Geant4  10.01.p02
c2_linear_p< float_type > Class Template Reference

create a linear mapping of another functionfor example, given a c2_function f More...

#include <c2_function.hh>

+ Inheritance diagram for c2_linear_p< float_type >:
+ Collaboration diagram for c2_linear_p< float_type >:

Public Member Functions

 c2_linear_p (float_type x0, float_type y0, float_type slope)
 Construct the operator f=y0 + slope * (x-x0) More...
 
void reset (float_type x0, float_type y0, float_type slope)
 Change the slope and intercepts after construction. 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)
 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...
 

Protected Member Functions

 c2_linear_p ()
 
- 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)
 

Private Attributes

float_type xint
 
float_type intercept
 
float_type m
 

Additional Inherited Members

- 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_linear_p< float_type >

create a linear mapping of another function

for example, given a c2_function f

c2_function<double> &F=c2_linear<double>(1.2, 2.0, 3.0)(f);

produces a new c2_function F=2.0+3.0*(f - 1.2)

The factory function c2_factory::linear() creates *new c2_linear_p

Definition at line 1798 of file c2_function.hh.

Constructor & Destructor Documentation

template<typename float_type = double>
c2_linear_p< float_type >::c2_linear_p ( float_type  x0,
float_type  y0,
float_type  slope 
)
inline

Construct the operator f=y0 + slope * (x-x0)

Parameters
x0the x offset
y0the y-intercept i.e. f(x0)
slopethe slope of the mapping

Definition at line 1804 of file c2_function.hh.

template<typename float_type = double>
c2_linear_p< float_type >::c2_linear_p ( )
inlineprotected

Definition at line 1817 of file c2_function.hh.

Member Function Documentation

template<typename float_type = double>
void c2_linear_p< float_type >::reset ( float_type  x0,
float_type  y0,
float_type  slope 
)
inline

Change the slope and intercepts after construction.

Parameters
x0the x offset
y0the y-intercept
slopethe slope of the mapping

Definition at line 1810 of file c2_function.hh.

Referenced by G4ScreenedCoulombClassicalKinematics::DoScreeningComputation(), and G4NativeScreenedCoulombCrossSection::LoadData().

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template<typename float_type = double>
virtual float_type c2_linear_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 needed.

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 1811 of file c2_function.hh.

Member Data Documentation

template<typename float_type = double>
float_type c2_linear_p< float_type >::intercept
private
template<typename float_type = double>
float_type c2_linear_p< float_type >::m
private
template<typename float_type = double>
float_type c2_linear_p< float_type >::xint
private

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