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#include "MantidCurveFitting/Functions/CrystalElectricField.h"
#include "MantidCurveFitting/Functions/CrystalFieldFunction.h"
#include "MantidCurveFitting/Functions/CrystalFieldHeatCapacity.h"
#include "MantidCurveFitting/Functions/CrystalFieldMagnetisation.h"
#include "MantidCurveFitting/Functions/CrystalFieldMoment.h"
#include "MantidCurveFitting/Functions/CrystalFieldPeakUtils.h"
#include "MantidCurveFitting/Functions/CrystalFieldPeaks.h"
#include "MantidCurveFitting/Functions/CrystalFieldSusceptibility.h"
#include "MantidAPI/FunctionFactory.h"
#include "MantidAPI/IConstraint.h"
#include "MantidAPI/IFunction1D.h"
#include "MantidAPI/IPeakFunction.h"
#include "MantidAPI/MultiDomainFunction.h"
#include "MantidAPI/ParameterTie.h"
#include "MantidKernel/Exception.h"
#include <boost/make_shared.hpp>
#include <boost/optional.hpp>
namespace Mantid {
namespace CurveFitting {
namespace Functions {
using namespace CurveFitting;
using namespace Kernel;
using namespace API;
DECLARE_FUNCTION(CrystalFieldFunction)
namespace {
const std::string ION_PREFIX("ion");
const std::string SPECTRUM_PREFIX("sp");
const std::string BACKGROUND_PREFIX("bg");
const std::string PEAK_PREFIX("pk");
// Regex for names of attributes/parameters for a particular spectrum
// Example: sp1.FWHMX
const boost::regex SPECTRUM_ATTR_REGEX(SPECTRUM_PREFIX + "([0-9]+)\\.(.+)");
// Regex for names of attributes/parameters for a background
// Example: bg.A1
const boost::regex BACKGROUND_ATTR_REGEX(BACKGROUND_PREFIX + "\\.(.+)");
// Regex for names of attributes/parameters for peaks
// Example: pk1.PeakCentre
const boost::regex PEAK_ATTR_REGEX(PEAK_PREFIX + "([0-9]+)\\.(.+)");
// Regex for names of attributes/parameters for peaks
// Example: ion1.pk0.PeakCentre
const boost::regex ION_ATTR_REGEX(ION_PREFIX + "([0-9]+)\\.(.+)");
// Regex for names of attributes/parameters for physical properties
// Example: cv.ScaleFactor
const boost::regex
PHYS_PROP_ATTR_REGEX("((ion[0-9]+\\.)?(cv|chi|mh|mt))\\.(.+)");
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/// Define the source function for CrystalFieldFunction.
/// Its function() method is not needed.
class Peaks : public CrystalFieldPeaksBase, public API::IFunctionGeneral {
public:
Peaks() : CrystalFieldPeaksBase() {}
std::string name() const override { return "Peaks"; }
size_t getNumberDomainColumns() const override {
throw Exception::NotImplementedError(
"This method is intentionally not implemented.");
}
size_t getNumberValuesPerArgument() const override {
throw Exception::NotImplementedError(
"This method is intentionally not implemented.");
}
void functionGeneral(const API::FunctionDomainGeneral &,
API::FunctionValues &) const override {
throw Exception::NotImplementedError(
"This method is intentionally not implemented.");
}
std::vector<size_t> m_IntensityScalingIdx;
std::vector<size_t> m_PPLambdaIdxChild;
std::vector<size_t> m_PPLambdaIdxSelf;
/// Declare the intensity scaling parameters: one per spectrum.
void declareIntensityScaling(size_t nSpec) {
m_IntensityScalingIdx.clear();
m_PPLambdaIdxChild.resize(nSpec, -1);
m_PPLambdaIdxSelf.resize(nSpec, -1);
for (size_t i = 0; i < nSpec; ++i) {
auto si = std::to_string(i);
try { // If parameter has already been declared, don't declare it.
declareParameter("IntensityScaling" + si, 1.0,
"Intensity scaling factor for spectrum " + si);
} catch (std::invalid_argument &) {
}
m_IntensityScalingIdx.push_back(parameterIndex("IntensityScaling" + si));
}
}
};
CrystalFieldFunction::CrystalFieldFunction()
: IFunction(), m_nControlParams(0), m_nControlSourceParams(0),
m_dirtyTarget(true) {}
// Evaluates the function
void CrystalFieldFunction::function(const FunctionDomain &domain,
FunctionValues &values) const {
updateTargetFunction();
if (!m_target) {
throw std::logic_error(
"FunctionGenerator failed to generate target function.");
}
m_target->function(domain, values);
}
/// Set the source function
/// @param source :: New source function.
void CrystalFieldFunction::setSource(IFunction_sptr source) const {
m_source = source;
}
size_t CrystalFieldFunction::getNumberDomains() const {
if (!m_target) {
buildTargetFunction();
}
if (!m_target) {
throw std::runtime_error("Failed to build target function.");
}
return m_target->getNumberDomains();
}
std::vector<IFunction_sptr>
CrystalFieldFunction::createEquivalentFunctions() const {
checkTargetFunction();
std::vector<IFunction_sptr> funs;
auto &composite = dynamic_cast<CompositeFunction &>(*m_target);
for (size_t i = 0; i < composite.nFunctions(); ++i) {
auto fun = composite.getFunction(i);
auto cfun = dynamic_cast<CompositeFunction *>(fun.get());
if (cfun) {
cfun->checkFunction();
}
funs.push_back(fun);
/// Set i-th parameter
void CrystalFieldFunction::setParameter(size_t i, const double &value,
bool explicitlySet) {
checkSourceFunction();
if (i < m_nControlParams) {
m_control.setParameter(i, value, explicitlySet);
m_dirtyTarget = true;
} else if (i < m_nControlSourceParams) {
m_source->setParameter(i - m_nControlParams, value, explicitlySet);
} else {
checkTargetFunction();
m_target->setParameter(i - m_nControlSourceParams, value, explicitlySet);
}
}
/// Set i-th parameter description
void CrystalFieldFunction::setParameterDescription(
size_t i, const std::string &description) {
checkSourceFunction();
if (i < m_nControlParams) {
m_control.setParameterDescription(i, description);
} else if (i < m_nControlSourceParams) {
m_source->setParameterDescription(i - m_nControlParams, description);
} else {
checkTargetFunction();
m_target->setParameterDescription(i - m_nControlSourceParams, description);
}
}
/// Get i-th parameter
double CrystalFieldFunction::getParameter(size_t i) const {
checkSourceFunction();
checkTargetFunction();
if (i < m_nControlParams) {
return m_control.getParameter(i);
} else if (i < m_nControlSourceParams) {
return m_source->getParameter(i - m_nControlParams);
} else {
return m_target->getParameter(i - m_nControlSourceParams);
/// Check if function has a parameter with this name.
