c2_power_law_p< float_type > Class Template Reference
create a power law mapping of another functionfor example, given a c2_function f More...
#include <c2_function.hh>
Inheritance diagram for c2_power_law_p< float_type >: Collaboration diagram for c2_power_law_p< float_type >:Public Member Functions | |
| c2_power_law_p (float_type scale, float_type power) | |
| Construct the operator. More... | |
| void | reset (float_type scale, float_type power) |
| Modify the mapping 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_power_law_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 | a |
| float_type | b |
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_power_law_p< float_type >
create a power law mapping of another function
for example, given a c2_function f
c2_power_law_p<double> PLaw(1.2, 2.5);
c2_composed_function_p<double> &F=PLaw(f);
produces a new c2_function F=1.2 * f^2.5
The factory function c2_factory::power_law() creates *new c2_power_law_p
Definition at line 1869 of file c2_function.hh.
Constructor & Destructor Documentation
template<typename float_type = double>
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inline |
Construct the operator.
- Parameters
-
scale the multipler power the exponent
Definition at line 1874 of file c2_function.hh.
template<typename float_type = double>
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inlineprotected |
Definition at line 1886 of file c2_function.hh.
Member Function Documentation
template<typename float_type = double>
|
inline |
Modify the mapping after construction.
- Parameters
-
scale the new multipler power the new exponent
Definition at line 1879 of file c2_function.hh.
References c2_power_law_p< float_type >::a, and c2_power_law_p< float_type >::b.
template<typename float_type = double>
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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] x the point at which to evaluate the function [out] yprime the first derivative (if pointer is non-null) [out] yprime2 the second derivative (if pointer is non-null)
- Returns
- the value of the function
Implements c2_function< float_type >.
Definition at line 1880 of file c2_function.hh.
References c2_power_law_p< float_type >::a, and c2_power_law_p< float_type >::b.
Member Data Documentation
template<typename float_type = double>
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private |
Definition at line 1884 of file c2_function.hh.
Referenced by c2_power_law_p< float_type >::reset(), and c2_power_law_p< float_type >::value_with_derivatives().
template<typename float_type = double>
|
private |
Definition at line 1884 of file c2_function.hh.
Referenced by c2_power_law_p< float_type >::reset(), and c2_power_law_p< float_type >::value_with_derivatives().
The documentation for this class was generated from the following file:
- geant4.10.01.p03/examples/extended/electromagnetic/TestEm7/include/c2_function.hh
