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#ifndef MEASURED_SED_H
#define MEASURED_SED_H
#include <map>
#include <schaapcommon/fitters/nlplfitter.h>
#include "measurement.h"
#include "spectralenergydistribution.h"
namespace wsclean {
class MeasuredSED : public SpectralEnergyDistribution {
private:
typedef std::map<long double, Measurement> FluxMap;
public:
typedef FluxMap::iterator iterator;
typedef FluxMap::const_iterator const_iterator;
typedef FluxMap::reverse_iterator reverse_iterator;
typedef FluxMap::const_reverse_iterator const_reverse_iterator;
typedef FluxMap::value_type value_type;
MeasuredSED() {}
MeasuredSED(long double fluxDensityJy, long double frequencyHz) {
AddMeasurement(fluxDensityJy, frequencyHz);
}
template <typename T>
MeasuredSED(const T* fluxDensityJy, long double frequencyHz) {
AddMeasurement(fluxDensityJy, frequencyHz);
}
MeasuredSED(long double fluxDensityJy, long double frequencyHz,
long double spectralIndex,
aocommon::PolarizationEnum polarization =
aocommon::Polarization::StokesI) {
AddMeasurement(fluxDensityJy, frequencyHz, spectralIndex, polarization);
}
MeasuredSED(long double fluxDensityAJy, long double frequencyAHz,
long double fluxDensityBJy, long double frequencyBHz) {
AddMeasurement(fluxDensityAJy, frequencyAHz);
AddMeasurement(fluxDensityBJy, frequencyBHz);
}
MeasuredSED(const MeasuredSED& source)
: _measurements(source._measurements) {}
virtual MeasuredSED* Clone() const { return new MeasuredSED(*this); }
void operator=(const MeasuredSED& source) {
_measurements = source._measurements;
}
void operator+=(const SpectralEnergyDistribution& rhs) {
for (iterator i = begin(); i != end(); ++i) {
double freq = i->first;
Measurement& m = i->second;
for (size_t p = 0; p != 4; ++p) {
m.SetFluxDensityFromIndex(p, m.FluxDensityFromIndex(p) +
rhs.FluxAtFrequencyFromIndex(freq, p));
}
}
}
void operator*=(double factor) {
for (iterator i = begin(); i != end(); ++i) {
Measurement& m = i->second;
for (size_t p = 0; p != 4; ++p) {
m.SetFluxDensityFromIndex(p, m.FluxDensityFromIndex(p) * factor);
}
}
}
void CombineMeasurements(const MeasuredSED& other) {
for (const_iterator i = other.begin(); i != other.end(); ++i) {
double freq = i->first;
if (_measurements.find(freq) != end())
throw std::runtime_error(
"Combining measurements for new frequencies, but frequencies "
"overlap");
const Measurement& m = i->second;
AddMeasurement(m);
}
}
void CombineMeasurementsWithAveraging(const MeasuredSED& other,
double weight = 0.5) {
for (const_iterator i = other.begin(); i != other.end(); ++i) {
double freq = i->first;
FluxMap::iterator pos = _measurements.find(freq);
if (pos == end()) {
const Measurement& m = i->second;
AddMeasurement(m);
} else {
Measurement& m = pos->second;
m.AverageWidth(i->second, weight);
}
}
}
void AddMeasurement(const Measurement& measurement) {
_measurements.insert(std::pair<long double, Measurement>(
measurement.FrequencyHz(), measurement));
}
void AddMeasurement(long double fluxDensityJy, long double frequencyHz) {
Measurement measurement;
measurement.SetFluxDensityFromIndex(0, fluxDensityJy);
measurement.SetFluxDensityFromIndex(1, 0.0);
measurement.SetFluxDensityFromIndex(2, 0.0);
measurement.SetFluxDensityFromIndex(3, 0.0);
measurement.SetFrequencyHz(frequencyHz);
_measurements.insert(
std::pair<long double, Measurement>(frequencyHz, measurement));
}
template <typename T>
void AddMeasurement(const T* fluxDensityJyPerPol, long double frequencyHz) {
Measurement measurement;
for (size_t p = 0; p != 4; ++p)
measurement.SetFluxDensityFromIndex(p, fluxDensityJyPerPol[p]);
measurement.SetFrequencyHz(frequencyHz);
_measurements.insert(
std::pair<long double, Measurement>(frequencyHz, measurement));
}
void AddMeasurement(long double fluxDensityJy, long double frequencyHz,
long double spectralIndex,
aocommon::PolarizationEnum polarization =
aocommon::Polarization::StokesI) {
#ifdef EXTRA_ASSERTIONS
if (!aocommon::Polarization::IsStokes(polarization))
throw std::runtime_error("Cannot store specified polarization in model");
#endif
Measurement measurementA, measurementB;