bool CrystalFieldFunction::hasParameter(const std::string &name) const {
} catch (std::invalid_argument &) {
/// Set parameter by name.
void CrystalFieldFunction::setParameter(const std::string &name,
const double &value,
bool explicitlySet) {
try {
auto index = parameterIndex(name);
setParameter(index, value, explicitlySet);
} catch (std::invalid_argument &) {
// Allow ignoring peak parameters: the peak may not exist.
boost::smatch match;
if (!boost::regex_search(name, match, PEAK_ATTR_REGEX)) {
}
/// Set description of parameter by name.
void CrystalFieldFunction::setParameterDescription(
const std::string &name, const std::string &description) {
auto index = parameterIndex(name);
setParameterDescription(index, description);
}
/// Get parameter by name.
double CrystalFieldFunction::getParameter(const std::string &name) const {
auto index = parameterIndex(name);
return getParameter(index);
}
/// Total number of parameters
size_t CrystalFieldFunction::nParams() const {
// This method can be called on an uninitialised function (by tests for
// example).
// Return 0 so no exception is thrown an it should prevent attemts to access
// parameters.
return 0;
}
checkSourceFunction();
checkTargetFunction();
return m_nControlSourceParams + m_target->nParams();
/// Returns the index of a parameter with a given name
/// @param name :: Name of a parameter.
size_t CrystalFieldFunction::parameterIndex(const std::string &name) const {
checkSourceFunction();
checkTargetFunction();
if (nParams() != m_mapIndices2Names.size()) {
makeMaps();
auto found = m_mapNames2Indices.find(name);
if (found == m_mapNames2Indices.end()) {
throw std::invalid_argument("CrystalFieldFunction parameter not found: " +
name);
return found->second;
}
/// Returns the name of parameter i
std::string CrystalFieldFunction::parameterName(size_t i) const {
if (i >= nParams()) {
throw std::invalid_argument("CrystalFieldFunction's parameter index " +
std::to_string(i) + " is out of range " +
std::to_string(nParams()));
}
checkSourceFunction();
checkTargetFunction();
if (nParams() != m_mapIndices2Names.size()) {
makeMaps();
return m_mapIndices2Names[i];
}
/// Returns the description of parameter i
std::string CrystalFieldFunction::parameterDescription(size_t i) const {
checkSourceFunction();
checkTargetFunction();
if (i < m_nControlParams) {
return m_control.parameterDescription(i);
} else if (i < m_nControlSourceParams) {
return m_source->parameterDescription(i - m_nControlParams);
} else {
return m_target->parameterDescription(i - m_nControlSourceParams);
}
}
/// Checks if a parameter has been set explicitly
bool CrystalFieldFunction::isExplicitlySet(size_t i) const {
checkSourceFunction();
checkTargetFunction();
if (i < m_nControlParams) {
return m_control.isExplicitlySet(i);
} else if (i < m_nControlSourceParams) {
return m_source->isExplicitlySet(i - m_nControlParams);
} else {
return m_target->isExplicitlySet(i - m_nControlSourceParams);
}
}
/// Get the fitting error for a parameter
double CrystalFieldFunction::getError(size_t i) const {
checkSourceFunction();
checkTargetFunction();
if (i < m_nControlParams) {
return m_control.getError(i);
} else if (i < m_nControlSourceParams) {
return m_source->getError(i - m_nControlParams);
} else {
return m_target->getError(i - m_nControlSourceParams);
}
}
/// Set the fitting error for a parameter
void CrystalFieldFunction::setError(size_t i, double err) {
checkSourceFunction();
checkTargetFunction();
if (i < m_nControlParams) {
m_control.setError(i, err);
} else if (i < m_nControlSourceParams) {
m_source->setError(i - m_nControlParams, err);
m_target->setError(i - m_nControlSourceParams, err);
}
}
/// Change status of parameter
void CrystalFieldFunction::setParameterStatus(
size_t i, IFunction::ParameterStatus status) {
checkSourceFunction();
checkTargetFunction();
if (i < m_nControlParams) {
m_control.setParameterStatus(i, status);
} else if (i < m_nControlSourceParams) {
m_source->setParameterStatus(i - m_nControlParams, status);
m_target->setParameterStatus(i - m_nControlSourceParams, status);
}
}
/// Get status of parameter
IFunction::ParameterStatus
CrystalFieldFunction::getParameterStatus(size_t i) const {
checkSourceFunction();
checkTargetFunction();
if (i < m_nControlParams) {
return m_control.getParameterStatus(i);
} else if (i < m_nControlSourceParams) {
return m_source->getParameterStatus(i - m_nControlParams);
return m_target->getParameterStatus(i - m_nControlSourceParams);
}
}
/// Return parameter index from a parameter reference.
size_t
CrystalFieldFunction::getParameterIndex(const ParameterReference &ref) const {
checkSourceFunction();
checkTargetFunction();
if (ref.getLocalFunction() == this) {
return ref.getLocalIndex();
auto index = m_control.getParameterIndex(ref);
if (index < m_nControlParams) {
return index;
}
index = m_source->getParameterIndex(ref);
if (index < m_source->nParams()) {
return index + m_nControlParams;
}
return m_target->getParameterIndex(ref) + m_nControlSourceParams;
}
/// Set up the function for a fit.
void CrystalFieldFunction::setUpForFit() {
checkSourceFunction();
updateTargetFunction();
IFunction::setUpForFit();
}
/// Declare a new parameter
void CrystalFieldFunction::declareParameter(const std::string &, double,
const std::string &) {
throw Kernel::Exception::NotImplementedError(
"CrystalFieldFunction cannot have its own parameters.");
/// Build and cache the attribute names
void CrystalFieldFunction::buildAttributeNames() const {
checkSourceFunction();
checkTargetFunction();
if (!m_attributeNames.empty()) {
return;
m_attributeNames = IFunction::getAttributeNames();
auto controlAttributeNames = m_control.getAttributeNames();
// Lambda function that moves a attribute name from controlAttributeNames
// to attNames.
