lin_log_interpolating_function_p< float_type > Class Template Reference
A spline with Y transformed into log space.Most useful for functions looking like y=exp(x) More...
#include <c2_function.hh>
Inheritance diagram for lin_log_interpolating_function_p< float_type >: Collaboration diagram for lin_log_interpolating_function_p< float_type >:Public Member Functions | |
| lin_log_interpolating_function_p () | |
| an empty linear-log cubic-spline interpolating_function_p More... | |
| virtual interpolating_function_p < float_type > & | clone () const throw (c2_exception) |
| Public Member Functions inherited from interpolating_function_p< float_type > | |
| interpolating_function_p () | |
| an empty linear-linear cubic-spline interpolating_function_p More... | |
| interpolating_function_p (const c2_function_transformation< float_type > &transform) | |
| an empty cubic-spline interpolating_function_p with a specific transform More... | |
| interpolating_function_p < float_type > & | load (const std::vector< float_type > &x, const std::vector< float_type > &f, bool lowerSlopeNatural, float_type lowerSlope, bool upperSlopeNatural, float_type upperSlope, bool splined=true) throw (c2_exception) |
| do the dirty work of constructing the spline from a function. More... | |
| interpolating_function_p < float_type > & | load_pairs (std::vector< std::pair< float_type, float_type > > &data, bool lowerSlopeNatural, float_type lowerSlope, bool upperSlopeNatural, float_type upperSlope, bool splined=true) throw (c2_exception) |
| do the dirty work of constructing the spline from a function. More... | |
| interpolating_function_p < float_type > & | sample_function (const c2_function< float_type > &func, float_type amin, float_type amax, float_type abs_tol, float_type rel_tol, bool lowerSlopeNatural, float_type lowerSlope, bool upperSlopeNatural, float_type upperSlope) throw (c2_exception) |
| do the dirty work of constructing the spline from a function. More... | |
| interpolating_function_p < float_type > & | load_random_generator_function (const std::vector< float_type > &bincenters, const c2_function< float_type > &binheights) throw (c2_exception) |
| initialize from a grid of points and a c2_function (un-normalized) to an interpolator which, when evaluated with a uniform random variate on [0,1] returns random numbers distributed as the input function. More... | |
| interpolating_function_p < float_type > & | load_random_generator_bins (const std::vector< float_type > &bins, const std::vector< float_type > &binheights, bool splined=true) throw (c2_exception) |
| 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... | |
| virtual | ~interpolating_function_p () |
| destructor More... | |
| void | get_data (std::vector< float_type > &xvals, std::vector< float_type > &yvals) const throw () |
| void | get_internal_data (std::vector< float_type > &xvals, std::vector< float_type > &yvals, std::vector< float_type > &y2vals) const |
| void | set_lower_extrapolation (float_type bound) |
| void | set_upper_extrapolation (float_type bound) |
| interpolating_function_p < float_type > & | unary_operator (const c2_function< float_type > &source) const |
| interpolating_function_p < float_type > & | binary_operator (const c2_function< float_type > &rhs, const c2_binary_function< float_type > *combining_stub) const |
| interpolating_function_p < float_type > & | add_pointwise (const c2_function< float_type > &rhs) const |
| interpolating_function_p < float_type > & | subtract_pointwise (const c2_function< float_type > &rhs) const |
| interpolating_function_p < float_type > & | multiply_pointwise (const c2_function< float_type > &rhs) const |
| interpolating_function_p < float_type > & | divide_pointwise (const c2_function< float_type > &rhs) const |
| void | clone_data (const interpolating_function_p< float_type > &rhs) |
| 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 | |
| Public Attributes inherited from interpolating_function_p< float_type > | |
| const c2_function_transformation < float_type > & | fTransform |
| Protected Member Functions inherited from interpolating_function_p< float_type > | |
| void | spline (bool lowerSlopeNatural, float_type lowerSlope, bool upperSlopeNatural, float_type upperSlope) throw (c2_exception) |
| create the spline coefficients More... | |
| 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) |
| Static Protected Member Functions inherited from interpolating_function_p< float_type > | |
| static bool | comp_pair (std::pair< float_type, float_type > const &i, std::pair< float_type, float_type > const &j) |
| Protected Attributes inherited from interpolating_function_p< float_type > | |
| std::vector< float_type > | Xraw |
| std::vector< float_type > | X |
| std::vector< float_type > | F |
| std::vector< float_type > | y2 |
| c2_const_ptr< float_type > | sampler_function |
| bool | xInverted |
| size_t | lastKLow |
| 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 lin_log_interpolating_function_p< float_type >
A spline with Y transformed into log space.
Most useful for functions looking like y=exp(x)
Definition at line 1744 of file c2_function.hh.
Constructor & Destructor Documentation
template<typename float_type = double>
|
inline |
an empty linear-log cubic-spline interpolating_function_p
Definition at line 1749 of file c2_function.hh.
Member Function Documentation
template<typename float_type = double>
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inlinevirtual | |||||||||||||
Reimplemented from interpolating_function_p< float_type >.
Definition at line 1753 of file c2_function.hh.
The documentation for this class was generated from the following file:
- geant4.10.03/examples/extended/electromagnetic/TestEm7/include/c2_function.hh
