npstat::LinInterpolatedTableND< Numeric, Axis > Class Template Reference

#include <LinInterpolatedTableND.h>

Public Types
typedef Axis	axis_type
typedef Numeric	value_type

Public Member Functions
void	getCoords (unsigned long linearIndex, double *coords, unsigned coordsBufferSize) const
template<class Functor1 , class Functor2 >
std::unique_ptr< LinInterpolatedTableND >	invertRatioResponse (unsigned axisNumber, const Axis &replacementAxis, bool newAxisLeftLinear, bool newAxisRightLinear, Functor1 invg, Functor2 invh, const char *functionLabel=0) const
template<class Functor1 , class Functor2 >
std::unique_ptr< LinInterpolatedTableND< Numeric, Axis > >	invertRatioResponse (const unsigned axisNumber, const Axis &replacementAxis, const bool leftLinear, const bool rightLinear, Functor1 invg, Functor2 invh, const char *functionLabel) const
template<typename ConvertibleToUnsigned >
std::unique_ptr< LinInterpolatedTableND >	invertWRTAxis (ConvertibleToUnsigned axisNumber, const Axis &replacementAxis, bool newAxisLeftLinear, bool newAxisRightLinear, const char *functionLabel=0) const
template<typename ConvertibleToUnsigned >
std::unique_ptr< LinInterpolatedTableND< Numeric, Axis > >	invertWRTAxis (const ConvertibleToUnsigned axisNumC, const Axis &replacementAxis, const bool leftLinear, const bool rightLinear, const char *functionLabel) const
bool	isUniformlyBinned () const
bool	isWithinLimits (const double *point, unsigned dim) const
	LinInterpolatedTableND (const std::vector< Axis > &axes, const std::vector< std::pair< bool, bool > > &extrapolationType, const char *functionLabel=0)
	LinInterpolatedTableND (const Axis &xAxis, bool leftX, bool rightX, const char *functionLabel=0)
	LinInterpolatedTableND (const Axis &xAxis, bool leftX, bool rightX, const Axis &yAxis, bool leftY, bool rightY, const char *functionLabel=0)
	LinInterpolatedTableND (const Axis &xAxis, bool leftX, bool rightX, const Axis &yAxis, bool leftY, bool rightY, const Axis &zAxis, bool leftZ, bool rightZ, const char *functionLabel=0)
	LinInterpolatedTableND (const Axis &xAxis, bool leftX, bool rightX, const Axis &yAxis, bool leftY, bool rightY, const Axis &zAxis, bool leftZ, bool rightZ, const Axis &tAxis, bool leftT, bool rightT, const char *functionLabel=0)
	LinInterpolatedTableND (const Axis &xAxis, bool leftX, bool rightX, const Axis &yAxis, bool leftY, bool rightY, const Axis &zAxis, bool leftZ, bool rightZ, const Axis &tAxis, bool leftT, bool rightT, const Axis &vAxis, bool leftV, bool rightV, const char *functionLabel=0)
template<class Num2 >
	LinInterpolatedTableND (const LinInterpolatedTableND< Num2, Axis > &)
bool	operator!= (const LinInterpolatedTableND &r) const
Numeric	operator() (const double *point, unsigned dim) const
bool	operator== (const LinInterpolatedTableND &) const
void	setFunctionLabel (const char *newlabel)
Numeric	operator() (const double &x0) const
Numeric	operator() (const double &x0, const double &x1) const
Numeric	operator() (const double &x0, const double &x1, const double &x2) const
Numeric	operator() (const double &x0, const double &x1, const double &x2, const double &x3) const
Numeric	operator() (const double &x0, const double &x1, const double &x2, const double &x3, const double &x4) const
unsigned	dim () const
const std::vector< Axis > &	axes () const
const Axis &	axis (const unsigned i) const
unsigned long	length () const
bool	leftInterpolationLinear (unsigned i) const
bool	rightInterpolationLinear (unsigned i) const
std::vector< std::pair< bool, bool > >	interpolationType () const
const std::string &	functionLabel () const
const ArrayND< Numeric > &	table () const
ArrayND< Numeric > &	table ()
gs::ClassId	classId () const
bool	write (std::ostream &of) const

Static Public Member Functions
static const char *	classname ()
static LinInterpolatedTableND *	read (const gs::ClassId &id, std::istream &in)
static unsigned	version ()

Private Member Functions
bool	allConstInterpolated () const
	LinInterpolatedTableND ()
	LinInterpolatedTableND (const ArrayND< Numeric > &data, const std::vector< Axis > &axes, const char *leftInterpolation, const char *rightInterpolation, const std::string &label)

Static Private Member Functions
template<class Functor1 >
static void	invert1DResponse (const ArrayND< Numeric > &fromSlice, const Axis &fromAxis, const Axis &toAxis, bool newLeftLinear, bool newRightLinear, Functor1 invg, const double *rawx, const double *rawf, double *workspace, ArrayND< Numeric > *toSlice)
template<class Functor1 >
static double	solveForRatioArg (double xmin, double xmax, double rmin, double rmax, double fval, Functor1 invg)

Private Attributes
bool	allConstInterpolated_
std::vector< Axis >	axes_
ArrayND< Numeric >	data_
unsigned	dim_
std::string	functionLabel_
char	leftInterpolationLinear_ [CHAR_BIT *sizeof(unsigned long)]
char	rightInterpolationLinear_ [CHAR_BIT *sizeof(unsigned long)]

Friends
template<typename Num2 , typename Axis2 >
class	LinInterpolatedTableND

Detailed Description

template<class Numeric, class Axis = UniformAxis>
class npstat::LinInterpolatedTableND< Numeric, Axis >

Template for multilinear interpolation/extrapolation of values provided on a rectangular coordinate grid. "Numeric" is the type stored in the table. "Axis" should be one of GridAxis, UniformAxis, or DualAxis classes or a user-provided class with a similar set of methods.

Definition at line 31 of file LinInterpolatedTableND.h.

Member Typedef Documentation

template<class Numeric, class Axis = UniformAxis>

typedef Axis npstat::LinInterpolatedTableND< Numeric, Axis >::axis_type

Definition at line 38 of file LinInterpolatedTableND.h.

template<class Numeric, class Axis = UniformAxis>

typedef Numeric npstat::LinInterpolatedTableND< Numeric, Axis >::value_type

Definition at line 37 of file LinInterpolatedTableND.h.

Constructor & Destructor Documentation

template<typename Numeric , class Axis >

npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND	(	const std::vector< Axis > &	axes,
		const std::vector< std::pair< bool, bool > > &	extrapolationType,
		const char *	functionLabel = 0
	)

Main constructor for arbitrary-dimensional interpolators.

"axes" are the axes of the rectangular coordinate grid.

In each pair provided by the "extrapolationType" argument, the first element of the pair specifies whether the extrapolation to negative infinity should be linear (if "true") or constant (if "false"). The second element of the pair specifies whether to extrapolate linearly to positive infinity.

"functionLabel" is an arbitrary string which can potentially be used by plotting programs and such.

Definition at line 566 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated(), npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, mps_fire::i, npstat::LinInterpolatedTableND< Numeric, Axis >::interpolationType(), npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_, and npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_.