measurementA.SetZeroExceptSinglePol(polarization, fluxDensityJy);
measurementA.SetFrequencyHz(frequencyHz);
_measurements.insert(
std::pair<long double, Measurement>(frequencyHz, measurementA));
if (spectralIndex != 0.0) {
long double fluxB = /* Calculate the flux density for 1 Hz frequency */
fluxDensityJy * std::pow(1.0 / frequencyHz, spectralIndex);
long double refFreqB = frequencyHz + 15000000.0;
if (refFreqB == frequencyHz) {
refFreqB *= 2.0;
}
fluxB = fluxB * std::pow(refFreqB, spectralIndex);
measurementB.SetZeroExceptSinglePol(polarization, fluxB);
measurementB.SetFrequencyHz(refFreqB);
_measurements.insert(
std::pair<long double, Measurement>(refFreqB, measurementB));
}
}
std::string ToString() const {
std::ostringstream s;
s.precision(15);
for (FluxMap::const_iterator i = _measurements.begin();
i != _measurements.end(); ++i) {
i->second.ToStream(s);
}
return s.str();
}
long double FluxAtFrequencyFromIndex(long double frequencyHz,
size_t pIndex) const {
if (_measurements.size() <= 1) {
if (_measurements.empty())
return 0.0;
else
return _measurements.begin()->second.FluxDensityFromIndex(pIndex);
}
// 'right' will be first item which frequency >= frequencyHz
FluxMap::const_iterator right = _measurements.lower_bound(frequencyHz);
if (right != _measurements.end() && right->first == frequencyHz)
return right->second.FluxDensityFromIndex(pIndex);
FluxMap::const_iterator left;
// If the requested frequency is outside the range, we extrapolate the SI of
// the full range
if (right == _measurements.begin() || right == _measurements.end()) {
left = _measurements.begin();
right = _measurements.end();
--right;
} else {
// Requested frequency is within range (no extrapolation required)
left = right;
--left;
}
long double freqA = left->first,
fluxA = left->second.FluxDensityFromIndex(pIndex),
freqB = right->first,
fluxB = right->second.FluxDensityFromIndex(pIndex);
return SpectralEnergyDistribution::FluxAtFrequency(fluxA, freqA, fluxB,
freqB, frequencyHz);
}
long double IntegratedFlux(long double startFrequency,
long double endFrequency,
aocommon::PolarizationEnum polarization) const {
if (startFrequency == endFrequency)
return FluxAtFrequency(startFrequency, polarization);
FluxMap::const_iterator iter = _measurements.lower_bound(startFrequency);
/** Handle special cases */
if (_measurements.size() <= 2) {
if (_measurements.empty())
return 0.0;
else if (_measurements.size() == 1)
return _measurements.begin()->second.FluxDensity(polarization);
else { // _measurements.size()==2
long double freqA = _measurements.begin()->first,
fluxA =
_measurements.begin()->second.FluxDensity(polarization),
freqB = _measurements.rbegin()->first,
fluxB = _measurements.rbegin()->second.FluxDensity(
polarization);
return SpectralEnergyDistribution::IntegratedFlux(
fluxA, freqA, fluxB, freqB, startFrequency, endFrequency);
}
}
if (iter ==
_measurements.end()) { // all keys are lower, so take entire range
long double freqA = _measurements.begin()->first,
fluxA =
_measurements.begin()->second.FluxDensity(polarization),
freqB = _measurements.rbegin()->first,
fluxB =
_measurements.rbegin()->second.FluxDensity(polarization);
return SpectralEnergyDistribution::IntegratedFlux(
fluxA, freqA, fluxB, freqB, startFrequency, endFrequency);
}
if (iter != _measurements.begin()) --iter;
if (iter->first >= endFrequency) {
// all keys are outside range, higher than range
long double freqA = _measurements.begin()->first,
fluxA =
_measurements.begin()->second.FluxDensity(polarization),
freqB = _measurements.rbegin()->first,
fluxB =
_measurements.rbegin()->second.FluxDensity(polarization);
return SpectralEnergyDistribution::IntegratedFlux(
fluxA, freqA, fluxB, freqB, startFrequency, endFrequency);
}
long double integratedSum = 0.0;
long double leftFrequency = startFrequency;
if (leftFrequency < iter->first) {
// requested frequency is below first item; extrapolate
long double freqA = _measurements.begin()->first,
fluxA =
_measurements.begin()->second.FluxDensity(polarization),
freqB = _measurements.rbegin()->first,
fluxB =
