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log_log_interpolating_function_p< float_type > Class Template Reference

A spline with X and Y transformed into log space.Most useful for functions looking like y=x^n or any other function with a huge X and Y dynamic range. More...

#include <c2_function.hh>

Inheritance diagram for log_log_interpolating_function_p< float_type >:
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Collaboration diagram for log_log_interpolating_function_p< float_type >:
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Public Member Functions

 log_log_interpolating_function_p ()
 an empty log-log cubic-spline interpolating_function_p More...
 
virtual
interpolating_function_p
< float_type > & 
clone () const throw (c2_exception)
 create a new, empty interpolating function of this type (virtual constructor) More...
 
- Public Member Functions inherited from interpolating_function_p< float_type >
 interpolating_function_p ()
 an empty linear-linear cubic-spline interpolating_function_p More...
 
 interpolating_function_p (const c2_function_transformation< float_type > &transform)
 an empty cubic-spline interpolating_function_p with a specific transform More...
 
interpolating_function_p
< float_type > & 
load (const std::vector< float_type > &x, const std::vector< float_type > &f, bool lowerSlopeNatural, float_type lowerSlope, bool upperSlopeNatural, float_type upperSlope, bool splined=true) throw (c2_exception)
 do the dirty work of constructing the spline from a function. More...
 
interpolating_function_p
< float_type > & 
load_pairs (std::vector< std::pair< float_type, float_type > > &data, bool lowerSlopeNatural, float_type lowerSlope, bool upperSlopeNatural, float_type upperSlope, bool splined=true) throw (c2_exception)
 do the dirty work of constructing the spline from a function. More...
 
interpolating_function_p
< float_type > & 
sample_function (const c2_function< float_type > &func, float_type amin, float_type amax, float_type abs_tol, float_type rel_tol, bool lowerSlopeNatural, float_type lowerSlope, bool upperSlopeNatural, float_type upperSlope) throw (c2_exception)
 do the dirty work of constructing the spline from a function. More...
 
interpolating_function_p
< float_type > & 
load_random_generator_function (const std::vector< float_type > &bincenters, const c2_function< float_type > &binheights) throw (c2_exception)
 initialize from a grid of points and a c2_function (un-normalized) to an interpolator which, when evaluated with a uniform random variate on [0,1] returns random numbers distributed as the input function. More...
 
interpolating_function_p
< float_type > & 
load_random_generator_bins (const std::vector< float_type > &bins, const std::vector< float_type > &binheights, bool splined=true) throw (c2_exception)
 initialize from a grid of points and an std::vector of probability densities (un-normalized) to an interpolator which, when evaluated with a uniform random variate on [0,1] returns random numbers distributed as the input histogram. More...
 
virtual float_type value_with_derivatives (float_type x, float_type *yprime, float_type *yprime2) const throw (c2_exception)
 get the value and derivatives. More...
 
virtual ~interpolating_function_p ()
 destructor More...
 
void get_data (std::vector< float_type > &xvals, std::vector< float_type > &yvals) const throw ()
 retrieve copies of the x & y tables from which this was built More...
 
void get_internal_data (std::vector< float_type > &xvals, std::vector< float_type > &yvals, std::vector< float_type > &y2vals) const
 retrieve copies of the transformed x, y and y2 tables from which this was built More...
 
void set_lower_extrapolation (float_type bound)
 enable extrapolation of the function below the tabulated data. More...
 
void set_upper_extrapolation (float_type bound)
 enable extrapolation of the function above the tabulated data. More...
 
interpolating_function_p
< float_type > & 
unary_operator (const c2_function< float_type > &source) const
 create a new interpolating_function_p which is the source function applied to every point in the interpolating tables More...
 
interpolating_function_p
< float_type > & 
binary_operator (const c2_function< float_type > &rhs, const c2_binary_function< float_type > *combining_stub) const
 create a new interpolating_function_p which is the parent interpolating_function_p combined with rhs using combiner at every point in the interpolating tables More...
 
interpolating_function_p
< float_type > & 
add_pointwise (const c2_function< float_type > &rhs) const
 produce a newly resampled interpolating_function_p which is the specified sum. More...
 