        : data_(Private::makeTableShape(axes)),
          axes_(axes),
          functionLabel_(label ? label : ""),
          dim_(axes.size())
    {
        if (dim_ == 0 || dim_ >= CHAR_BIT*sizeof(unsigned long))
            throw npstat::NpstatInvalidArgument(
                "In npstat::LinInterpolatedTableND constructor: requested "
                "table dimensionality is not supported");
        if (dim_ != interpolationType.size())
            throw npstat::NpstatInvalidArgument(
                "In npstat::LinInterpolatedTableND constructor: "
                "incompatible number of interpolation specifications");
        for (unsigned i=0; i<dim_; ++i)
        {
            const std::pair<bool,bool>& pair(interpolationType[i]);
            leftInterpolationLinear_[i] = pair.first;
            rightInterpolationLinear_[i] = pair.second;
        }

        allConstInterpolated_ = allConstInterpolated();
    }

template<typename Numeric , class Axis >

npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND	(	const Axis &	xAxis,
		bool	leftX,
		bool	rightX,
		const char *	functionLabel = 0
	)

Convenience constructor for 1-d interpolators

Definition at line 747 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated(), npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated_, npstat::LinInterpolatedTableND< Numeric, Axis >::axes_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_, and npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_.

        : data_(Private::makeTableShape(xAxis)),
          functionLabel_(label ? label : ""),
          dim_(1U)
    {
        axes_.reserve(dim_);
        axes_.push_back(xAxis);

        leftInterpolationLinear_[0] = leftX;
        rightInterpolationLinear_[0] = rightX;

        allConstInterpolated_ = allConstInterpolated();
    }

template<typename Numeric , class Axis >

npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND	(	const Axis &	xAxis,
		bool	leftX,
		bool	rightX,
		const Axis &	yAxis,
		bool	leftY,
		bool	rightY,
		const char *	functionLabel = 0
	)

Convenience constructor for 2-d interpolators

Definition at line 724 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated(), npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated_, npstat::LinInterpolatedTableND< Numeric, Axis >::axes_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, mps_fire::i, npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_, and npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_.

        : data_(Private::makeTableShape(xAxis, yAxis)),
          functionLabel_(label ? label : ""),
          dim_(2U)
    {
        axes_.reserve(dim_);
        axes_.push_back(xAxis);
        axes_.push_back(yAxis);

        unsigned i = 0;
        leftInterpolationLinear_[i] = leftX;
        rightInterpolationLinear_[i++] = rightX;
        leftInterpolationLinear_[i] = leftY;
        rightInterpolationLinear_[i++] = rightY;
        assert(i == dim_);

        allConstInterpolated_ = allConstInterpolated();
    }

template<typename Numeric , class Axis >

npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND	(	const Axis &	xAxis,
		bool	leftX,
		bool	rightX,
		const Axis &	yAxis,
		bool	leftY,
		bool	rightY,
		const Axis &	zAxis,
		bool	leftZ,
		bool	rightZ,
		const char *	functionLabel = 0
	)

Convenience constructor for 3-d interpolators

Definition at line 697 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated(), npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated_, npstat::LinInterpolatedTableND< Numeric, Axis >::axes_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, mps_fire::i, npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_, and npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_.

        : data_(Private::makeTableShape(xAxis, yAxis, zAxis)),
          functionLabel_(label ? label : ""),
          dim_(3U)
    {
        axes_.reserve(dim_);
        axes_.push_back(xAxis);
        axes_.push_back(yAxis);
        axes_.push_back(zAxis);

        unsigned i = 0;
        leftInterpolationLinear_[i] = leftX;
        rightInterpolationLinear_[i++] = rightX;
        leftInterpolationLinear_[i] = leftY;
        rightInterpolationLinear_[i++] = rightY;
        leftInterpolationLinear_[i] = leftZ;
        rightInterpolationLinear_[i++] = rightZ;
        assert(i == dim_);

        allConstInterpolated_ = allConstInterpolated();
    }

template<typename Numeric , class Axis >

npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND	(	const Axis &	xAxis,
		bool	leftX,
		bool	rightX,
		const Axis &	yAxis,
		bool	leftY,
		bool	rightY,
		const Axis &	zAxis,
		bool	leftZ,
		bool	rightZ,
		const Axis &	tAxis,
		bool	leftT,
		bool	rightT,
		const char *	functionLabel = 0
	)

Convenience constructor for 4-d interpolators

Definition at line 666 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated(), npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated_, npstat::LinInterpolatedTableND< Numeric, Axis >::axes_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, mps_fire::i, npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_, and npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_.

        : data_(Private::makeTableShape(xAxis, yAxis, zAxis, tAxis)),
          functionLabel_(label ? label : ""),
          dim_(4U)
    {
        axes_.reserve(dim_);
        axes_.push_back(xAxis);
        axes_.push_back(yAxis);
        axes_.push_back(zAxis);
        axes_.push_back(tAxis);

        unsigned i = 0;
        leftInterpolationLinear_[i] = leftX;
        rightInterpolationLinear_[i++] = rightX;
        leftInterpolationLinear_[i] = leftY;
        rightInterpolationLinear_[i++] = rightY;
        leftInterpolationLinear_[i] = leftZ;
        rightInterpolationLinear_[i++] = rightZ;
        leftInterpolationLinear_[i] = leftT;
        rightInterpolationLinear_[i++] = rightT;
        assert(i == dim_);

        allConstInterpolated_ = allConstInterpolated();
    }

template<typename Numeric , class Axis >

npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND	(	const Axis &	xAxis,
		bool	leftX,
		bool	rightX,
		const Axis &	yAxis,
		bool	leftY,
		bool	rightY,
		const Axis &	zAxis,
		bool	leftZ,
		bool	rightZ,
		const Axis &	tAxis,
		bool	leftT,
		bool	rightT,
		const Axis &	vAxis,
		bool	leftV,
		bool	rightV,
		const char *	functionLabel = 0
	)

Convenience constructor for 5-d interpolators

Definition at line 631 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated(), npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated_, npstat::LinInterpolatedTableND< Numeric, Axis >::axes_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, mps_fire::i, npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_, and npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_.

        : data_(Private::makeTableShape(xAxis, yAxis, zAxis, tAxis, vAxis)),
          functionLabel_(label ? label : ""),
          dim_(5U)
    {
        axes_.reserve(dim_);
        axes_.push_back(xAxis);
        axes_.push_back(yAxis);
        axes_.push_back(zAxis);
        axes_.push_back(tAxis);
        axes_.push_back(vAxis);

        unsigned i = 0;
        leftInterpolationLinear_[i] = leftX;
        rightInterpolationLinear_[i++] = rightX;
        leftInterpolationLinear_[i] = leftY;
        rightInterpolationLinear_[i++] = rightY;
        leftInterpolationLinear_[i] = leftZ;
        rightInterpolationLinear_[i++] = rightZ;
        leftInterpolationLinear_[i] = leftT;
        rightInterpolationLinear_[i++] = rightT;
        leftInterpolationLinear_[i] = leftV;
        rightInterpolationLinear_[i++] = rightV;
        assert(i == dim_);

        allConstInterpolated_ = allConstInterpolated();
    }

template<typename Numeric , class Axis >

template<class Num2 >

npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND

(

const LinInterpolatedTableND< Num2, Axis > &

r

)

Converting copy constructor from interpolator with another storage type

Definition at line 595 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, mps_fire::i, npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_, and npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_.