_measurements.rbegin()->second.FluxDensity(polarization);
long double sumTerm = SpectralEnergyDistribution::IntegratedFlux(
fluxA, freqA, fluxB, freqB, startFrequency, iter->first);
integratedSum += sumTerm * (iter->first - startFrequency);
leftFrequency = iter->first;
}
while (iter != _measurements.end() && iter->first < endFrequency) {
FluxMap::const_iterator left = iter;
FluxMap::const_iterator right = iter;
++right;
long double rightFrequency;
// If this is past the sampled frequencies, extrapolate full range
if (right == _measurements.end()) {
left = _measurements.begin();
right = _measurements.end();
--right;
rightFrequency = endFrequency;
} else {
rightFrequency = right->first;
if (rightFrequency > endFrequency) rightFrequency = endFrequency;
}
long double freqA = left->first,
fluxA = left->second.FluxDensity(polarization),
freqB = right->first,
fluxB = right->second.FluxDensity(polarization);
if (leftFrequency < rightFrequency) {
long double sumTerm = SpectralEnergyDistribution::IntegratedFlux(
fluxA, freqA, fluxB, freqB, leftFrequency, rightFrequency);
if (!std::isfinite(sumTerm)) {
std::cerr << "Warning: integrating flux between " << leftFrequency
<< " and " << rightFrequency << " with fluxes " << fluxA
<< '@' << freqA << ',' << fluxB << '@' << freqB
<< " gave non-finite result\n";
}
integratedSum += sumTerm * (rightFrequency - leftFrequency);
}
leftFrequency = rightFrequency;
++iter;
}
return integratedSum / (endFrequency - startFrequency);
}
long double AverageFlux(aocommon::PolarizationEnum polarization) const {
long double sum = 0.0;
size_t count = 0;
for (FluxMap::const_iterator i = _measurements.begin();
i != _measurements.end(); ++i) {
const Measurement& m = i->second;
long double flux = m.FluxDensity(polarization);
if (std::isfinite(flux)) {
++count;
sum += flux;
}
}
return sum / (long double)count;
}
long double AverageFlux(long double startFrequency, long double endFrequency,
aocommon::PolarizationEnum polarization) const {
if (startFrequency == endFrequency)
return FluxAtFrequency(startFrequency, polarization);
/** Handle special cases */
if (_measurements.empty()) return 0.0;
FluxMap::const_iterator iter = _measurements.lower_bound(startFrequency);
if (iter == _measurements.end()) // all keys are lower
return std::numeric_limits<long double>::quiet_NaN();
size_t count = 0;
long double fluxSum = 0.0;
while (iter->first < endFrequency && iter != _measurements.end()) {
long double flux = iter->second.FluxDensity(polarization);
if (std::isfinite(flux)) {
++count;
fluxSum += flux;
}
++iter;
}
if (count == 0)
return std::numeric_limits<long double>::quiet_NaN();
else
return fluxSum / count;
}
void FitPowerlaw(long double& factor, long double& exponent,
aocommon::PolarizationEnum polarization) const {
long double sumxy = 0.0, sumx = 0.0, sumy = 0.0, sumxx = 0.0;
size_t n = 0;
bool requireNonLinear = false;
for (FluxMap::const_iterator i = _measurements.begin();
i != _measurements.end(); ++i) {
const Measurement& m = i->second;
long double flux = m.FluxDensity(polarization);
if (flux <= 0) {
requireNonLinear = true;
break;
}
if (m.FrequencyHz() > 0 && flux > 0 && std::isfinite(flux)) {
long double logx = std::log(m.FrequencyHz()), logy = std::log(flux);
sumxy += logx * logy;
sumx += logx;
sumy += logy;
sumxx += logx * logx;
++n;
}
}
if (requireNonLinear) {
schaapcommon::fitters::NonLinearPowerLawFitter fitter;
n = 0;
for (FluxMap::const_iterator i = _measurements.begin();
i != _measurements.end(); ++i) {
const Measurement& m = i->second;
long double flux = m.FluxDensity(polarization);
if (std::isfinite(m.FrequencyHz()) && std::isfinite(flux)) {
fitter.AddDataPoint(m.FrequencyHz(), flux);
++n;
}
}
float eTemp = 0.0, fTemp = 1.0;
fitter.Fit(eTemp, fTemp);
// if(n == 0)
// std::cout << "No valid data in power law fit\n";
// else
// std::cout << "Non-linear fit yielded: " << fTemp << " * x^" <<
// eTemp << "\n";
exponent = eTemp;
factor = fTemp;
} else {
if (n == 0) {
exponent = std::numeric_limits<double>::quiet_NaN();
factor = std::numeric_limits<double>::quiet_NaN();
} else {