interpolating_function_p
< float_type > & 
subtract_pointwise (const c2_function< float_type > &rhs) const
 produce a newly resampled interpolating_function_p which is the specified difference. More...
 
interpolating_function_p
< float_type > & 
multiply_pointwise (const c2_function< float_type > &rhs) const
 produce a newly resampled interpolating_function_p which is the specified product. More...
 
interpolating_function_p
< float_type > & 
divide_pointwise (const c2_function< float_type > &rhs) const
 produce a newly resampled interpolating_function_p which is the specified ratio. More...
 
void clone_data (const interpolating_function_p< float_type > &rhs)
 copy data from another interpolating function. This only makes sense if the source More...
 
- Public Member Functions inherited from c2_function< float_type >
const std::string cvs_header_vers () const
 get versioning information for the header file More...
 
const std::string cvs_file_vers () const
 get versioning information for the source file More...
 
virtual ~c2_function ()
 destructor More...
 
float_type operator() (float_type x) const throw (c2_exception)
 evaluate the function in the classic way, ignoring derivatives. More...
 
float_type operator() (float_type x, float_type *yprime, float_type *yprime2) const throw (c2_exception)
 get the value and derivatives. More...
 
float_type find_root (float_type lower_bracket, float_type upper_bracket, float_type start, float_type value, int *error=0, float_type *final_yprime=0, float_type *final_yprime2=0) const throw (c2_exception)
 solve f(x)==value very efficiently, with explicit knowledge of derivatives of the function More...
 
float_type partial_integrals (std::vector< float_type > xgrid, std::vector< float_type > *partials=0, float_type abs_tol=1e-12, float_type rel_tol=1e-12, int derivs=2, bool adapt=true, bool extrapolate=true) const throw (c2_exception)
 for points in xgrid, adaptively return Integral[f(x),{x,xgrid[i],xgrid[i+1]}] and return in vector, along with sum More...
 
float_type integral (float_type amin, float_type amax, std::vector< float_type > *partials=0, float_type abs_tol=1e-12, float_type rel_tol=1e-12, int derivs=2, bool adapt=true, bool extrapolate=true) const throw (c2_exception)
 a fully-automated integrator which uses the information provided by the get_sampling_grid() function to figure out what to do. More...
 
c2_piecewise_function_p
< float_type > * 
adaptively_sample (float_type amin, float_type amax, float_type abs_tol=1e-12, float_type rel_tol=1e-12, int derivs=2, std::vector< float_type > *xvals=0, std::vector< float_type > *yvals=0) const throw (c2_exception)
 create a c2_piecewise_function_p from c2_connector_function_p segments which is a representation of the parent function to the specified accuracy, but maybe much cheaper to evaluate More...
 
float_type xmin () const
 return the lower bound of the domain for this function as set by set_domain() More...
 
float_type xmax () const
 return the upper bound of the domain for this function as set by set_domain() More...
 
void set_domain (float_type amin, float_type amax)
 set the domain for this function. More...
 
size_t get_evaluations () const
 this is a counter owned by the function but which can be used to monitor efficiency of algorithms. More...
 
void reset_evaluations () const
 reset the counter More...
 
void increment_evaluations () const
 count evaluations More...
 
bool check_monotonicity (const std::vector< float_type > &data, const char message[]) const throw (c2_exception)
 check that a vector is monotonic, throw an exception if not, and return a flag if it is reversed More...
 
virtual void set_sampling_grid (const std::vector< float_type > &grid) throw (c2_exception)
 establish a grid of 'interesting' points on the function. More...
 
std::vector< float_type > * get_sampling_grid_pointer () const
 get the sampling grid, which may be a null pointer More...
 
virtual void get_sampling_grid (float_type amin, float_type amax, std::vector< float_type > &grid) const
 return the grid of 'interesting' points along this function which lie in the region requested More...
 
void preen_sampling_grid (std::vector< float_type > *result) const
 clean up endpoints on a grid of points More...
 
void refine_sampling_grid (std::vector< float_type > &grid, size_t refinement) const
 refine a grid by splitting each interval into more intervals More...
 