        : data_(r.data_),
          axes_(r.axes_),
          functionLabel_(r.functionLabel_),
          dim_(r.dim_),
          allConstInterpolated_(r.allConstInterpolated_)
    {
        for (unsigned i=0; i<dim_; ++i)
        {
            leftInterpolationLinear_[i] = r.leftInterpolationLinear_[i];
            rightInterpolationLinear_[i] = r.rightInterpolationLinear_[i];
        }
    }

template<class Numeric, class Axis = UniformAxis>

npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND ( )

private

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::invertRatioResponse(), npstat::LinInterpolatedTableND< Numeric, Axis >::invertWRTAxis(), npstat::LinInterpolatedTableND< Numeric, Axis >::read(), and npstat::LinInterpolatedTableND< Numeric, Axis >::version().

template<typename Numeric , class Axis >

npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND ( const ArrayND< Numeric > &  data, const std::vector< Axis > &  axes, const char *  leftInterpolation, const char *  rightInterpolation, const std::string &  label  )

private

Definition at line 611 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated(), npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, mps_fire::i, npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_, and npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_.

        : data_(data),
          axes_(axes),
          functionLabel_(label),
          dim_(data.rank())
    {
        for (unsigned i=0; i<dim_; ++i)
        {
            leftInterpolationLinear_[i] = leftInterpolation[i];
            rightInterpolationLinear_[i] = rightInterpolation[i];
        }
        allConstInterpolated_ = allConstInterpolated();
    }

Member Function Documentation

template<class Numeric , class Axis >

bool npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated ( ) const

private

Definition at line 444 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, mps_fire::i, npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_, and npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND(), and npstat::LinInterpolatedTableND< Numeric, Axis >::version().

    {
        for (unsigned i=0; i<dim_; ++i)
            if (leftInterpolationLinear_[i] || rightInterpolationLinear_[i])
                return false;
        return true;
    }

template<class Numeric, class Axis = UniformAxis>

const std::vector<Axis>& npstat::LinInterpolatedTableND< Numeric, Axis >::axes ( ) const

inline

Definition at line 118 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::axes_.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::read(), and npstat::LinInterpolatedTableND< Numeric, Axis >::version().

{return axes_;}

template<class Numeric, class Axis = UniformAxis>

const Axis& npstat::LinInterpolatedTableND< Numeric, Axis >::axis ( const unsigned  i ) const

inline

Definition at line 119 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::axes_.

            {return axes_.at(i);}

template<class Numeric, class Axis = UniformAxis>

gs::ClassId npstat::LinInterpolatedTableND< Numeric, Axis >::classId ( ) const

inline

Definition at line 205 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::classname(), and npstat::LinInterpolatedTableND< Numeric, Axis >::write().

Referenced by npstat::StorableInterpolationFunctor< Numeric, Axis, Converter >::write().

{return gs::ClassId(*this);}

template<typename Numeric , class Axis >

const char * npstat::LinInterpolatedTableND< Numeric, Axis >::classname ( )

static

Definition at line 471 of file LinInterpolatedTableND.h.

References AlCaHLTBitMon_QueryRunRegistry::string.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::classId().

    {
        static const std::string myClass(gs::template_class_name<Numeric,Axis>(
                                           "npstat::LinInterpolatedTableND"));
        return myClass.c_str();
    }

template<class Numeric, class Axis = UniformAxis>

unsigned npstat::LinInterpolatedTableND< Numeric, Axis >::dim ( ) const

inline

Examine interpolator contents

Definition at line 117 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::dim_.

Referenced by npstat::StorableInterpolationFunctor< Numeric, Axis, Converter >::minDim(), npstat::LinInterpolatedTableND< Numeric, Axis >::read(), and npstat::LinInterpolatedTableND< Numeric, Axis >::table().

{return dim_;}

template<class Numeric, class Axis = UniformAxis>

const std::string& npstat::LinInterpolatedTableND< Numeric, Axis >::functionLabel ( ) const

inline

Definition at line 125 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::functionLabel_.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::setFunctionLabel().

            {return functionLabel_;}

template<typename Numeric , class Axis >

void npstat::LinInterpolatedTableND< Numeric, Axis >::getCoords	(	unsigned long	linearIndex,
		double *	coords,
		unsigned	coordsBufferSize
	)		const

Convenience function for getting coordinates of the grid points

Definition at line 920 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::axes_, npstat::ArrayND< Numeric, StackLen, StackDim >::convertLinearIndex(), l1t::coordinate, npstat::LinInterpolatedTableND< Numeric, Axis >::data_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, mps_fire::i, and diffTreeTool::index.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::table().

    {
        if (coordsBufferSize < dim_) throw npstat::NpstatInvalidArgument(
            "In LinInterpolatedTableND::getCoords: "
            "insufficient buffer size");
        assert(coords);
        unsigned index[CHAR_BIT*sizeof(unsigned long)];
        data_.convertLinearIndex(linearIndex, index, dim_);
        for (unsigned i=0; i<dim_; ++i)
            coords[i] = axes_[i].coordinate(index[i]);
    }

template<typename Numeric , class Axis >

std::vector< std::pair< bool, bool > > npstat::LinInterpolatedTableND< Numeric, Axis >::interpolationType

(

)

const

Definition at line 555 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, mps_fire::i, npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_, and npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::invertRatioResponse(), npstat::LinInterpolatedTableND< Numeric, Axis >::invertWRTAxis(), npstat::LinInterpolatedTableND< Numeric, Axis >::length(), and npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND().

    {
        std::vector<std::pair<bool,bool> > vec;
        vec.reserve(dim_);
        for (unsigned i=0; i<dim_; ++i)
            vec.push_back(std::pair<bool, bool>(leftInterpolationLinear_[i],
                                                rightInterpolationLinear_[i]));
        return vec;
    }

template<typename Numeric , class Axis >

template<class Functor1 >

void npstat::LinInterpolatedTableND< Numeric, Axis >::invert1DResponse ( const ArrayND< Numeric > &  fromSlice, const Axis &  fromAxis, const Axis &  toAxis, bool  newLeftLinear, bool  newRightLinear, Functor1  invg, const double *  rawx, const double *  rawf, double *  workspace, ArrayND< Numeric > *  toSlice  )

staticprivate

Definition at line 1168 of file LinInterpolatedTableND.h.

References npstat::ArrayND< Numeric, StackLen, StackDim >::data(), mps_fire::i, npstat::ArrayND< Numeric, StackLen, StackDim >::length(), npstat::ArrayND< Numeric, StackLen, StackDim >::rank(), npstat::LinInterpolatedTableND< Numeric, Axis >::solveForRatioArg(), mitigatedMETSequence_cff::U, and x().