exponent = (n * sumxy - sumx * sumy) / (n * sumxx - sumx * sumx);
factor = std::exp((sumy - exponent * sumx) / n);
}
}
}
void FitPowerlaw2ndOrder(long double& a, long double& b, long double& c,
aocommon::PolarizationEnum polarization) const {
schaapcommon::fitters::NonLinearPowerLawFitter fitter;
size_t n = 0;
for (FluxMap::const_iterator i = _measurements.begin();
i != _measurements.end(); ++i) {
const Measurement& m = i->second;
long double flux = m.FluxDensity(polarization);
if (std::isfinite(m.FrequencyHz()) && std::isfinite(flux)) {
fitter.AddDataPoint(m.FrequencyHz(), flux);
++n;
}
}
float aTemp = 0.0, bTemp = 1.0, cTemp = 0.0;
fitter.Fit(aTemp, bTemp, cTemp);
a = aTemp;
b = bTemp;
c = cTemp;
}
void FitLogPolynomial(std::vector<float>& terms, size_t nTerms,
aocommon::PolarizationEnum polarization,
double referenceFrequencyHz = 1.0) const {
schaapcommon::fitters::NonLinearPowerLawFitter fitter;
size_t n = 0;
for (FluxMap::const_iterator i = _measurements.begin();
i != _measurements.end(); ++i) {
const Measurement& m = i->second;
long double flux = m.FluxDensity(polarization);
if (std::isfinite(m.FrequencyHz()) && std::isfinite(flux)) {
fitter.AddDataPoint(m.FrequencyHz() / referenceFrequencyHz, flux);
++n;
}
}
fitter.Fit(terms, nTerms);
}
virtual long double ReferenceFrequencyHz() const {
return (_measurements.begin()->second.FrequencyHz() +
_measurements.rbegin()->second.FrequencyHz()) *
0.5;
}
long double FluxAtLowestFrequency() const {
const Measurement& m = _measurements.begin()->second;
return m.FluxDensityFromIndex(0);
}
bool HasValidMeasurement() const {
for (FluxMap::const_iterator i = _measurements.begin();
i != _measurements.end(); ++i) {
if (std::isfinite(
i->second.FluxDensity(aocommon::Polarization::StokesI)) ||
std::isfinite(
i->second.FluxDensity(aocommon::Polarization::StokesQ)) ||
std::isfinite(
i->second.FluxDensity(aocommon::Polarization::StokesU)) ||
std::isfinite(i->second.FluxDensity(aocommon::Polarization::StokesV)))
return true;
}
return false;
}
void RemoveInvalidMeasurements() {
FluxMap::iterator i = _measurements.begin();
while (i != _measurements.end()) {
if (!std::isfinite(
i->second.FluxDensity(aocommon::Polarization::StokesI)) ||
!std::isfinite(
i->second.FluxDensity(aocommon::Polarization::StokesQ)) ||
!std::isfinite(
i->second.FluxDensity(aocommon::Polarization::StokesU)) ||
!std::isfinite(
i->second.FluxDensity(aocommon::Polarization::StokesV))) {
_measurements.erase(i);
i = _measurements.begin();
} else {
++i;
}
}
}
bool operator<(const SpectralEnergyDistribution& other) const {
const MeasuredSED& msed = dynamic_cast<const MeasuredSED&>(other);
double thisFrequency = _measurements.begin()->first;
double otherFrequency = msed._measurements.begin()->first;
double minFreq = std::min(thisFrequency, otherFrequency);
return FluxAtFrequencyFromIndex(minFreq, 0) <
msed.FluxAtFrequencyFromIndex(minFreq, 0);
}
size_t MeasurementCount() const { return _measurements.size(); }
long double LowestFrequency() const { return _measurements.begin()->first; }
long double HighestFrequency() const { return _measurements.rbegin()->first; }
long double CentreFrequency() const {
return 0.5 * (LowestFrequency() + HighestFrequency());
}
void GetMeasurements(std::vector<Measurement>& measurements) const {
for (FluxMap::const_iterator i = _measurements.begin();
i != _measurements.end(); ++i) {
measurements.push_back(i->second);
}
}
// iterator begin() { return boost::adaptors::values(_measurements).begin(); }
iterator begin() { return _measurements.begin(); }
const_iterator begin() const { return _measurements.begin(); }
iterator end() { return _measurements.end(); }
const_iterator end() const { return _measurements.end(); }
reverse_iterator rbegin() { return _measurements.rbegin(); }
const_reverse_iterator rbegin() const { return _measurements.rbegin(); }
reverse_iterator rend() { return _measurements.rend(); }
const_reverse_iterator rend() const { return _measurements.rend(); }
private:
FluxMap _measurements;
};
} // namespace wsclean
#endif
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