c2_function.hh File Reference

Provides the headers for the general c2_function algebra which fast, flexible operations on piecewise-twice-differentiable functions. More...

#include <cmath>
#include <vector>
#include <utility>
#include <string>
#include <stdexcept>
#include <typeinfo>
#include <sstream>
#include <limits>
#include "c2_function.icc"

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Classes
class	c2_exception
	the exception class for c2_function operations. More...
class	c2_composed_function_p< float_type >
class	c2_sum_p< float_type >
class	c2_diff_p< float_type >
class	c2_product_p< float_type >
	create a c2_function which is the product of two other c2_functions.This should always be constructed using c2_function::operator*() More...
class	c2_ratio_p< float_type >
	create a c2_function which is the ratio of two other c2_functions.This should always be constructed using c2_function::operator/() More...
class	c2_piecewise_function_p< float_type >
	create a c2_function which is a piecewise assembly of other c2_functions.The functions must have increasing, non-overlapping domains. Any empty space between functions will be filled with a linear interpolation. More...
class	c2_quadratic_p< float_type >
	create a quadratic mapping of another functionfor example, given a c2_function f More...
class	c2_ptr< float_type >
class	c2_fblock< float_type >
	structure used to hold evaluated function data at a point. More...
class	c2_function< float_type >
	the parent class for all c2_functions.c2_functions know their value, first, and second derivative at almost every point. They can be efficiently combined with binary operators, via c2_binary_function, composed via c2_composed_function_, have their roots found via find_root(), and be adaptively integrated via partial_integrals() or integral(). They also can carry information with them about how to find 'interesting' points on the function. This information is set with set_sampling_grid() and extracted with get_sampling_grid(). More...
struct	c2_function< float_type >::recur_item
	the data element for the internal recursion stack for the sampler and integrator More...
struct	c2_function< float_type >::c2_integrate_recur
	structure used to pass information recursively in integrator. More...
struct	c2_function< float_type >::c2_sample_recur
	structure used to pass information recursively in sampler. More...
struct	c2_function< float_type >::c2_root_info
	structure used to hold root bracketing information More...
class	c2_classic_function_p< float_type >
	a container into which any conventional c-style function can be dropped, to create a degenerate c2_function without derivatives. Mostly useful for sampling into interpolating functions. construct a reference to this with c2_classic_function() More...
class	c2_const_ptr< float_type >
	create a container for a c2_function which handles the reference counting. It is useful as a smart container to hold a c2_function and keep the reference count correct. The recommended way for a class to store a c2_function which is handed in from the outside is for it to have a c2_ptr member into which the passed-in function is stored. This way, when the class instance is deleted, it will automatically dereference any function which it was handed. More...
class	c2_ptr< float_type >
class	c2_typed_ptr< float_type, c2_class >
class	c2_plugin_function_p< float_type >
class	c2_const_plugin_function_p< float_type >
class	c2_binary_function< float_type >
class	c2_scaled_function_p< float_type >
class	c2_cached_function_p< float_type >
	A container into which any other c2_function can be dropped.It allows a function to be pre-evaluated at a point, and used at multiple places in an expression efficiently. If it is re-evaluated at the previous point, it returns the remembered values; otherwise, it re-evauates the function at the new point. More...
class	c2_composed_function_p< float_type >
class	c2_sum_p< float_type >
class	c2_diff_p< float_type >
class	c2_product_p< float_type >
	create a c2_function which is the product of two other c2_functions.This should always be constructed using c2_function::operator*() More...
class	c2_ratio_p< float_type >
	create a c2_function which is the ratio of two other c2_functions.This should always be constructed using c2_function::operator/() More...
class	c2_constant_p< float_type >
	a c2_function which is constantThe factory function c2_factory::constant() creates *new c2_constant_p() More...
class	c2_transformation< float_type >
	a transformation of a coordinate, including an inverse More...
class	c2_transformation_linear< float_type >
	the identity transform More...
class	c2_transformation_log< float_type >
	log axis transform More...
class	c2_transformation_recip< float_type >
	reciprocal axis transform More...
class	c2_function_transformation< float_type >
	a transformation of a function in and out of a coordinate space, using 2 c2_transformations More...
class	c2_lin_lin_function_transformation< float_type >
	a transformation of a function in and out of lin-lin space More...
class	c2_log_log_function_transformation< float_type >
	a transformation of a function in and out of log-log space More...
class	c2_lin_log_function_transformation< float_type >
	a transformation of a function in and out of lin-log space More...
class	c2_log_lin_function_transformation< float_type >
	a transformation of a function in and out of log-lin space More...
class	c2_arrhenius_function_transformation< float_type >
	a transformation of a function in and out of Arrhenius (1/x vs. log(y)) space More...
class	interpolating_function_p< float_type >
	create a cubic spline interpolation of a set of (x,y) pairsThis is one of the main reasons for c2_function objects to exist. More...
class	log_lin_interpolating_function_p< float_type >
	A spline with X transformed into log space. More...
class	lin_log_interpolating_function_p< float_type >
	A spline with Y transformed into log space.Most useful for functions looking like y=exp(x) More...
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. More...
class	arrhenius_interpolating_function_p< float_type >
	A spline with X in reciprocal space and Y transformed in log space.Most useful for thermodynamic types of data where Y is roughly A*exp(-B/x). Typical examples are reaction rate data, and thermistor calibration data. More...
class	c2_sin_p< float_type >
	compute sin(x) with its derivatives.The factory function c2_factory::sin() creates *new c2_sin_p More...
class	c2_cos_p< float_type >
	compute cos(x) with its derivatives.The factory function c2_factory::cos() creates *new c2_cos_p More...
class	c2_tan_p< float_type >
	compute tan(x) with its derivatives.The factory function c2_factory::tan() creates *new c2_tan_p More...
class	c2_log_p< float_type >
	compute log(x) with its derivatives.The factory function c2_factory::log() creates *new c2_log_p More...
class	c2_exp_p< float_type >
	compute exp(x) with its derivatives.The factory function c2_factory::exp() creates *new c2_exp_p More...
class	c2_sqrt_p< float_type >
	compute sqrt(x) with its derivatives.The factory function c2_factory::sqrt() creates *new c2_sqrt_p() More...
class	c2_recip_p< float_type >
	compute scale/x with its derivatives.The factory function c2_factory::recip() creates *new c2_recip_p More...
class	c2_identity_p< float_type >
	compute x with its derivatives.The factory function c2_factory::identity() creates *new c2_identity_p More...
class	c2_linear_p< float_type >
	create a linear mapping of another functionfor example, given a c2_function f More...
class	c2_quadratic_p< float_type >
	create a quadratic mapping of another functionfor example, given a c2_function f More...
class	c2_power_law_p< float_type >
	create a power law mapping of another functionfor example, given a c2_function f More...
class	c2_inverse_function_p< float_type >
	create the formal inverse function of another functionfor example, given a c2_function f More...
class	accumulated_histogram< float_type >
	An interpolating_function_p which is the cumulative integral of a histogram.Note than binedges should be one element longer than binheights, since the lower & upper edges are specified. Note that this is a malformed spline, since the second derivatives are all zero, so it has less continuity. Also, note that the bin edges can be given in backwards order to generate the reversed accumulation (starting at the high end) More...
class	c2_connector_function_p< float_type >
	create a c2_function which smoothly connects two other c2_functions.This takes two points and generates a polynomial which matches two c2_function arguments at those two points, with two derivatives at each point, and an arbitrary value at the center of the region. It is useful for splicing together functions over rough spots (0/0, for example). More...
class	c2_piecewise_function_p< float_type >
	create a c2_function which is a piecewise assembly of other c2_functions.The functions must have increasing, non-overlapping domains. Any empty space between functions will be filled with a linear interpolation. More...

Macros
#define	c2_isnan   std::isnan
#define	c2_isfinite   std::isfinite

Detailed Description

Provides the headers for the general c2_function algebra which fast, flexible operations on piecewise-twice-differentiable functions.

Author

Created by R. A. Weller and Marcus H. Mendenhall on 7/9/05.

Copyright 2005 Vanderbilt University. All rights reserved.

   \version c2_function.hh 490 2012-04-10 19:05:40Z marcus 

See Also

Factory Functions for information on constructing

Definition in file c2_function.hh.

Macro Definition Documentation

#define c2_isfinite   std::isfinite

Definition at line 51 of file c2_function.hh.

View newest version in sPHENIX GitHub at line 51 of file c2_function.hh

Referenced by c2_function< G4double >::fill_fblock().

#define c2_isnan   std::isnan

Definition at line 50 of file c2_function.hh.

View newest version in sPHENIX GitHub at line 50 of file c2_function.hh

Referenced by c2_function< G4double >::fill_fblock().