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::invertRatioResponse().

    {
        assert(toSlice);
        assert(fromSlice.rank() == 1U);
        assert(toSlice->rank() == 1U);

        const Numeric zero = Numeric();
        const Numeric* fromData = fromSlice.data();
        const unsigned fromLen = fromSlice.length();
        assert(fromLen > 1U);
        assert(fromLen == fromAxis.nCoords());
        Numeric* toD = const_cast<Numeric*>(toSlice->data());
        const unsigned nAxisPoints = toAxis.nCoords();
        assert(toSlice->length() == nAxisPoints);

        for (unsigned i=0; i<fromLen; ++i)
        {
            if (fromData[i] <= zero) throw npstat::NpstatDomainError(
                "In LinInterpolatedTableND::invert1DResponse: "
                "non-positive response found. This ratio "
                "response table is not invertible.");
            workspace[i] = rawx[i]*fromData[i];
        }

        const double yfirst = workspace[0];
        const double ylast = workspace[fromLen - 1U];

        bool adjustZero = false;
        unsigned nBelow = 0;
        for (unsigned ipt=0; ipt<nAxisPoints; ++ipt)
        {
            const double y = rawf[ipt];
            unsigned i0 = 0;
            bool solve = false;
            if (y == 0.0)
            {
                assert(ipt == 0U);
                if (newLeftLinear)
                    adjustZero = true;
            }
            else if (y <= yfirst)
            {
                ++nBelow;
                solve = newLeftLinear;
            }
            else if (y >= ylast)
            {
                solve = newRightLinear;
                i0 = solve ? fromLen-2 : fromLen-1;
            }
            else
            {
                solve = true;
                i0 = static_cast<unsigned>(std::lower_bound(
                         workspace,workspace+fromLen,y) - workspace) - 1U;
            }
            if (solve)
            {
                const double x = solveForRatioArg(fromAxis.coordinate(i0),
                                                  fromAxis.coordinate(i0+1),
                                                  fromData[i0], fromData[i0+1],
                                                  y, invg);
                toD[ipt] = invg(x)/y;
            }
            else
                toD[ipt] = 1.0/fromData[i0];
        }
        if (adjustZero && nBelow)
            toD[0] = toD[1];
    }

template<class Numeric, class Axis = UniformAxis>

template<class Functor1 , class Functor2 >

std::unique_ptr<LinInterpolatedTableND> npstat::LinInterpolatedTableND< Numeric, Axis >::invertRatioResponse	(	unsigned	axisNumber,
		const Axis &	replacementAxis,
		bool	newAxisLeftLinear,
		bool	newAxisRightLinear,
		Functor1	invg,
		Functor2	invh,
		const char *	functionLabel = 0
	)		const

This method inverts the ratio response. That is, we assume that the table encodes r(x) for some function f(x) = x*r(x). We also assume that the original axis does not represent x directly – instead, axis coordinates are given by g(x) (in practice, g is often the natural log). We will also assume that the new axis is not going to represent f(x) directly – it will be h(f(x)) instead. The functors "invg" and "invh" below must do the inverse: taking the axes coordinates to the actual values of x and f(x). Both "invg" and "invh" must be monotonously increasing functions. The code assumes that x*r(x) -> 0 when x->0 (that is, r(x) is bounded at 0) and it also assumes (but does not check explicitly) that x*r(x) is monotonously increasing with x.

The returned interpolation table encodes the values of x/f(x). Of course, they are just 1/r(x), but the trick is to be able to look them up quickly as a function of h(f(x)). Naturally, this whole operation is meaningful only in case "Numeric" type is either float or double.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::setFunctionLabel().

template<class Numeric, class Axis = UniformAxis>

template<class Functor1 , class Functor2 >

std::unique_ptr<LinInterpolatedTableND<Numeric,Axis> > npstat::LinInterpolatedTableND< Numeric, Axis >::invertRatioResponse	(	const unsigned	axisNumber,
		const Axis &	replacementAxis,
		const bool	leftLinear,
		const bool	rightLinear,
		Functor1	invg,
		Functor2	invh,
		const char *	functionLabel
	)		const

Definition at line 827 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::axes_, KineDebug3::count(), npstat::LinInterpolatedTableND< Numeric, Axis >::data_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, npstat::ArrayND< Numeric, StackLen, StackDim >::exportSlice(), f, mps_fire::i, npstat::LinInterpolatedTableND< Numeric, Axis >::interpolationType(), npstat::LinInterpolatedTableND< Numeric, Axis >::invert1DResponse(), npstat::ArrayNDScanner::isValid(), npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND(), npstat::ArrayND< Numeric, StackLen, StackDim >::span(), mitigatedMETSequence_cff::U, and x().

    {
        if (axisNumber >= dim_)
            throw npstat::NpstatOutOfRange(
                "In npstat::LinInterpolatedTableND::invertRatioResponse: "
                "axis number is out of range");

        // Generate the new set of axes
        std::vector<Axis> newAxes(axes_);
        newAxes[axisNumber] = replacementAxis;

        std::vector<std::pair<bool,bool> > iType(interpolationType());
        iType[axisNumber] = std::pair<bool,bool>(leftLinear, rightLinear);

        // Transform the original axis to the raw x values
        const Axis& oldAxis(axes_[axisNumber]);
        std::vector<double> rawx;
        const unsigned nCoords = oldAxis.nCoords();
        rawx.reserve(nCoords);
        for (unsigned i=0; i<nCoords; ++i)
        {
            const double x = invg(oldAxis.coordinate(i));
            if (x < 0.0)
                throw npstat::NpstatInvalidArgument(
                    "In npstat::LinInterpolatedTableND::invertRatioResponse: "
                    "invalid original axis definition (negative transformed "
                    "coordinate)");
            rawx.push_back(x);
        }

        // Transform the new axis to the raw f(x) values
        std::vector<double> rawf;
        const unsigned nFuncs = replacementAxis.nCoords();
        rawf.reserve(nFuncs);
        for (unsigned i=0; i<nFuncs; ++i)
        {
            const double f = invh(replacementAxis.coordinate(i));
            if (f < 0.0)
                throw npstat::NpstatInvalidArgument(
                    "In npstat::LinInterpolatedTableND::invertRatioResponse: "
                    "invalid new axis definition (negative transformed "
                    "coordinate)");
            rawf.push_back(f);
        }

        // Workspace needed for the inversion code
        std::vector<double> workspace(nCoords);

        // Create the new table
        CPP11_auto_ptr<LinInterpolatedTableND> pTable(
            new LinInterpolatedTableND(newAxes, iType, functionLabel));

        if (dim_ > 1U)
        {
            // Prepare array slices
            unsigned sliceIndex[CHAR_BIT*sizeof(unsigned long)];
            unsigned fixedIndices[CHAR_BIT*sizeof(unsigned long)];
            unsigned count = 0;
            for (unsigned i=0; i<dim_; ++i)
                if (i != axisNumber)
                {
                    sliceIndex[count] = data_.span(i);
                    fixedIndices[count++] = i;
                }
            ArrayND<Numeric> parentSlice(data_, fixedIndices, count);
            ArrayND<Numeric> dauSlice(pTable->data_, fixedIndices, count);

