |     for (uInt j = 0; j < tolist.nelements(); j++) {
 | 
|---|
 | 418 |       if (tolist[j] == to)
 | 
|---|
 | 419 |         return i->first;
 | 
|---|
 | 420 |     }
 | 
|---|
 | 421 |   }
 | 
|---|
 | 422 |   return (uInt)-1;
 | 
|---|
 | 423 | }
 | 
|---|
 | 424 | 
 | 
|---|
 | 425 | void STApplyCal::save(const String &name)
 | 
|---|
 | 426 | {
 | 
|---|
 | 427 |   if (work_.null())
 | 
|---|
 | 428 |     return;
 | 
|---|
 | 429 | 
 | 
|---|
 | 430 |   work_->setSelection(sel_);
 | 
|---|
 | 431 |   work_->makePersistent(name);
 | 
|---|
 | 432 |   work_->unsetSelection();
 | 
|---|
 | 433 | }
 | 
|---|
 | 434 | 
 | 
|---|
 | 435 | Vector<Double> STApplyCal::getBaseFrequency(uInt whichrow)
 | 
|---|
 | 436 | {
 | 
|---|
 | 437 |   assert(whichrow <= (uInt)work_->nrow());
 | 
|---|
 | 438 |   ROTableColumn col(work_->table(), "IFNO");
 | 
|---|
 | 439 |   uInt ifno = col.asuInt(whichrow);
 | 
|---|
 | 440 |   col.attach(work_->table(), "FREQ_ID");
 | 
|---|
 | 441 |   uInt freqid = col.asuInt(whichrow);
 | 
|---|
 | 442 |   uInt nc = work_->nchan(ifno);
 | 
|---|
 | 443 |   STFrequencies ftab = work_->frequencies();
 | 
|---|
 | 444 |   Double rp, rf, inc;
 | 
|---|
 | 445 |   ftab.getEntry(rp, rf, inc, freqid);
 | 
|---|
 | 446 |   Vector<Double> r(nc);
 | 
|---|
 | 447 |   indgen(r, rf-rp*inc, inc);
 | 
|---|
 | 448 |   return r;
 | 
|---|
 | 449 | }
 | 
|---|
 | 450 | 
 | 
|---|
 | 451 | }
 | 
|---|