auto moveAttributeName = [&](const std::string &name) {
auto iterFound = std::find(controlAttributeNames.begin(),
controlAttributeNames.end(), name);
if (iterFound != controlAttributeNames.end()) {
controlAttributeNames.erase(iterFound);
m_attributeNames.push_back(name);
}
// Prepend a prefix to attribute names, ignore NumDeriv attribute.
auto prependPrefix =
[&](const std::string &prefix, const std::vector<std::string> &names) {
for (auto name : names) {
if (name == "NumDeriv")
continue;
name.insert(name.begin(), prefix.begin(), prefix.end());
m_attributeNames.push_back(name);
}
};
// These names must appear first and in this order in the output vector
moveAttributeName("Ions");
moveAttributeName("Symmetries");
moveAttributeName("Temperatures");
moveAttributeName("Background");
// Copy the rest of the names
m_attributeNames.insert(m_attributeNames.end(), controlAttributeNames.begin(),
controlAttributeNames.end());
for (size_t iSpec = 0; iSpec < m_control.nFunctions(); ++iSpec) {
std::string prefix(SPECTRUM_PREFIX);
prefix.append(std::to_string(iSpec)).append(".");
auto names = m_control.getFunction(iSpec)->getAttributeNames();
for (auto &name : names) {
name.insert(name.begin(), prefix.begin(), prefix.end());
}
m_attributeNames.insert(m_attributeNames.end(), names.begin(), names.end());
}
// Attributes of physical properties
for (size_t iSpec = nSpectra(); iSpec < m_target->nFunctions(); ++iSpec) {
auto fun = m_target->getFunction(iSpec).get();
auto compositePhysProp = dynamic_cast<CompositeFunction *>(fun);
if (compositePhysProp) {
// Multi-site case
std::string physPropPrefix(compositePhysProp->getFunction(0)->name());
physPropPrefix.append(".");
for (size_t ion = 0; ion < compositePhysProp->nFunctions(); ++ion) {
std::string prefix(ION_PREFIX);
prefix.append(std::to_string(ion)).append(".").append(physPropPrefix);
auto names = compositePhysProp->getFunction(ion)->getAttributeNames();
prependPrefix(prefix, names);
}
} else {
// Single-site
std::string prefix(fun->name());
prefix.append(".");
auto names = fun->getAttributeNames();
prependPrefix(prefix, names);
}
/// Returns the number of attributes associated with the function
size_t CrystalFieldFunction::nAttributes() const {
buildAttributeNames();
return m_attributeNames.size();
}
/// Returns a list of attribute names
std::vector<std::string> CrystalFieldFunction::getAttributeNames() const {
buildAttributeNames();
return m_attributeNames;
}
/// Return a value of attribute attName
/// @param attName :: Name of an attribute.
IFunction::Attribute
CrystalFieldFunction::getAttribute(const std::string &attName) const {
auto attRef = getAttributeReference(attName);
if (attRef.first == nullptr) {
// This will throw an exception because attribute doesn't exist
return IFunction::getAttribute(attName);
return attRef.first->getAttribute(attRef.second);
/// Perform custom actions on setting certain attributes.
void CrystalFieldFunction::setAttribute(const std::string &attName,
const Attribute &attr) {
auto attRef = getAttributeReference(attName);
if (attRef.first == nullptr) {
// This will throw an exception because attribute doesn't exist
IFunction::setAttribute(attName, attr);
} else if (attRef.first == &m_control) {
m_source.reset();
attRef.first->setAttribute(attRef.second, attr);
/// Check if attribute attName exists
bool CrystalFieldFunction::hasAttribute(const std::string &attName) const {
auto attRef = getAttributeReference(attName);
if (attRef.first == nullptr) {
return false;
}
return attRef.first->hasAttribute(attRef.second);
/// Get a reference to an attribute.
/// @param attName :: A name of an attribute. It can be a code rather than an
/// actual name. This method interprets the code and finds the function and
/// attribute it refers to.
/// @returns :: A pair (IFunction, attribute_name) where attribute_name is a
/// name that the IFunction has.
std::pair<API::IFunction *, std::string>
CrystalFieldFunction::getAttributeReference(const std::string &attName) const {
boost::smatch match;
if (boost::regex_match(attName, match, SPECTRUM_ATTR_REGEX)) {
auto i = std::stoul(match[1]);
auto name = match[2].str();
if (m_control.nFunctions() == 0) {
m_control.buildControls();
}
if (name == "FWHMX" || name == "FWHMY") {
if (i < m_control.nFunctions()) {
return std::make_pair(m_control.getFunction(i).get(), name);
} else {
return std::make_pair(nullptr, "");
}
}
return std::make_pair(nullptr, "");
} else if (boost::regex_match(attName, match, PHYS_PROP_ATTR_REGEX)) {
auto prop = match[1].str();
auto name = match[4].str();
auto propIt = m_mapPrefixes2PhysProps.find(prop);
if (propIt != m_mapPrefixes2PhysProps.end()) {
return std::make_pair(propIt->second.get(), name);
}
return std::make_pair(nullptr, "");
}
return std::make_pair(&m_control, attName);
}
/// Get number of the number of spectra (excluding phys prop data).
size_t CrystalFieldFunction::nSpectra() const {
auto nFuns = m_control.nFunctions();
return nFuns;
}
/// Get the tie for i-th parameter
ParameterTie *CrystalFieldFunction::getTie(size_t i) const {
checkSourceFunction();
checkTargetFunction();
auto tie = IFunction::getTie(i);
if (tie) {
return tie;
if (i < m_nControlParams) {
tie = m_control.getTie(i);
} else if (i < m_nControlSourceParams) {
tie = m_source->getTie(i - m_nControlParams);
tie = m_target->getTie(i - m_nControlSourceParams);
}
return tie;
}
/// Get the i-th constraint
IConstraint *CrystalFieldFunction::getConstraint(size_t i) const {
checkSourceFunction();
auto constraint = IFunction::getConstraint(i);
if (constraint == nullptr) {
if (i < m_nControlParams) {
constraint = m_control.getConstraint(i);
} else if (i < m_nControlSourceParams) {
constraint = m_source->getConstraint(i - m_nControlParams);
} else {
checkTargetFunction();
constraint = m_target->getConstraint(i - m_nControlSourceParams);
}
}
return constraint;
}
/// Check if the function is set up for a multi-site calculations.
/// (Multiple ions defined)
bool CrystalFieldFunction::isMultiSite() const {
return m_control.isMultiSite();
}
/// Check if the function is set up for a multi-spectrum calculations
/// (Multiple temperatures defined)
bool CrystalFieldFunction::isMultiSpectrum() const {
return m_control.isMultiSpectrum();
}
/// Check if the spectra have a background.
bool CrystalFieldFunction::hasBackground() const {
if (!hasAttribute("Background")) {
return false;
}
return !getAttribute("Background").isEmpty();
}
/// Check if there are peaks (there is at least one spectrum).
bool CrystalFieldFunction::hasPeaks() const { return m_control.hasPeaks(); }
/// Check if there are any phys. properties.
bool CrystalFieldFunction::hasPhysProperties() const {
return m_control.hasPhysProperties();
}
/// Get a reference to the source function if it's composite
API::CompositeFunction &CrystalFieldFunction::compositeSource() const {
auto composite = dynamic_cast<CompositeFunction *>(m_source.get());
if (composite == nullptr) {
throw std::logic_error("Source of CrystalFieldFunction is not composite.");
}
return *composite;
}
/// Build source function if necessary.
void CrystalFieldFunction::checkSourceFunction() const {
if (!m_source) {
buildSourceFunction();
/// Build the source function
void CrystalFieldFunction::buildSourceFunction() const {
setSource(m_control.buildSource());
m_nControlParams = m_control.nParams();
m_nControlSourceParams = m_nControlParams + m_source->nParams();
}
/// Update spectrum function if necessary.
void CrystalFieldFunction::checkTargetFunction() const {
updateTargetFunction();
}
if (!m_target) {
throw std::logic_error(
"CrystalFieldFunction failed to generate target function.");
}
}
/// Uses source to calculate peak centres and intensities
/// then populates m_spectrum with peaks of type given in PeakShape attribute.
void CrystalFieldFunction::buildTargetFunction() const {
checkSourceFunction();
m_dirtyTarget = false;
if (isMultiSite()) {
buildMultiSite();
} else {
buildSingleSite();
}
m_attributeNames.clear();
}
/// Build the target function in a single site case.
void CrystalFieldFunction::buildSingleSite() const {
if (isMultiSpectrum()) {
buildSingleSiteMultiSpectrum();
} else {
buildSingleSiteSingleSpectrum();
}
}
/// Build the target function in a multi site case.
void CrystalFieldFunction::buildMultiSite() const {
if (isMultiSpectrum()) {
buildMultiSiteMultiSpectrum();
} else {
buildMultiSiteSingleSpectrum();
}
}
/// Build the target function in a single site - single spectrum case.
void CrystalFieldFunction::buildSingleSiteSingleSpectrum() const {
auto spectrum = new CompositeFunction;
m_target.reset(spectrum);
m_target->setAttributeValue("NumDeriv", true);
auto bkgdShape = getAttribute("Background").asUnquotedString();
bool fixAllPeaks = getAttribute("FixAllPeaks").asBool();
if (!bkgdShape.empty()) {
auto background =
API::FunctionFactory::Instance().createInitialized(bkgdShape);
spectrum->addFunction(background);
}
FunctionDomainGeneral domain;
FunctionValues values;
m_source->function(domain, values);
if (values.size() == 0) {
return;
}
if (values.size() % 2 != 0) {
throw std::runtime_error(
"CrystalFieldPeaks returned odd number of values.");
}
auto xVec = m_control.getAttribute("FWHMX").asVector();
auto yVec = m_control.getAttribute("FWHMY").asVector();
auto &FWHMs = m_control.FWHMs();
auto defaultFWHM = FWHMs.empty() ? 0.0 : FWHMs[0];
auto fwhmVariation = getAttribute("FWHMVariation").asDouble();
auto peakShape = getAttribute("PeakShape").asString();
size_t nRequiredPeaks = getAttribute("NPeaks").asInt();
CrystalFieldUtils::buildSpectrumFunction(*spectrum, peakShape, values, xVec,
yVec, fwhmVariation, defaultFWHM,
nRequiredPeaks, fixAllPeaks);
}
/// Build the target function in a single site - multi spectrum case.
void CrystalFieldFunction::buildSingleSiteMultiSpectrum() const {
auto fun = new MultiDomainFunction;
m_target.reset(fun);
DoubleFortranVector energies;
ComplexFortranMatrix waveFunctions;
ComplexFortranMatrix hamiltonian;
ComplexFortranMatrix hamiltonianZeeman;
auto &peakCalculator = dynamic_cast<CrystalFieldPeaksBase &>(*m_source);
peakCalculator.calculateEigenSystem(energies, waveFunctions, hamiltonian,
hamiltonianZeeman, nre);
hamiltonian += hamiltonianZeeman;
const auto nSpec = nSpectra();
auto &temperatures = m_control.temperatures();
auto &FWHMs = m_control.FWHMs();
const bool addBackground = true;
for (size_t i = 0; i < nSpec; ++i) {
auto intensityScaling =
m_control.getFunction(i)->getParameter("IntensityScaling");
fun->addFunction(buildSpectrum(nre, energies, waveFunctions,
temperatures[i], FWHMs[i], i, addBackground,
intensityScaling));
fun->setDomainIndex(i, i);
}
auto &physProps = m_control.physProps();
size_t i = nSpec;
auto physPropFun =
buildPhysprop(nre, energies, waveFunctions, hamiltonian, prop);
fun->addFunction(physPropFun);
m_mapPrefixes2PhysProps[prop] = physPropFun;
}
}
/// Build the target function in a multi site - single spectrum case.
void CrystalFieldFunction::buildMultiSiteSingleSpectrum() const {
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auto spectrum = new CompositeFunction;
m_target.reset(spectrum);
m_target->setAttributeValue("NumDeriv", true);
auto bkgdShape = getAttribute("Background").asUnquotedString();
bool fixAllPeaks = getAttribute("FixAllPeaks").asBool();
if (!bkgdShape.empty()) {
auto background =
API::FunctionFactory::Instance().createInitialized(bkgdShape);
spectrum->addFunction(background);
}
auto &FWHMs = m_control.FWHMs();
auto defaultFWHM = FWHMs.empty() ? 0.0 : FWHMs[0];
auto fwhmVariation = getAttribute("FWHMVariation").asDouble();
auto peakShape = getAttribute("PeakShape").asString();
size_t nRequiredPeaks = getAttribute("NPeaks").asInt();
auto xVec = m_control.getAttribute("FWHMX").asVector();
auto yVec = m_control.getAttribute("FWHMY").asVector();
auto &compSource = compositeSource();
for (size_t ionIndex = 0; ionIndex < compSource.nFunctions(); ++ionIndex) {
FunctionDomainGeneral domain;
FunctionValues values;
compSource.getFunction(ionIndex)->function(domain, values);
if (values.size() == 0) {
continue;
}
if (values.size() % 2 != 0) {
throw std::runtime_error(
"CrystalFieldPeaks returned odd number of values.");
}
auto ionSpectrum = boost::make_shared<CompositeFunction>();
CrystalFieldUtils::buildSpectrumFunction(
*ionSpectrum, peakShape, values, xVec, yVec, fwhmVariation, defaultFWHM,
nRequiredPeaks, fixAllPeaks);
spectrum->addFunction(ionSpectrum);
}
/// Build the target function in a multi site - multi spectrum case.
void CrystalFieldFunction::buildMultiSiteMultiSpectrum() const {
auto multiDomain = new MultiDomainFunction;
m_target.reset(multiDomain);
const auto nSpec = nSpectra();
std::vector<CompositeFunction *> spectra(nSpec);
for (size_t i = 0; i < nSpec; ++i) {
auto spectrum = boost::make_shared<CompositeFunction>();
spectra[i] = spectrum.get();
multiDomain->addFunction(spectrum);
multiDomain->setDomainIndex(i, i);
}
auto &physProps = m_control.physProps();
std::vector<CompositeFunction_sptr> compositePhysProps(physProps.size());
std::generate(compositePhysProps.begin(), compositePhysProps.end(),
[]() { return boost::make_shared<CompositeFunction>(); });
auto &compSource = compositeSource();
for (size_t ionIndex = 0; ionIndex < compSource.nFunctions(); ++ionIndex) {
DoubleFortranVector energies;
ComplexFortranMatrix waveFunctions;
ComplexFortranMatrix hamiltonian;
ComplexFortranMatrix hamiltonianZeeman;
auto &peakCalculator = dynamic_cast<CrystalFieldPeaksBase &>(
*compSource.getFunction(ionIndex));
peakCalculator.calculateEigenSystem(energies, waveFunctions, hamiltonian,
hamiltonianZeeman, nre);
hamiltonian += hamiltonianZeeman;
auto &temperatures = m_control.temperatures();
auto &FWHMs = m_control.FWHMs();
const bool addBackground = ionIndex == 0;
auto ionIntensityScaling =
compSource.getFunction(ionIndex)->getParameter("IntensityScaling");
for (size_t i = 0; i < nSpec; ++i) {
auto spectrumIntensityScaling =
m_control.getFunction(i)->getParameter("IntensityScaling");
spectra[i]->addFunction(buildSpectrum(
nre, energies, waveFunctions, temperatures[i], FWHMs[i], i,
addBackground, ionIntensityScaling * spectrumIntensityScaling));
size_t i = 0;
for (auto &prop : physProps) {
auto physPropFun =
buildPhysprop(nre, energies, waveFunctions, hamiltonian, prop);
compositePhysProps[i]->addFunction(physPropFun);
std::string propName = "ion";
propName.append(std::to_string(ionIndex)).append(".").append(prop);
m_mapPrefixes2PhysProps[propName] = physPropFun;
m_target->checkFunction();
for (auto &propFun : compositePhysProps) {
multiDomain->addFunction(propFun);
multiDomain->setDomainIndex(i, i);
++i;
}
/// Calculate excitations at given temperature.
/// @param nre :: An id of the ion.
/// @param energies :: A vector with energies.
/// @param waveFunctions :: A matrix with wave functions.
/// @param temperature :: A temperature of the spectrum.
/// @param values :: An object to receive computed excitations.
/// @param intensityScaling :: A scaling factor for the intensities.
void CrystalFieldFunction::calcExcitations(
int nre, const DoubleFortranVector &energies,
const ComplexFortranMatrix &waveFunctions, double temperature,
FunctionValues &values, double intensityScaling) const {
IntFortranVector degeneration;
DoubleFortranVector eEnergies;
DoubleFortranMatrix iEnergies;
const double toleranceEnergy = getAttribute("ToleranceEnergy").asDouble();
const double toleranceIntensity =
getAttribute("ToleranceIntensity").asDouble();
DoubleFortranVector eExcitations;
DoubleFortranVector iExcitations;
calculateIntensities(nre, energies, waveFunctions, temperature,
toleranceEnergy, degeneration, eEnergies, iEnergies);
calculateExcitations(eEnergies, iEnergies, toleranceEnergy,
toleranceIntensity, eExcitations, iExcitations);
const auto nPeaks = eExcitations.size();
values.expand(2 * nPeaks);
for (size_t i = 0; i < nPeaks; ++i) {
values.setCalculated(i, eExcitations.get(i));
values.setCalculated(i + nPeaks, iExcitations.get(i) * intensityScaling);
}
}
/// Build a function for a single spectrum.
/// @param nre :: An id of the ion.
/// @param energies :: A vector with energies.
/// @param waveFunctions :: A matrix with wave functions.
/// @param temperature :: A temperature of the spectrum.
/// @param fwhm :: A full width at half maximum to set to each peak.
/// @param iSpec :: An index of the created spectrum in m_target composite
/// function.
/// @param addBackground :: An option to add a background to the spectrum.
/// @param intensityScaling :: A scaling factor for the peak intensities.
API::IFunction_sptr CrystalFieldFunction::buildSpectrum(
int nre, const DoubleFortranVector &energies,
const ComplexFortranMatrix &waveFunctions, double temperature, double fwhm,
size_t iSpec, bool addBackground, double intensityScaling) const {
calcExcitations(nre, energies, waveFunctions, temperature, values,
intensityScaling);
const auto fwhmVariation = getAttribute("FWHMVariation").asDouble();
const auto peakShape = getAttribute("PeakShape").asString();
auto bkgdShape = getAttribute("Background").asUnquotedString();
const size_t nRequiredPeaks = getAttribute("NPeaks").asInt();
const bool fixAllPeaks = getAttribute("FixAllPeaks").asBool();
auto spectrum = new CompositeFunction;
if (addBackground && !bkgdShape.empty()) {
if (bkgdShape.find("name=") != 0 && bkgdShape.front() != '(') {
bkgdShape = "name=" + bkgdShape;
}
auto background =
API::FunctionFactory::Instance().createInitialized(bkgdShape);
spectrum->addFunction(background);
}
auto xVec = m_control.getFunction(iSpec)->getAttribute("FWHMX").asVector();
auto yVec = m_control.getFunction(iSpec)->getAttribute("FWHMX").asVector();
CrystalFieldUtils::buildSpectrumFunction(*spectrum, peakShape, values, xVec,
yVec, fwhmVariation, fwhm,
nRequiredPeaks, fixAllPeaks);
return IFunction_sptr(spectrum);
}
/// Build a physical property function.
/// @param nre :: An id of the ion.
/// @param energies :: A vector with energies.
/// @param waveFunctions :: A matrix with wave functions.
/// @param hamiltonian :: A matrix with the hamiltonian.
/// @param propName :: the name of the physical property.
API::IFunction_sptr
CrystalFieldFunction::buildPhysprop(int nre,
const DoubleFortranVector &energies,
const ComplexFortranMatrix &waveFunctions,
const ComplexFortranMatrix &hamiltonian,
const std::string &propName) const {
if (propName == "cv") { // HeatCapacity
auto propFun = boost::make_shared<CrystalFieldHeatCapacityCalculation>();
return propFun;
}
if (propName == "chi") { // Susceptibility
auto propFun = boost::make_shared<CrystalFieldSusceptibilityCalculation>();
propFun->setEigensystem(energies, waveFunctions, nre);
return propFun;
}
if (propName == "mh") { // Magnetisation
auto propFun = boost::make_shared<CrystalFieldMagnetisationCalculation>();
propFun->setHamiltonian(hamiltonian, nre);
return propFun;
}
if (propName == "mt") { // MagneticMoment
auto propFun = boost::make_shared<CrystalFieldMomentCalculation>();
propFun->setHamiltonian(hamiltonian, nre);
return propFun;
throw std::runtime_error("Physical property type not understood: " +
propName);
/// Update a physical property function.
/// @param nre :: An id of the ion.
/// @param energies :: A vector with energies.
/// @param waveFunctions :: A matrix with wave functions.
/// @param hamiltonian :: A matrix with the hamiltonian.
/// @param function :: A function to update.
void CrystalFieldFunction::updatePhysprop(
int nre, const DoubleFortranVector &energies,
const ComplexFortranMatrix &waveFunctions,
const ComplexFortranMatrix &hamiltonian, API::IFunction &function) const {
auto propName = function.name();
if (propName == "cv") { // HeatCapacity
auto &propFun =
dynamic_cast<CrystalFieldHeatCapacityCalculation &>(function);
} else if (propName == "chi") { // Susceptibility
auto &propFun =
dynamic_cast<CrystalFieldSusceptibilityCalculation &>(function);
propFun.setEigensystem(energies, waveFunctions, nre);
} else if (propName == "mh") { // Magnetisation
auto &propFun =
dynamic_cast<CrystalFieldMagnetisationCalculation &>(function);
propFun.setHamiltonian(hamiltonian, nre);
} else if (propName == "mt") { // MagneticMoment
auto &propFun = dynamic_cast<CrystalFieldMomentCalculation &>(function);
propFun.setHamiltonian(hamiltonian, nre);
throw std::runtime_error("Physical property type not understood: " +
propName);
/// Update m_spectrum function.
void CrystalFieldFunction::updateTargetFunction() const {
if (!m_target) {
buildTargetFunction();
return;
}
if (isMultiSite()) {
updateMultiSite();
} else {
updateSingleSite();
}
m_target->checkFunction();
}
/// Update the target function in a single site case.
void CrystalFieldFunction::updateSingleSite() const {
if (isMultiSpectrum()) {
updateSingleSiteMultiSpectrum();
} else {
updateSingleSiteSingleSpectrum();
}
}
/// Update the target function in a multi site case.
void CrystalFieldFunction::updateMultiSite() const {
if (isMultiSpectrum()) {
updateMultiSiteMultiSpectrum();
} else {
updateMultiSiteSingleSpectrum();
}
}
/// Update the target function in a single site - single spectrum case.
void CrystalFieldFunction::updateSingleSiteSingleSpectrum() const {
auto fwhmVariation = m_control.getAttribute("FWHMVariation").asDouble();
auto peakShape = m_control.getAttribute("PeakShape").asString();
bool fixAllPeaks = m_control.getAttribute("FixAllPeaks").asBool();
auto xVec = m_control.getAttribute("FWHMX").asVector();
auto yVec = m_control.getAttribute("FWHMX").asVector();
auto &FWHMs = m_control.FWHMs();
auto defaultFWHM = FWHMs.empty() ? 0.0 : FWHMs[0];
size_t indexShift = hasBackground() ? 1 : 0;
FunctionDomainGeneral domain;
FunctionValues values;
m_source->function(domain, values);
m_target->setAttributeValue("NumDeriv", true);
auto &spectrum = dynamic_cast<CompositeFunction &>(*m_target);
CrystalFieldUtils::updateSpectrumFunction(
spectrum, peakShape, values, indexShift, xVec, yVec, fwhmVariation,
defaultFWHM, fixAllPeaks);
}
/// Update the target function in a single site - multi spectrum case.
void CrystalFieldFunction::updateSingleSiteMultiSpectrum() const {
DoubleFortranVector energies;
ComplexFortranMatrix waveFunctions;
ComplexFortranMatrix hamiltonian;
ComplexFortranMatrix hamiltonianZeeman;
auto &peakCalculator = dynamic_cast<CrystalFieldPeaksBase &>(*m_source);
peakCalculator.calculateEigenSystem(energies, waveFunctions, hamiltonian,
hamiltonianZeeman, nre);
hamiltonian += hamiltonianZeeman;
size_t iFirst = hasBackground() ? 1 : 0;
auto &fun = dynamic_cast<MultiDomainFunction &>(*m_target);
auto &temperatures = m_control.temperatures();
auto &FWHMs = m_control.FWHMs();
for (size_t iSpec = 0; iSpec < temperatures.size(); ++iSpec) {
updateSpectrum(*fun.getFunction(iSpec), nre, energies, waveFunctions,
temperatures[iSpec], FWHMs[iSpec], iSpec, iFirst);
for (auto &prop : m_mapPrefixes2PhysProps) {
updatePhysprop(nre, energies, waveFunctions, hamiltonian, *prop.second);
/// Update the target function in a multi site - single spectrum case.
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void CrystalFieldFunction::updateMultiSiteSingleSpectrum() const {
auto fwhmVariation = getAttribute("FWHMVariation").asDouble();
auto peakShape = getAttribute("PeakShape").asString();
bool fixAllPeaks = getAttribute("FixAllPeaks").asBool();
auto xVec = m_control.getAttribute("FWHMX").asVector();
auto yVec = m_control.getAttribute("FWHMX").asVector();
auto &FWHMs = m_control.FWHMs();
auto defaultFWHM = FWHMs.empty() ? 0.0 : FWHMs[0];
size_t spectrumIndexShift = hasBackground() ? 1 : 0;
auto &compSource = compositeSource();
for (size_t ionIndex = 0; ionIndex < compSource.nFunctions(); ++ionIndex) {
FunctionDomainGeneral domain;
FunctionValues values;
compSource.getFunction(ionIndex)->function(domain, values);
auto &ionSpectrum = dynamic_cast<CompositeFunction &>(
*m_target->getFunction(ionIndex + spectrumIndexShift));
CrystalFieldUtils::updateSpectrumFunction(ionSpectrum, peakShape, values, 0,
xVec, yVec, fwhmVariation,
defaultFWHM, fixAllPeaks);
}
}
/// Update the target function in a multi site - multi spectrum case.
void CrystalFieldFunction::updateMultiSiteMultiSpectrum() const {
auto &compSource = compositeSource();
for (size_t ionIndex = 0; ionIndex < compSource.nFunctions(); ++ionIndex) {
DoubleFortranVector energies;
ComplexFortranMatrix waveFunctions;
ComplexFortranMatrix hamiltonian;
ComplexFortranMatrix hamiltonianZeeman;
auto &peakCalculator = dynamic_cast<CrystalFieldPeaksBase &>(
*compSource.getFunction(ionIndex));
peakCalculator.calculateEigenSystem(energies, waveFunctions, hamiltonian,
hamiltonianZeeman, nre);
hamiltonian += hamiltonianZeeman;
size_t iFirst = ionIndex == 0 && hasBackground() ? 1 : 0;
auto &temperatures = m_control.temperatures();
auto &FWHMs = m_control.FWHMs();
for (size_t iSpec = 0; iSpec < temperatures.size(); ++iSpec) {
auto &spectrum =
dynamic_cast<CompositeFunction &>(*m_target->getFunction(iSpec));
auto &ionSpectrum =
dynamic_cast<CompositeFunction &>(*spectrum.getFunction(ionIndex));
updateSpectrum(ionSpectrum, nre, energies, waveFunctions,
temperatures[iSpec], FWHMs[iSpec], iSpec, iFirst);
std::string prefix("ion");
prefix.append(std::to_string(ionIndex)).append(".");
auto prefixSize = prefix.size();
for (auto prop : m_mapPrefixes2PhysProps) {
if (prop.first.substr(0, prefixSize) == prefix) {
updatePhysprop(nre, energies, waveFunctions, hamiltonian, *prop.second);
/// Update a function for a single spectrum.
/// @param spectrum :: A Spectrum function to update.
/// @param nre :: An id of the ion.
/// @param energies :: A vector with energies.
/// @param waveFunctions :: A matrix with wave functions.
/// @param temperature :: A temperature of the spectrum.
/// @param fwhm :: A full width at half maximum to set to each peak.
/// @param iSpec :: An index of the created spectrum in m_target composite
/// function.
/// @param iFirst :: An index of the first peak in spectrum composite function.
void CrystalFieldFunction::updateSpectrum(
API::IFunction &spectrum, int nre, const DoubleFortranVector &energies,
const ComplexFortranMatrix &waveFunctions, double temperature, double fwhm,
size_t iSpec, size_t iFirst) const {
const auto fwhmVariation = getAttribute("FWHMVariation").asDouble();
const auto peakShape = getAttribute("PeakShape").asString();
const bool fixAllPeaks = getAttribute("FixAllPeaks").asBool();
auto xVec = m_control.getFunction(iSpec)->getAttribute("FWHMX").asVector();
auto yVec = m_control.getFunction(iSpec)->getAttribute("FWHMX").asVector();
auto intensityScaling =
m_control.getFunction(iSpec)->getParameter("IntensityScaling");
calcExcitations(nre, energies, waveFunctions, temperature, values,
intensityScaling);
auto &composite = dynamic_cast<API::CompositeFunction &>(spectrum);
CrystalFieldUtils::updateSpectrumFunction(composite, peakShape, values,
iFirst, xVec, yVec, fwhmVariation,
fwhm, fixAllPeaks);
/// Make maps between parameter names and indices
void CrystalFieldFunction::makeMaps() const {
m_mapNames2Indices.clear();
m_mapIndices2Names.resize(nParams());
if (isMultiSite()) {
if (isMultiSpectrum()) {
makeMapsMultiSiteMultiSpectrum();
makeMapsMultiSiteSingleSpectrum();
}
} else {
if (isMultiSpectrum()) {
makeMapsSingleSiteMultiSpectrum();
makeMapsSingleSiteSingleSpectrum();
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}
}
}
/// Make parameter names from names of a function and map them to indices
/// @param fun :: A function to get parameter names from.
/// @param iFirst :: An index that maps to the first parameter of fun.
/// @param prefix :: A prefix to add to all parameters
size_t
CrystalFieldFunction::makeMapsForFunction(const IFunction &fun, size_t iFirst,
const std::string &prefix) const {
auto n = fun.nParams();
for (size_t i = 0; i < n; ++i) {
size_t j = i + iFirst;
auto name(prefix);
name.append(fun.parameterName(i));
m_mapNames2Indices[name] = j;
m_mapIndices2Names[j] = name;
}
return n;
}
/// Parameter-index map for single-site single-spectrum
void CrystalFieldFunction::makeMapsSingleSiteSingleSpectrum() const {
size_t i = makeMapsForFunction(*m_source, 0, "");
size_t peakIndex = 0;
// If there is a background it's the first function in m_target
if (hasBackground()) {
auto &background = *m_target->getFunction(0);
i += makeMapsForFunction(background, i, BACKGROUND_PREFIX + ".");
peakIndex = 1;
}
// All other functions are peaks.
for (size_t ip = peakIndex; ip < m_target->nFunctions(); ++ip) {
std::string prefix(PEAK_PREFIX);
prefix.append(std::to_string(ip - peakIndex)).append(".");
i += makeMapsForFunction(*m_target->getFunction(ip), i, prefix);
}
}
/// Parameter-index map for single-site multi-spectrum
void CrystalFieldFunction::makeMapsSingleSiteMultiSpectrum() const {
size_t i = 0;
// Intensity scalings for each spectrum
for (size_t j = 0; j < m_control.nFunctions(); ++j) {
std::string prefix(SPECTRUM_PREFIX);
prefix.append(std::to_string(j)).append(".");
i += makeMapsForFunction(*m_control.getFunction(j), i, prefix);
}
// Crystal field parameters
i += makeMapsForFunction(*m_source, i, "");
size_t peakIndex = 0;
for (size_t iSpec = 0; iSpec < m_target->nFunctions(); ++iSpec) {
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if (auto spectrum = dynamic_cast<const CompositeFunction *>(
m_target->getFunction(iSpec).get())) {
// This is a normal spectrum
std::string spectrumPrefix(SPECTRUM_PREFIX);
spectrumPrefix.append(std::to_string(iSpec)).append(".");
// If there is a background it's the first function in spectrum
if (hasBackground()) {
auto &background = *spectrum->getFunction(0);
i += makeMapsForFunction(background, i,
spectrumPrefix + BACKGROUND_PREFIX + ".");
peakIndex = 1;
}
// All other functions are peaks.
for (size_t ip = peakIndex; ip < spectrum->nFunctions(); ++ip) {
std::string prefix(spectrumPrefix);
prefix.append(PEAK_PREFIX)
.append(std::to_string(ip - peakIndex))
.append(".");
i += makeMapsForFunction(*spectrum->getFunction(ip), i, prefix);
}
} else {
// This is a physical property function
std::string prefix(m_control.physProps()[iSpec - nSpectra()]);
prefix.append(".");
i += makeMapsForFunction(*m_target->getFunction(iSpec), i, prefix);
}
}
}
/// Parameter-index map for multi-site single-spectrum
void CrystalFieldFunction::makeMapsMultiSiteSingleSpectrum() const {
size_t i = 0;
// Intensity scalings for each ion
auto &crystalField = compositeSource();
for (size_t ion = 0; ion < crystalField.nFunctions(); ++ion) {
std::string prefix(ION_PREFIX);
prefix.append(std::to_string(ion)).append(".");
i += makeMapsForFunction(*crystalField.getFunction(ion), i, prefix);
}
// Spectrum split into an optional background and groups of peaks for
// each ion
size_t ionIndex = 0;
// If there is a background it's the first function in spectrum
if (hasBackground()) {
auto &background = *m_target->getFunction(0);
i += makeMapsForFunction(background, i, BACKGROUND_PREFIX + ".");
ionIndex = 1;
}
// All other functions are ion spectra.
for (size_t ion = ionIndex; ion < m_target->nFunctions(); ++ion) {
std::string ionPrefix(ION_PREFIX);
ionPrefix.append(std::to_string(ion - ionIndex)).append(".");
// All other functions are peaks.
auto &spectrum =
dynamic_cast<const CompositeFunction &>(*m_target->getFunction(ion));
for (size_t ip = 0; ip < spectrum.nFunctions(); ++ip) {
std::string prefix(ionPrefix);
prefix.append(PEAK_PREFIX).append(std::to_string(ip)).append(".");
i += makeMapsForFunction(*spectrum.getFunction(ip), i, prefix);
}
}
}
/// Parameter-index map for multi-site multi-spectrum
void CrystalFieldFunction::makeMapsMultiSiteMultiSpectrum() const {
size_t i = 0;
// Intensity scalings for each spectrum
for (size_t j = 0; j < m_control.nFunctions(); ++j) {
std::string prefix(SPECTRUM_PREFIX);
prefix.append(std::to_string(j)).append(".");
i += makeMapsForFunction(*m_control.getFunction(j), i, prefix);
}
// Intensity scalings for each ion
auto &crystalField = compositeSource();
for (size_t ion = 0; ion < crystalField.nFunctions(); ++ion) {
std::string prefix(ION_PREFIX);
prefix.append(std::to_string(ion)).append(".");
i += makeMapsForFunction(*crystalField.getFunction(ion), i, prefix);
}
// The spectra (background and peak) parameters
for (size_t iSpec = 0; iSpec < nSpectra(); ++iSpec) {
auto &spectrum =
dynamic_cast<const CompositeFunction &>(*m_target->getFunction(iSpec));
std::string spectrumPrefix(SPECTRUM_PREFIX);
spectrumPrefix.append(std::to_string(iSpec)).append(".");
// All other functions are ion spectra.
for (size_t ion = 0; ion < crystalField.nFunctions(); ++ion) {
auto &ionSpectrum =
dynamic_cast<const CompositeFunction &>(*spectrum.getFunction(ion));
size_t peakIndex = 0;
if (ion == 0 && hasBackground()) {
peakIndex = 1;
std::string prefix(spectrumPrefix);
prefix.append(BACKGROUND_PREFIX).append(".");
i += makeMapsForFunction(*ionSpectrum.getFunction(0), i, prefix);
}
std::string ionPrefix(ION_PREFIX);
ionPrefix.append(std::to_string(ion)).append(".").append(spectrumPrefix);
// All other functions are peaks.
for (size_t ip = peakIndex; ip < ionSpectrum.nFunctions(); ++ip) {
std::string prefix(ionPrefix);
prefix.append(PEAK_PREFIX)
.append(std::to_string(ip - peakIndex))
.append(".");
i += makeMapsForFunction(*ionSpectrum.getFunction(ip), i, prefix);
}
}
}
// The phys prop parameters
for (size_t iSpec = nSpectra(); iSpec < m_target->nFunctions(); ++iSpec) {
auto &spectrum =
dynamic_cast<const CompositeFunction &>(*m_target->getFunction(iSpec));
std::string physPropPrefix(spectrum.getFunction(0)->name());
physPropPrefix.append(".");
for (size_t ion = 0; ion < crystalField.nFunctions(); ++ion) {
std::string prefix(ION_PREFIX);
prefix.append(std::to_string(ion)).append(".").append(physPropPrefix);
i += makeMapsForFunction(*spectrum.getFunction(ion), i, prefix);
}
}
} // namespace Functions
} // namespace CurveFitting
} // namespace Mantid