            // Cycle over the slices
            for (ArrayNDScanner scan(sliceIndex,count); scan.isValid(); ++scan)
            {
                scan.getIndex(sliceIndex, count);
                data_.exportSlice(&parentSlice, fixedIndices,
                                  sliceIndex, count);
                invert1DResponse(parentSlice, oldAxis,
                                 replacementAxis, leftLinear, rightLinear,
                                 invg, &rawx[0], &rawf[0], &workspace[0],
                                 &dauSlice);
                pTable->data_.importSlice(dauSlice, fixedIndices,
                                          sliceIndex, count);
            }
        }
        else
            invert1DResponse(data_, oldAxis, replacementAxis, leftLinear,
                             rightLinear, invg, &rawx[0], &rawf[0],
                             &workspace[0], &pTable->data_);
        return pTable;
    }

template<class Numeric, class Axis = UniformAxis>

template<typename ConvertibleToUnsigned >

std::unique_ptr<LinInterpolatedTableND> npstat::LinInterpolatedTableND< Numeric, Axis >::invertWRTAxis	(	ConvertibleToUnsigned	axisNumber,
		const Axis &	replacementAxis,
		bool	newAxisLeftLinear,
		bool	newAxisRightLinear,
		const char *	functionLabel = 0
	)		const

Invert the function w.r.t. the variable represented by one of the axes. The function values must change monotonously along the chosen axis. Note that this operation is meaningful only in case "Numeric" type is either float or double.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::setFunctionLabel().

template<class Numeric, class Axis = UniformAxis>

template<typename ConvertibleToUnsigned >

std::unique_ptr<LinInterpolatedTableND<Numeric,Axis> > npstat::LinInterpolatedTableND< Numeric, Axis >::invertWRTAxis	(	const ConvertibleToUnsigned	axisNumC,
		const Axis &	replacementAxis,
		const bool	leftLinear,
		const bool	rightLinear,
		const char *	functionLabel
	)		const

Definition at line 766 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::axes_, KineDebug3::count(), npstat::LinInterpolatedTableND< Numeric, Axis >::data_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, npstat::ArrayND< Numeric, StackLen, StackDim >::exportSlice(), mps_fire::i, npstat::LinInterpolatedTableND< Numeric, Axis >::interpolationType(), npstat::ArrayNDScanner::isValid(), npstat::Private::lind_invert1DSlice(), npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND(), npstat::ArrayND< Numeric, StackLen, StackDim >::span(), and mitigatedMETSequence_cff::U.

    {
        const unsigned axisNumber = static_cast<unsigned>(axisNumC);

        if (axisNumber >= dim_)
            throw npstat::NpstatOutOfRange(
                "In npstat::LinInterpolatedTableND::invertAxis: "
                "axis number is out of range");

        // Generate the new set of axes
        std::vector<Axis> newAxes(axes_);
        newAxes[axisNumber] = replacementAxis;

        std::vector<std::pair<bool,bool> > iType(interpolationType());
        iType[axisNumber] = std::pair<bool,bool>(leftLinear, rightLinear);

        // Create the new table
        CPP11_auto_ptr<LinInterpolatedTableND> pTable(
            new LinInterpolatedTableND(newAxes, iType, functionLabel));

        if (dim_ > 1U)
        {
            // Prepare array slices
            unsigned sliceIndex[CHAR_BIT*sizeof(unsigned long)];
            unsigned fixedIndices[CHAR_BIT*sizeof(unsigned long)];
            unsigned count = 0;
            for (unsigned i=0; i<dim_; ++i)
                if (i != axisNumber)
                {
                    sliceIndex[count] = data_.span(i);
                    fixedIndices[count++] = i;
                }
            ArrayND<Numeric> parentSlice(data_, fixedIndices, count);
            ArrayND<Numeric> dauSlice(pTable->data_, fixedIndices, count);

            // Cycle over the slices
            for (ArrayNDScanner scan(sliceIndex,count); scan.isValid(); ++scan)
            {
                scan.getIndex(sliceIndex, count);
                data_.exportSlice(&parentSlice, fixedIndices,
                                  sliceIndex, count);
                Private::lind_invert1DSlice(
                    parentSlice, axes_[axisNumber], replacementAxis,
                    leftLinear, rightLinear, &dauSlice);
                pTable->data_.importSlice(dauSlice, fixedIndices,
                                          sliceIndex, count);
            }
        }
        else
            Private::lind_invert1DSlice(
                data_, axes_[0], replacementAxis,
                leftLinear, rightLinear, &pTable->data_);
        return pTable;
    }

template<typename Numeric , class Axis >

bool npstat::LinInterpolatedTableND< Numeric, Axis >::isUniformlyBinned

(

)

const

This method returns "true" if the method isUniform() of each interpolator axis returns "true"

Definition at line 545 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::axes_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, and mps_fire::i.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::table().

    {
        for (unsigned i=0; i<dim_; ++i)
            if (!axes_[i].isUniform())
                return false;
        return true;
    }

template<typename Numeric , class Axis >

bool npstat::LinInterpolatedTableND< Numeric, Axis >::isWithinLimits	(	const double *	point,
		unsigned	dim
	)		const

This method will return "true" if the point is inside the grid limits or on the boundary

Definition at line 935 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::axes_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, mps_fire::i, hpstanc_transforms::max, and min().

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::table().

    {
        if (len != dim_)
            throw npstat::NpstatInvalidArgument(
                "In npstat::LinInterpolatedTableND::isWithinLimits: "
                "incompatible point dimensionality");
        assert(point);

        for (unsigned i=0; i<dim_; ++i)
            if (point[i] < axes_[i].min() || point[i] > axes_[i].max())
                return false;
        return true;
    }

template<typename Numeric , class Axis >

bool npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear

(

unsigned

i

)

const

Definition at line 525 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, mps_fire::i, and npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::length().

    {
        if (i >= dim_) throw npstat::NpstatOutOfRange(
            "In npstat::LinInterpolatedTableND::leftInterpolationLinear: "
            "index out of range");
        return leftInterpolationLinear_[i];
    }

template<class Numeric, class Axis = UniformAxis>

unsigned long npstat::LinInterpolatedTableND< Numeric, Axis >::length ( ) const

inline

Definition at line 121 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::data_, mps_fire::i, npstat::LinInterpolatedTableND< Numeric, Axis >::interpolationType(), npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear(), npstat::ArrayND< Numeric, StackLen, StackDim >::length(), and npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear().

{return data_.length();}

template<class Numeric, class Axis = UniformAxis>

bool npstat::LinInterpolatedTableND< Numeric, Axis >::operator!= ( const LinInterpolatedTableND< Numeric, Axis > &  r ) const

inline

Logical negation of operator==

Definition at line 200 of file LinInterpolatedTableND.h.

References alignCSCRings::r.

            {return !(*this == r);}

template<typename Numeric , class Axis >

Numeric npstat::LinInterpolatedTableND< Numeric, Axis >::operator()	(	const double *	point,
		unsigned	dim
	)		const

Basic interpolation result. Argument point dimensionality must be compatible with the interpolator dimensionality.