c2_function< float_type > & normalized_function (float_type amin, float_type amax, float_type norm=1.0) const throw (c2_exception)
 create a new c2_function from this one which is normalized on the interval More...
 
c2_function< float_type > & square_normalized_function (float_type amin, float_type amax, float_type norm=1.0) const throw (c2_exception)
 create a new c2_function from this one which is square-normalized on the interval More...
 
c2_function< float_type > & square_normalized_function (float_type amin, float_type amax, const c2_function< float_type > &weight, float_type norm=1.0) const throw (c2_exception)
 create a new c2_function from this one which is square-normalized with the provided weight on the interval More...
 
c2_sum_p< float_type > & operator+ (const c2_function< float_type > &rhs) const
 factory function to create a c2_sum_p from a regular algebraic expression. More...
 
c2_diff_p< float_type > & operator- (const c2_function< float_type > &rhs) const
 factory function to create a c2_diff_p from a regular algebraic expression. More...
 
c2_product_p< float_type > & operator* (const c2_function< float_type > &rhs) const
 factory function to create a c2_product_p from a regular algebraic expression. More...
 
c2_ratio_p< float_type > & operator/ (const c2_function< float_type > &rhs) const
 factory function to create a c2_ratio_p from a regular algebraic expression. More...
 
c2_composed_function_p
< float_type > & 
operator() (const c2_function< float_type > &inner) const
 compose this function outside another. More...
 
float_type get_trouble_point () const
 Find out where a calculation ran into trouble, if it got a nan. If the most recent computation did not return a nan, this is undefined. More...
 
void claim_ownership () const
 increment our reference count. Destruction is only legal if the count is zero. More...
 
size_t release_ownership_for_return () const throw (c2_exception)
 decrement our reference count. Do not destroy at zero. More...
 
void release_ownership () const throw (c2_exception)
 decrement our reference count. If the count reaches zero, destroy ourself. More...
 
size_t count_owners () const
 get the reference count, mostly for debugging More...
 
void fill_fblock (c2_fblock< float_type > &fb) const throw (c2_exception)
 fill in a c2_fblock<float_type>... a shortcut for the integrator & sampler More...
 

Additional Inherited Members

- Public Attributes inherited from interpolating_function_p< float_type >
const
c2_function_transformation
< float_type > & 
fTransform
 
- Protected Member Functions inherited from interpolating_function_p< float_type >
void spline (bool lowerSlopeNatural, float_type lowerSlope, bool upperSlopeNatural, float_type upperSlope) throw (c2_exception)
 create the spline coefficients More...
 
- Static Protected Member Functions inherited from interpolating_function_p< float_type >
static bool comp_pair (std::pair< float_type, float_type > const &i, std::pair< float_type, float_type > const &j)
 
- Protected Attributes inherited from interpolating_function_p< float_type >
std::vector< float_type > Xraw
 
std::vector< float_type > X
 
std::vector< float_type > F
 
std::vector< float_type > y2
 
c2_const_ptr< float_type > sampler_function
 
bool xInverted
 
size_t lastKLow
 

Detailed Description

template<typename float_type = double>
class log_log_interpolating_function_p< float_type >

A spline with X and Y transformed into log space.

Most useful for functions looking like y=x^n or any other function with a huge X and Y dynamic range.

The factory function c2_factory::log_log_interpolating_function() creates *new log_log_interpolating_function_p()

Definition at line 1631 of file c2_function.hh.

Constructor & Destructor Documentation

template<typename float_type = double>
log_log_interpolating_function_p< float_type >::log_log_interpolating_function_p ( )
inline

an empty log-log cubic-spline interpolating_function_p

Definition at line 1635 of file c2_function.hh.

Member Function Documentation

template<typename float_type = double>
virtual interpolating_function_p<float_type>& log_log_interpolating_function_p< float_type >::clone ( ) const
throw (c2_exception
)
inlinevirtual

create a new, empty interpolating function of this type (virtual constructor)

Reimplemented from interpolating_function_p< float_type >.

Definition at line 1638 of file c2_function.hh.


The documentation for this class was generated from the following file: