Geant4  10.03
c2_sqrt_p< float_type > Class Template Reference

compute sqrt(x) with its derivatives.The factory function c2_factory::sqrt() creates *new c2_sqrt_p() More...

#include <c2_function.hh>

+ Inheritance diagram for c2_sqrt_p< float_type >:
+ Collaboration diagram for c2_sqrt_p< float_type >:

Public Member Functions

 c2_sqrt_p ()
 constructor. 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...
 
- 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)
 solve f(x)=value partial_integrals uses a method with an error O(dx**10) with full information from the derivatives, and falls back to lower order methods if informed of incomplete derivatives. It uses exact midpoint splitting of the intervals for recursion, resulting in no recomputation of the function during recursive descent at previously computed points. 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
 
float_type xmax () const
 
void set_domain (float_type amin, float_type amax)
 
size_t get_evaluations () const
 and sampler do increment it. 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
 
void preen_sampling_grid (std::vector< float_type > *result) const
 The grid is modified in place. More...
 
void refine_sampling_grid (std::vector< float_type > &grid, size_t refinement) const
 
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)
 
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
 
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)
 
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

- Protected Member Functions inherited from c2_function< float_type >
 c2_function (const c2_function< float_type > &src)
 
 c2_function ()
 
virtual void set_sampling_grid_pointer (std::vector< float_type > &grid)
 
- Protected Attributes inherited from c2_function< float_type >
std::vector< float_type > * sampling_grid
 
bool no_overwrite_grid
 
float_type fXMin
 
float_type fXMax
 
size_t evaluations
 
float_type bad_x_point
 this point may be used to record where a calculation ran into trouble More...
 

Detailed Description

template<typename float_type = double>
class c2_sqrt_p< float_type >

compute sqrt(x) with its derivatives.

The factory function c2_factory::sqrt() creates *new c2_sqrt_p()

Definition at line 1903 of file c2_function.hh.

Constructor & Destructor Documentation

template<typename float_type = double>
c2_sqrt_p< float_type >::c2_sqrt_p ( )
inline

constructor.

Definition at line 1907 of file c2_function.hh.

Member Function Documentation

template<typename float_type = double>
virtual float_type c2_sqrt_p< float_type >::value_with_derivatives ( float_type  x,
float_type *  yprime,
float_type *  yprime2 
) const
throw (c2_exception
)
inlinevirtual

get the value and derivatives.

There is required checking for null pointers on the derivatives, and most implementations should operate faster if derivatives are not

Parameters
[in]xthe point at which to evaluate the function
[out]yprimethe first derivative (if pointer is non-null)
[out]yprime2the second derivative (if pointer is non-null)
Returns
the value of the function

Implements c2_function< float_type >.

Definition at line 1909 of file c2_function.hh.


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