Definition at line 951 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated_, npstat::LinInterpolatedTableND< Numeric, Axis >::axes_, npstat::ArrayND< Numeric, StackLen, StackDim >::data(), npstat::LinInterpolatedTableND< Numeric, Axis >::data_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, mps_fire::i, npstat::ArrayND< Numeric, StackLen, StackDim >::interpolate1(), npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_, linear(), hpstanc_transforms::max, min(), npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_, npstat::ArrayND< Numeric, StackLen, StackDim >::strides(), mitigatedMETSequence_cff::U, and w.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::operator()().

    {
        typedef typename ProperDblFromCmpl<Numeric>::type proper_double;

        if (len != dim_)
            throw npstat::NpstatInvalidArgument(
                "In npstat::LinInterpolatedTableND::operator(): "
                "incompatible point dimensionality");
        assert(point);

        bool interpolateArray = true;
        if (!allConstInterpolated_)
            for (unsigned i=0; i<dim_; ++i)
                if ((leftInterpolationLinear_[i] && point[i] < axes_[i].min()) ||
                    (rightInterpolationLinear_[i] && point[i] > axes_[i].max()))
                {
                    interpolateArray = false;
                    break;
                }

        if (interpolateArray)
        {
            // Translate coordinates into the array system and
            // simply use the ArrayND interpolation facilities
            double buf[CHAR_BIT*sizeof(unsigned long)];
            for (unsigned i=0; i<dim_; ++i)
            {
                const std::pair<unsigned,double>& pair = 
                    axes_[i].getInterval(point[i]);
                buf[i] = pair.first + 1U - pair.second;
            }
            return data_.interpolate1(buf, dim_);
        }
        else
        {
            unsigned ix[CHAR_BIT*sizeof(unsigned long)];
            double weight[CHAR_BIT*sizeof(unsigned long)];
            for (unsigned i=0; i<dim_; ++i)
            {
                const bool linear = (leftInterpolationLinear_[i] && 
                                     point[i] < axes_[i].min()) ||
                                    (rightInterpolationLinear_[i] && 
                                     point[i] > axes_[i].max());
                const std::pair<unsigned,double>& pair = linear ?
                    axes_[i].linearInterval(point[i]) :
                    axes_[i].getInterval(point[i]);
                ix[i] = pair.first;
                weight[i] = pair.second;
            }

            Numeric sum = Numeric();
            const unsigned long maxcycle = 1UL << dim_;
            const unsigned long* strides = data_.strides();
            const Numeric* dat = data_.data();
            for (unsigned long icycle=0UL; icycle<maxcycle; ++icycle)
            {
                double w = 1.0;
                unsigned long icell = 0UL;
                for (unsigned i=0; i<dim_; ++i)
                {
                    if (icycle & (1UL << i))
                    {
                        w *= (1.0 - weight[i]);
                        icell += strides[i]*(ix[i] + 1U);
                    }
                    else
                    {
                        w *= weight[i];
                        icell += strides[i]*ix[i];
                    }
                }
                sum += dat[icell]*static_cast<proper_double>(w);
            }
            return sum;
        }
    }

template<typename Numeric , class Axis >

Numeric npstat::LinInterpolatedTableND< Numeric, Axis >::operator()

(

const double &

x0

)

const

Convenience function for low-dimensional interpolators

Definition at line 1030 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, npstat::LinInterpolatedTableND< Numeric, Axis >::operator()(), tmp, and mitigatedMETSequence_cff::U.

    {
        const unsigned nArgs = 1U;
        if (dim_ != nArgs) throw npstat::NpstatInvalidArgument(
            "In npstat::LinInterpolatedTableND::operator(): number of "
            "arguments, 1, is incompatible with the interpolator dimensionality");
        double tmp[nArgs];
        tmp[0] = x0;
        return operator()(tmp, nArgs);
    }

template<typename Numeric , class Axis >

Numeric npstat::LinInterpolatedTableND< Numeric, Axis >::operator()	(	const double &	x0,
		const double &	x1
	)		const

Definition at line 1043 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, npstat::LinInterpolatedTableND< Numeric, Axis >::operator()(), tmp, and mitigatedMETSequence_cff::U.

    {
        const unsigned nArgs = 2U;
        if (dim_ != nArgs) throw npstat::NpstatInvalidArgument(
            "In npstat::LinInterpolatedTableND::operator(): number of "
            "arguments, 2, is incompatible with the interpolator dimensionality");
        double tmp[nArgs];
        tmp[0] = x0;
        tmp[1] = x1;
        return operator()(tmp, nArgs);
    }

template<typename Numeric , class Axis >

Numeric npstat::LinInterpolatedTableND< Numeric, Axis >::operator()	(	const double &	x0,
		const double &	x1,
		const double &	x2
	)		const

Definition at line 1057 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, npstat::LinInterpolatedTableND< Numeric, Axis >::operator()(), tmp, and mitigatedMETSequence_cff::U.

    {
        const unsigned nArgs = 3U;
        if (dim_ != nArgs) throw npstat::NpstatInvalidArgument(
            "In npstat::LinInterpolatedTableND::operator(): number of "
            "arguments, 3, is incompatible with the interpolator dimensionality");
        double tmp[nArgs];
        tmp[0] = x0;
        tmp[1] = x1;
        tmp[2] = x2;
        return operator()(tmp, nArgs);
    }

template<typename Numeric , class Axis >

Numeric npstat::LinInterpolatedTableND< Numeric, Axis >::operator()	(	const double &	x0,
		const double &	x1,
		const double &	x2,
		const double &	x3
	)		const

Definition at line 1072 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, npstat::LinInterpolatedTableND< Numeric, Axis >::operator()(), tmp, and mitigatedMETSequence_cff::U.

    {
        const unsigned nArgs = 4U;
        if (dim_ != nArgs) throw npstat::NpstatInvalidArgument(
            "In npstat::LinInterpolatedTableND::operator(): number of "
            "arguments, 4, is incompatible with the interpolator dimensionality");
        double tmp[nArgs];
        tmp[0] = x0;
        tmp[1] = x1;
        tmp[2] = x2;
        tmp[3] = x3;
        return operator()(tmp, nArgs);
    }

template<typename Numeric , class Axis >

Numeric npstat::LinInterpolatedTableND< Numeric, Axis >::operator()	(	const double &	x0,
		const double &	x1,
		const double &	x2,
		const double &	x3,
		const double &	x4
	)		const

Definition at line 1089 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, npstat::LinInterpolatedTableND< Numeric, Axis >::operator()(), tmp, and mitigatedMETSequence_cff::U.

    {
        const unsigned nArgs = 5U;
        if (dim_ != nArgs) throw npstat::NpstatInvalidArgument(
            "In npstat::LinInterpolatedTableND::operator(): number of "
            "arguments, 5, is incompatible with the interpolator dimensionality");
        double tmp[nArgs];
        tmp[0] = x0;
        tmp[1] = x1;
        tmp[2] = x2;
        tmp[3] = x3;
        tmp[4] = x4;
        return operator()(tmp, nArgs);
    }

template<class Numeric , class Axis >

bool npstat::LinInterpolatedTableND< Numeric, Axis >::operator==

(

const LinInterpolatedTableND< Numeric, Axis > &

r

)

const

Comparison for equality

Definition at line 453 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::axes_, npstat::LinInterpolatedTableND< Numeric, Axis >::data_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, npstat::LinInterpolatedTableND< Numeric, Axis >::functionLabel_, mps_fire::i, npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_, and npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::setFunctionLabel().

