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Create a very lightweight method to return a scalar multiple of another function. \ \The factory function c2_factory::scaled_function() creates *new c2_scaled_function_p. More...

#include <c2_function.hh>

Inheritance diagram for c2_scaled_function_p< float_type >:
c2_function< float_type >

Public Member Functions

 c2_scaled_function_p (const c2_function< float_type > &outer, float_type scale)
 construct the function with its scale factor. More...
 
void reset (float_type scale)
 set a new scale factor 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_scaled_function_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)
 

Protected Attributes

const c2_const_ptr< float_type > func
 the scaling factor for the function More...
 
float_type yscale
 
- 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_scaled_function_p< float_type >

Create a very lightweight method to return a scalar multiple of another function. \ \

The factory function c2_factory::scaled_function() creates *new c2_scaled_function_p.

Definition at line 899 of file c2_function.hh.

Constructor & Destructor Documentation

template<typename float_type = double>
c2_scaled_function_p< float_type >::c2_scaled_function_p ( const c2_function< float_type > &  outer,
float_type  scale 
)
inline

construct the function with its scale factor.

Parameters
outerthe function to be scaled
scalethe multiplicative scale factor

Definition at line 905 of file c2_function.hh.

905  :
906  c2_function<float_type>(), func(outer), yscale(scale) { }
the parent class for all c2_functions.c2_functions know their value, first, and second derivative at ...
Definition: c2_function.hh:138
const c2_const_ptr< float_type > func
the scaling factor for the function
Definition: c2_function.hh:926
template<typename float_type = double>
c2_scaled_function_p< float_type >::c2_scaled_function_p ( )
inlineprotected

Definition at line 924 of file c2_function.hh.

924 : func() {} // hide default constructor, since its use is almost always an error.
const c2_const_ptr< float_type > func
the scaling factor for the function
Definition: c2_function.hh:926

Member Function Documentation

template<typename float_type = double>
void c2_scaled_function_p< float_type >::reset ( float_type  scale)
inline

set a new scale factor

Parameters
scalethe new factor

Definition at line 910 of file c2_function.hh.

References c2_scaled_function_p< float_type >::yscale.

910 { yscale=scale; }
template<typename float_type = double>
virtual float_type c2_scaled_function_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

provide our own value_with_derivatives which bypasses the combiner for quicker operation

Implements c2_function< float_type >.

Definition at line 915 of file c2_function.hh.

References c2_scaled_function_p< float_type >::func, test::x, and c2_scaled_function_p< float_type >::yscale.

916  {
917  float_type y=this->func->value_with_derivatives(x, yprime, yprime2);
918  if(yprime) (*yprime)*=yscale;
919  if(yprime2) (*yprime2)*=yscale;
920  return y*yscale;
921  }
const c2_const_ptr< float_type > func
the scaling factor for the function
Definition: c2_function.hh:926

Field Documentation

template<typename float_type = double>
const c2_const_ptr<float_type> c2_scaled_function_p< float_type >::func
protected

the scaling factor for the function

Definition at line 926 of file c2_function.hh.

Referenced by c2_scaled_function_p< float_type >::value_with_derivatives().

template<typename float_type = double>
float_type c2_scaled_function_p< float_type >::yscale
protected

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