    {
        if (dim_ != r.dim_)
            return false;
        for (unsigned i=0; i<dim_; ++i)
        {
            if (leftInterpolationLinear_[i] != r.leftInterpolationLinear_[i])
                return false;
            if (rightInterpolationLinear_[i] != r.rightInterpolationLinear_[i])
                return false;
        }
        return data_ == r.data_ && 
               axes_ == r.axes_ &&
               functionLabel_ == r.functionLabel_;
    }

template<typename Numeric , class Axis >

LinInterpolatedTableND< Numeric, Axis > * npstat::LinInterpolatedTableND< Numeric, Axis >::read ( const gs::ClassId &  id, std::istream &  in  )

static

Definition at line 495 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::axes(), data, npstat::LinInterpolatedTableND< Numeric, Axis >::dim(), diffTwoXMLs::label, npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND(), npstat::ArrayND< Numeric, StackLen, StackDim >::rank(), npstat::ArrayND< Numeric, StackLen, StackDim >::restore(), and AlCaHLTBitMon_QueryRunRegistry::string.

Referenced by edmIntegrityCheck.PublishToFileSystem::get(), npstat::StorableInterpolationFunctor< Numeric, Axis, Converter >::read(), and npstat::LinInterpolatedTableND< Numeric, Axis >::version().

    {
        static const gs::ClassId current(
            gs::ClassId::makeId<LinInterpolatedTableND<Numeric,Axis> >());
        current.ensureSameId(id);

        gs::ClassId ida(in, 1);
        ArrayND<Numeric> data;
        ArrayND<Numeric>::restore(ida, in, &data);
        std::vector<Axis> axes;
        gs::read_heap_obj_vector_as_placed(in, &axes);
        const unsigned dim = axes.size();
        if (dim > CHAR_BIT*sizeof(unsigned long) || data.rank() != dim)
            throw gs::IOInvalidData(
                "In npstat::LinInterpolatedTableND::read: "
                "read back invalid dimensionality");
        char leftInterpolation[CHAR_BIT*sizeof(unsigned long)];
        gs::read_pod_array(in, leftInterpolation, dim);
        char rightInterpolation[CHAR_BIT*sizeof(unsigned long)];
        gs::read_pod_array(in, rightInterpolation, dim);
        std::string label;
        gs::read_pod(in, &label);
        if (in.fail()) throw gs::IOReadFailure(
            "In npstat::LinInterpolatedTableND::read: input stream failure");
        return new LinInterpolatedTableND(
            data, axes, leftInterpolation, rightInterpolation, label);
    }

template<typename Numeric , class Axis >

bool npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear

(

unsigned

i

)

const

Definition at line 535 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, mps_fire::i, and npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::length().

    {
        if (i >= dim_) throw npstat::NpstatOutOfRange(
            "In npstat::LinInterpolatedTableND::rightInterpolationLinear: "
            "index out of range");
        return rightInterpolationLinear_[i];
    }

template<class Numeric, class Axis = UniformAxis>

void npstat::LinInterpolatedTableND< Numeric, Axis >::setFunctionLabel ( const char *  newlabel )

inline

Modifier for the function label

Definition at line 152 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::functionLabel(), npstat::LinInterpolatedTableND< Numeric, Axis >::functionLabel_, npstat::LinInterpolatedTableND< Numeric, Axis >::invertRatioResponse(), npstat::LinInterpolatedTableND< Numeric, Axis >::invertWRTAxis(), and npstat::LinInterpolatedTableND< Numeric, Axis >::operator==().

            {functionLabel_ = newlabel ? newlabel : "";}

template<typename Numeric , class Axis >

template<class Functor1 >

double npstat::LinInterpolatedTableND< Numeric, Axis >::solveForRatioArg ( double  xmin, double  xmax, double  rmin, double  rmax, double  fval, Functor1  invg  )

staticprivate

Definition at line 1108 of file LinInterpolatedTableND.h.

References funct::abs(), npstat::Private::lind_interpolateSimple(), mitigatedMETSequence_cff::U, TrackerOfflineValidation_Dqm_cff::xmax, and TrackerOfflineValidation_Dqm_cff::xmin.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::invert1DResponse().

    {
        // Find two values of x so that f(x0) <= fval <= f(x1)
        double x0 = xmin;
        double x1 = xmax;
        double fmin = invg(xmin)*rmin;
        double fmax = invg(xmax)*rmax;
        const double step = xmax - xmin;
        assert(fmin < fmax);
        assert(step > 0.0);

        unsigned stepcount = 0;
        const unsigned maxSteps = 1000U;
        for (double stepfactor = 1.0; (fval < fmin || fval > fmax) &&
                 stepcount < maxSteps; stepfactor *= 2.0, ++stepcount)
            if (fval < fmin)
            {
                x1 = x0;
                fmax = fmin;
                x0 -= stepfactor*step;
                fmin = invg(x0)*Private::lind_interpolateSimple(
                    xmin, xmax, rmin, rmax, x0);
            }
            else
            {
                x0 = x1;
                fmin = fmax;
                x1 += stepfactor*step;
                fmax = invg(x1)*Private::lind_interpolateSimple(
                    xmin, xmax, rmin, rmax, x1);
            }
        if (stepcount == maxSteps) throw npstat::NpstatRuntimeError(
            "In LinInterpolatedTableND::solveForRatioArg: "
            "faled to bracket the root");

        assert(x1 >= x0);
        while ((x1 - x0)/(std::abs(x1) + std::abs(x0) + DBL_EPSILON) > 4.0*DBL_EPSILON)
        {
            const double xhalf = (x1 + x0)/2.0;
            const double fhalf = invg(xhalf)*Private::lind_interpolateSimple(
                xmin, xmax, rmin, rmax, xhalf);
            if (fval < fhalf)
            {
                x1 = xhalf;
                fmax = fhalf;
            }
            else
            {
                x0 = xhalf;
                fmin = fhalf;
            }    
        }
        return (x1 + x0)/2.0;
    }

template<class Numeric, class Axis = UniformAxis>

const ArrayND<Numeric>& npstat::LinInterpolatedTableND< Numeric, Axis >::table ( ) const

inline

Access the interpolator table data

Definition at line 131 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::data_.

Referenced by npstat::StorableInterpolationFunctor< Numeric, Axis, Converter >::table().

{return data_;}

template<class Numeric, class Axis = UniformAxis>

ArrayND<Numeric>& npstat::LinInterpolatedTableND< Numeric, Axis >::table ( )

inline

Definition at line 132 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::data_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim(), npstat::LinInterpolatedTableND< Numeric, Axis >::getCoords(), npstat::LinInterpolatedTableND< Numeric, Axis >::isUniformlyBinned(), npstat::LinInterpolatedTableND< Numeric, Axis >::isWithinLimits(), and point.

{return data_;}

template<class Numeric, class Axis = UniformAxis>

static unsigned npstat::LinInterpolatedTableND< Numeric, Axis >::version ( )

inlinestatic

Definition at line 210 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated(), npstat::LinInterpolatedTableND< Numeric, Axis >::axes(), data, recoMuon::in, diffTwoXMLs::label, npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND(), npstat::LinInterpolatedTableND< Numeric, Axis >::read(), and AlCaHLTBitMon_QueryRunRegistry::string.

Referenced by validation.Sample::datasetpattern(), and validation.Sample::filename().

{return 1;}

template<typename Numeric , class Axis >

bool npstat::LinInterpolatedTableND< Numeric, Axis >::write

(

std::ostream &

of

)

const

Definition at line 479 of file LinInterpolatedTableND.h.

References npstat::LinInterpolatedTableND< Numeric, Axis >::axes_, npstat::ArrayND< Numeric, StackLen, StackDim >::classId(), npstat::LinInterpolatedTableND< Numeric, Axis >::data_, npstat::LinInterpolatedTableND< Numeric, Axis >::dim_, npstat::LinInterpolatedTableND< Numeric, Axis >::functionLabel_, npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_, npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_, mps_update::status, and npstat::ArrayND< Numeric, StackLen, StackDim >::write().

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::classId(), and npstat::StorableInterpolationFunctor< Numeric, Axis, Converter >::write().

    {
        const bool status = data_.classId().write(of) &&
                            data_.write(of) &&
                            gs::write_obj_vector(of, axes_);
        if (status)
        {
            gs::write_pod_array(of, leftInterpolationLinear_, dim_);
            gs::write_pod_array(of, rightInterpolationLinear_, dim_);
            gs::write_pod(of, functionLabel_);
        }
        return status && !of.fail();
    }

Friends And Related Function Documentation

template<class Numeric, class Axis = UniformAxis>

template<typename Num2 , typename Axis2 >

friend class LinInterpolatedTableND

friend

Definition at line 34 of file LinInterpolatedTableND.h.

Member Data Documentation

template<class Numeric, class Axis = UniformAxis>

bool npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated_

private

Definition at line 232 of file LinInterpolatedTableND.h.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND(), and npstat::LinInterpolatedTableND< Numeric, Axis >::operator()().

template<class Numeric, class Axis = UniformAxis>

std::vector<Axis> npstat::LinInterpolatedTableND< Numeric, Axis >::axes_

private

Definition at line 227 of file LinInterpolatedTableND.h.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::axes(), npstat::LinInterpolatedTableND< Numeric, Axis >::axis(), npstat::LinInterpolatedTableND< Numeric, Axis >::getCoords(), npstat::LinInterpolatedTableND< Numeric, Axis >::invertRatioResponse(), npstat::LinInterpolatedTableND< Numeric, Axis >::invertWRTAxis(), npstat::LinInterpolatedTableND< Numeric, Axis >::isUniformlyBinned(), npstat::LinInterpolatedTableND< Numeric, Axis >::isWithinLimits(), npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND(), npstat::LinInterpolatedTableND< Numeric, Axis >::operator()(), npstat::LinInterpolatedTableND< Numeric, Axis >::operator==(), and npstat::LinInterpolatedTableND< Numeric, Axis >::write().

template<class Numeric, class Axis = UniformAxis>

ArrayND<Numeric> npstat::LinInterpolatedTableND< Numeric, Axis >::data_

private

Definition at line 226 of file LinInterpolatedTableND.h.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::getCoords(), npstat::LinInterpolatedTableND< Numeric, Axis >::invertRatioResponse(), npstat::LinInterpolatedTableND< Numeric, Axis >::invertWRTAxis(), npstat::LinInterpolatedTableND< Numeric, Axis >::length(), npstat::LinInterpolatedTableND< Numeric, Axis >::operator()(), npstat::LinInterpolatedTableND< Numeric, Axis >::operator==(), npstat::LinInterpolatedTableND< Numeric, Axis >::table(), and npstat::LinInterpolatedTableND< Numeric, Axis >::write().

template<class Numeric, class Axis = UniformAxis>

unsigned npstat::LinInterpolatedTableND< Numeric, Axis >::dim_

private

Definition at line 231 of file LinInterpolatedTableND.h.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated(), npstat::LinInterpolatedTableND< Numeric, Axis >::dim(), npstat::LinInterpolatedTableND< Numeric, Axis >::getCoords(), npstat::LinInterpolatedTableND< Numeric, Axis >::interpolationType(), npstat::LinInterpolatedTableND< Numeric, Axis >::invertRatioResponse(), npstat::LinInterpolatedTableND< Numeric, Axis >::invertWRTAxis(), npstat::LinInterpolatedTableND< Numeric, Axis >::isUniformlyBinned(), npstat::LinInterpolatedTableND< Numeric, Axis >::isWithinLimits(), npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear(), npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND(), npstat::LinInterpolatedTableND< Numeric, Axis >::operator()(), npstat::LinInterpolatedTableND< Numeric, Axis >::operator==(), npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear(), and npstat::LinInterpolatedTableND< Numeric, Axis >::write().

template<class Numeric, class Axis = UniformAxis>

std::string npstat::LinInterpolatedTableND< Numeric, Axis >::functionLabel_

private

Definition at line 228 of file LinInterpolatedTableND.h.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::functionLabel(), npstat::LinInterpolatedTableND< Numeric, Axis >::operator==(), npstat::LinInterpolatedTableND< Numeric, Axis >::setFunctionLabel(), and npstat::LinInterpolatedTableND< Numeric, Axis >::write().

template<class Numeric, class Axis = UniformAxis>

char npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear_[CHAR_BIT *sizeof(unsigned long)]

private

Definition at line 229 of file LinInterpolatedTableND.h.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated(), npstat::LinInterpolatedTableND< Numeric, Axis >::interpolationType(), npstat::LinInterpolatedTableND< Numeric, Axis >::leftInterpolationLinear(), npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND(), npstat::LinInterpolatedTableND< Numeric, Axis >::operator()(), npstat::LinInterpolatedTableND< Numeric, Axis >::operator==(), and npstat::LinInterpolatedTableND< Numeric, Axis >::write().

template<class Numeric, class Axis = UniformAxis>

char npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear_[CHAR_BIT *sizeof(unsigned long)]

private

Definition at line 230 of file LinInterpolatedTableND.h.

Referenced by npstat::LinInterpolatedTableND< Numeric, Axis >::allConstInterpolated(), npstat::LinInterpolatedTableND< Numeric, Axis >::interpolationType(), npstat::LinInterpolatedTableND< Numeric, Axis >::LinInterpolatedTableND(), npstat::LinInterpolatedTableND< Numeric, Axis >::operator()(), npstat::LinInterpolatedTableND< Numeric, Axis >::operator==(), npstat::LinInterpolatedTableND< Numeric, Axis >::rightInterpolationLinear(), and npstat::LinInterpolatedTableND< Numeric, Axis >::write().